# Course Under Construction

(See current Algebra 1 course)

**Lesson 1**

- *Print out your first quarter grading sheet. Save this sheet and record your scores.
- Lesson – Order of operations
- Practice – Order of operations
- Practice – Order of operations
- Take the quiz and record your score out of 5.

**Lesson 2**

- Lesson – Evaluate algebraic expressions
- Practice – Evaluate algebraic expressions
- Get at least 3 problems correct in each TRY IT section.

- Lesson – Simplify algebraic expressions
- Practice – Simplify algebraic expression
- Get at least 3 problems correct in each TRY IT section.

- Take the quiz and record your score out of 5.

**Solving Linear Equations **

**Lesson 3
**

- Lesson – Solve one- and two-step linear equations
- Practice – Solve one-step linear equations
- Practice – Solve two-step linear equations
- Take the quiz and record your score out of 5.

**Lesson 4**

- Lesson – Solve linear equations using the distributive property
- Practice – Solve multi-step equations by combining like terms
- Practice – Solve multi-step equations by using the distributive property
- Lesson – Solve linear equations with variables on both sides
- Practice – Solve linear equations with variables on both sides
- Practice – Solve linear equations with parentheses + variables on both sides
- Take the quiz and record your score out of 5.

**Lesson 5**

- Lesson – Solve linear equations with fractions and decimals
- Practice – Solve linear equations by clearing fractions
- Get at least 3 problems correct in each TRY IT section.

- Practice – Solve linear equations by clearing decimals
- Get at least 3 problems correct in each TRY IT section

- Take the quiz and record your score out of 5.

### 6. Solving Absolute Value Equations

- Lesson – Solve absolute value equations, https://content.nroc.org/Algebra.HTML5/U02L2T2/NROCTopicPlayer.html OR part 1 https://www.algebra-class.com/absolute-value-equation.html and part 2 https://www.algebra-class.com/equations-with-absolute-value-2.html

- https://www.coolmath.com/algebra/18-absolute-value-equations-inequalities/02-solving-absolute-value-equations-01
- Practice – Solve basic absolute value equations https://braingenie.ck12.org/skills/105490
- Practice – Solve one-step absolute value equations https://braingenie.ck12.org/skills/105491
- Practice – Solve complex absolute value equations https://braingenie.ck12.org/skills/105492

- Yay Math quiz https://docs.google.com/forms/d/e/1FAIpQLScj7zEU859NKJghVFeiK1_s8KguOPDrvDri2Tg1pp2TEPyfBQ/viewform
- Take the quiz and record your score out of 5.

### 7. Solving Linear Equations of All Types

- Practice – Solve multi-step linear equations, TRY IT at https://courses.lumenlearning.com/prealgebra/chapter/solving-multi-step-equations-using-a-general-strategy/

- http://content.apex-math.com/prealgebra/Unit4_Solving_Equations/Solving_Equations7.html
- Practice – Solve absolute value equations, Odd numbers at https://cdn.kutasoftware.com/Worksheets/Alg1/Absolute Value Equations.pdf (Video solutions at https://www.youtube.com/watch?v=1aheZAOJxrE)
- Take the quiz and record your score out of 5.

### 8. Number of Solutions to Linear Equations

- Lesson – Determine the number of solutions to linear equations https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:num-solutions-linear-equations/v/number-of-solutions-to-linear-equations
- Practice – Determine the number of solutions to linear equations https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:num-solutions-linear-equations/e/solutions-to-linear-equations
- Practice – Determine the number of solutions to linear equations (challenge) https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:num-solutions-linear-equations/e/complete-equations-according-to-solutions
- Practice – Multi-step linear equations https://www.thatquiz.org/tq/practicetest?jw3q3jdxemfp
- Take the quiz and record your score out of 5.

### 9. Word Problems: Linear Equations (Basic/Number problems)

- Examples – Linear equations word problems, Examples 1, 2, 3, 5, 6 at https://mathbitsnotebook.com/Algebra1/LinearEquations/LEWordProblems.html (They will study the other examples in the next two lessons.)

- General word problems (easy) https://edu.gcfglobal.org/en/algebra-topics/introduction-to-word-problems/1/
- Examples – Study examples 1 ~ 13 at https://saylordotorg.github.io/text_elementary-algebra/s05-05-applications-of-linear-equatio.html
- Practice – Number word problems, TRY IT at https://courses.lumenlearning.com/prealgebra/chapter/using-a-problem-solving-strategy-to-solve-number-problems/

- Consecutive integers http://content.apex-math.com/prealgebra/Unit11_Algebraic_Word_Problems/Word_Problems2.html
- Practice – Basic word problems, TRY IT at https://courses.lumenlearning.com/prealgebra/chapter/apply-a-problem-solving-strategy-to-basic-word-problems/

- Yay Math quiz, general word problems https://docs.google.com/forms/d/e/1FAIpQLSfy2e2-5XsIYSlh2aq3Bgq4aORhb4b0Iv5qhiuvee9BEPfNtQ/viewform
- Take the quiz and record your score out of 5.

### 10. Word problems: Linear Equations (Distance-rate-time problems)

- Lesson – Distance word problems https://edu.gcfglobal.org/en/algebra-topics/distance-word-problems/1/

- Distance-rate-time formula https://courses.lumenlearning.com/prealgebra/chapter/using-the-distance-rate-and-time-formula/
- Distance word problems (using tables) https://www.onlinemathlearning.com/distance-problems.html
- Examples – Example 4 at https://mathbitsnotebook.com/Algebra1/LinearEquations/LEWordProblems.html
- Examples – Setting up tables, Examples 14 ~ 15 at https://saylordotorg.github.io/text_elementary-algebra/s05-05-applications-of-linear-equatio.html
- Practice – Distance problems using tables, Student Practice at http://content.apex-math.com/prealgebra/Unit11_Algebraic_Word_Problems/Word_Problems3.html (Solutions for problems 8 ~ 15 at http://content.apex-math.com/prealgebra/Unit11_Algebraic_Word_Problems/Word_Problems5.html)

- https://cdn.kutasoftware.com/Worksheets/Alg1/Distance Rate Time Word Problems.pdf (Video solutions at https://www.youtube.com/watch?v=sXur5xlhwMI not made by Kuta)
- https://opentextbc.ca/intermediatealgebraberg/chapter/8-8-rate-word-problems-speed-distance-and-time/
- http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_WORD-DistanceRateTime.xml
- Take the quiz and record your score out of 5.

### 11. Word problems: Linear Equations (Mixture problems)

- Examples – https://www.khanacademy.org/math/algebra-home/alg-basic-eq-ineq/alg-linear-equations-word-problems/v/mixture-problems-2 and https://www.khanacademy.org/math/algebra-home/alg-basic-eq-ineq/alg-linear-equations-word-problems/v/mixture-problems-3
- Examples – Examples 7 and 8 https://mathbitsnotebook.com/Algebra1/LinearEquations/LEWordProblems.html
- Examples – Setting up tables https://www.purplemath.com/modules/mixture2.htm
- Practice – Mixture problems using tables, Student Practice at http://content.apex-math.com/prealgebra/Unit11_Algebraic_Word_Problems/Word_Problems4.html (Solutions starts in the middle of the page at http://content.apex-math.com/prealgebra/Unit11_Algebraic_Word_Problems/Word_Problems5.html)

- https://mathbitsnotebook.com/Algebra1/LinearEquations/LEmixturepractice.html (Solutions don’t use tables but just list equations)
- http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_WORD-Mixtures.xml
- Take the quiz and record your score out of 5.

### 12. Solving for a Variable

- Lesson – Solve equations and formulas for a specific variable, https://content.nroc.org/Algebra.HTML5/U02L1T4/NROCTopicPlayer.html
- Practice – Do the Practice on the link above.
- Practice – Solve formulas for a specific variable, TRY IT at https://courses.lumenlearning.com/prealgebra/chapter/solve-a-formula-for-a-specific-variable/

- https://mathbitsnotebook.com/Algebra1/LinearEquations/LELiteralEquationPractice.html (excluding #9)
- Take the quiz and record your score out of 5.

### 13. Catch up and Review

- Catch up if you are behind. Review lessons and quizzes that caused you trouble.
- If you don’t need to catch up, review the section Solving Linear Equations. Here are activities you can use:

- Play Jeopardy: Equations word problems https://jeopardylabs.com/play/equations-and-word-problems
- Play Jeopardy: Equations number word problems https://jeopardylabs.com/play/multi-step-equation-word-problems
- The Mystery X Puzzle: https://kpu.pressbooks.pub/intermediatealgebraberg/chapter/2-8-the-mystery-x-puzzle/
- Take the quiz and record your score for extra credit.

## Graphing Lines

### 14. Graphing Lines by Plotting Points

- *Print out graph paper. You can print out several pages and hold onto them. (NOTE: Attached in the email.)
- Lesson – Graph lines by plotting points https://www.openalgebra.com/2012/11/graph-by-plotting-points.html
- Practice – Graph lines by plotting points, Part A & B (odd numbers) at https://saylordotorg.github.io/text_elementary-algebra/s06-02-graph-by-plotting-points.html

- Graphing slope-intercept form https://braingenie.ck12.org/skills/105392
- Graphing standard form https://braingenie.ck12.org/skills/105393
- Odd numbers in Exercise 3.2.8 and Exercise 3.2.9 at https://math.libretexts.org/Bookshelves/Algebra/Book%3A_Beginning_Algebra_(Redden)/03%3A_Graphing_Lines/3.02%3A_Graph_by_Plotting_Points
- Take the quiz and record your score out of 5.

### 15. Slope of a Line

- Lesson – Find the slope from a graph https://content.nroc.org/Algebra.HTML5/U04L1T1/NROCTopicPlayer.html OR https://www.algebra-class.com/calculating-slope.html and https://www.algebra-class.com/how-to-find-the-slope.html
- Practice – Find the slope from a graph, Get at least 3 problems correct in each TRY IT section at https://courses.lumenlearning.com/prealgebra/chapter/finding-the-slope-of-a-line-from-its-graph/
- Practice – Find the slope given two points, Get at least 3 problems correct in each TRY IT section at https://courses.lumenlearning.com/prealgebra/chapter/finding-slope-given-two-points-on-a-line/

- Yay Math quiz https://docs.google.com/forms/d/e/1FAIpQLSefcxjHzJHaNtOUkstY1OJVSM4zpbgLwxFtBGO39PZsvBHq2w/viewform
- Take the quiz and record your score out of 5.

### 16. Graphing Lines in Slope-Intercept Form

- Lesson – Graph linear equations in slope-intercept form, https://content.nroc.org/Algebra.HTML5/U04L1T3/NROCTopicPlayer.html

OR https://www.algebra-class.com/slope-intercept-form.html

- Practice – Do the Practice on the first link above.
- Practice – Graph by using slope and y-intercept given slope-intercept form https://braingenie.ck12.org/skills/105414

- https://cdn.kutasoftware.com/Worksheets/Alg1/Graphing Lines SI.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=6DZYcDQO5BY part 2 https://www.youtube.com/watch?v=_HDQBzdO2pk)
- Take the quiz and record your score out of 5.

### 17. Graphing Lines in Standard Form

- Lesson – Graph linear equations in standard form https://www.algebra-class.com/graphing-linear-equations-2.html
- Practice – Identify slope and y-intercept given standard form https://braingenie.ck12.org/skills/105413
- Practice – Graph by using slope and y-intercept given standard form https://braingenie.ck12.org/skills/105415

- https://cdn.kutasoftware.com/Worksheets/Alg1/Graphing Lines SF.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=T5bhbOHt_iA&t=303s part 2 https://www.youtube.com/watch?v=tkPlEeEeCsk&t=27s)
- Take the quiz and record your score out of 5.

### 18. Graphing Lines Using Intercepts

- Lesson – Graph linear equations using intercepts https://content.nroc.org/Algebra.HTML5/U04L1T2/NROCTopicPlayer.html OR https://www.algebra-class.com/y-intercept.html
- Practice – Find x- and y- intercepts algebraically https://braingenie.ck12.org/skills/105397
- Practice – Graph linear equations in standard form https://cdn.kutasoftware.com/Worksheets/Alg1/Graphing Lines SF.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=T5bhbOHt_iA part 2 https://www.youtube.com/watch?v=tkPlEeEeCsk)
- Take the quiz and record your score out of 5.

### 19. Horizontal, Vertical, Parallel, and Perpendicular Lines

- Review – Graphing linear equations https://www.mathbootcamps.com/graphing-linear-equations/
- Lesson – Horizontal and vertical lines, Read https://www.coolmath.com/algebra/08-lines/08-graphing-horizontal-vertical-lines-01 OR Watch https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:horizontal-vertical-lines/v/examples-of-slopes-and-equations-of-horizontal-and-vertical-lines
- Practice – Horizontal and vertical lines https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:horizontal-vertical-lines/e/horizontal-and-vertical-lines
- Lesson – Parallel lines https://content.nroc.org/Algebra.HTML5/U04L2T1/NROCTopicPlayer.html OR https://www.coolmath.com/algebra/08-lines/13-parallel-lines-01
- Lesson – Perpendicular lines https://content.nroc.org/Algebra.HTML5/U04L2T2/NROCTopicPlayer.html OR https://www.coolmath.com/algebra/08-lines/14-perpendicular-lines-01
- Practice – Do the Practice at https://content.nroc.org/Algebra.HTML5/U04L2T1/NROCTopicPlayer.html
- Practice – Do the Practice at https://content.nroc.org/Algebra.HTML5/U04L2T2/NROCTopicPlayer.html

- Determine parallel vs perpendicular given two equations https://braingenie.ck12.org/skills/105449
- Take the quiz and record your score out of 5.

WORKBOOK https://www.purplemath.com/modules/slope3.htm

### 20. Graphing Absolute Value Equations (by plotting points, not by transformation yet, only a = 1)

- Lesson – Graph absolute value equations by plotting points, Read Page 1 at https://www.purplemath.com/modules/graphabs.htm or Watch https://www.youtube.com/watch?v=PJt5dSj7PN4

- https://www.ck12.org/algebra/graphs-of-absolute-value-equations/lesson/Graphs-of-Absolute-Value-Equations-BSC-ALG/
- Practice – Graph absolute value equations https://cdn.kutasoftware.com/Worksheets/Alg1/Graphing Abs Value.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=2yhAnEr94iM part 2 https://www.youtube.com/watch?v=KdPifZjd5UM&t=399s part 3 https://www.youtube.com/watch?v=s89_glkdrU0&t=194s)
- Take the quiz and record your score out of 5.

### 21. Catch up and Review

- Catch up if you are behind. Review lessons and quizzes that caused you trouble.
- If you don’t need to catch up, review the section Graphing Lines. Here are activities you can use:

- Play Jeopardy: Graphing linear equations https://jeopardylabs.com/play/graphing-linear-equations-55
- Play Jeopardy: Absolute value equations https://jeopardylabs.com/play/absolute-value-equations3
- The Newspaper Delivery Puzzle https://kpu.pressbooks.pub/intermediatealgebraberg/chapter/3-8-the-newspaper-delivery-puzzle/
- Take the quiz and record your score for extra credit.

## Finding Equations of Lines

### 22. Finding Equations of Lines in Slope-Intercept Form (given a graph)

- Review – Graph linear equations in slope-intercept form https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:graphing-slope-intercept-equations/e/graph-from-slope-intercept-equation
- Lesson – Write linear equations given a graph, Read https://www.algebra-class.com/writing-equations.html OR Watch https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:writing-slope-intercept-equations/v/graphs-using-slope-intercept-form
- Practice – Write linear equations given a graph https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:writing-slope-intercept-equations/e/slope-intercept-equation-from-graph
- Practice – Write linear equations given a graph https://braingenie.ck12.org/skills/105428
- Take the quiz and record your score out of 5.

### 23. Finding Equations of Lines in Slope-Intercept Form (given slope and a point, given two points)

- Lesson – Write linear equations given slope and a point, Read https://www.algebra-class.com/writing-linear-equations.html OR Watch https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:writing-slope-intercept-equations/v/equation-of-a-line-1
- Practice – Write linear equations given slope and a point https://braingenie.ck12.org/skills/105427
- Lesson – Write linear equations given two points, Read https://www.algebra-class.com/writing-algebra-equations.html OR Watch https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:writing-slope-intercept-equations/v/equation-of-a-line-3
- Practice – Write linear equations given two points https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:writing-slope-intercept-equations/e/slope-intercept-equation-from-two-points
- Lesson – Write equations of parallel lines given a line and one point https://braingenie.ck12.org/skills/107849
- Practice – Write equations of parallel lines given a line and one point https://braingenie.ck12.org/skills/105446
- Lesson – Write equations of perpendicular lines given a line and one point https://braingenie.ck12.org/skills/107850
- Practice – Write equations of perpendicular lines given a line and one point https://braingenie.ck12.org/skills/105447
- Take the quiz and record your score out of 5.

### 24. Finding Equations of Lines in Point-Slope Form (given slope and a point, given two point)

- Lesson – Write linear equations in point-slope form, Read https://www.algebra-class.com/point-slope-form.html OR Watch https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:point-slope-form/v/idea-behind-point-slope-form
- Practice – Write linear equations in point-slope form given slope and one point https://braingenie.ck12.org/skills/105431
- Practice – Write linear equations in point-slope form given two points https://braingenie.ck12.org/skills/105432
- Practice – Write linear equations in point-slope form given a graph https://braingenie.ck12.org/skills/105433
- Take the quiz and record your score out of 5.

### 25. Finding Equations of Lines in All Forms

- Lesson – Rewrite equations in standard form https://www.algebra-class.com/writing-equations-2.html
- Practice – Convert from slope-intercept to standard form https://braingenie.ck12.org/skills/105439
- Lesson – Write linear equations in all forms https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:summary-forms-of-two-variable-linear-equations/v/point-slope-and-standard-form
- Practice – Write linear equations in any form https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:summary-forms-of-two-variable-linear-equations/e/writing-the-equation-of-a-line-in-any-form
- Practice – Write linear equations in all forms, all problems at https://www.kidsmarteducation.com/wp-content/uploads/2016/12/A0404-Writing-Linear-Equations.pdf (Answers https://www.kidsmarteducation.com/wp-content/uploads/2016/12/ANSWER-SHEET-Writing-Linear-Equations-ANS.pdf)

- Yay Math quiz https://docs.google.com/forms/d/e/1FAIpQLSeuenOhLOcS_csvIsGcUbrZClXRrISgwhdlnutq2ghGFW8Xog/viewform?c=0&w=1
- https://cdn.kutasoftware.com/Worksheets/Alg1/Writing Linear Equations.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=OHS_pI3sVKQ part 2 https://www.youtube.com/watch?v=uhCXeZZ4hUM part 3 https://www.youtube.com/watch?v=xs2w-zHRv7I)
- Take the quiz and record your score out of 5.

### 26. Word Problems: Linear Equations in Slope-Intercept Form

- Lesson – Write word problems in slope-intercept form, Read https://www.algebra-class.com/rate-of-change.html or Watch https://braingenie.ck12.org/skills/107839
- Practice – Write linear equations in slope-intercept form given a word problem https://braingenie.ck12.org/skills/105429
- Practice – Write and solve linear equations in slope-intercept form given a word problem https://braingenie.ck12.org/skills/105430
- Review – Write linear equations in slope-intercept form https://braingenie.ck12.org/units/1487/unit_quizzes/1048568
- Take the quiz and record your score out of 5.

### 27. Word Problems: Linear Equations in Standard Form

- Lesson – Write word problems in standard form https://www.algebra-class.com/word-problems.html
- Practice – Write linear equations in standard form given a word problem https://braingenie.ck12.org/skills/105444
- Practice – Write and solve linear equations in standard form given a word problem https://braingenie.ck12.org/skills/105445
- Review – Write linear equations in standard form https://braingenie.ck12.org/units/1489/unit_quizzes/1048572
- Review – Write linear equations given horizontal or vertical lines and one point https://braingenie.ck12.org/skills/105442
- Take the quiz and record your score out of 5.

### 28. Catch up and Review

- Catch up if you are behind. Review lessons and quizzes that caused you trouble.
- If you don’t need to catch up, review the section Writing Linear Equations. Here are activities you can use:

- Play Jeopardy: Linear equations in point-slope form https://jeopardylabs.com/play/64-point-slope-form-3
- Play Jeopardy: Forms of linear equations https://jeopardylabs.com/play/forms-of-linear-equations-4
- Play Jeopardy: Linear equations word problems https://jeopardylabs.com/play/writing-linear-equations-word-problems
- Take the quiz and record your score for extra credit.

## Systems of Linear Equations

### 29. Solving Systems of Linear Equations by Graphing

- Lesson – Solve systems of linear equations by graphing, Watch https://www.nagwa.com/en/lessons/473147858361/
- Lesson – Examples at https://www.nagwa.com/en/explainers/954137659057/

- https://content.nroc.org/Algebra.HTML5/U06L1T1/NROCTopicPlayer.html
- https://www.openalgebra.com/2012/11/solving-linear-systems-by-graphing.html
- Practice – Test ordered pairs as solutions to linear systems https://braingenie.ck12.org/skills/105511
- Practice – Solve systems with one solution by graphing given slope-intercept form https://braingenie.ck12.org/skills/105512

- https://cdn.kutasoftware.com/Worksheets/Alg1/Systems of Equations Graphing.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=E2Cst5tSU98 part 2 https://www.youtube.com/watch?v=QLcZXEcO0bY)
- Practice – Solve systems with one solution by graphing given standard form https://braingenie.ck12.org/skills/105513

- Slope-intercept form + standard form https://www.mathopolis.com/questions/quiz-create.php?t=skill&skillno=414
- Slope-intercept form + standard form, https://kpu.pressbooks.pub/intermediatealgebraberg/chapter/5-1-graphed-solutions/
- Take the quiz and record your score out of 5.

### 30. Solving Systems of Linear Equations by Substitution

- Lesson – Solve systems of linear equations by substitution, Watch https://www.nagwa.com/en/lessons/920165982820/
- Lesson – Examples at https://www.nagwa.com/en/explainers/263101424769/

- https://content.nroc.org/Algebra.HTML5/U06L1T2/NROCTopicPlayer.html
- https://www.openalgebra.com/2012/11/solving-linear-systems-by-substitution.html
- Practice – Solve linear systems by substitution given one variable solved for https://braingenie.ck12.org/skills/105516
- Practice – Solve linear systems by substitution given no variables solved for https://braingenie.ck12.org/skills/105517
- Practice – Solve linear systems with fractions and decimals by substitution https://braingenie.ck12.org/skills/105518

- Questions at https://kpu.pressbooks.pub/intermediatealgebraberg/chapter/5-2-substitution-solutions/
- https://cdn.kutasoftware.com/Worksheets/Alg1/Systems of Equations Substitution.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=SDLcj8eja-Q part 2 https://www.youtube.com/watch?v=lTPw-xuX1G0)
- Take the quiz and record your score out of 5.

### 31. Solving Systems of Linear Equations by Elimination

- Lesson – Solve systems of linear equations by elimination, Watch https://www.nagwa.com/en/lessons/360184246056/
- Lesson – Examples at https://www.nagwa.com/en/explainers/527185189781/

- https://content.nroc.org/Algebra.HTML5/U06L1T3/NROCTopicPlayer.html
- https://www.openalgebra.com/2012/11/solving-linear-systems-by-elimination.html
- Practice – Using addition to eliminate a variable given stacked equations https://braingenie.ck12.org/skills/105520
- Practice – Using subtraction to eliminate a variable given stacked equations https://braingenie.ck12.org/skills/105522
- Practice – Eliminating by multiplying one equation and adding given stacked equations https://braingenie.ck12.org/skills/105524
- Practice – Eliminating by multiplying both equations given stacked equations https://braingenie.ck12.org/skills/105526

- Yay Math quiz https://docs.google.com/forms/d/e/1FAIpQLSetaZEY8XUR-WYRJ_-KrAzxPOX9h1_DESIeo5X2QrpVWGqMFw/viewform
- Questions at https://kpu.pressbooks.pub/intermediatealgebraberg/chapter/5-3-addition-and-subtraction-solutions/
- https://cdn.kutasoftware.com/Worksheets/Alg1/Systems of Equations Elimination.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=Bmz4Y4-EQic part 2 https://www.youtube.com/watch?v=OZfloh0jWls part 3 https://www.youtube.com/watch?v=6ySqp0xwQOk)
- Take the quiz and record your score out of 5.

### 32. Solving Systems of Linear Equations Using Any Method

- Practice (Review) – Solve systems of linear equations by graphing https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:introduction-to-systems-of-equations/e/graphing_systems_of_equations
- Practice (Review)- Solve systems of linear equations by substitution https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:solving-systems-of-equations-with-substitution/e/systems_of_equations_with_substitution
- Practice (Review)- Solve systems of linear equations by elimination https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:solving-systems-elimination/e/systems_of_equations_with_elimination
- Practice (Review)– Solve systems of linear equations using any method https://mathbitsnotebook.com/Algebra1/Systems/SYAlgebraPractice.html
- Take the quiz and record your score out of 5.

- https://cdn.effortlessmath.com/wp-content/uploads/2019/09/Systems-of-Equations.pdf
- http://content.apex-math.com/prealgebra/Unit10_Systems_of_Equations/Systems_of_Equations7.html

### 33. Number of Solutions to Systems of Linear Equations

- Lesson – Number of solutions to systems of linear equations https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:number-of-solutions-to-systems-of-equations/a/number-of-solutions-to-system-of-equations-review
- Practice – Find the number of solutions to a system of equations graphically https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:number-of-solutions-to-systems-of-equations/e/graphical-solutions-to-systems
- Practice – Find the number of solutions to a system of equations algebraically https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations/x2f8bb11595b61c86:number-of-solutions-to-systems-of-equations/e/constructing-consistent-and-inconsistent-system
- Practice – Solve systems of linear equation using multiple methods https://www.kidsmarteducation.com/wp-content/uploads/2019/01/A0509-Solve-Using-Multiple-Methods.pdf (Solution https://www.kidsmarteducation.com/wp-content/uploads/2019/01/ZA0509-Solve-Using-Multiple-Methods-ANS.pdf)
- Take the quiz and record your score out of 5.

### 34. Word Problems: Systems of Linear Equations (Number/Age/Coin/Money Problems)

- Lesson – Basic problems, Watch https://www.nagwa.com/en/lessons/293151279570/
- Lesson – Examples at https://www.nagwa.com/en/explainers/653198748749/

- Examples at https://www.algebra-class.com/solving-systems-of-equations.html
- Examples 1 ~ 3 at https://saylordotorg.github.io/text_elementary-algebra/s07-04-applications-of-linear-systems.html
- Practice – Number problems, Part A (odd numbers) at the bottom of the page https://saylordotorg.github.io/text_elementary-algebra/s07-04-applications-of-linear-systems.html
- Practice – Basic problems at the bottom of the page https://www.algebra-class.com/solving-systems-of-equations.html

- Age problems https://kpu.pressbooks.pub/intermediatealgebraberg/chapter/7-9-age-word-problems/
- Coin problems http://content.apex-math.com/prealgebra/Unit11_Algebraic_Word_Problems/Word_Problems6.html
- Coin problems, http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_WORD-CoinProblems.xml
- General https://cdn.effortlessmath.com/wp-content/uploads/2019/09/Systems-of-Equations-Word-Problems.pdf
- Take the quiz and record your score out of 5.

### 35. Word Problems: Systems of Linear Equations (Distance Problems)

- Lesson – Rate problems https://content.nroc.org/Algebra.HTML5/U06L2T1/NROCTopicPlayer.html
- Examples 7 ~ 8 at https://saylordotorg.github.io/text_elementary-algebra/s07-04-applications-of-linear-systems.html
- Practice – Do the Practice at https://content.nroc.org/Algebra.HTML5/U06L2T1/NROCTopicPlayer.html
- Practice – Part D (odd numbers) at the bottom of the page https://saylordotorg.github.io/text_elementary-algebra/s07-04-applications-of-linear-systems.html

- http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_WORD-DistanceRateTimeSystems.xml
- Take the quiz and record your score out of 5.

### 36. Word Problems: Systems of Linear Equations (Mixture Problems)

- Lesson – Mixture problems https://content.nroc.org/Algebra.HTML5/U06L2T2/NROCTopicPlayer.html

- https://www.wikihow.com/Solve-Mixture-Word-Problems
- Examples –Examples 5 ~ 6 at https://saylordotorg.github.io/text_elementary-algebra/s07-04-applications-of-linear-systems.html
- Practice – Do the Practice on the first link above.
- Practice – Part C (odd numbers) at https://saylordotorg.github.io/text_elementary-algebra/s07-04-applications-of-linear-systems.html

- https://cdn.kutasoftware.com/Worksheets/Alg1/Mixture Word Problems.pdf (Video solutions at https://www.youtube.com/playlist?list=PLZ1ukatRVjxfSUPt8DiYVO1I6NQmWi7Lk)
- https://www.austincc.edu/pintutor/pin_mh/_source/Handouts/Word_Problems/Mixture_Problems_with_Set_Up.pdf
- Take the quiz and record your score out of 5.

### 37. Catch up and Review

- Catch up if you are behind. Review lessons and quizzes that caused you trouble.
- If you don’t need to catch up, review the section Systems of Linear Equations. Here are activities you can use:

- Play Jeopardy: Systems of linear equations https://jeopardylabs.com/play/systems-of-linear-equations54
- https://kpu.pressbooks.pub/intermediatealgebraberg/chapter/5-7-solving-internet-game-puzzles/
- Take the quiz and record your score for extra credit.

## Linear Inequalities

### 38. Linear Inequalities in One Variable

- Lesson – Solve multi-step linear inequalities https://content.nroc.org/Algebra.HTML5/U05L1T1/NROCTopicPlayer.html

- https://www.algebra-class.com/solving-inequalities.html
- Word problems https://www.algebra-class.com/solving-word-problems-in-algebra.html
- Practice – Solve and graph two-step inequalities https://braingenie.ck12.org/skills/105476
- Practice – Solve and graph multi-step inequalities using the distributive property https://braingenie.ck12.org/skills/105478
- Practice – Solve and graph multi-step inequalities with variables on both sides https://braingenie.ck12.org/skills/105479
- Practice – Writing and solving two-step inequalities given a word problem https://braingenie.ck12.org/skills/105477

- https://cdn.effortlessmath.com/wp-content/uploads/2019/09/Multi-Step-Inequalities.pdf
- https://cdn.kutasoftware.com/Worksheets/Alg1/Multi-Step Inequalities.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=NTEYKPnh3vo part 2 https://www.youtube.com/watch?v=YiKDxSddPfA part 3 https://www.youtube.com/watch?v=N-Uvcr1mgK8)
- Take the quiz and record your score out of 5.

### 39. Compound Inequalities in One Variable

- Lesson – Solving and graphing compound inequalities, Watch https://www.nagwa.com/en/lessons/164153767323/ OR Read https://www.nagwa.com/en/lessons/164153767323/

- What is a compound inequality https://www.algebra-class.com/compound-inequality.html
- Solving “and” compound inequalities https://www.algebra-class.com/solving-compound-inequalities.html
- Solving “or” compound inequalities https://www.algebra-class.com/compound-inequalities.html
- Practice – Graphing and solving AND compound inequalities https://braingenie.ck12.org/skills/105486
- Practice – Graphing and solving OR compound inequalities https://braingenie.ck12.org/skills/105487
- Practice – Solving compound inequalities https://www.thatquiz.org/tq/practicetest?5y190p1x2kl3

- Yay Math quiz https://docs.google.com/forms/d/e/1FAIpQLSdopN5MwVPoNu7Sivq7qGSu2xfasJA-sXtZ_IbEKESWdB1Tug/viewform
- https://cdn.kutasoftware.com/Worksheets/Alg1/Compound Inequalities.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=fuyWGf0PnDQ part 2 https://www.youtube.com/watch?v=KplmXff1kKk part 3 https://www.youtube.com/watch?v=G5YOfFLZ5PQ)
- Take the quiz and record your score out of 5.

### 40. Absolute Value Inequalities in One Variable

- Review – Solving absolute value equations https://braingenie.ck12.org/skills/105492
- Lesson – Solve and graph absolute value inequalities https://content.nroc.org/Algebra.HTML5/U05L1T2/NROCTopicPlayer.html
- Practice – Solve and graph basic absolute value inequalities https://braingenie.ck12.org/skills/105496
- Practice – Solve one-step absolute value inequalities https://braingenie.ck12.org/skills/105497
- Practice – Solve complex absolute value inequalities https://braingenie.ck12.org/skills/105498

- Yay Math quiz https://docs.google.com/forms/d/e/1FAIpQLSdtx4gZ–m6CZ17_-8n1rn4jZ_qsIm0I8wuLVi1X9FfKNCn3g/viewform
- https://cdn.kutasoftware.com/Worksheets/Alg1/Absolute Value Inequalities.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=m0AukFaNy6w part 2 https://www.youtube.com/watch?v=Q75rOrXL32U part 3 https://www.youtube.com/watch?v=4QEF6A-i6gs)
- Take the quiz and record your score out of 5.

### 41. Linear Inequalities in Two Variables

- Lesson – Graph linear inequalities in two variables https://content.nroc.org/Algebra.HTML5/U05L2T1/NROCTopicPlayer.html

- https://saylordotorg.github.io/text_elementary-algebra/s06-08-linear-inequalities-two-variab.html
- https://www.algebra-class.com/graphing-inequalities.html
- Practice – Graphing linear inequalities in two variables given slope-intercept form https://braingenie.ck12.org/skills/105502
- Practice – Graphing linear inequalities in two variables given standard form https://braingenie.ck12.org/skills/105503
- Practice – Do the Practice on the first link above.
- Take the quiz and record your score out of 5.

### 42. Systems of Linear Inequalities

- Lesson – Graph systems of linear inequalities, https://content.nroc.org/Algebra.HTML5/U06L3T1/NROCTopicPlayer.html

- https://saylordotorg.github.io/text_elementary-algebra/s07-05-solving-systems-of-linear-ineq.html
- https://www.algebra-class.com/graphing-systems-of-inequalities.html
- Practice – Finding solution sets by graphing systems of linear inequalities https://braingenie.ck12.org/skills/105536
- Practice – Writing systems of linear inequalities given the graph and solution set https://braingenie.ck12.org/skills/105538
- Practice – Do the Practice on the first link above.

- Yay Math quiz https://docs.google.com/forms/d/e/1FAIpQLSdgCZFzfC9MGsxH75xra4-WPoZ76hD0BHh_1fABXCc65HTk7A/viewform
- Take the quiz and record your score out of 5.

### 43. Catch up and Review

- Catch up if you are behind. Review lessons and quizzes that caused you trouble.
- If you don’t need to catch up, review the section Linear Inequalities. Here are activities you can use:

- Play Jeopardy: Multi-step equations and inequalities https://jeopardylabs.com/play/multi-step-equations-inequalities3
- Play Jeopardy: Systems of linear inequalities https://jeopardylabs.com/play/systems-of-linear-inequalities-15
- The Cook Oil Sharing Puzzle https://kpu.pressbooks.pub/intermediatealgebraberg/chapter/4-6-the-cook-oil-sharing-puzzle/
- Take the quiz and record your score for extra credit.

## Review & PSAT Practice (no quiz)

### 44. Review: 1^{st} Quarter

- You’ve finished the first grading period. Let’s do a review.
- Do these three sets of Review exercises. Work to get a perfect score. Use the links to go over the material again if necessary.

- Review from Solving Multi-Step Equations https://content.nroc.org/Algebra.HTML5/U02L1T2/NROCTopicPlayer.html
- Review from Solving Absolute Value Equations https://content.nroc.org/Algebra.HTML5/U02L2T2/NROCTopicPlayer.html
- Review from Solving and Graphing Inequalities in One Variable https://content.nroc.org/Algebra.HTML5/U05L1T1/NROCTopicPlayer.html

### 45. Review: 1^{st} Quarter

- Do these three sets of Review exercises. Work to get a perfect score. Use the links to go over the material again if necessary.

- Review from Solving and Graphing Linear Inequalities in Two Variables https://content.nroc.org/Algebra.HTML5/U05L2T1/NROCTopicPlayer.html
- Review from Solving Systems by Substitution https://content.nroc.org/Algebra.HTML5/U06L1T2/NROCTopicPlayer.html
- Review from Solving Systems by Elimination https://content.nroc.org/Algebra.HTML5/U06L1T3/NROCTopicPlayer.html
- Time for a report card and portfolio/records updating.

- Calculate your grade for the first quarter. See your grading sheets for the details. (NOTE: I put all the calculation details in the sheets, so that the workbook and the online course can simply share the sheets. Please let me know if you update these sheets so that I can update the workbook as well.)
- In your portfolio you should include a couple of your assignments from this quarter. You could take screen shots of different quizzes/exercises. Keep any written work. Keep your papers neat.

### 46. PSAT Practice

- Introduction to PSAT from the current Algebra 1 Lesson 57
- Take a look at sample questions (just to get a feel) https://collegereadiness.collegeboard.org/sample-questions
- *Print out a bubble answer sheet. (NOTE: Attached in the email.)
- Take a timed practice test. (NOTE: I’ll send all PSAT tests once Holly finishes her review and I have worked out answers ready. Since we need to show all the questions, I think these tests should be either PDFs or wordpress pages.)

- (Directions from the workbook) This is a timed practice test. Get a timer, a bubble answer sheet, and blank sheets of paper for your calculations. When you are ready, set the timer for 25 minutes and begin. Do not use a calculator. Mark all your answers on the answer sheet. Only answers marked on the answer sheet can be scored. After the test, make sure you review what you missed.
- Check your answers. Make sure you review the problems you got wrong.

### 47. PSAT Practice

- *Print a bubble answer sheet if you don’t have one already.
- Take a timed practice test.
- Check your answers. Make sure you review the problems you got wrong.

## Functions

### 48. Relations and Functions

- *Print out your second quarter grading sheet. Save this sheet and record your scores. (NOTE: Attached in the email.)
- Lesson –https://content.nroc.org/Algebra.HTML5/U03L2T1/NROCTopicPlayer.html
- Practice – Do the Practice on the link above.
- Practice – Basic function practice https://mathbitsnotebook.com/Algebra1/Functions/FNFunctionsPractice.html
- Review – Try some distance problems at http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_WORD-DistanceRateTime.xml
- Take the quiz and record your score out of 5.

### 49. Domain and Range

- Lesson – https://content.nroc.org/Algebra.HTML5/U03L2T2/NROCTopicPlayer.html
- Practice – Do the Practice on the link above.

- Domain and range from graph https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:introduction-to-the-domain-and-range-of-a-function/e/domain_and_range_0.5
- Practice – Identify independent and dependent variables https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-equations-and-inequalities/cc-6th-dependent-independent/e/dependent-and-independent-variables

- https://www.thatquiz.org/tq/practicetest?gx3hhday6ehe (preview: https://www.thatquiz.org/tq/preview?c=uyjx4559&s=namid3)
- https://www.tutorialspoint.com/tables_graphs_functions_and_sequences/identifying_independent_and_dependent_quantities_from_tables_and_graphs_online_quiz.htm
- Practice – Domain, range, and function review https://www.thatquiz.org/tq/practicetest?sz4rmv2y69j4
- Review – Try some mixture problems at http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_WORD-Mixtures.xml
- Take the quiz and record your score out of 5.

### 50. Function Notation

- Lesson – Function notation and evaluating functions https://www.mathbootcamps.com/function-notation-and-evaluating-functions/
- Practice – Evaluate functions in function notation https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:evaluating-functions/e/functions_1

- https://www.thatquiz.org/tq/practicetest?iw553gdxbo5d
- https://cdn.effortlessmath.com/wp-content/uploads/2019/09/Function-Notation.pdf
- Practice – Find the input of a function given the output (function notation) https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:inputs-and-outputs-of-a-function/e/functions_matching_inputs_outputs
- Practice – Evaluate function expressions from graphs https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:evaluating-functions/e/functions_2

- From graphs and tables https://www.thatquiz.org/tq/practicetest?10z9ofqowk1sg
- Practice – Find the input of a function given the output from graphs https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:inputs-and-outputs-of-a-function/e/match-inputs-to-outputs-from-a-graph
- Take the quiz and record your score out of 5.

WORKBOOK https://www.napls.us/cms/lib/OH01914683/Centricity/Domain/918/Functions Study Guide – Answers.pdf

### 51. Linear Functions

- Lesson – Identifying linear functions, https://www.nagwa.com/en/explainers/914165148737/
- Practice – Identify linear relationships https://www.thatquiz.org/tq/practicetest?rwb40fnz1fbbu
- Lesson – Writing rules for functions from tables https://www.nagwa.com/en/videos/414176574892/
- Practice – Write rules for linear functions given the table https://braingenie.ck12.org/skills/105216

- https://www.thatquiz.org/tq/practicetest?jy4cg1rz17b7g
- Practice – Write rules for linear functions given the graph https://braingenie.ck12.org/skills/105223
- Review – Write linear functions from word problems https://braingenie.ck12.org/skills/105217
- Take the quiz and record your score out of 5.

### 52. Linear, Exponential, and Quadratic Functions

- Lesson – Graphs of linear, exponential, and quadratic functions https://virtualnerd.com/algebra-1/quadratic-equations-functions/linear-exponential-comparison/linear-exponential-comparison-graphing-examples/determine-function-type-from-graph
- Reference – Play with quadratic functions https://www.desmos.com/calculator/zuaqvcvpbz and exponential functions https://www.desmos.com/calculator/3fisjexbvp
- Practice – Identifying the correct type of function by analyzing the graph https://braingenie.ck12.org/skills/107161

- https://www.mathopolis.com/questions/quiz-create.php?t=skill&skillno=501
- Lesson – Comparing linear, exponential, and quadratic functions https://www.youtube.com/watch?v=9Bu0Hkxw88g
- Practice – identifying the correct type of function by graphing a set of ordered pairs https://braingenie.ck12.org/skills/107162
- Practice – Identifying the correct type of function by analyzing patterns in a table of values https://braingenie.ck12.org/skills/107163

- https://www.thatquiz.org/tq/practicetest?jz7br36y1mtk
- Take the quiz and record your score out of 5.

### 53. Average Rate of Change of Functions

- Lesson – Average rate of change https://mathbitsnotebook.com/Algebra1/FunctionGraphs/FNGAverageRAteChange.html

- Practice – Average rate of change from tables & graphs https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:average-rate-of-change/e/avg-rate-of-change-graphs-tables
- Practice – Average rate of change word problems (from function equations) https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:average-rate-of-change-word-problems/e/average-rate-of-change-word-problems
- Practice – Average rate of change https://mathbitsnotebook.com/Algebra1/FunctionGraphs/FNGAverageRateChangePractice.html
- Take the quiz and record your score out of 5.

### 54. Inverse of Linear Functions

- Lesson – Introduction to inverse functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:inverse-functions-intro/a/intro-to-inverse-functions
- Lesson – Graphing the inverse of a linear function https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:inverse-functions-intro/v/understanding-function-inverses-example
- Practice – Evaluate inverse functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:inverse-functions-intro/e/understanding-inverse-functions
- Lesson – Finding inverse of linear functions algebraically, https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:inverse-functions-intro/v/function-inverse-example-1

- https://www.chilimath.com/lessons/advanced-algebra/inverse-of-linear-function/
- https://www.nagwa.com/en/videos/793190238040/

- Practice – Find inverses of linear functions algebraically https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:functions/x2f8bb11595b61c86:inverse-functions-intro/e/algebraically-finding-inverses
- Practice – Find inverses of linear functions algebraically, Odd numbers at http://images.pcmac.org/SiSFiles/Schools/TN/HamiltonCounty/EastHamiltonMiddleHigh/Uploads/Forms/Inverses_of_Linear_Functions_WS.pdf
- Take the quiz and record your score out of 5.

### 55. Catch up and Review

- Catch up if you are behind. Review lessons and quizzes that caused you trouble.
- If you don’t need to catch up, review the section Functions. Here are activities you can use:

- Play Jeopardy: Function notation and evaluation https://jeopardylabs.com/play/47-function-notation-5
- Play Jeopardy: Linear and non-linear functions https://jeopardylabs.com/play/linear-functions-linear-functions-12
- Play Jeopardy: Functions and word problems https://jeopardylabs.com/play/functions-and-word-problems
- Take the quiz and record your score for extra credit.

## Variation and Sequences

### 56. Direct Variation

- Lesson – Direct variation http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_LinearEqDirectVariation.xml
- Practice – Identifying direct variation given equations https://braingenie.ck12.org/skills/107190
- Practice – Writing direct variation equations given one point https://braingenie.ck12.org/skills/107192
- Practice – Write direct variation equations http://www.algebralab.org/practice/practice.aspx?file=Algebra_DirectVariation.xml
- Practice – Solve word problems involving direct variation, Examples 8.9.1 through 8.9.12 at https://math.libretexts.org/Bookshelves/Algebra/Book%3A_Elementary_Algebra_(OpenStax)/08%3A_Rational_Expressions_and_Equations/8.09%3A_Use_Direct_and_Inverse_Variation

- (too simple) https://braingenie.ck12.org/skills/107193
- https://www.mesacc.edu/~scotz47781/mat120/notes/variation/direct/direct_practice.html
- Take the quiz and record your score out of 5.

### 57. Inverse Variation

- Lesson – Inverse variation http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_conics_inverse.xml
- Practice – Identifying inverse variation given equations https://braingenie.ck12.org/skills/107195
- Practice – Writing inverse variation equations given one point https://braingenie.ck12.org/skills/107198
- Practice – Writing inverse variation equations, problems 1 ~ 8 at http://www.algebralab.org/practice/practice.aspx?file=Algebra_InverseVariation.xml
- Practice – Word problems involving inverse variation, Examples 8.9.13 through 8.9.21 at https://math.libretexts.org/Bookshelves/Algebra/Book%3A_Elementary_Algebra_(OpenStax)/08%3A_Rational_Expressions_and_Equations/8.09%3A_Use_Direct_and_Inverse_Variation
- Take the quiz and record your score out of 5.

### 58. Arithmetic Sequences and Explicit Formulas

- Lesson – Arithmetic sequences https://www.coolmath.com/algebra/19-sequences-series/05-arithmetic-sequences-01
- Practice – Determining if a sequence is arithmetic https://braingenie.ck12.org/skills/107012
- Practice – Writing a rule given the arithmetic sequence https://braingenie.ck12.org/skills/107013
- Practice – Arithmetic sequence https://www.thatquiz.org/tq/practicetest?jxh1pqtx11fk3 (preview https://www.thatquiz.org/tq/preview?c=lk6uxywt&s=qlso7p)
- Challenge – Writing a rule given two terms https://braingenie.ck12.org/skills/107015
- Take the quiz and record your score out of 5.

### 59. Geometric Sequences and Explicit Formulas

- Lesson – Geometric sequences https://www.coolmath.com/algebra/19-sequences-series/07-geometic-sequences-01
- Practice – Classify as arithmetic or geometric https://www.thatquiz.org/tq/practicetest?jwh1tfdx13rs2 (Preview https://www.thatquiz.org/tq/preview?c=9914zth8&s=qkvdc7)

- Determining if a sequence is geometric https://braingenie.ck12.org/skills/107018

- Practice – Writing a rule given the geometric sequence https://braingenie.ck12.org/skills/107019
- Practice – Geometric sequence https://www.thatquiz.org/tq/practicetest?jzh4eegw75r1 (Preview https://www.thatquiz.org/tq/preview?c=nj6xfhnj&s=qlsnxn )
- Challenge – Writing a rule given two terms https://braingenie.ck12.org/skills/107021
- Take the quiz and record your score out of 5.

### 60. Recursive Formulas for Sequences

- Review – Explicit formulas for sequences https://mathbitsnotebook.com/Algebra1/Functions/FNSequenceFunctions.html
- Lesson – Recursive formulas https://mathbitsnotebook.com/Algebra1/Functions/FNSequenceFunctionsRecursive.html
- Practice – Explicit and recursive formulas https://mathbitsnotebook.com/Algebra1/Functions/FNSequencesExplicitRecursivePractice.html
- Practice – Write sequence formulas https://www.mathopolis.com/questions/quiz-create.php?t=skill&skillno=1137

- Arithmetic sequences https://cdn.kutasoftware.com/Worksheets/Alg2/Arithmetic Sequences.pdf
- Geometric sequences https://cdn.kutasoftware.com/Worksheets/Alg2/Geometric Sequences.pdf

- Take the quiz and record your score out of 5.

### 61. Word Problems: Sequences

- Lesson – Sequence word problems https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:sequences/x2f8bb11595b61c86:modeling-with-sequences/v/modeling-situations-with-arithmetic-and-geometric-sequences
- Practice – Sequence word problems https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:sequences/x2f8bb11595b61c86:modeling-with-sequences/e/recursive_explicit
- Practice – Sequence word problems https://mathbitsnotebook.com/Algebra1/Functions/FNSequencesWordPractice.html

- Arithmetic sequence word problems https://www.onlinemath4all.com/arithmetic-sequence-word-problems-worksheet.html

- Take the quiz and record your score out of 5.

### 62. Catch up and Review

- Catch up if you are behind. Review lessons and quizzes that caused you trouble.
- If you don’t need to catch up, review the sections Variation and Sequences. Here are activities you can use:

- Play Jeopardy: Direct and inverse variation https://jeopardylabs.com/play/direct-and-inverse-variation-14
- Play Jeopardy: Arithmetic and geometric sequences https://jeopardylabs.com/play/geometric-arithmetic-sequences-2
- Take the quiz and record your score for extra credit.

## Radicals

### 63. Radicals (square roots, cube roots, nth roots)

- Lesson – square roots, cube roots, nth roots, Examples 1 ~ 7 at https://saylordotorg.github.io/text_elementary-algebra/s11-01-radicals.html
- Practice – Find square roots https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:radicals/e/square_roots

- http://www.algebralab.org/practice/practice.aspx?file=Algebra_AdamsRationalRoots1.xml
- Practice – Find square roots of decimals and fractions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:radicals/e/roots-of-decimals-and-fractions
- Practice – Find cube roots https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:radicals/e/cube_roots
- Practice – Find higher order roots, problems at https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:radicals/a/higher-order-roots (Click green dots and work on all 9 problems)

- http://www.algebralab.org/practice/practice.aspx?file=Algebra_AdamsRationalRoots2.xml
- Take the quiz and record your score out of 5.

### 64. Simplifying Radicals (primarily square roots + some cube roots)

- Lesson – Simplifying radicals https://mathbitsnotebook.com/Algebra1/Radicals/RADSimplifyingRadicals.html
- Lesson – Simplifying radicals (another method using prime factorization) https://www.softschools.com/math/algebra/topics/simplifying_radical_expressions/
- Practice – Simplify radicals using the product property https://www.thatquiz.org/tq/practicetest?cz7sf1dx5ntj

- Simplify radicals using the product property https://braingenie.ck12.org/skills/107172
- Yay Math quiz https://docs.google.com/forms/d/e/1FAIpQLScInUlchRtogdE7xgteKbijL2A8h-To-oQg30ZGcY3xSGOMsg/viewform
- Practice – Simplify radicals using the quotient property https://braingenie.ck12.org/skills/107173

- http://www.algebralab.org/practice/practice.aspx?file=Algebra1_13-2.xml
- Take the quiz and record your score out of 5.

### 65. Simplifying Radicals with Variables (primarily square roots + some cube roots)

- Lesson – Simplify radicals with variables https://content.nroc.org/Algebra.HTML5/U07L3T1/NROCTopicPlayer.html
- More examples – https://mathbitsnotebook.com/Algebra1/Radicals/RADSimplifyingRadicalsAlgebraic.html
- Practice – Do the Practice on the first link above
- Practice – Simplify radicals https://mathbitsnotebook.com/Algebra1/Radicals/RADSimpPractice.html

- Simplify square roots with variables, https://cdn.kutasoftware.com/Worksheets/Alg1/Simplifying Radicals.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=6vMIcDT8gQ8 part 2 https://www.youtube.com/watch?v=DBlkz9y9GzM part 3 https://www.youtube.com/watch?v=EzkUH8q5nvg)
- Simplify square roots with variables, http://content.apex-math.com/prealgebra/Unit7_Radicals/Radicals3.html
- Take the quiz and record your score out of 5.

### 66. Adding and Subtracting Radicals (without variables)

- Lesson – Add and subtract radicals, https://mathbitsnotebook.com/Algebra1/Radicals/RADAddSubtract.html
- Practice – Add and subtract radicals https://braingenie.ck12.org/skills/107175
- Practice – Add and subtract radicals, Odd numbers at https://cdn.kutasoftware.com/Worksheets/Alg1/Adding and Subtracting Radical Expressions.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=2C-6RGlSfAQ part 2 https://www.youtube.com/watch?v=Jy4P-RukjUo&t=1s part 3 https://www.youtube.com/watch?v=b-ny6Q6Oys0)
- Take the quiz and record your score out of 5.

### 67. Multiplying and Dividing Radicals (with/without variables)

- Lesson – Multiplying and dividing radicals, https://mathbitsnotebook.com/Algebra1/Radicals/RADMultDivide.html (Skip Example 5 & 6)
- Practice – Multiplying radicals, Questions 1 ~ 14 at https://cdn.kutasoftware.com/Worksheets/Alg1/Multiplying Radical Expressions.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=5rFQnhwMjOQ part 2 https://www.youtube.com/watch?v=2W-9PUwztN0 part 3 https://www.youtube.com/watch?v=iFJMeG8DqP8)

- https://www.thatquiz.org/tq/practicetest?3z8u5aiyor78
- Lesson – Removing radicals from the denominator https://www.softschools.com/math/algebra/topics/removing_radicals_from_the_denominator/
- Practice – Rationalizing the denominator https://braingenie.ck12.org/skills/107174
- Practice – Dividing radicals, Questions 1 ~ 10 at https://cdn.kutasoftware.com/Worksheets/Alg1/Dividing Radical Expressions.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=d-LWA9OKbho part 2 https://www.youtube.com/watch?v=eTbRRWqzeJ8 part 3 https://www.youtube.com/watch?v=JtE_cJkanP0)
- Take the quiz and record your score out of 5.

### 68. Solving Radical Equations (primarily square roots + some cube roots)

- Lesson – Solve radical equations, https://content.nroc.org/Algebra.HTML5/U07L3T2/NROCTopicPlayer.html
- More examples – https://saylordotorg.github.io/text_elementary-algebra/s11-06-solving-radical-equations.html
- Practice – Do the Practice on the link above.
- Practice – Solve radical equations with a radical on one side https://braingenie.ck12.org/skills/107178
- Practice – Solve radical equations with radicals on both sides https://braingenie.ck12.org/skills/107179

- Yay Math quiz https://docs.google.com/forms/d/e/1FAIpQLSfmN-hjRjICDUjoZPestfsdXcZwipHgIFvg1BykBNqT4ICZgQ/viewform
- https://cdn.kutasoftware.com/Worksheets/Alg1/Radical Equations 1.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=TJct6AGxVTI part 2 https://www.youtube.com/watch?v=E-XG7aJEgHs part 3 https://www.youtube.com/watch?v=59fO2FnRWHk)
- Take the quiz and record your score out of 5.

### 69. Word Problems: Radicals and Radical Equations (Pythagorean Theorem + given formulas)

- Lesson – Applications of radicals https://content.nroc.org/Algebra.HTML5/U07L2T1/NROCTopicPlayer.html
- Practice – Do the Practice on the link above.
- Practice – Use the Pythagorean theorem to find unknown lengths https://braingenie.ck12.org/skills/107182
- Lesson – Applications of radical equations https://content.nroc.org/Algebra.HTML5/U07L3T3/NROCTopicPlayer.html
- Practice – Do the Practice on the link above.
- Take the quiz and record your score out of 5.

### 70. Catch up and Review

- Catch up if you are behind. Review lessons and quizzes that caused you trouble.
- If you don’t need to catch up, review the section Radicals. Here are activities you can use:

- Play Jeopardy: Simplifying radicals https://jeopardylabs.com/play/simplifying-radicals11
- Play Jeopardy: Operations on radicals https://jeopardylabs.com/play/operations-on-radicals-3
- Play Jeopardy: Review of radicals https://jeopardylabs.com/play/radical-414
- Tutoring Session: Using radical expressions https://content.nroc.org/Algebra.HTML5/U07SIM/index.html
- Take the quiz and record your score for extra credit.

## Exponents

### 71. Exponent Rules: Zero and Negative Exponents

- Lesson – Zero and negative exponents https://www.katesmathlessons.com/zero-and-negative-exponents.html
- Lesson – Evaluate exponential expressions using the zero and negative exponent rules https://braingenie.ck12.org/skills/107901
- Practice – Evaluate exponential expressions involving the zero exponent rule https://braingenie.ck12.org/skills/105551
- Practice – Evaluate exponential expressions involving the negative exponent rule https://braingenie.ck12.org/skills/105552
- Practice – Evaluate negative exponents (with variables) https://www.thatquiz.org/tq/practicetest?szai4vkw1q6dk (Preview https://www.thatquiz.org/tq/preview?c=ei9ezclz&s=oz07wa )
- Take the quiz and record your score out of 5.

### 72. Exponent Rules: Product and Quotient Rules

- Lesson – Multiplying and dividing powers https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:exponent-properties-review/v/multiplying-and-dividing-powers-with-integer-exponents
- Practice – Multiplying powers https://braingenie.ck12.org/skills/105540
- Practice – Dividing powers https://braingenie.ck12.org/skills/105545
- Practice – Product/Quotient Rules, Problems 1 ~ 10 and 21 ~ 30 at https://cdn.kutasoftware.com/Worksheets/Alg1/Properties of Exponents.pdf (Video solutions Part 1 https://www.youtube.com/watch?v=MFf7Vnc77q4 Part 2 https://www.youtube.com/watch?v=wfNJ_Rhq4ls Part 3 https://www.youtube.com/watch?v=FBPw8ELW1Jw )
- Take the quiz and record your score out of 5.

### 73. Exponent Rules: Power Rules

- Lesson – Powers of products and quotients https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:exponent-properties-review/v/powers-of-products-and-quotients-integer-exponents
- Practice – Power of products https://braingenie.ck12.org/skills/105543
- Practice – Power of quotients https://braingenie.ck12.org/skills/105547
- Practice – Power rules, Problems 11 ~ 20 at https://cdn.kutasoftware.com/Worksheets/Alg1/Properties of Exponents.pdf (Video solutions Part 1 https://www.youtube.com/watch?v=MFf7Vnc77q4 Part 2 https://www.youtube.com/watch?v=wfNJ_Rhq4ls Part 3 https://www.youtube.com/watch?v=FBPw8ELW1Jw )
- Challenge – Properties of exponents https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:exponent-properties-review/e/properties-of-integer-exponents

- https://cdn.effortlessmath.com/wp-content/uploads/2019/09/Powers-of-Products-and-Quotients.pdf
- Take the quiz and record your score out of 5.

### 74. Simplifying Integer Exponents

- Review – Exponents rules https://mathbitsnotebook.com/Algebra1/Exponents/EXRulesQuickView.html
- Review – Examples at https://mathbitsnotebook.com/Algebra1/Exponents/EXRules.html
- Practice – Simplify algebraic expressions with exponents, all problems at https://cdn.kutasoftware.com/Worksheets/Alg1/More Properties of Exponents.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=x4A_K5BbodY part 2 https://www.youtube.com/watch?v=YV_sJHgRSqM part 3 https://www.youtube.com/watch?v=-k_7EkbpVTc)

- https://www.mathopolis.com/questions/quiz-create.php?t=skill&skillno=455
- Take the quiz and record your score out of 5.

### 75. Scientific Notation

- Lesson – Introducing scientific notation https://www.algebra-class.com/scientific-notation.html
- Practice – Converting, https://www.thatquiz.org/tq/practicetest?12w86jj9xh86u

- http://www.algebralab.org/practice/practice.aspx?file=Algebra1_8-4.xml
- https://cdn.effortlessmath.com/wp-content/uploads/2019/09/Scientific-Notation.pdf
- Writing and converting scientific notation https://cdn.kutasoftware.com/Worksheets/Alg1/Writing Scientific Notation.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=9Nk4v3FHcxI part 2 https://www.youtube.com/watch?v=Z4F6b9a2sHg)
- Lesson – Multiply and divide with scientific notation https://www.algebra-class.com/scientific-notation-practice.html
- Practice – Multiplying and dividing, https://www.mathopolis.com/questions/quiz-create.php?t=skill&skillno=514

- https://www.thatquiz.org/tq/practicetest?px7ciiow5ps8
- http://www.algebralab.org/practice/practice.aspx?file=Algebra_MultiplyingDividingScientificNotationNumbers.xml
- Yay Math quiz https://docs.google.com/forms/d/e/1FAIpQLSc0WCOJ6rFY0uy2FtaeTwrGnYreMctWdbl-rCCfmuvHB97s7A/viewform
- Operations with scientific notation https://cdn.kutasoftware.com/Worksheets/Alg1/Operations Scientific Notation.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=b93mtrSBD5A part 2 https://www.youtube.com/watch?v=9H8pb7dIgqI part 3 https://www.youtube.com/watch?v=rxNRaUn7wkc)
- Reference – Real life examples of scientific notation https://examples.yourdictionary.com/scientific-notation-examples.html
- Take the quiz and record your score out of 5.

### 76. Rational Exponents

- Lesson – Fractional exponents, https://www.mathsisfun.com/algebra/exponent-fractional.html
- Practice – Odd numbers at https://cdn.kutasoftware.com/Worksheets/Alg2/Radicals and Rational Exponents.pdf (Video solutions not available)
- Practice – Evaluate numerical expressions with fractional exponents, https://www.mathopolis.com/questions/quiz-create.php?t=skill&skillno=621
- Take the quiz and record your score out of 5.

### 77. Simplifying Rational Exponents (positive rational exponents)

- Lesson – Simplify expressions with rational exponents, Examples 9 ~ 12 at https://saylordotorg.github.io/text_elementary-algebra/s11-05-rational-exponents.html
- Practice – Simplify expressions with rational exponents, Part B (odd numbers) at the bottom of the page above.

- https://www.mathopolis.com/questions/quiz-create.php?t=skill&skillno=617
- (some are negative rational exponents, too early to practice) https://cdn.kutasoftware.com/Worksheets/Alg2/Simplifying Rational Exponents.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=dwRd0XLV2zo&t=245s part 2 https://www.youtube.com/watch?v=wN6GAIc4XqI part 3 https://www.youtube.com/watch?v=MyBvSZKPm24)
- Lesson – Simplifying radical expressions using rational exponents, Examples 14 ~ 16 at https://saylordotorg.github.io/text_elementary-algebra/s11-05-rational-exponents.html
- Practice – Simplifying radical expressions using rational exponents, Part C (odd numbers) at the bottom of the page above.
- Take the quiz and record your score out of 5.

### 78. Exponential Growth and Decay

- Lesson – Exponential growth functions https://www.ck12.org/book/ck-12-algebra-basic/section/8.5/
- Lesson – Exponential decay functions https://www.ck12.org/book/ck-12-algebra-basic/section/8.6/

- https://www.mathsisfun.com/algebra/exponential-growth.html
- Practice – Identifying exponential growth and decay https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:exponential-growth-decay/x2f8bb11595b61c86:exponential-decay/e/exponential-growth-vs-decay
- Practice – Graphing exponential growth and decay https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:exponential-growth-decay/x2f8bb11595b61c86:exponential-decay/e/graphs-of-basic-exponential-functions
- Practice – Writing functions with exponential growth (word problem) https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:exponential-growth-decay/x2f8bb11595b61c86:exponential-expressions/e/exponential-expressions-word-problems-algebraic
- Practice – Writing functions with exponential decay (word problem) https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:exponential-growth-decay/x2f8bb11595b61c86:exponential-decay/e/writing-functions-with-exponential-decay
- Take the quiz and record your score out of 5.

### 79. Catch up and Review

- Catch up if you are behind. Review lessons and quizzes that caused you trouble.
- If you don’t need to catch up, review the section Exponents. Here are activities you can use:

- Play Jeopardy: Exponent rules https://jeopardylabs.com/play/exponent-rules-151
- Play Jeopardy: Scientific notation https://jeopardylabs.com/play/scientific-notation-507
- Radical Pattern Puzzle https://kpu.pressbooks.pub/intermediatealgebraberg/chapter/9-11-radical-pattern-puzzle/
- Take the quiz and record your score for extra credit.

## Polynomials

### 80. Adding and Subtracting Polynomials

- Lesson – Introduction to polynomials, Read https://www.mathsisfun.com/algebra/polynomials.html or Watch https://virtualnerd.com/algebra-2/polynomials/operations/simplifying-expressions/polynomial-definition

- https://mathbitsnotebook.com/Algebra1/Polynomials/POpolys.html
- Practice – Introduction to polynomials https://mathbitsnotebook.com/Algebra1/Polynomials/POBasicsPractice.html
- Lesson – Add and subtract polynomials https://www.mathsisfun.com/algebra/polynomials-adding-subtracting.html

- https://mathbitsnotebook.com/Algebra1/Polynomials/POaddsubtract.html
- https://content.nroc.org/Algebra.HTML5/U08L2T2/NROCTopicPlayer.html
- Practice – Add and subtract polynomials https://mathbitsnotebook.com/Algebra1/Polynomials/POAddPractice.html

- https://cdn.effortlessmath.com/wp-content/uploads/2019/09/Adding-and-Subtracting-Polynomials.pdf
- https://cdn.kutasoftware.com/Worksheets/Alg1/Adding and Subtracting Polynomials.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=ce7ijl8HMNo part 2 https://www.youtube.com/watch?v=xin2iYnZb4k part 3 https://www.youtube.com/watch?v=y0iyfz4vZpc)
- Take the quiz and record your score out of 5.

### 81. Multiplying Monomials and Binomials

- Lesson – Multiply polynomials by monomials https://www.algebra-class.com/multiplying-polynomials.html

- https://mathbitsnotebook.com/Algebra1/Polynomials/POmultiply.html
- https://cdn.effortlessmath.com/wp-content/uploads/2019/09/Multiplying-a-Polynomial-and-a-Monomial.pdf
- Practice – Multiply polynomials by monomials https://mathbitsnotebook.com/Algebra1/Polynomials/POMultMonPractice.html

- https://cdn.effortlessmath.com/wp-content/uploads/2019/09/Multiplying-a-Polynomial-and-a-Monomial.pdf
- Lesson – Multiply binomials by binomials, Read https://www.algebra-class.com/foil-method.html or Watch https://www.youtube.com/watch?v=W-X4SSeIjsY

- https://mathbitsnotebook.com/Algebra1/Polynomials/PObinomial.html
- Practice – Multiplying binomials https://braingenie.ck12.org/skills/107086
- Practice – Multiply binomials by binomials https://mathbitsnotebook.com/Algebra1/Polynomials/POMultBinPractice.html

- https://www.thatquiz.org/tq/practicetest?cybibpswnser
- Take the quiz and record your score out of 5.

### 82. Multiplying Polynomials

- Lesson – Multiply polynomials, Read https://www.mathsisfun.com/algebra/polynomials-multiplying.html or Watch https://www.youtube.com/watch?v=ANi2DvE8TGc
- Reference – Multiply polynomials (different methods – vertical, table) https://mathbitsnotebook.com/Algebra1/Polynomials/POpolynomial.html
- Practice – Multiply polynomials https://braingenie.ck12.org/skills/107088
- Practice – Multiply polynomials https://mathbitsnotebook.com/Algebra1/Polynomials/POMultPolyPractice.html

- Multiplying polynomials, https://cdn.kutasoftware.com/Worksheets/Alg1/Multiplying Polynomials.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=8pECyJg-WEw part 2 https://www.youtube.com/watch?v=7Fs9O-hnR0E part 3 https://www.youtube.com/watch?v=OFdS4fQdraY)
- Lesson – Multiplying monomials by polynomials (area model) https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-arithmetic/x2ec2f6f830c9fb89:mono-by-poly/v/area-model-of-monomial-polynomial-multiplication
- Practice – Multiplying monomials by polynomials (area model) https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-arithmetic/x2ec2f6f830c9fb89:mono-by-poly/e/multiply-monomials-by-polynomials-intuition
- Practice – Multiplying binomials by polynomials (area model) https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:poly-arithmetic/x2ec2f6f830c9fb89:bi-by-poly/e/bi-by-poly-area
- Take the quiz and record your score out of 5.

### 83. Special Products of Binomials

- Lesson – Special binomial products https://www.mathsisfun.com/algebra/special-binomial-products.html
- Practice – Square of a binomial (Perfect square trinomials, sum) https://braingenie.ck12.org/skills/107092
- Practice – Square of a binomial (Perfect square trinomials, difference) https://braingenie.ck12.org/skills/107093
- Practice – Difference of squares https://braingenie.ck12.org/skills/107094
- Practice – Difference of squares, mental math https://braingenie.ck12.org/skills/107095
- Take the quiz and record your score out of 5.

### 84. Multiplying Binomials and Special Products

- Review – Multiplying binomials https://www.algebra-class.com/foil-method.html
- Review – Special binomial products (Examples 1 ~ 4) https://mathbitsnotebook.com/Algebra1/Polynomials/PObispecial.html
- Practice – Multiplying binomials https://www.thatquiz.org/tq/practicetest?cybibpswnser
- Practice – Special binomial products, Odd numbers at https://cdn.kutasoftware.com/Worksheets/Alg1/Multiplying Special Cases.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=sM3dfBznDPY part 2 https://www.youtube.com/watch?v=QOpIvu51zHI)
- Take the quiz and record your score out of 5.

### 85. Dividing Polynomials (no remainder)

- Lesson – Divide polynomials by monomials, Watch https://www.youtube.com/watch?v=qnMEcCOYcpo or Read https://www.mathsisfun.com/algebra/polynomials-dividing.html

- https://www.softschools.com/math/algebra/topics/dividing_polynomials_by_monomials/
- Lesson – Divide polynomials using long division (no remainder), Watch https://www.nagwa.com/en/videos/696142989425/ or Read https://www.softschools.com/math/algebra/topics/dividing_polynomials_by_binomials/
- Practice – Divide polynomials by monomials https://braingenie.ck12.org/skills/107209

- http://mathbitsnotebook.com/Algebra1/Polynomials/PODivPolyPractice.html
- Practice – Divide polynomials using long division (no remainder) https://braingenie.ck12.org/skills/107210
- Challenge – Dividing polynomials using long division (higher order polynomials, no remainder), Click “Practice” https://www.nagwa.com/en/worksheets/192154072913/
- Take the quiz and record your score out of 5.

### 86. Dividing Polynomials (remainder)

- Review + Lesson – Divide polynomials using long division (with/without a remainder), Watch https://www.youtube.com/watch?v=brpNxPAkv1c or Read https://www.mathsisfun.com/algebra/polynomials-division-long.html
- Practice – Divide polynomials using long division (remainder) https://braingenie.ck12.org/skills/107211
- Practice – Dividing polynomials (remainder), Odd numbers at https://cdn.kutasoftware.com/Worksheets/Alg1/Dividing Polynomials.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=OeoZLtSQnzs part 2 https://www.youtube.com/watch?v=3LeYp8Yy-MM part 3 https://www.youtube.com/watch?v=KEAVSqYkzFg)

- https://www.mathopolis.com/questions/quiz-create.php?t=skill&skillno=457
- Take the quiz and record your score out of 5.

### 87. Catch up and Review

- Catch up if you are behind. Review lessons and quizzes that caused you trouble.
- If you don’t need to catch up, review the section Polynomials. Here are activities you can use:

- Play Jeopardy: Multiplying binomials https://jeopardylabs.com/play/multiplying-binomials-10
- Play Jeopardy: Multiplying and dividing polynomials https://jeopardylabs.com/play/multiplying-and-dividing-polynomials-5
- Take the quiz and record your score for extra credit.

## Review & PSAT Practice (no quiz)

### 88. Review: 1^{st} Quarter

- You’ve finished the second grading period. Let’s do a review.
- Do these three sets of Review exercises. Work to get a perfect score. Use the links to go over the material again if necessary.

- Review from Solving and Graphing Absolute Value Inequalities https://content.nroc.org/Algebra.HTML5/U05L1T2/NROCTopicPlayer.html
- Review from Point Slope Form and Standard Form of Linear Equations https://content.nroc.org/Algebra.HTML5/U04L1T4/NROCTopicPlayer.html
- Review from Rate Problems https://content.nroc.org/Algebra.HTML5/U06L2T1/NROCTopicPlayer.html

### 89. Review: 2^{nd} Quarter

- Review from Representing Functions and Relations https://content.nroc.org/Algebra.HTML5/U03L2T1/NROCTopicPlayer.html
- Review from Linear Functions https://content.nroc.org/Algebra.HTML5/U03L2T4/NROCTopicPlayer.html
- Review from Inductive Patterns https://content.nroc.org/Algebra.HTML5/U03L1T1/NROCTopicPlayer.html

### 90. Review: 2^{nd} Quarter

- Review from Simplifying Radical Expressions https://content.nroc.org/Algebra.HTML5/U07L3T1/NROCTopicPlayer.html
- Review from Simplifying Expressions with Exponents https://content.nroc.org/Algebra.HTML5/U07L1T3/NROCTopicPlayer.html
- Review from Multiplying Polynomials https://content.nroc.org/Algebra.HTML5/U08L2T3/NROCTopicPlayer.html
- Time for a report card and portfolio/records updating.

- Calculate your grade for the second quarter. See your grading sheets for the details.
- In your portfolio you should include a couple of your assignments from this quarter. You could take screen shots of different quizzes/exercises. Keep any written work. Keep your papers neat.

### 91. PSAT Practice

- *Print a bubble answer sheet if you don’t have one already.
- Take a timed practice test.
- Check your answers. Make sure you review the problems you got wrong.

### 92. PSAT Practice

- *Print a bubble answer sheet if you don’t have one already.
- Take a timed practice test.
- Check your answers. Make sure you review the problems you got wrong.

## Factoring Polynomials

### 93. Factoring Polynomials Using the GCF

- *Print out your third quarter grading sheet. Save this sheet and record your scores. (NOTE: Attached in the email.)
- Lesson – Factoring polynomials using the GCF, https://content.nroc.org/Algebra.HTML5/U09L1T1/NROCTopicPlayer.html

- https://www.algebra-class.com/factoring-polynomials.html
- https://virtualnerd.com/act-math/algebra/factoring/greatest-common-factor-example
- Examples – Examples 1 ~ 11 at https://saylordotorg.github.io/text_elementary-algebra/s09-01-introduction-to-factoring.html

- https://www.softschools.com/math/algebra/topics/factoring_polynomials_common_factors/
- Practice – Do the Practice on the first link above.
- Practice – Find the GCF given a polynomial https://braingenie.ck12.org/skills/107098
- Practice – Factoring out the GCF given a polynomial https://braingenie.ck12.org/skills/107099

- https://www.thatquiz.org/tq/preview?c=mnzv19pn&s=njkqo5
- https://www.softschools.com/quizzes/algebra/factoring_polynomials_when_terms_have_a_common_factor/quiz5019.html
- Take the quiz and record your score out of 5.

### 94. Factoring Polynomials by Grouping

- Lesson – Factoring polynomials by grouping, Read https://www.algebra-class.com/factoring-in-algebra.html OR Watch https://virtualnerd.com/algebra-2/polynomials/equations/factoring-strategies/factor-by-grouping

- https://www.youtube.com/watch?v=15suKxAV1ow
- Examples – Examples 12 ~ 18 at https://saylordotorg.github.io/text_elementary-algebra/s09-01-introduction-to-factoring.html
- Practice – Factor by grouping https://braingenie.ck12.org/skills/107126
- Practice – Factor by grouping https://braingenie.ck12.org/skills/107127
- Practice – Factor by grouping https://braingenie.ck12.org/skills/107128

- https://cdn.kutasoftware.com/Worksheets/Alg1/Factoring By Grouping.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=gLabzLfPwpI part 2 https://www.youtube.com/watch?v=5TSzRSf-e7I part 3 https://www.youtube.com/watch?v=F19YQMjO8Cg)
- https://kpu.pressbooks.pub/intermediatealgebraberg/chapter/7-2-factoring-by-grouping/
- https://www.softschools.com/quizzes/algebra/factoring_polynomials_by_grouping/quiz5038.html
- Take the quiz and record your score out of 5.

### 95. Factoring Simple Quadratics (a = 1)

- Lesson – Factoring quadratics of the form x
^{2}+ bx + c, Read https://www.algebra-class.com/factoring-trinomials.html OR Follow the steps https://www.thatquiz.org/tq/practicetest?4y93jcwb80n

- https://www.youtube.com/watch?v=E8Y13L-kt10
- https://virtualnerd.com/algebra-2/quadratics/solve-equations-by-factoring/factoring-strategies/trinomial-factorization-example
- https://www.softschools.com/math/algebra/topics/factoring_trinomials/
- Examples – Examples 1 ~ 5 at https://saylordotorg.github.io/text_elementary-algebra/s09-02-factoring-trinomials-of-the-fo.html
- Practice – b and c are positive https://braingenie.ck12.org/skills/107102
- Practice – b and c are negative https://braingenie.ck12.org/skills/107103
- Practice – b negative, c positive https://braingenie.ck12.org/skills/107104
- Practice – b positive, c negative https://braingenie.ck12.org/skills/107105

- Factoring trinomials of the form x^2 + bx + c where c is positive Quiz https://www.softschools.com/quizzes/algebra/factoring_trinomials_of_the_form_x2__bx__c/quiz5061.html
- Factoring trinomials of the form x^2 + bx + c where c is negative Quiz https://www.softschools.com/quizzes/math/factoring_trinomials_of_the_form_x2_bx_c_where_c_is_negative/quiz5062.html
- https://www.thatquiz.org/tq/practicetest?9y38m49xalae
- https://www.thatquiz.org/tq/practicetest?cwcmp8uy10o19
- Take the quiz and record your score out of 5.

### 96. Factoring Simple Quadratics (with a common factor, a = 1)

- Lesson – Factoring simple quadratics with a common factor, Watch https://www.youtube.com/watch?v=y3H-kCCzc5s
- Practice – Factoring simple quadratics https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-quadratics-intro/e/factoring_polynomials_1
- Practice – Factoring simple quadratics with a common factor https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-quadratics-intro/e/factor-quadratics-common-factor
- Practice – Factoring simple quadratics, Odd numbers at https://cdn.kutasoftware.com/Worksheets/Alg1/Factoring 1.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=qcnXo4T0m7g part 2 https://www.youtube.com/watch?v=AIiMWk2qoU4 part 3 https://www.youtube.com/watch?v=JHAOLSVPBzw)
- Take the quiz and record your score out of 5.

### 97. Factoring Quadratics (by trial and error, a > 1)

- Lesson – Factoring quadratics of the form ax
^{2}+ bx + c by trial and error, Read https://mathbitsnotebook.com/Algebra1/Factoring/FCTrinomials.html or Watch https://www.youtube.com/watch?v=1X0dj6Jn60Q - Examples – Examples 1 ~ 8 at https://saylordotorg.github.io/text_elementary-algebra/s09-03-factoring-trinomials-of-the-fo.html
- Practice – Factoring quadratics of the form ax
^{2}+ bx + c, All problems at https://cdn.kutasoftware.com/Worksheets/Alg1/Factoring 2.pdf (No video solutions to reference; the current video solutions show factoring by grouping)

- https://cdn.effortlessmath.com/wp-content/uploads/2019/09/Factoring-Trinomials.pdf
- Take the quiz and record your score out of 5.

### 98. Factoring Quadratics (by grouping, a > 1)

- Lesson – Factoring quadratics of the form ax
^{2}+ bx + c by grouping, https://content.nroc.org/Algebra.HTML5/U09L1T3/NROCTopicPlayer.html

- https://www.algebra-class.com/factoring-a-trinomial.html
- https://mathbitsnotebook.com/Algebra1/Factoring/FCGrouping.html
- Examples – Examples 9 ~ 10 at https://saylordotorg.github.io/text_elementary-algebra/s09-03-factoring-trinomials-of-the-fo.html
- Practice – Do the Practice on the first link above.
- Practice – Factoring quadratics of the form ax
^{2}+ bx + c, Odd numbers at https://cdn.kutasoftware.com/Worksheets/Alg1/Factoring 2.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=uBhu51BcZpU part 2 https://www.youtube.com/watch?v=WysHw-eLP4w part 3 https://www.youtube.com/watch?v=kTRm2ChLOjI)

- https://www.softschools.com/quizzes/math/factoring_trinomials_of_the_form_ax2__bx__c_where_a_is_not_1_using_the_acmethod/quiz5368.html
- Take the quiz and record your score out of 5.

### 99. Factoring Special Products

- Lesson – Factoring special products, https://content.nroc.org/Algebra.HTML5/U09L2T1/NROCTopicPlayer.html
- Examples – Examples 1 ~ 5 at https://saylordotorg.github.io/text_elementary-algebra/s09-04-factoring-special-binomials.html
- Practice – Do the Practice on the first link above.
- Practice – Factoring special cases, Odd numbers at https://cdn.kutasoftware.com/Worksheets/Alg1/Factoring Special Cases.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=UMBczYiXVuk part 2 https://www.youtube.com/watch?v=VeMPZa6Wya0 part 3 https://www.youtube.com/watch?v=jYJvH-04uPQ)

- https://kpu.pressbooks.pub/intermediatealgebraberg/chapter/7-5-factoring-special-products/
- Take the quiz and record your score out of 5.

### 100. Factoring Quadratics in Any Form

- Lesson – Strategy in factoring quadratics https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-quadratics-strategy/v/strategy-in-factoring-quadratics-1 AND https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-quadratics-strategy/v/strategy-in-factoring-quadratics-2
- Practice – Factoring quadratics (a = 1), https://braingenie.ck12.org/units/1694/unit_quizzes/1039370
- Practice – Factoring quadratics (a > 1), https://braingenie.ck12.org/units/1695/unit_quizzes/1039371
- Practice – Factoring special products, https://braingenie.ck12.org/units/1696/unit_quizzes/1039372
- Lesson – Factoring quadratics with a negative common factor at https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-quadratics-grouping/v/factoring-trinomials-by-grouping-6
- Practice – Factoring quadratics by grouping (+ with a negative common factor) https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-quadratics-grouping/e/factoring_polynomials_by_grouping_1
- Take the quiz and record your score out of 5.

### 101. Factoring Polynomials Completely

- Lesson – Factoring polynomials completely, https://www.wyzant.com/resources/lessons/math/algebra/factoring-completely
- Practice – Factoring polynomials completely, Odd numbers at https://www.kidsmarteducation.com/wp-content/uploads/2015/10/A0718-Factoring-Mixed.pdf (Solution https://www.kidsmarteducation.com/wp-content/uploads/2015/10/ZA0718-Factoring-Mixed-ANS.pdf)

- Factoring review https://www.thatquiz.org/tq/practicetest?axas5rjzvl2t (Preview https://www.thatquiz.org/tq/preview?c=hxfqkffx&s=p03b7c)
- Factoring review at https://www.thatquiz.org/tq/practicetest?2y1csb6y1fei (Preview: https://www.thatquiz.org/tq/preview?c=ynii1302&s=kz49px)
- Take the quiz and record your score out of 5.

### 102. Catch up and Review

- Catch up if you are behind. Review lessons and quizzes that caused you trouble.
- If you don’t need to catch up, review the section Factoring Polynomials. Here are activities you can use:

- Play Jeopardy: Factoring special polynomials https://jeopardylabs.com/play/factoring-special-polynomials
- Play Jeopardy: Factoring quadratics https://jeopardylabs.com/play/factoring-quadratics-14
- Tutoring session: Roman numerals and polynomials https://content.nroc.org/Algebra.HTML5/U08SIM/index.html
- Take the quiz and record your score for extra credit.

## Solving Quadratic Equations

CHECK http://content.apex-math.com/prealgebra/

### 103. Solving Quadratic Equations by Taking Square Roots: ax^{2} + c = 0

- Lesson – Introduction to quadratic equations, Read https://www.algebra-class.com/quadratic-equation.html#quad
- Lesson – Solving quadratics by taking square roots, https://www.coolmath.com/algebra/09-solving-quadratics/04-solving-quadratic-equations-square-root-01

- https://www.algebra-class.com/how-to-solve-quadratic-equations.html
- https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:untitled-1082/v/simple-quadratic-equation
- Examples – Examples 1 ~ 5 at https://saylordotorg.github.io/text_elementary-algebra/s12-01-extracting-square-roots.html
- Practice – Solving basic quadratic equations for integer solutions https://braingenie.ck12.org/skills/107148
- Practice – Solving basic quadratic equations for fractional solutions https://braingenie.ck12.org/skills/107149
- Practice – Solving basic quadratic equations for decimal solutions https://braingenie.ck12.org/skills/107150

- (Video solutions are nice, but we need to provide the answers in radical form to use Kuta worksheets.) Solving quadratics by taking square roots, Odd numbers at https://cdn.kutasoftware.com/Worksheets/Alg1/Solving Quadratic Roots.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=L2M5b2_vjoc part 2 https://www.youtube.com/watch?v=kvie2ckByow)
- Take the quiz and record your score out of 5.

### 104. Solving Quadratic Equations by Taking Square Roots: a(px + q)^{2} + r = 0

- Lesson – Solving quadratics by taking square roots, Read https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:untitled-1082/a/solving-quadratic-equations-by-taking-square-roots

- https://www.purplemath.com/modules/solvquad2.htm
- Examples – Examples 6 ~ 8 at https://saylordotorg.github.io/text_elementary-algebra/s12-01-extracting-square-roots.html
- Practice – Solving quadratics by taking square roots, Questions 1 ~ 20 at https://www.kidsmarteducation.com/wp-content/uploads/2011/09/A0801-Solve-by-Taking-Square-Roots1.pdf (Solution https://www.kidsmarteducation.com/wp-content/uploads/2015/11/ZA0801-Solve-by-Taking-Square-RootsANS.pdf)
- Take the quiz and record your score out of 5.

### 105. Solving Quadratic Equations by Factoring: x^{2} + bx + c = 0

- Lesson – Solving quadratics by factoring (a = 1), Read https://www.algebra-class.com/factoring-quadratic-equations.html OR Watch https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratics-solve-factoring/v/example-1-solving-a-quadratic-equation-by-factoring

- https://www.coolmath.com/algebra/09-solving-quadratics/02-solving-quadratic-equations-by-factoring-01
- https://www.softschools.com/math/algebra/topics/factoring_quadratic_equations_when_a_equals_1/
- Examples – Examples 1 ~ 3 at https://saylordotorg.github.io/text_elementary-algebra/s09-06-solving-equations-by-factoring.html
- Practice – Solving Equations by Factoring x2 + bx + c Trinomials https://braingenie.ck12.org/skills/107106
- Practice – Solving Equations by Rearranging and Factoring x2 + bx + c Trinomials https://braingenie.ck12.org/skills/107107
- Practice – Solving Equations by Simplifying, Rearranging and Factoring x2 + bx + c Trinomials https://braingenie.ck12.org/skills/107108
- Take the quiz and record your score out of 5.

### 106. Solving Quadratic Equations by Factoring: ax^{2} + bx + c = 0

- Lesson – Solving quadratics by factoring, Read https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratics-solve-factoring/a/solving-quadratic-equations-by-factoring

- https://www.softschools.com/math/algebra/topics/factoring_quadratic_equations_when_a_notequal_1/
- Examples – Examples 4 ~ 9 at https://saylordotorg.github.io/text_elementary-algebra/s09-06-solving-equations-by-factoring.html
- Practice – Solving quadratics by factoring, Odd numbers at the bottom of the page http://content.apex-math.com/prealgebra/Unit8_Quadratics/Solving_Quadratics7.html
- Practice – Solving quadratics by rearranging & factoring https://braingenie.ck12.org/skills/107119

- https://cdn.kutasoftware.com/Worksheets/Alg1/Solving Quadratic Factoring.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=5JNFDTg3eFc part 2 https://www.youtube.com/watch?v=AodHwExOssc part 3 https://www.youtube.com/watch?v=rbcVA1IQ7CQ)
- https://www.thatquiz.org/tq/practicetest?16w9sb60wj90s
- https://www.kidsmarteducation.com/wp-content/uploads/2015/11/A0803-Solve-by-Factoring.pdf (Solution https://www.kidsmarteducation.com/wp-content/uploads/2015/11/ZA0803-Solve-by-Factoring-ANS.pdf)
- https://cdn.effortlessmath.com/wp-content/uploads/2019/09/Quadratic-Equation.pdf
- Take the quiz and record your score out of 5.

### 107. Solving Quadratic Equations by Completing the Square: x^{2} + bx + c = 0 (a = 1 and b = even)

- Lesson – Solving quadratics by completing the square (a = 1), Read https://mathbitsnotebook.com/Algebra1/Quadratics/QDcompletesquare.html
- Examples – Examples 1 ~ 6 at https://saylordotorg.github.io/text_elementary-algebra/s12-02-completing-the-square.html
- Practice – Complete the square https://braingenie.ck12.org/skills/107153
- Practice – Solving quadratics by completing the square (a = 1, integer solutions) https://braingenie.ck12.org/skills/107155
- Practice – Solving quadratics by completing the square (a = 1), Odd numbers at Student Practice http://content.apex-math.com/prealgebra/Unit8_Quadratics/Solving_Quadratics9.html

- Solving quadratics by completing the square (a = 1), Problems 1 ~ 12 at https://cdn.kutasoftware.com/Worksheets/Alg1/Solving Completing Square.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=Js1WKNk7qQ0 and part 2 https://www.youtube.com/watch?v=WIAcS_dUw4c and part 3 https://www.youtube.com/watch?v=rgEZdDsZ_V8)
- Take the quiz and record your score out of 5.

### 108. Solving Quadratic Equations by Completing the Square: ax^{2} + bx + c = 0 (a is not 1)

- Lesson – Solving quadratics by completing the square, Watch https://www.youtube.com/watch?v=3LB4fUyyCL8
- Examples – Example 7 ~ 8 at https://saylordotorg.github.io/text_elementary-algebra/s12-02-completing-the-square.html
- Practice – Complete the square https://braingenie.ck12.org/skills/107154
- Practice – Solving quadratics by completing the square (integer solutions) https://braingenie.ck12.org/skills/107156
- Practice – Solving quadratics by completing the square (set y = 0) https://www.kidsmarteducation.com/wp-content/uploads/2015/11/A0805-Solve-by-Completing-the-Square.pdf (Solution https://www.kidsmarteducation.com/wp-content/uploads/2015/11/ZA0805-Solve-by-Completing-the-Square-ANS.pdf)

- Solving quadratics by completing the square, Problems 13 ~ 24 at https://cdn.kutasoftware.com/Worksheets/Alg1/Solving Completing Square.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=Js1WKNk7qQ0 and part 2 https://www.youtube.com/watch?v=WIAcS_dUw4c and part 3 https://www.youtube.com/watch?v=rgEZdDsZ_V8)
- https://kpu.pressbooks.pub/intermediatealgebraberg/chapter/10-3-completing-the-square/
- Take the quiz and record your score out of 5.

### 109. Solving Quadratic Equations by the Quadratic Formula

- Lesson – Quadratic formula, Read https://www.coolmath.com/algebra/09-solving-quadratics/05-solving-quadratic-equations-formula-01 OR Watch https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratic-formula-a1/v/using-the-quadratic-formula
- Reference – Quadratic formula songs https://mathbitsnotebook.com/Algebra1/Quadratics/QDsongs.html
- Examples – Examples 1 ~ 5 at https://saylordotorg.github.io/text_elementary-algebra/s12-03-quadratic-formula.html
- Practice – Solving Quadratic Equations Using the Quadratic Formula Given Standard Form http://content.apex-math.com/prealgebra/Unit8_Quadratics/Solving_Quadratics10.html
- Practice – Solving Quadratic Equations Using the Quadratic Formula Given Standard Form https://braingenie.ck12.org/skills/107158
- Practice – Solving Quadratic Equations Using the Quadratic Formula by Rearranging Terms First https://braingenie.ck12.org/skills/107159
- Take the quiz and record your score out of 5.

### 110. Solving Quadratic Equations by the Quadratic Formula: proof

- Lesson – Deriving the quadratic formula, Read https://www.mathsisfun.com/algebra/quadratic-equation-derivation.html OR Watch https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratic-formula-a1/v/proof-of-quadratic-formula
- Practice – Solving quadratics using the quadratic formula, all problems at https://cdn.kutasoftware.com/Worksheets/Alg1/Quadratic Formula.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=puZP-Mtmntk part 2 https://www.youtube.com/watch?v=frMap22zN3M part 3 https://www.youtube.com/watch?v=MQBXSJ8k3_w)
- Take the quiz and record your score out of 5.

### 111. Solving Quadratic Equations Using Any Method

- Review – Ways to solve quadratics, First 4 methods https://mathbitsnotebook.com/Algebra1/Quadratics/QDWhichMethod.html
- Lesson – Strategy in solving quadratics https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:strategizing-to-solve-quadratics/v/strategy-in-solving-quadratic-equations
- Practice – Strategy in solving quadratics https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:strategizing-to-solve-quadratics/e/strategy-solve-quadratics
- Practice – Solving quadratics using any method, Questions 1 ~ 20 at http://content.apex-math.com/prealgebra/Unit8_Quadratics/Solving_Quadratics11.html

- Solving quadratics using any method https://www.kidsmarteducation.com/wp-content/uploads/2011/09/A0806-Solve-using-any-method.pdf (Solution https://www.kidsmarteducation.com/wp-content/uploads/2015/11/ZA0806-Solve-using-any-method-ANS.pdf)
- https://cdn.effortlessmath.com/wp-content/uploads/2019/09/Solving-a-Quadratic-Equation.pdf
- Take the quiz and record your score out of 5.

### 112. Number of Solutions to Quadratic Equations: discriminant

- Lesson – Number of solutions of quadratic equations, Watch https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratic-formula-a1/v/quadratic-formula-3
- Practice – Finding and interpreting the discriminant https://braingenie.ck12.org/skills/107157

- https://cdn.effortlessmath.com/wp-content/uploads/2019/09/Quadratic-Formula-and-the-Discriminant.pdf
- Practice – Solving quadratics using any method, Questions 21 ~ 35 at http://content.apex-math.com/prealgebra/Unit8_Quadratics/Solving_Quadratics11.html
- Take the quiz and record your score out of 5.

### 113. Word Problems: Quadratic Equations (Geometry)

- Lesson – Quadratics involving the Pythagorean Theorem https://www.algebra-class.com/pythagorean-theorem.html
- Examples – Applications involving quadratics https://mathbitsnotebook.com/Algebra1/Quadratics/QDapplications.html
- Practice – Applications involving quadratics https://mathbitsnotebook.com/Algebra1/Quadratics/QDPracticeApplications.html
- Practice – Using the Pythagorean theorem to find unknown lengths algebraically https://braingenie.ck12.org/skills/107183
- Practice (Review) – Solving quadratics using any method, Questions 36 ~ 50 at http://content.apex-math.com/prealgebra/Unit8_Quadratics/Solving_Quadratics11.html
- Take the quiz and record your score out of 5.

### 114. Catch up and Review

- Catch up if you are behind. Review lessons and quizzes that caused you trouble.
- If you don’t need to catch up, review the section Solving Quadratic Equations. Here are activities you can use:

- Play Jeopardy: Completing the square https://jeopardylabs.com/play/completing-the-square-17
- Play Jeopardy: Solving quadratic equations https://jeopardylabs.com/play/solving-quadratic-equations84
- Tutoring Session: Perfecting the long kick in soccer https://content.nroc.org/Algebra.HTML5/U09SIM/index.html
- Take the quiz and record your score for extra credit.

## Graphing Parabolas

### 115. Graphing Parabolas by Plotting Points: introduction + using a table of values

- Lesson – Parabola intro https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:intro-parabolas/v/parabolas-intro
- Practice – Parabola intro https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:intro-parabolas/e/parabolas-intro
- Lesson – Graphing parabolas by plotting points using a table of values https://www.algebra-class.com/quadratic-functions.html
- Practice – Graphing y = ax^2 by making a table of values, https://braingenie.ck12.org/skills/106785
- Practice – Graphing y = ax^2 + c by making a table of values, https://braingenie.ck12.org/skills/106786
- Practice – Graphing y = ax^2 + bx + c by making a table of values, https://braingenie.ck12.org/skills/106791
- Take the quiz and record your score out of 5.

### 116. Graphing Parabolas Using the Vertex Formula

- Lesson – Graphing parabolas by plotting the vertex and additional points https://www.algebra-class.com/vertex-formula.html
- Practice – Find the axis of symmetry given a quadratic function https://braingenie.ck12.org/skills/107135
- Practice – Find the vertex given a quadratic function https://braingenie.ck12.org/skills/107136
- Practice – Graphing parabolas by plotting the vertex and additional points, https://braingenie.ck12.org/skills/106792
- Practice – Graphing parabolas by plotting the vertex and additional points (vertex + more points, not necessary intercepts), Problems 1 ~ 6 at https://cdn.kutasoftware.com/Worksheets/Alg1/Graphing Quadratic Functions.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=9iKOFmtm1jQ part 2 https://www.youtube.com/watch?v=awY7HeCYls8)
- Take the quiz and record your score out of 5.

### 117. Graphing Parabolas in Vertex Form

- Lesson – Introduction to vertex form https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:vertex-form/v/vertex-form-intro

- https://www.thatquiz.org/tq/practicetest?1w2r13jz9ann (Preview https://www.thatquiz.org/tq/preview?c=ncrr8102&s=qn79p5)
- Reference – Play with parabolas (vertex form) https://www.desmos.com/calculator/fmxds1uvhe
- Practice – Finding the vertex given vertex form https://braingenie.ck12.org/skills/106795
- Lesson – Graphing parabolas in vertex form (vertex + any two points) https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:vertex-form/v/graphing-a-parabola-in-vertex-form
- Practice – Graphing parabolas in vertex form (vertex + one point) https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:vertex-form/e/graphing_parabolas_1

- https://braingenie.ck12.org/skills/106796
- Practice – Graphing parabolas in vertex form (vertex + key points) https://www.kidsmarteducation.com/wp-content/uploads/2017/06/A0901-Graphing-Quadratics-in-Vertex-Form.pdf (Solution https://www.kidsmarteducation.com/wp-content/uploads/2015/10/ZA0901-Graphing-Quadratics-in-Vertex-Form-ANS.pdf)
- Take the quiz and record your score out of 5.

### 118. Graphing Parabolas in Intercept Form

- Lesson – Graphing quadratics in factored form (x-intercepts and vertex) https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:factored-form-quadratics/v/graphing-quadratics-in-factored-form
- Reference – Play with parabolas (intercept form) https://www.desmos.com/calculator/kevbi2mk8e
- Practice – Finding the vertex given intercept form https://braingenie.ck12.org/skills/106799
- Practice – Graphing quadratics in factored form https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:factored-form-quadratics/e/graph-quadratic-functions-in-factored-form
- Practice – Graphing quadratics in factored form (8 problems, Label the x-intercepts, vertex, and axis of symmetry.) https://www.kidsmarteducation.com/wp-content/uploads/2011/09/A0902-Graphing-Quadratics-in-Intercept-Form2.pdf (Solution https://www.kidsmarteducation.com/wp-content/uploads/2015/10/ZA0902-Graphing-Quadratics-in-Intercept-Form-ANS.pdf)
- Take the quiz and record your score out of 5.

### 119. Graphing Parabolas in Standard Form

- Lesson – Standard form to vertex form https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:standard-form-quadratic/v/ex3-completing-the-square

- https://mathbitsnotebook.com/Algebra1/Quadratics/QDVertexForm.html
- Lesson – Standard form to intercept form https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:standard-form-quadratic/v/graphing-a-parabola-using-roots-and-vertex
- Practice – Graphing parabolas in standard form https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:standard-form-quadratic/e/graphing_parabolas_0.5
- Practice- Graphing parabolas in standard form (8 problems, factoring – vertex and x-intercepts, vertex form – vertex and y-intercept and its reflection point) https://www.kidsmarteducation.com/wp-content/uploads/2018/11/Graphing-Quadratics-in-Standard-Form.pdf (Solution https://www.kidsmarteducation.com/wp-content/uploads/2015/10/ZA0903-Graphing-Quadratics-in-Standard-Form-ANS.pdf)

- Exercise 9.5.7 at the bottom of the page (standard form, all key points, some x-intercepts are radicals) https://math.libretexts.org/Bookshelves/Algebra/Book%3A_Beginning_Algebra_(Redden)/09%3A_Solving_Quadratic_Equations_and_Graphing_Parabolas/9.05%3A_Graphing_Parabolas
- Take the quiz and record your score out of 5.

### 120. Graphing Parabolas in All Forms

- Lesson –Forms and features of quadratic functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratic-forms-features/v/rewriting-a-quadratic-function-to-find-roots-and-vertex
- Practice – Features of quadratic functions (strategy) https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratic-forms-features/e/identifying-and-using-quadratic-forms
- Lesson – Finding features of quadratic functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratic-forms-features/v/finding-features-of-quadratic-functions
- Practice – Features of quadratic functions https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratic-forms-features/e/rewriting-expressions-to-reveal-information

- https://www.thatquiz.org/tq/practicetest?tw7pk40wa75g (Preview https://www.thatquiz.org/tq/preview?c=239y2itc&s=nzcvjz)
- Practice – Graphing parabolas in all forms (16 problems, all critical points), Odd numbers at https://www.kidsmarteducation.com/wp-content/uploads/2015/10/A0904-Graphing-Quadratics-Mixed.pdf (Solution https://www.kidsmarteducation.com/wp-content/uploads/2015/10/ZA0904-Graphing-Quadratics-Mixed-ANS.pdf)

- Graphing standard form and vertex form https://tutorial.math.lamar.edu/Problems/Alg/Parabolas.aspx
- Graphing standard form and vertex form https://cdn.effortlessmath.com/wp-content/uploads/2019/09/Graphing-Quadratic-Functions.pdf
- Take the quiz and record your score out of 5.

### 121. Writing Quadratic Functions: given the vertex and point, given x-intercepts and a point

- Lesson – Writing quadratic functions https://mathbitsnotebook.com/Algebra1/Quadratics/QDGetEquation.html

- Given x-intercepts and a point https://www.youtube.com/watch?v=N7BydkYPoXM
- Given the vertex and a point https://www.youtube.com/watch?v=vAPPYoBV2Ow

- Practice – Write quadratic functions given the vertex and a point https://braingenie.ck12.org/skills/106857
- Practice – Write quadratic functions given zeros and a point https://braingenie.ck12.org/skills/106858
- Practice – Find equations in all forms given a graph https://www.thatquiz.org/tq/practicetest?iz5vmtpxenb0

- Finding equations in vertex form given a graph https://www.thatquiz.org/tq/preview?c=z675khss&s=nbme7z
- Finding equations in vertex form given a graph https://www.thatquiz.org/tq/preview?c=3q5cw5xl&s=nxlwu5

- Take the quiz and record your score out of 5.

### 122. Transforming Parabolas

- Lesson – Introduction to parabola transformation https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:transform-quadratic-functions/v/shifting-and-scaling-parabolas

- Reference – Play with parabolas https://www.desmos.com/calculator/yhbu6l5h8b
- Lesson – Shifting parabolas, https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:transform-quadratic-functions/v/example-translating-parabola
- Practice – Shifting parabolas, https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:transform-quadratic-functions/e/shift-parabolas
- Lesson – Scaling and reflecting parabolas, https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:transform-quadratic-functions/v/scaling-and-reflecting-parabolas
- Practice – Scale & reflect parabolas, https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:transform-quadratic-functions/e/stretch-and-shrink-parabolas
- Practice – Quadratic transformations. A parent function is the simplest function of a family of functions. The parent function of quadratic functions is f(x) = x^2. Compressing a parabola by a factor of 3 is the same as scaling the parabola by a factor of 1/3. https://www.thatquiz.org/tq/practicetest?9w6pakhxg09p (preview https://www.thatquiz.org/tq/preview?c=65pffnvi&s=nlh8m9)
- Take the quiz and record your score out of 5.

### 123. Word Problems: Parabolas (mainly Projectile Motion)

- Lesson – Projectile (vertical) motion https://mathbitsnotebook.com/Algebra1/Quadratics/QDprojectilemotion.html
- Examples – More examples https://www.algebra-class.com/problems-involving-quadratic-equations.html
- Practice – Projectile motion https://mathbitsnotebook.com/Algebra1/Quadratics/QDProjectilePractice.html
- Practice – Quadratics word problems https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:standard-form-quadratic/e/key-features-quadratics

- Take the quiz and record your score out of 5.

### 124. Catch up and Review

- Catch up if you are behind. Review lessons and quizzes that caused you trouble.
- If you don’t need to catch up, review the section Graphing Parabolas. Here are activities you can use:

- Play Jeopardy: Standard form to vertex form https://jeopardylabs.com/play/completing-the-square-33
- Play Jeopardy: Characteristics of parabolas https://jeopardylabs.com/play/characteristics-parabolas-5
- Play Jeopardy: Quadratic functions https://jeopardylabs.com/play/quadratic-functions75
- Tutoring Session: Rocket trajectory https://content.nroc.org/Algebra.HTML5/U10SIM/index.html

- Take the quiz and record your score for extra credit.

## Rational Expressions and Equations

### 125. Simplifying Rational Expressions

- Lesson – Simplifying rational expression, https://content.nroc.org/Algebra.HTML5/U11L1T1/NROCTopicPlayer.html
- Examples – Examples 1 ~ 11 at https://saylordotorg.github.io/text_elementary-algebra/s10-01-simplifying-rational-expressio.html
- Practice – Simplifying rational expressions, Do the Practice on the first link above.
- Practice – Simplifying rational expressions, Odd numbers at https://cdn.kutasoftware.com/Worksheets/Alg1/Simplifying Rational Expressions.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=jCX3ucB2D90 part2 https://www.youtube.com/watch?v=nJ7p89CC8mY part 3 https://www.youtube.com/watch?v=79wgvoCuv5Q part 4 https://www.youtube.com/watch?v=bo9HEFy40eE)
- Take the quiz and record your score out of 5.

### 126. Multiplying and Dividing Rational Expressions

- Lesson – Multiplying and dividing rational expressions, https://content.nroc.org/Algebra.HTML5/U11L1T2/NROCTopicPlayer.html
- Examples – Examples 1 ~ 11 at https://saylordotorg.github.io/text_elementary-algebra/s10-02-multiplying-and-dividing-ratio.html
- Practice – Multiplying and dividing rational expressions, Do the Practice on the first link above.
- Practice – Dividing rational expressions, Odd numbers at https://cdn.kutasoftware.com/Worksheets/Alg1/Dividing Rational Expressions.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=tRkhI_zPRJw part 2 https://www.youtube.com/watch?v=6b-JvckFfm0 part 3 https://www.youtube.com/watch?v=1pbjzUTtvb8)

- Multiplying rational expressions https://cdn.kutasoftware.com/Worksheets/Alg1/Multiplying Rational Expressions.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=NZJU1JEuamE part 2 https://www.youtube.com/watch?v=coDMpKxm1dM part 3 https://www.youtube.com/watch?v=rDPY9HhDHas part 4 https://www.youtube.com/watch?v=txZTuqDBtPw)

- Take the quiz and record your score out of 5.

### 127. Adding and Subtracting Rational Expressions

- Lesson – Adding and subtracting rational expressions, https://content.nroc.org/Algebra.HTML5/U11L1T3/NROCTopicPlayer.html
- Examples – Examples 1 ~ 10 at https://saylordotorg.github.io/text_elementary-algebra/s10-03-adding-and-subtracting-rationa.html
- Practice – Adding and subtracting rational expressions, Do the Practice on the first link above.
- Practice – Add and subtract rational expressions, Odd numbers at https://cdn.kutasoftware.com/Worksheets/Alg1/Adding and Subtracting Rational Expressions.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=SM1k8EKX_CY part 2 https://www.youtube.com/watch?v=PURRpeoyIqY part 3 https://www.youtube.com/watch?v=WUehBAxu2Aw)
- Take the quiz and record your score out of 5.

### 128. Solving Rational Equations

- Lesson – Solving rational equations, https://content.nroc.org/Algebra.HTML5/U11L2T1/NROCTopicPlayer.html
- Examples – Examples 1 ~ 3 at https://saylordotorg.github.io/text_elementary-algebra/s10-05-solving-rational-equations.html
- Practice – Solving rational equations, Do the Practice on the first link above.
- Practice – Solving rational equations (easy, linear equation), Odd numbers at https://cdn.kutasoftware.com/Worksheets/Alg1/Solving Rational Equations 1.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=i-jvxc1qlN8 part 2 https://www.youtube.com/watch?v=TzWjyEHWWTQ part 3 https://www.youtube.com/watch?v=jtToRmuq_wQ part 4 https://www.youtube.com/watch?v=ojSRUwytO_8)
- Take the quiz and record your score out of 5.

### 129. Solving rational equations

- Review – Solving rational equations, Follow the steps at https://www.thatquiz.org/tq/practicetest?sx4da7bz1b34d
- Examples – Rational equations with no solutions, Examples 4 ~ 5 at https://saylordotorg.github.io/text_elementary-algebra/s10-05-solving-rational-equations.html

- Practice – Solving rational equations (hard, quadratic equation), all problems at https://cdn.kutasoftware.com/Worksheets/Alg1/Solving Rational Equations 2.pdf (Video solutions at part 1 https://www.youtube.com/watch?v=DPL1e4WANLQ part 2 https://www.youtube.com/watch?v=4Prpm_xFUpE part 3 https://www.youtube.com/watch?v=5T9yy4Jc_j0 part 4 https://www.youtube.com/watch?v=vkW1BHoazKE)
- Challenge – ACT problems https://www.thatquiz.org/tq/practicetest?13xelvrbz10g64
- Take the quiz and record your score out of 5.

### 130. Word Problems: Rational Equations (Work problems)

- Lesson – Applications of rational equations, https://content.nroc.org/Algebra.HTML5/U11L2T2/NROCTopicPlayer.html
- Examples – Work through the examples in the Topic Text on the link above.
- Practice – Do the Practice on the link above.
- Take the quiz and record your score out of 5.

### 131. Catch up and Review

- Catch up if you are behind. Review lessons and quizzes that caused you trouble.
- If you don’t need to catch up, review the section Rational Expressions and Equations. Here are activities you can use:

- Play Jeopardy: Adding and subtracting rational expressions https://jeopardylabs.com/play/adding-and-subtracting-rational-expressions2
- Play Jeopardy: Multiplying and dividing rational expressions https://jeopardylabs.com/play/73-multiplying-and-dividing-rational-expressions-7
- Play Jeopardy: Solving rational and radical equations https://jeopardylabs.com/play/solving-rational-radical-equations (the last column is difficult. Try!)
- Tutoring Session: Conserving water https://content.nroc.org/Algebra.HTML5/U11SIM/index.html

- Take the quiz and record your score for extra credit.

## Review & PSAT Practice (no quiz)

### 132. Review: 1^{st} Quarter

- You’ve finished the third grading period. Let’s do a review.

- Review from Graphing Equations in Slope-Intercept Form https://content.nroc.org/Algebra.HTML5/U04L1T3/NROCTopicPlayer.html
- Review from Graphing Systems of Inequalities https://content.nroc.org/Algebra.HTML5/U06L3T1/NROCTopicPlayer.html
- Review from Mixture Problems https://content.nroc.org/Algebra.HTML5/U06L2T2/NROCTopicPlayer.html

### 133. Review: 2^{nd} Quarter

- Review from Non-Linear Functions https://content.nroc.org/Algebra.HTML5/U03L2T5/NROCTopicPlayer.html
- Review from Solving Radical Equations https://content.nroc.org/Algebra.HTML5/U07L3T2/NROCTopicPlayer.html
- Review from Fractional Exponents https://content.nroc.org/Algebra.HTML5/U07L3T4/NROCTopicPlayer.html

### 134. Review: 3^{rd} Quarter

- Review form Solving Quadratic Equations by Factoring https://content.nroc.org/Algebra.HTML5/U09L2T2/NROCTopicPlayer.html
- Review form Solving Quadratic Equations by Completing the Square https://content.nroc.org/Algebra.HTML5/U10L1T2/NROCTopicPlayer.html
- Review from Solving Quadratic Equations Using the Quadratic Formula https://content.nroc.org/Algebra.HTML5/U10L1T3/NROCTopicPlayer.html

### 135. Review: 3^{rd} Quarter

- Review from Graphing Quadratic Functions https://content.nroc.org/Algebra.HTML5/U10L1T1/NROCTopicPlayer.html
- Review from Solving Rational Equations https://content.nroc.org/Algebra.HTML5/U11L2T1/NROCTopicPlayer.html
- Review from Applying Rational Equations https://content.nroc.org/Algebra.HTML5/U11L2T2/NROCTopicPlayer.html

- Time for a report card and portfolio/records updating.

- Calculate your grade for the first quarter. See your grading sheets for the details.
- In your portfolio you should include a couple of your assignments from this quarter. You could take screen shots of different quizzes/exercises. Keep any written work. Keep your papers neat.

### 136. PSAT Practice

- *Print a bubble answer sheet if you don’t have one already.
- Take a timed practice test.
- Check your answers. Make sure you review the problems you got wrong.

### 137. PSAT Practice

- *Print a bubble answer sheet if you don’t have one already.
- Take a timed practice test.
- Check your answers. Make sure you review the problems you got wrong.

## Data Analysis

### 138. Measures of Center: mean/median/mode, outlier

- *Print out your fourth quarter grading sheet. Save this sheet and record your scores. (NOTE: Attached in the email.)
- Lesson – Mean, median, mode https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/mean-median-basics/v/statistics-intro-mean-median-and-mode
- Practice – Mean, median, and mode https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/mean-median-basics/e/mean_median_and_mode
- Practice – Effects of shifting, adding, and removing a data point https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/more-mean-median/e/effects-of-shifting-adding-removing-data-point
- Practice – Missing values given the mean https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/more-mean-median/e/find-a-missing-value-given-the-mean
- Challenge – Median & range puzzlers https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/more-mean-median/e/median-and-range-puzzlers
- Take the quiz and record your score out of 5.

CALCULATOR https://www.calculatorsoup.com/calculators/statistics/mean-median-mode.php

### 139. Measures of Spread (Variation, Dispersion): range, IQR, standard deviation

- Lesson – Measures of spread: range, variance, and standard deviation https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/variance-standard-deviation-population/v/range-variance-and-standard-deviation-as-measures-of-dispersion
- Lesson – How to find the standard deviation https://virtualnerd.com/algebra-2/probability-statistics/central-tendency-dispersion/dispersion/standard-deviation-example
- Lesson – The idea of spread and standard deviation https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/variance-standard-deviation-population/a/introduction-to-standard-deviation
- Practice – Standard deviation of population https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/variance-standard-deviation-population/e/standard_deviation_of_a_population
- Practice – Find the range and standard deviation of a data set https://braingenie.ck12.org/skills/106993
- Take the quiz and record your score out of 5.

CALCULATOR https://www.calculatorsoup.com/calculators/statistics/standard-deviation-calculator.php (Use Population option)

### 140. Box and Whisker Plots & IQR

- Lesson – Interquartile range, https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/interquartile-range-iqr/v/calculating-interquartile-range-iqr

- Practice – Interquartile range https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/interquartile-range-iqr/e/calculating-the-interquartile-range–iqr-
- Lesson – Constructing a box and whisker plot, https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/box-whisker-plots/v/constructing-a-box-and-whisker-plot

- Practice – Creating box plots https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/box-whisker-plots/e/box-plots
- Lesson – Interpreting box plots https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/box-whisker-plots/v/interpreting-box-plots
- Practice – Reading box plots https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/box-whisker-plots/e/analyzing-data-with-box-plots
- Practice – Interpreting quartiles https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/box-whisker-plots/e/interpreting-quartiles-on-box-plots
- Take the quiz and record your score out of 5.

CALCULATOR https://www.easycalculation.com/statistics/five-number-summary.php

### 141. Visualizing Data: frequency table, dot plot, histogram, stem-and-leaf plots

- Lesson – Frequency table and dot plot https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/quantitative-data-graphs/v/frequency-tables-and-dot-plots
- Practice – Creating frequency tables https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/quantitative-data-graphs/e/creating-frequency-tables
- Practice – Creating dot plots https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/quantitative-data-graphs/e/creating-dot-plots
- Practice – Reading dot plots and frequency tables https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/quantitative-data-graphs/e/analyzing-with-dot-plots
- Lesson – Histogram https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/quantitative-data-graphs/v/histograms-intro
- Practice – Creating histograms https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/quantitative-data-graphs/e/creating-histograms
- Practice – Reading histograms https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/quantitative-data-graphs/e/reading-histograms
- Lesson – Stem-and-Leaf plots https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/quantitative-data-graphs/v/u08-l1-t2-we3-stem-and-leaf-plots
- Practice – Reading stem-and-leaf plots https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/quantitative-data-graphs/e/reading_stem_and_leaf_plots
- Take the quiz and record your score out of 5.

### 142. Shapes of Distribution

- Lesson – Shapes of distributions https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/comparing-features-distributions/v/shapes-of-distributions
- Practice – Shape of distributions https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/comparing-features-distributions/e/shape-of-distributions
- Lessons – Comparing distributions https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/comparing-features-distributions/v/comparing-distributions
- Practice – Comparing distributions https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/comparing-features-distributions/e/comparing-populations
- Practice – Comparing data distribution https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/comparing-features-distributions/e/interpreting-and-comparing-data-distributions
- Practice – Comparing center and spread https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/comparing-features-distributions/e/comparing-distribution

- Take the quiz and record your score out of 5.

### 143. Scatter Plots

- Lesson – Constructing a scatter plot https://www.khanacademy.org/math/statistics-probability/describing-relationships-quantitative-data/introduction-to-scatterplots/v/constructing-scatter-plot
- Practice – Constructing scatter plots https://www.khanacademy.org/math/statistics-probability/describing-relationships-quantitative-data/introduction-to-scatterplots/e/constructing-scatter-plots
- Lesson – Describing relationships https://www.khanacademy.org/math/statistics-probability/describing-relationships-quantitative-data/introduction-to-scatterplots/v/scatter-plot-interpreting
- Practice – Describing relationships of variables given the scatter plot https://www.khanacademy.org/math/statistics-probability/describing-relationships-quantitative-data/introduction-to-scatterplots/e/positive-and-negative-linear-correlations-from-scatter-plots
- Lesson – How to find a line of fit https://www.khanacademy.org/math/statistics-probability/describing-relationships-quantitative-data/introduction-to-trend-lines/v/estimating-the-line-of-best-fit-exercise
- Practice – Eyeballing the line of best fit https://www.khanacademy.org/math/statistics-probability/describing-relationships-quantitative-data/introduction-to-trend-lines/e/plotting_the_line_of_best_fit
- Practice – Equations of trend lines https://www.khanacademy.org/math/statistics-probability/describing-relationships-quantitative-data/introduction-to-trend-lines/a/equations-of-trend-lines-phone-data

- Take the quiz and record your score out of 5.

### 144. Two-Way Frequency Tables

- Lesson – Two-way frequency tables https://www.khanacademy.org/math/probability/two-way-tables-categorical-data-a1/two-way-frequency-tables/a/two-way-frequency-tables
- Practice – Read two-way frequency tables https://www.khanacademy.org/math/probability/two-way-tables-categorical-data-a1/two-way-frequency-tables/e/reading-two-way-frequency-tables
- Practice – Create two-way frequency tables https://www.khanacademy.org/math/probability/two-way-tables-categorical-data-a1/two-way-frequency-tables/e/two-way-frequency-tables
- Lesson – Two-way relative frequency tables https://www.khanacademy.org/math/probability/two-way-tables-categorical-data-a1/two-way-relative-frequency-tables/v/two-way-relative-frequency-tables
- Practice – Read two-way relative frequency tables https://www.khanacademy.org/math/probability/two-way-tables-categorical-data-a1/two-way-relative-frequency-tables/e/reading-two-way-relative-frequency-tables
- Practice – Create two-way relative frequency tables https://www.khanacademy.org/math/probability/two-way-tables-categorical-data-a1/two-way-relative-frequency-tables/e/two-way-relative-frequency-tables
- Lesson – Interpreting two-way tables https://www.khanacademy.org/math/probability/two-way-tables-categorical-data-a1/two-way-relative-frequency-tables/v/interpreting-two-way-tables
- Practice – Interpret two-way tables https://www.khanacademy.org/math/probability/two-way-tables-categorical-data-a1/two-way-relative-frequency-tables/e/frequencies-of-bivariate-data

- https://mathbitsnotebook.com/Algebra1/StatisticsReg/ST2TwoWayTable.html
- https://mathbitsnotebook.com/Algebra1/StatisticsReg/ST2TwoWayPractice.html

- Take the quiz and record your score out of 5.

### 145. Catch up and Review

- Catch up if you are behind. Review lessons and quizzes that caused you trouble.
- If you don’t need to catch up, review the section Rational Expressions and Equations. Here are activities you can use:

- Play Jeopardy: Measures of center and spread https://jeopardylabs.com/play/enter-title128292
- Play Jeopardy: Box-and-whisker plot https://jeopardylabs.com/play/box-and-whisker-plot-33
- Play Jeopardy: Scatter plots, correlation, and linear equations https://jeopardylabs.com/play/scatter-plots-correlation-and-linear-equations-7

- Take the quiz and record your score for extra credit.

## Probability

### 146. Theoretical and Experimental Probability (simple events)

- Lesson – Intro to theoretical probability https://www.khanacademy.org/math/statistics-probability/probability-library/basic-theoretical-probability/v/basic-probability
- Practice – Theoretical probability of simple events https://www.khanacademy.org/math/statistics-probability/probability-library/basic-theoretical-probability/e/probability_1
- Lesson – Experimental probability https://www.khanacademy.org/math/statistics-probability/probability-library/experimental-probability-lib/v/experimental-probability
- Practice – Experimental probability https://www.khanacademy.org/math/statistics-probability/probability-library/experimental-probability-lib/e/finding-probability
- Lesson – Theoretical vs. Experimental Probability, Watch https://www.khanacademy.org/math/statistics-probability/probability-library/experimental-probability-lib/v/comparing-theoretical-to-experimental-probabilites
- Practice – Theoretical vs. Experimental probability https://www.thatquiz.org/tq/practicetest?18w9g5rsw10ial
- Take the quiz and record your score out of 5.

### 147. Sample Spaces

- Lesson – Sample spaces and tree diagrams https://mathbitsnotebook.com/Geometry/Probability/PBSampleSpTree.html
- Practice – Sample spaces http://mathbitsnotebook.com/JuniorMath/Probability/PBSampleSpacePractice.html
- Practice – Tree diagrams http://mathbitsnotebook.com/JuniorMath/Probability/PBTreeDiagramPractice.html
- Lesson – Sample space for compound events (table and tree diagram) https://www.khanacademy.org/math/statistics-probability/probability-library/multiplication-rule-independent/v/compound-sample-spaces
- Practice – Sample space for compound events (table and tree diagram) https://www.khanacademy.org/math/statistics-probability/probability-library/multiplication-rule-independent/e/sample-spaces-for-compound-events
- Take the quiz and record your score out of 5.

### 148. Fundamental Counting Principle

- Lesson – Counting principle https://www.coolmath.com/algebra/20-combinatorics/01-counting-principals-01
- Practice – Counting principle http://mathbitsnotebook.com/JuniorMath/Probability/PBCountPractice.html
- Practice – Counting principle, questions at the bottom of the page https://www.mathsisfun.com/data/basic-counting-principle.html
- Take the quiz and record your score out of 5.

### 149. Probability of Independent Events

- Lesson – https://content.nroc.org/Algebra.HTML5/U12L2T2/NROCTopicPlayer.html
- Examples – https://www.algebra-class.com/probability-problems.html
- Practice – Do the Practice on the first link above

- Practice – Finding the probability of independent events https://braingenie.ck12.org/skills/107248
- Take the quiz and record your score out of 5.

### 150. Probability of Dependent Events

- (Presentation is good, but Worked Examples use factorials, not introduced yet) https://content.nroc.org/Algebra.HTML5/U12L2T4/NROCTopicPlayer.html

- Examples – https://www.algebra-class.com/probability-help.html
- Practice – Finding the probability of dependent events https://braingenie.ck12.org/skills/107249
- Practice – Independent vs dependent https://www.thatquiz.org/tq/practicetest?3w2cntqymt2 (Preview https://www.thatquiz.org/tq/preview?c=yrmx0464&s=lkd8c0)
- Take the quiz and record your score out of 5.

### 151. Probability of Disjoint and Overlapping Events

- Lesson – Mutually exclusive (disjoint) events, http://mathbitsnotebook.com/Geometry/Probability/PBMutuallyExclusive.html
- Examples – Probability OR http://mathbitsnotebook.com/Geometry/Probability/PBOr.html
- Practice – Finding the probability of mutually exclusive events https://braingenie.ck12.org/skills/107246
- Practice – Finding the probability of overlapping events https://braingenie.ck12.org/skills/107247
- Practice – Finding the probability involving AND and OR http://mathbitsnotebook.com/Geometry/Probability/PBAndOrPractice.html

- Questions at the bottom https://www.mathsisfun.com/data/probability-events-mutually-exclusive.html
- Take the quiz and record your score out of 5.

### 152. Permutations and Combinations (counting principle, no repetition)

- Lesson – Learn about combinations and permutations. Try the first 6 examples on this video. https://www.youtube.com/watch?v=OXBHFBi70MM
- Lesson – You can try the rest of examples on the video if you want to.
- Practice – Permutations https://www.khanacademy.org/math/statistics-probability/counting-permutations-and-combinations/permutation-lib/e/permutations_1
- Practice – Combinations https://www.khanacademy.org/math/statistics-probability/counting-permutations-and-combinations/combinations-lib/e/combinations_1
- Practice – Permutations and combinations https://www.khanacademy.org/math/statistics-probability/counting-permutations-and-combinations/combinations-lib/e/permutations_and_combinations_2

- https://www.thatquiz.org/tq/practicetest?ky56f47z1clgv (Preview https://www.thatquiz.org/tq/preview?c=qqhltb6s&s=ohine1)
- https://www.thatquiz.org/tq/practicetest?by7cv1bzs8q6 (Preview https://www.thatquiz.org/tq/preview?c=nghffnnm&s=nvewps)
- https://www.thatquiz.org/tq/practicetest?17y8p1llx11do2 (Preview https://www.thatquiz.org/tq/preview?c=1itnup2y&s=odlyti)

- Take the quiz and record your score out of 5.

### 153. Permutations and Combinations (factorial formula, no repetition)

- Lesson – Factorials https://www.coolmath.com/algebra/20-combinatorics/02-factorials-01
- Practice – Factorial, Do the Questions at the bottom of the page. http://www.mathsisfun.com/numbers/factorial.html
- Lesson – Permutation formula https://www.coolmath.com/algebra/20-combinatorics/03-Permutations-01
- Lesson – Combination formula https://www.coolmath.com/algebra/20-combinatorics/05-combinations-01
- Practice – Permutations and Combinations, Do the Practice at https://content.nroc.org/Algebra.HTML5/U12L2T3/NROCTopicPlayer.html
- Take the quiz and record your score out of 5.

### 154. Probability Using Permutations and Combinations (easy, no repetition)

- Lesson – Probability using permutations and combinations, https://www.onlinemathlearning.com/probability-permutations-combinations.html
- Practice (review) – Counting the number of permutations, https://braingenie.ck12.org/skills/107241
- Practice (review) – Finding permutations of n objects taken r at a time, https://braingenie.ck12.org/skills/107242
- Practice (review) – Finding combinations of n objects taken r at a time, https://braingenie.ck12.org/skills/107244
- Practice – Finding probability using permutations, https://braingenie.ck12.org/skills/107243
- Practice – Finding probability using combinations, https://braingenie.ck12.org/skills/107245
- Take the quiz and record your score out of 5.

### 155. Catch up and Review

- Catch up if you are behind. Review lessons and quizzes that caused you trouble.
- If you don’t need to catch up, review the section Rational Expressions and Equations. Here are activities you can use:

- Play Jeopardy: Fundamental counting principle https://jeopardylabs.com/play/fundamental-counting-principle
- Play Jeopardy: Probability of simple and compound events https://jeopardylabs.com/play/probability225
- Play Jeopardy: Probability of compound Events https://jeopardylabs.com/play/probability-compound-events
- Play Jeopardy: Permutations and combinations https://jeopardylabs.com/play/combinations-and-permutations24
- Tutoring Session: Probability game design https://content.nroc.org/Algebra.HTML5/U12SIM/index.html

- Take the quiz and record your score for extra credit.

## Test Tips & Self-Review (no quiz)

### 156. Test preparation tips + Self-Review (1^{st} half)

- Read the chapter on studying for a math test. https://www.coolmath.com/math-anxiety-survival-guide You can read other chapters if you want to.
- Create a test for EP Math Algebra 1. Make 20 problems from Lessons 1 through 79. Do not just copy the existing problems. Make up your own. Include the topics you had trouble with. Write your problems neatly on a clean sheet or sheets of paper with enough space to show all work. Keep the answer key separate. Title your work as
**Practice Test #1**and keep for later use.

- NOTE: They will take this test on Lesson 176.

### 157. Test taking tips + Self-review (2^{nd} half)

- Read about preparing yourself for success on the tests in the Standardized tests section. https://www.khanacademy.org/college-careers-more/college-admissions/making-high-school-count You could check out other sections if you want to.
- Create a test for EP Math Algebra 1. Make 20 problems from Lessons 80 through 150. Do not just copy the existing problems. Make up your own. Include the topics you had trouble with. Write your problems neatly on a clean sheet or sheets of paper with enough space to show all work. Keep the answer key separate. Title your work as
**Practice Test #2**and keep for later use.

- NOTE: They will take this test on Lesson 177.

## Review: All Topics in Algebra 1

### 158. Review: Solving Linear Equations & Inequalities

- Review solving linear equations and inequalities. Do at least three of these review exercises.

- Solving multi-step equations https://mathbitsnotebook.com/Algebra1/LinearEquations/LEPracEquations.html
- Solving absolute value equations http://mathbitsnotebook.com/Algebra2/AbsoluteValue/AVEquationsPractice.html
- Solving multi-step inequalities https://mathbitsnotebook.com/Algebra1/Inequalities/IQinequalityPractice.html
- Solving compound inequalities https://mathbitsnotebook.com/Algebra1/Inequalities/IQCompoundPractice.html
- Solving absolute value inequalities http://mathbitsnotebook.com/Algebra2/AbsoluteValue/AVIneaulitiesPractice.html
- Linear equations word problems http://mathbitsnotebook.com/Algebra1/LinearEquations/LEAPPS.html
- Linear equations word problems (mixture) http://mathbitsnotebook.com/Algebra1/LinearEquations/LEmixturepractice.html

- Take the quiz and record your score out of 5.

### 159. Review: Graphing Linear Functions & Inequalities

- Review graphing and writing linear equations and inequalities. Do at least three of these review exercises.

- Graphing linear equations http://mathbitsnotebook.com/Algebra1/LinearEquations/LENewGraphPractice.html
- Writing equations of lines http://mathbitsnotebook.com/Algebra1/LinearEquations/LECreateEquationPractice.html
- Graphing linear inequalities http://mathbitsnotebook.com/Algebra1/Inequalities/IQGraphingPractice.html
- Linear Inequalities word problems http://mathbitsnotebook.com/Algebra1/Inequalities/IQAppliedPractice.html

- Take the quiz and record your score out of 5.

### 160. Review: Systems of Linear Equations & Inequalities

- Review solving systems of linear equations and inequalities. Do at least three of these review exercises.

- Solving systems of linear equations graphically http://mathbitsnotebook.com/Algebra1/Systems/SYGraphPractice.html
- Solving systems of linear equations algebraically http://mathbitsnotebook.com/Algebra1/Systems/SYAlgebraPractice.html
- Solving systems of linear inequalities http://mathbitsnotebook.com/Algebra1/Systems/SYGraphIneqPractice.html
- Linear systems word problems (excluding #5 and #8) http://mathbitsnotebook.com/Algebra1/Systems/SYAppliedPractice.html

- Take the quiz and record your score out of 5.

### 161. Review: Functions, Variation, and Sequences

- Review functions, variation, and sequences. Do at least three of these review exercises.

- Relations and functions http://mathbitsnotebook.com/Algebra1/Functions/FNFunctionsPractice.html
- Domain and range http://mathbitsnotebook.com/Algebra1/Functions/FNDomainRangePractice.html
- Function notation and evaluation http://mathbitsnotebook.com/Algebra1/Functions/FNNotationEvaluationPractice.html
- Modeling direct variation https://braingenie.ck12.org/units/1710/unit_quizzes
- Modeling indirect variation https://braingenie.ck12.org/units/1711/unit_quizzes
- Sequences http://mathbitsnotebook.com/Algebra1/Functions/FNSequencesPractice.html
- Explicit and recursive formulas for sequences http://mathbitsnotebook.com/Algebra1/Functions/FNSequencesExplicitRecursivePractice.html
- Sequences word problems http://mathbitsnotebook.com/Algebra1/Functions/FNSequencesWordPractice.html

- Take the quiz and record your score out of 5.

### 162. Review: Radicals

- Review radicals. Do at least three of these review exercises.

- Simplifying radicals http://mathbitsnotebook.com/Algebra1/Radicals/RADSimpPractice.html
- Arithmetic of radicals http://mathbitsnotebook.com/Algebra1/Radicals/RADArithmeticPractice.html
- Solving radical equations https://www.thatquiz.org/tq/practicetest?oz4gb35xrkuh
- Radical equations word problems https://braingenie.ck12.org/skills/107181

- Take the quiz and record your score out of 5.

### 163. Review: Exponents

- Review exponents. Do at least three of these review exercises.

- Simplifying numerical expressions with integer exponents http://mathbitsnotebook.com/Algebra1/Exponents/EXiPracIntNum.html
- Simplifying algebraic expressions with integer exponents http://mathbitsnotebook.com/Algebra1/Exponents/EXPracIntAlgebra.html
- Scientific notation http://mathbitsnotebook.com/JuniorMath/Exponents/EXSciNotPractice.html
- Rational exponents http://mathbitsnotebook.com/Algebra1/Exponents/EXFracPractice.html
- Exponential growth functions https://braingenie.ck12.org/units/1509/unit_quizzes/1002798
- Exponential decay functions https://braingenie.ck12.org/units/1510/unit_quizzes/1002799

- Take the quiz and record your score out of 5.

### 164. Review: Polynomials and Factoring

- Review polynomials and factoring. Do at least three of these review exercises.

- Adding and subtracting polynomials http://mathbitsnotebook.com/Algebra1/Polynomials/POAddPractice.html
- Multiplying polynomials http://mathbitsnotebook.com/Algebra1/Polynomials/POMultPolyPractice.html
- Dividing polynomials http://mathbitsnotebook.com/Algebra1/Polynomials/PODivPolyPractice.html
- Factoring Trinomials http://mathbitsnotebook.com/Algebra1/Factoring/FCTrinomialPractice.html
- Factoring polynomials http://mathbitsnotebook.com/Algebra1/Factoring/FCMixedPractice.html

- Take the quiz and record your score out of 5.

### 165. Review: Solving Quadratic Equations

- Review solving quadratic equations. Do at least three of these review exercises.

- Solving quadratic equations by factoring http://mathbitsnotebook.com/Algebra1/Quadratics/QDFactorPractice.html
- Solving quadratic equations by completing the square (excluding #5) http://mathbitsnotebook.com/Algebra1/Quadratics/QDCompSqPractice.html
- Solving quadratic equations using the quadratic formula http://mathbitsnotebook.com/Algebra1/Quadratics/QDquadFormulaPractice.html
- Quadratic equations word problems http://mathbitsnotebook.com/Algebra1/Quadratics/QDPracticeApplications.html

- Take the quiz and record your score out of 5.

### 166. Review: Graphing Quadratic Functions

- Review graphing quadratic functions. Do at least three of these review exercises.

- Graphing quadratic functions (take the Practice) https://content.nroc.org/Algebra.HTML5/U10L1T1/NROCTopicPlayer.html
- Graphing quadratic equations http://mathbitsnotebook.com/Algebra1/Quadratics/QDGraphPractice.html
- Quadratic equations word problems, projectile motion http://mathbitsnotebook.com/Algebra1/Quadratics/QDProjectilePractice.html
- Take the quiz and record your score out of 5.

### 167. Review: Rational Expressions and Equations

- Review rational expressions and equations. Do at least three of these review exercises.

- Simplifying rational expressions http://mathbitsnotebook.com/Algebra1/RationalEquations/REsimplifypractice.html
- Operations with rational expressions http://mathbitsnotebook.com/Algebra1/RationalEquations/REarithmeticpractice.html
- Solving rational equations http://mathbitsnotebook.com/Algebra1/RationalEquations/REequationpractice.html
- Rational equations word problems (take the Practice) https://content.nroc.org/Algebra.HTML5/U11L2T2/NROCTopicPlayer.html

- Take the quiz and record your score out of 5.

### 168. Review: Data Analysis

- Review data analysis. Do at least three of these review exercises.

- Measures of center and shapes of distributions http://mathbitsnotebook.com/Algebra1/StatisticsData/STCenterPractice.html
- Standard deviation http://mathbitsnotebook.com/Algebra1/StatisticsData/STSDPractice.html
- Box plots and quartiles http://mathbitsnotebook.com/JuniorMath/Statistics/SDboxPractice.html
- Interpreting graphs http://mathbitsnotebook.com/Algebra1/StatisticsData/STGraphPractice.html
- Scatter plots http://mathbitsnotebook.com/JuniorMath/Statistics/SDbivariateStatsPractice.html
- Two-way frequency tables http://mathbitsnotebook.com/Algebra1/StatisticsReg/ST2TwoWayPractice.html

- Take the quiz and record your score out of 5.

### 169. Review: Probability

- Review probability. Do at least three of these review exercises.

- Basic probability http://mathbitsnotebook.com/JuniorMath/Probability/PBbasicProbPractice.html
- Theoretical vs experimental probability http://mathbitsnotebook.com/JuniorMath/Probability/PBEmpirTheoProbPractice.html
- Probability of compound events http://mathbitsnotebook.com/Geometry/Probability/PBAndOrPractice.html
- Permutations and combinations (excluding #15) http://mathbitsnotebook.com/Geometry/Probability/PBPermutationPractice.html

- Take the quiz and record your score out of 5.

## Review: Solving All Types of Equations

### 170. Review: Solving Linear Equations

- Review solving linear equations. Do these review exercises. Work to get a perfect score. Use the links on the left to go over the topics again if necessary.

- Solving multi-step equations https://braingenie.ck12.org/units/1476/unit_quizzes
- Solving equations with variables on both sides https://braingenie.ck12.org/units/1477/unit_quizzes
- Solving absolute value equations https://braingenie.ck12.org/units/1496/unit_quizzes

- Take the quiz and record your score out of 5.

### 171. Review: Solving Linear Inequalities

- Review solving linear inequalities. Do these review exercises. Work to get a perfect score. Use the links on the left to go over the topics again if necessary.

- Solving multi-step inequalities https://braingenie.ck12.org/units/1494/unit_quizzes
- Solving absolute value inequalities https://braingenie.ck12.org/units/1497/unit_quizzes
- Solving compound inequalities https://braingenie.ck12.org/units/1495/unit_quizzes

- Take the quiz and record your score out of 5.

### 172. Review: Solving Systems of Linear Equations

- Review solving systems of linear equations. Do these review exercises. Work to get a perfect score. Use the links on the left to go over the topics again if necessary.

- Solving systems of linear equations by graphing https://braingenie.ck12.org/units/1499/unit_quizzes
- Solving systems of linear equations by substitution https://braingenie.ck12.org/units/1500/unit_quizzes
- Solving systems of linear equations by elimination https://braingenie.ck12.org/units/1502/unit_quizzes
- Solving special types of linear systems https://braingenie.ck12.org/units/1503/unit_quizzes

- Take the quiz and record your score out of 5.

### 173. Review: Solving Radical Equations

- Review solving radical equations. Do these review exercises. Work to get a perfect score. Use the links on the left to go over the topics again if necessary.

- Solving radical equations with a radical on one side https://braingenie.ck12.org/skills/107178
- Solving radical equations with radicals on both sides https://braingenie.ck12.org/skills/107179
- Solving radical equations https://braingenie.ck12.org/units/1707/unit_quizzes

- Take the quiz and record your score out of 5.

### 174. Review: Solving Quadratic Equations

- Review solving quadratic equations. Do these review exercises. Work to get a perfect score. Use the links on the left to go over the topics again if necessary.

- Solving quadratic equations by taking square roots https://braingenie.ck12.org/units/1701/unit_quizzes
- Factoring and Solving quadratic equations by factoring https://braingenie.ck12.org/units/1695/unit_quizzes
- Solving quadratic equations by completing the square https://braingenie.ck12.org/units/1702/unit_quizzes
- Solving quadratic equations by the quadratic formula https://braingenie.ck12.org/units/1703/unit_quizzes

- Take the quiz and record your score out of 5.

### 175. Review: Solving Rational Equations

- Review solving rational equations. Do these review exercises. Work to get a perfect score. Use the links on the left to go over the topics again if necessary.

- Solving rational equations with one solution by using LCDs https://braingenie.ck12.org/skills/107234
- Solving rational equations with two solutions by using LCDs https://braingenie.ck12.org/skills/107235
- Solving rational equations with extraneous solutions by using LCDs https://braingenie.ck12.org/skills/107236
- Solving rational equations https://braingenie.ck12.org/units/1717/unit_quizzes

- Take the quiz and record your score out of 5.

## Final Exam Week (no quiz)

### 176. Study for Final Exam

- Take Practice Test #1 you created in Lesson 156. Grade yourself and record your score on the first page of the test. Review the questions you missed and understand why you missed them.
- Make notes of the kinds of questions you get wrong repeatedly or you struggle with. Try to make your notes simple and clear so that you can review them quickly right before the final.

### 177. Study for Final Exam

- Take Practice Test #2 you created in Lesson 157. Grade yourself and record your score on the first page of the test. Review the questions you missed and understand why you missed them.
- Make notes of the kinds of questions you get wrong repeatedly or you struggle with. Try to make your notes simple and clear so that you can review them quickly right before the final.

### 178. Study for Final Exam

- Study on your own. Review lessons that caused you trouble. Check quizzes with low scores. Solve the questions you missed and understand why you missed them.
- Make notes of the kinds of questions you get wrong repeatedly or you struggle with. Try to make your notes simple and clear so that you can review them quickly right before the final.

### 179. Study for Final Exam

- Study on your own. Review lessons that caused you trouble. Check quizzes with low scores. Solve the questions you missed and understand why you missed them.

### 180. Final Exam

- Before the test:

- Take 10 minutes to review your notes from Lessons 176 through 179.
- Get a calculator and blank sheets of paper for your calculations.

- Keep in mind:

- There are 40 questions in the test.
- Write your answers clearly in the space given. Do your work on separate paper.
- There is no time limit, but you must complete the test in ONE sitting.
- Do not use a calculator unless specifically stated that you may.

- When you are ready, take your final exam.
- After the test:

- *Print out your final grading sheet. (NOTE: Attached in the email.)
- Grade yourself and record your score on your grading sheets.
- Calculate your final grade for the course. See your grading sheets for the details.
- Save your work for your portfolio. Save your final.

- Congratulations on completing Algebra 1!
- Please complete the polls below, and take them seriously. These are important to EP’s future plans.

(NOTE: The workbook has the instructions #1 ~ #4. If you update them, please let me know so that I can update the workbook as well.)