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Credits: 1

Recommended: 10th, 11th

Prerequisite: Algebra 1, Geometry

Test Prep: CLEP College Algebra, CLEP College Mathematics

Course Description: Students will engage in real-world and hands-on problem-solving while using their developing skills in algebra. Students will learn new material through animations, videos, reading, and guided practice. The topics covered in this course include: a review of algebra basics, complex numbers, solving and graphing various types of equations (linear, absolute value, quadratic, polynomial, exponential, logarithmic, radical, and rational), modeling real-world scenarios with functions, systems of equations and inequalities, conic sections, sequences and series, data analysis, and probability. Grading will be based on quizzes, a midterm exam, and a final exam.

Materials:

• Basic Supplies List
• Graph Paper

Resources: a variety of links to videos and readings as well as EP-created worksheets.

Books

 

Go here to learn about:

• the OFFLINE course books (Workbook + Answers)

Linear Equations and Inequalities in One Variable

Lesson 1* (Note that an asterisk * indicates that there is something to print)

1. If you didn’t get here through My EP Assignments, I suggest you go there and create an account.
2. This course is available completely offline. Click here for more information if you’re interested in the offline version.
3. *Print out your grading sheet.
4. Review order of operations. Review as needed and do the practice problems.
5. Review evaluating algebraic expressions. Review as needed and do the practice problems.
6. Review simplifying algebraic expressions. Review as needed and do the practice problems.

Lesson 2

1. Read about solving linear equations.
2. Solve two-step linear equations. Get 5 problems correct.
3. Solve multi-step linear equations. Get 5 problems correct.
4. Solve linear equations with fractions. Get 5 problems correct.

Lesson 3

1. Read about solving linear inequalities.
2. Solve two-step linear inequalities. Get 5 problems correct.
3. Solve multi-step linear inequalities. Get 5 problems correct.
4. Read about solving compound linear inequalities. Study examples 1 through 6.
5. Solve compound linear inequalities. Do all problems.

Lesson 4

1. Review solving multi-step linear equations. Do all problems.
2. Review solving multi-step linear inequalities. Do all problems.
3. Learn to solve linear equations with special solutions. Pause the video and work out each problem on your own.
4. Learn to solve linear inequalities with special solutions. Pause the video and work out each problem on your own.

Lesson 5

1. Review solving multi-step linear equations. Get 4 problems correct.
2. Learn to solve absolute value equations. Study examples 1 through 3.
3. Solve absolute value equations. Do problems 1 through 8.
4. Practice more with absolute value equations. Do all problems.

Lesson 6

1. Review solving absolute value equations. Do all problems.
2. Review solving multi-step linear inequalities. Do all problems.
3. Learn to solve absolute value inequalities. Study examples 1 through 6.
4. Solve absolute value inequalities. Do problems 1 through 8.

Lesson 7

1. Do the worksheets on applications of linear equations and inequalities.
   • You can print the worksheets in this course if you’d like, but they’re intended to be viewed on the screen and answered on separate paper.
2. Check your answers.

Lesson 8

1. There is a review quiz at the end of each section. Each quiz has 10 problems. Before the quiz, take 10 minutes to review lessons that caused you trouble. After the quiz, make sure you know why you missed what you missed.
2. Take the review quiz.
3. Check your answers.
4. Record your score out of 10.

Linear Equations and Inequalities in Two Variables

Lesson 9

1. Learn to find the slope of a line from two points.
2. Find slopes from two points. Do all problems.
3. Read about horizontal and vertical lines.
4. Graph horizontal and vertical lines. Do all problems.
5. Learn to graph lines in slope-intercept form.
6. Graph lines in slope-intercept form. Click the game and choose Level 4.
7. Play with the Desmos graphing calculator. Graph various lines in slope-intercept form.
   • This is the calculator built in the digital SAT. This course includes graphing practice using this calculator. You may use your own graphing calculator if you prefer.

Lesson 10

1. Learn to graph lines in standard form in two ways.
2. Convert standard form to slope-intercept form. Get 5 problems correct.
3. Graph lines in standard form in two ways. Do Review problems 1 through 13.
   • Check your answers using the graphing calculator.
   • For problems 1 through 6, graph both the given standard form and your slope-intercept form. If your slope-intercept form is correct, the two lines will coincide.

Lesson 11

1. Review finding slopes from two points. Do all problems.
2. Review graphing lines in slope-intercept form. Do all problems.
3. Learn to write equations of lines given slope and a point.
4. Learn to write equations of lines given two points.
5. Write equations of lines in point-slope form. Do all problems.
6. Learn to write equations of lines in all forms.
7. Write equations of lines in any form. Do all problems.

Lesson 12

1. Review writing equations of lines in point-slope form. Do all problems.
2. Review graphing horizontal and vertical lines. Do all problems.
3. Learn about parallel and perpendicular lines.
4. Identify parallel and perpendicular lines from equations. Do all problems.
5. Write equations of parallel and perpendicular lines. Do all problems.

Lesson 13

1. Learn about graphing linear inequalities.
2. Recognize graphs of linear inequalities. Do all problems.
3. Graph linear inequalities. Do all problems.
4. Graph problems 1 through 4 using the graphing calculator.

Lesson 14

1. Review graphing lines in slope-intercept form. Do all problems.
2. Learn to graph absolute value equations by plotting points.
3. Graph absolute value equations. Do odd problems.
   • Answers are included in the worksheets.
   • Video solutions are also available: part 1, part 2, part 3.
4. Identify vertices from absolute value equations in even problems without graphing.
   • Check your answers using the graphing calculator.
   • Click the keyboard button on the bottom left to type in math symbols and functions.

Lesson 15

1. Do the worksheets on applications of linear equations in two variables.
2. Check your answers.

Lesson 16

1. Do the worksheets on applications of linear inequalities in two variables.
2. Check your answers.

Lesson 17

1. Take the review quiz.
2. Check your answers.
3. Record your score out of 10.

Systems of Linear Equations and Inequalities

Lesson 18

1. Review graphing lines in slope-intercept form. Do all problems.
2. Review graphing lines in standard form. Do all problems.
3. Learn to solve systems of linear equations by graphing.
4. Solve systems of linear equations by graphing. Do problems 1 through 4 and 11 through 14.
   • Check your graphs and answers using the graphing calculator.

Lesson 19

1. Learn to solve systems of linear equations by substitution.
2. Solve systems of linear equations by substitution. Get 5 problems correct.
3. Learn to solve systems of linear equations by elimination.
4. Solve systems of linear equations by elimination. Get 5 problems correct.
5. Solve systems of linear equations using any method. Get 5 problems correct.

Lesson 20

1. Review solving systems of linear equations. Get 5 problems correct.
2. Learn to classify systems of linear equations.
3. Classify systems of linear equations. Do all problems.
4. Find the number of solutions graphically. Do all problems.
5. Find the number of solutions algebraically. Do all problems.

Lesson 21

1. Review graphs of linear inequalities. Do all problems.
2. Learn to graph systems of linear inequalities. Study examples 1 through 4.
3. Graph systems of linear inequalities. Do all problems.

Lesson 22

1. Do the worksheets on applications of systems of linear equations.
2. Check your answers.

Lesson 23

1. Do the worksheets on applications of systems of linear inequalities.
2. Check your answers.

Lesson 24

1. Take the review quiz.
2. Check your answers.
3. Record your score out of 10.

Polynomial Operations

Lesson 25

1. Read about polynomials.
2. Check your polynomial vocabulary. Do all problems.
3. Learn to classify polynomials.
4. Classify polynomials. Do all problems. Click on Ok and read the intro and then it will start the questions. You will see correct/incorrect only in the score, but it will show you what was incorrect at the end.
5. Learn to add and subtract polynomials.
6. Add and subtract polynomials. Do all problems.

Lesson 26

1. Review adding and subtracting polynomials. Do all problems.
2. Learn to multiply monomials by polynomials.
3. Multiply monomials by polynomials. Get 5 problems correct.
4. Learn to multiply binomials by polynomials.
5. Multiply binomials by polynomials. Get 5 problems correct.
6. Learn to multiply binomials using FOIL.
7. Multiply binomials using FOIL. Get 5 problems correct.

Lesson 27

1. Learn about special products of polynomials. Write down the patterns in your notebook several times. These patterns are worth memorizing.
2. Multiply difference of squares. Do all problems.
3. Multiply perfect squares of binomials. Do all problems.
4. Multiply binomials. Do all problems.

Lesson 28

1. Review multiplying binomials. Do all problems.
2. Learn to factor polynomials using the GCF.
3. Factor polynomials using the GCF. Do all problems.
4. Learn to factor polynomial by grouping.
5. Factor polynomials by grouping. Get 5 problems correct.

Lesson 29

1. Review factoring polynomials by grouping. Get 4 problems correct.
2. Learn to factor quadratics with leading coefficient 1.
3. Factor quadratics with leading coefficient 1. Get 4 problems correct.
4. Learn to factor quadratics by grouping.
5. Factor quadratics by grouping. Get 4 problems correct.
6. Learn to factor quadratics with leading coefficient not 1.
7. Factor quadratics with leading coefficient not 1. Get 4 problems correct.

Lesson 30

1. Learn to factor perfect square trinomials.
2. Factor perfect square trinomials. Do all problems.
3. Learn to factor difference of squares.
4. Factor difference of squares. Do all problems.
5. Factor perfect square trinomials and difference of squares. Get 5 problems correct.
6. Learn to factor sum and difference of cubes.
7. Factor sum and difference of cubes. Get 5 problems correct.

Lesson 31

1. Review factoring quadratics in any form. Do all 7 problems on the page.
2. Learn to factor quadratics completely.
3. Learn to factor high-order polynomials. Study examples 1 through 3.
4. Factor polynomials completely. Do all problems.

Lesson 32

1. Review long division with numbers if you need to.
2. Learn to divide polynomials using long division.
3. Divide quadratics by linear expression (no remainders). Do all problems.
4. Divide quadratics by linear expression (with remainders). Do all problems.
5. Divide polynomials by linear expression. Do all problems.

Lesson 33

1. Review dividing polynomials using long division. Do all problems.
2. Learn to divide polynomials using synthetic division.
3. Divide polynomials using synthetic division. Do all problems.
4. Divide polynomials using long division and synthetic division. Do all problems.

Lesson 34

1. Learn about the remainder theorem and factor theorem.
2. Solve problems using the remainder theorem. Do all problems.
3. Solve problems using the factor theorem. Do all problems.
4. Practice more with polynomial division. Do all problems.

Lesson 35

1. Take the review quiz.
2. Check your answers.
3. Record your score out of 10.

Functions

Lesson 36

1. Learn about functions.
2. Check your understanding on functions. Do all problems.
3. Learn about interval notation.
4. Learn about the domain and range of functions.
5. Find the domain and range of functions. Do all problems.

Lesson 37

1. Learn about function notation.
2. Evaluate functions. Do all problems.
3. Find inputs given outputs. Do all problems.
4. Learn to write equations in function form.
5. Write equations in function form. Do all problems.

Lesson 38

1. Learn to add and subtract functions. Read through and do the practice problems.
2. Learn to multiply and divide functions. Read through and do the practice problems.
3. Perform function operations. Do all problems.

Lesson 39

1. Read about features of functions: part 1 and part 2.
2. Identify features of functions. Do all problems.
3. Practice more with features of functions. Do all problems.

Lesson 40

1. Review evaluating functions. Do all problems.
2. Review features of functions. Do all problems.
3. Read about graphs of basic functions. Do the TRY IT problem.
4. Identify graphs of common functions. Do all problems.
5. Graph each of the basic functions you just learned using the graphing calculator.
   • Click the keyboard button on the bottom left to type in math symbols and functions.

Lesson 41

1. Read about parent functions. Stop at piece-wise defined functions.
2. Learn about shifting functions vertically.
3. Learn about shifting functions horizontally.
4. Shift functions. Do all problems.
5. Practice more with shifting functions. Do all problems.

Lesson 42

1. Review shifting functions. Do all problems.
2. Learn about reflecting functions.
3. Reflect functions. Do all problems.
4. Shift and reflect functions. Do all problems except for #5.

Lesson 43

1. Learn about scaling functions vertically.
2. Do the examples on scaling vertically. Pause the video and work out each example on your own.
3. Scale functions vertically. Do all problems.
4. Learn about scale functions horizontally.
5. Do the examples on scaling horizontally. Pause the video and work out each example on your own.
6. Scale functions horizontally. Do all problems.
7. Learn to identify function transformations.
8. Identify function transformations. Do all problems.

Lesson 44

1. Review function transformations. Do all problems.
2. Learn to graph absolute value functions using transformations.
3. Shift absolute value graphs. Do all problems.
4. Scale and reflect absolute value graphs. Do all problems.
5. Graph absolute value functions. Do all problems.

Lesson 45

1. Learn about average rate of change.
2. Find average rates of changes from tables and graphs. Do all problems.
3. Solve word problems involving average rate of change. Do all problems.
4. Practice more with average rate of change. Do all problems.

Lesson 46

1. Learn about odd and even functions.
2. Identify odd and even functions from graphs. Do all problems.
3. Identify odd and even functions from equations. Do all problems.
4. Practice more with odd and even functions. Do all problems.

Lesson 47

1. Learn about inverse functions.
2. Evaluate and graph inverse functions. Do all problems.
3. Learn to find inverse functions algebraically.
4. Find inverses of linear functions. Do all problems.
5. Find inverse of rational functions. Do all problems.
6. Practice more with inverse functions. Do problems 1 through 5.

Lesson 48

1. Learn about piecewise and step functions.
2. Evaluate piecewise functions. Do all problems.
3. Graph piecewise functions. Do all problems.
4. Evaluate step functions. Do all problems.
5. Practice more with piecewise and step functions. Do all problems.

Lesson 49

1. Take the review quiz.
2. Check your answers.
3. Record your score out of 10.

Quadratic Equations

Lesson 50

1. Read about rational and irrational numbers.
2. Read about sums and products of two rational or two irrational numbers.
3. Read about sums and products of rational and irrational numbers.
4. Classify numbers. Do all problems.
5. Try the game. Try to get all problems correct.

Lesson 51

1. Review identifying irrational numbers. Do all problems.
2. Learn to simplify square roots of positive numbers. Study the first five examples.
3. Simplify square roots of positive numbers. Do all problems.
4. Learn about imaginary numbers.
5. Simplify square roots of negative numbers. Do all problems.
6. Learn to calculate powers of the imaginary unit.
7. Calculate powers of imaginary unit. Do all problems.

Lesson 52

1. Review simplifying square roots of negative numbers. Do all problems.
2. Learn about complex numbers.
3. Identify part of complex numbers. Do all problems.
4. Learn to add, subtract, and multiply complex numbers.
5. Add, subtract, and multiply complex numbers. Do all problems.

Lesson 53

1. Learn to solve quadratic equations by taking square roots. Read and do problems 1 through 8.
2. Solve quadratic equations by taking square roots. Do all problems.
3. Practice more with solving quadratic equations by taking square roots. Do all problems.

Lesson 54

1. Review solving quadratic equations by taking square roots. Do all problems.
2. Review factoring quadratics with a common factor. Do all problems.
3. Learn to solve quadratic equations by factoring.
4. Solve quadratic equations by factoring (leading coefficient 1). Do all problems.
5. Solve quadratic equations by factoring (leading coefficient not 1). Do all problems.

Lesson 55

1. Review solving quadratic equations by taking square roots. Do all problems.
2. Review solving quadratic equations by factoring. Do all problems.
3. Learn about completing the square.
4. Learn to solve quadratic equations by completing the square.
5. Solve quadratic equations by completing the square. Do all problems.

Lesson 56

1. Review solving quadratic equations by completing the square. Do all problems.
2. Review simplifying square roots of negative numbers. Do all problems.
3. Learn to solve quadratic equations using the quadratic formula.
4. Solve quadratic equations using the quadratic formula. Do all problems and check your answers.
5. Solve quadratic equations with complex solutions. Do all problems.

Lesson 57

1. Review the first four methods of solving quadratic equations.
2. Evaluate strategies in solving quadratic equations Do all problems.
3. Solve quadratic equations using any method. Do odd problems and check your answers.
4. Solve quadratic equations with complex solutions. Do all problems.

Lesson 58

1. Review solving quadratic equations using the quadratic formula. Do all problems.
2. Review solving quadratic equations with complex solutions. Do all problems.
3. Learn about discriminants of quadratic equations.
4. Learn about sum and product of roots of quadratic equations.
5. Practice with nature of roots of quadratic equations. Do all problems.

Lesson 59

1. Write quadratic equations given integer roots. Get 3 problems correct.
2. Write quadratic equations given rational roots. Get 3 problems correct.

Lesson 60

1. Do the worksheets on applications of quadratic equations.
2. Check your answers.

Lesson 61

1. Take the review quiz.
2. Check your answers.
3. Record your score out of 10.

Quadratic Functions

Lesson 62

1. Learn about features of parabolas.
2. Identify features of parabolas. Do all problems.
3. Check your understanding on parabolas. Do all problems.
4. Learn to graph parabolas in vertex form.
5. Graph parabolas in vertex form. Do all problems.

Lesson 63

1. Review graphing parabolas in vertex form. Do all problems.
2. Learn to graph parabolas in standard form.
3. Graph parabolas in standard form. Do all problems.
4. Learn to convert standard form to vertex form.
5. Identify features of parabolas in vertex form or in standard form. Do all problems.

Lesson 64

1. Review graphing parabolas in vertex form. Do all problems.
2. Review graphing parabolas in standard form. Do all problems.
3. Learn to graph parabolas in intercept form.
4. Graph parabolas in intercept form. Do all problems.
5. Graph more parabolas in intercept form. Do all problems.

Lesson 65

1. Learn to identify features of parabolas in all forms.
2. Understand three forms of parabolas. Do all problems.
3. Identify features of parabolas in all forms. Do all problems.
4. Practice more with features of parabolas in all forms. Do all problems.
5. Graph parabolas in all forms. Do all problems.

Lesson 66

1. Remember what the discriminant is? Do a quick review.
2. Learn about discriminants and number of solutions (x-intercepts, roots, or zeros).
3. Relate discriminants and number of solutions. Do all problems.
4. Practice more with discriminants and number of solutions. Do all problems.

Lesson 67

1. Review transformations of functions. Do all problems.
2. Learn to graph parabolas using transformations.
3. Shift parabolas. Do all problems.
4. Scale and reflect parabolas. Do all problems.

Lesson 68

1. Learn to write quadratic functions given descriptions.
2. Identify quadratic functions given graphs. Do all problems.
3. Graph and write quadratic functions. Do all problems.

Lesson 69

1. Review graphing linear inequalities. Do all problems.
2. Review graphing parabolas in standard form. Do all problems.
3. Learn to graph quadratic inequalities.
4. Graph quadratic inequalities. Do all problems. (Video solutions: part 1, part 2)
5. Graph odd problems using the graphing calculator.
   • Click the keyboard button on the bottom left to type in math symbols and functions.
   • You can use the caret symbol (^) to type an exponent. Type y = (x + 1)^2 and see what happens.

Lesson 70

1. Review factoring quadratics. Get 5 problems correct.
2. Review graphing parabolas in all forms. Do all problems.
3. Learn to solve quadratic inequalities.
4. Solve or graph quadratic inequalities. Do all problems.

Lesson 71

1. Do the worksheets on applications of quadratic functions.
2. Check your answers.

Lesson 72

1. Take the review quiz.
2. Check your answers.
3. Record your score out of 10.

Polynomial Equations and Functions

Lesson 73

1. Review special products of binomials. Get 4 problems correct.
2. Learn about quadratic identities.
3. Identify or prove quadratic identities. Do all problems.
4. Learn about polynomial identities.
5. Identify or prove polynomial identities. Do all problems.
6. Practice more with polynomial identities. Do all problems.

Lesson 74

1. Review factoring special products. Copy and work out examples on your own.
   • Review factoring perfect square trinomials. Do examples 1 and 2.
   • Review factoring difference of squares. Do examples 1 and 3.
   • Review factoring sum and difference of cubes. Do examples 1 and 3.
2. Review factoring techniques. Copy and work out the examples on your own.
   • Review factoring quadratics completely. Do examples 1 and 2.
   • Review factoring polynomials by grouping. Do examples 2 and 4.
   • Review factoring high-order polynomials. Do examples 1 through 3.
3. Factor high-order polynomials. Do all problems.

Lesson 75

1. Review solving quadratic equations by factoring. Do all problems.
2. Review factoring high-order polynomials. Do all problems.
3. Learn to solve polynomial equations.
4. Solve polynomial equations by factoring. Do all problems.

Lesson 76

1. Review solving polynomial equations by factoring. Do all problems.
2. Review writing quadratic equations given integer roots. Get 4 problems correct.
3. Learn to write polynomial equations given roots.
4. Read about multiplicity of roots of polynomials.
5. Learn to write polynomial equations given roots and multiplicity.
6. Write polynomial equations given roots and multiplicities. Do all problems and check your answers.

Lesson 77

1. Learn to graph polynomial functions in factored form. Read 1 through 5.
2. Here are two more examples if you need them: example 1 and example 2.
3. Check your understanding on zeros of polynomial functions. Do all problems.
4. Describe end behaviors of polynomial functions. Read and do all problems on the page.
5. Graph polynomial functions in factored form. Do problems 1 through 4.
   • Check your graphs using the graphing calculator.
   • Check your answers.

Lesson 78

1. Review describing end behaviors of polynomial functions. Do all problems.
2. Learn to graph polynomial functions in factored form. Read 2 through 6.
3. Here are two more examples if you need them: example 1 and example 2.
4. Check your understanding on zeros and multiplicity of polynomial functions. Read and do all problems on the page.
5. Graph polynomial functions in factored form. Do problems 5 through 8.
   • Check your graphs using the graphing calculator.
   • Check your answers.

Lesson 79

1. Review solving polynomial equations by factoring. Do problems 1 through 4.
2. Review graphing polynomial functions in factored form. Do all problems on the page.
3. Learn to graph polynomial functions in standard form.
4. Find zeros of polynomial functions in standard form. Do all problems.
5. Graph polynomial functions in standard form. Do problems 9 through 12.
   • Check your graphs using the graphing calculator.
   • Check your answers.

Lesson 80

1. Review graphing polynomial functions. Do all problems.
2. Learn to write polynomial functions given zeros and multiplicity.
3. Learn to write polynomial functions given zeros and a point.
4. Write polynomial functions given descriptions. Do all problems and check your answers.

Lesson 81

1. Take the review quiz.
2. Check your answers.
3. Record your score out of 10.

Mid-Year Review

Lesson 82

1. Do the worksheets to review linear equations and inequalities.
2. Check your answers. Review what you missed and why.

Lesson 83

1. Do the worksheets to review systems of linear equations and inequalities.
2. Check your answers. Review what you missed and why.

Lesson 84

1. Do the worksheets to review polynomial operations and functions.
2. Check your answers. Review what you missed and why.

Lesson 85

1. Do the worksheets to review quadratic equations and functions.
2. Check your answers. Review what you missed and why.

Lesson 86

1. Do the worksheets to review polynomial equations and functions.
2. Check your answers. Review what you missed and why.

Midterm Exam

Lesson 87

1. There is a midterm exam in Lesson 90. A practice test is available in Lesson 89 to help you get ready. You can take the practice test any time before the exam.
2. Study on your own. Review lessons that caused you trouble. Redo problems you missed and understand why you missed them.
3. Make notes of the kinds of problems 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 exam.

Lesson 88

1. Study on your own. Review lessons that caused you trouble. Redo problems you missed and understand why you missed them.
2. Make notes of the kinds of problems 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 exam.

Lesson 89

1. This is a practice test for your midterm exam. It is usually a good practice to take a practice test just like a real exam. Read the directions below in Lesson 90.
2. When you are ready, take your practice test.
3. Check your answers and review what you missed.

Lesson 90

1. Before the test:
   • Take 10 minutes to review your notes.
   • Get a calculator and blank sheets of paper for your calculations.
2. Keep in mind:
   • There are 30 questions on the test.
   • You may use a calculator throughout the exam.
   • 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.
3. When you are ready, take your midterm exam.
4. After the test:
   • Grade your exam. Calculate and record your score out of 30.
   • Save your work for your portfolio. Save your exam.

Exponential Equations and Functions

Lesson 91

1. Remember exponent rules? Do a quick review.
2. If you need a more thorough review, go through each rule and study the examples.
3. Simplify numerical expressions with integer exponents. Play the matching game.
4. Simplify algebraic expressions with integer exponents. Do all problems.

Lesson 92

1. Review exponent rules. Do the first ten problems.
2. What is the natural base e? Read the definition.
3. Learn to simplify natural base expressions. Pause the video and work out each problem on your own.
4. Learn to evaluate natural base expressions. Pause the video and work out each problem on your own.
   • You can use the graphing calculator. Type e^2 and see what appears.

Lesson 93

1. Review exponent rules. Do problems 6 through 10.
2. Learn to solve exponential equations.
3. Solve exponential equations. Do all problems.
4. Practice more with exponential equations. Do all problems.

Lesson 94

1. Learn about exponential functions.
2. Practice with exponential functions. Do all problems.
3. Graph exponential functions by plotting points. Do all problems.

Lesson 95

1. Review transformations of functions. Do all problems.
2. Learn to graph exponential functions using transformations.
3. Graph exponential functions using transformations. Do all problems.
4. Identify features of exponential functions from graphs. Do all problems.

Lesson 96

1. Review multiplying and dividing powers. Do all problems.
2. Review solving exponential equations. Do all problems.
3. Learn to write exponential functions.
4. Write exponential functions from tables and graphs. Do all problems.
5. Learn to identify transformations and features of exponential functions. Study the two examples.
6. Identify transformations and features of exponential functions. Get 4 problems correct.
   • You may use the graphing calculator to help you.

Lesson 97

1. Do the worksheets on applications of exponentials.
2. Check your answers.

Lesson 98

1. Do the worksheets on applications of exponentials.
2. Check your answers.

Lesson 99

1. Take the review quiz.
2. Check your answers.
3. Record your score out of 10.

Logarithmic Equations and Functions

Lesson 100

1. Learn about logarithms. Read and do all problems on the page.
2. Evaluate logarithms. Do all problems.
3. Evaluate logarithms with fractions. Do all problems.

Lesson 101

1. Review evaluating logarithms. Do all problems.
2. Learn about common and natural logarithms. You may stop at Driving the Change of Base Rule.
3. Evaluate logarithms using the change-of-base formula. Do all problems.
4. Practice more with the change-of-base formula. Do all problems on the page.
5. Simplify logarithmic expressions using the change-of-base formula. Do all problems.

Lesson 102

1. Review using the change-of-base formula. Do all problems.
2. Learn about logarithm properties. Do all problems on the page.
3. Rewrite logarithmic expressions using logarithm properties. Do all problems.

Lesson 103

1. Review logarithm properties. Do all problems.
2. Here is how you prove logarithmic properties. Skip if you find it too difficult.
3. Rewrite logarithmic expressions using logarithm properties. Do odd problems.

Lesson 104

1. Learn to solve logarithmic equations.
2. Copy and redo all examples above on your own.
3. Solve logarithmic equations. Do all problems.

Lesson 105

1. Review solving logarithmic equations. Do all examples on your own.
2. Solve logarithmic equations. Do all problems.

Lesson 106

1. Review converting between exponential and logarithmic forms. Do problems 1 through 4.
2. Review evaluating logarithms using the change-of-base formula. Do all problems.
3. Learn to solve exponential equations using logarithms. Do problems 1 through 6 on the page.
4. Solve exponential equations using logarithms. Do all problems.

Lesson 107

1. Review graphing exponential functions. Do all problems.
2. Read about logarithmic functions.
3. Read about natural logarithmic functions.
4. Practice with logarithmic functions. Do all problems.

Lesson 108

1. Review transformations of functions. Do all problems.
2. Learn to graph logarithmic functions using transformations.
3. Graph logarithmic functions using transformations. Do all problems.
4. Graph more logarithmic functions using transformations. Do problems 21 through 23.
5. Learn to identify transformations and features of logarithmic functions. Study the two examples.
6. Identify transformations and features of logarithmic functions. Get 4 problems correct.
   • You may use the graphing calculator to help you.

Lesson 109

1. Do the worksheets on applications of logarithms.
2. Check your answers.

Lesson 110

1. Take the review quiz.
2. Check your answers.
3. Record your score out of 10.

Radical Equations and Functions

Lesson 111

1. Review simplifying square roots. Do all problems.
2. Learn to simplify square roots with variables.
3. Simplify square roots with variables. Do all problems.
4. Practice more with simplifying square roots with variables. Do problems 1 through 8.

Lesson 112

1. Review simplifying square roots with variables. Do all problems.
2. Learn to simplify higher roots with variables.
3. Simplify higher roots with variables. Do all problems.

Lesson 113

1. Review simplifying square roots. Do all problems.
2. Learn to add and subtract radicals. You may skip the cube root example.
3. Add and subtract radicals. Do all problems.
4. Add and subtract radicals with variables. Do all problems on your own.

Lesson 114

1. Learn to multiply and divide radicals.
2. Multiply radicals. Do problems 21 through 26.
3. Divide radicals. Do problems 5 through 10.
4. Practice more with dividing radicals. Do all problems.

Lesson 115

1. Learn about rational exponents.
2. Convert between radical form and exponent form. Do all problems.
3. Evaluate rational exponents. Do all problems.
4. Simplify rational exponents. Do all problems.
5. Simplify radicals using rational exponents. Do all problems.

Lesson 116

1. Review solving multi-step linear equations. Do all problems.
2. Review solving quadratic equations by factoring. Do all problems.
3. Learn to solve radical equations with one radical. Study examples 1 through 4.
4. Solve radical equations with one radical. Do all problems on the page.
5. Practice more with radical equations with one radical. Do all problems on the page.

Lesson 117

1. Review solving radical equations with one radical. Do all problems.
2. Learn to solve radical equations with two radicals. Study examples 5 through 8.
3. Solve radical equations. Do all problems.
4. Practice more with radical equations. Do all problems except for problems 4 and 5.

Lesson 118

1. Review simplifying rational exponents. Do problems 25 through 32.
2. Learn to solve rational exponent equations.
3. Solve rational exponent equations. Do problems 1 through 8.

Lesson 119

1. Learn about radical functions.
2. Learn to graph radical functions by plotting points.
3. Graph square root functions by plotting points. Get 4 problems correct.
4. Identify features of radical functions. Use the graphing calculator to graph problems 1 through 4, then identify the domain and range from your graphs.
5. Graph radical functions by plotting key points. Do problems 5 through 12.
   • Check your graphs using the graphing calculator.

Lesson 120

1. Review transformations of functions. Do all problems.
2. Learn to graph radical functions using transformations.
3. Graph radical functions using transformations. Do all problems.
4. Identify transformations and features of radical functions. Do all problems.

Lesson 121

1. Do the worksheets on applications of radicals.
2. Check your answers.

Lesson 122

1. Take the review quiz.
2. Check your answers.
3. Record your score out of 10.

Rational Equations and Functions

Lesson 123

1. Review factoring high-order polynomials. Do all problems.
2. Learn about rational expressions. Do the topic text and practice.
3. Simplify rational expressions. Do all problems.

Lesson 124

1. Review simplifying rational expressions. Do all problems.
2. Learn to multiply rational expressions. Do the topic text and practice.
3. Multiply and divide rational expressions. Do all problems.

Lesson 125

1. Review multiplying and dividing rational expressions. Do all problems.
2. Learn to add and subtract rational expressions. Do the topic text and review.
3. Add and subtract rational expressions. Do all problems.

Lesson 126

1. Review simplifying rational expressions. Do all problems.
2. Learn to simplify complex fractions.
3. Simplify complex fractions. Do all problems.

Lesson 127

1. Review solving multi-step linear equations. Get 3 problems correct.
2. Learn to solve simple rational equations.
3. Solve simple rational equations. Do all problems.

Lesson 128

1. Review solving quadratic equations by factoring. Do all problems.
2. Review solving quadratic equations using the quadratic formula. Do all problems.
3. Learn to solve rational equations.
4. Solve rational equations Do problems 1 through 10.

Lesson 129

1. Do the worksheets on graphing linear rational functions.
2. Check your answers.

Lesson 130

1. Do the worksheets on transforming linear rational functions.
2. Check your answers.

Lesson 131

1. Do the worksheets on applications of rationals.
2. Check your answers.

Lesson 132

1. Do the worksheets on applications of rationals.
2. Check your answers.

Lesson 133

1. Take the review quiz.
2. Check your answers.
3. Record your score out of 10.

Conic Sections

Lesson 134

1. Learn about the distance and midpoint formulas.
2. Find the distance between two points. Do all problems.
3. Find the midpoint between two points. Do all problems.
4. Practice more with distance and midpoint. Do all problems.

Lesson 135

1. Review distance and formulas. Do all problems.
2. Read about conic sections.
3. Learn about standard equations of circles. Read and study the examples.
4. Find features of circles from standard equations. Do all problems.
5. Graph circles from standard equations. Do all problems.
6. Write standard equations of circles. Do all problems.

Lesson 136

1. Review graphing standard equations of circles. Do all problems.
2. Review completing the square. Do all problems.
3. Learn about general equations of circles. Study the examples carefully.
4. Find features of circles from expanded equations. Do all problems.
5. Graph circles from expanded equations. Do all problems.

Lesson 137

1. Review distance formula. Do all problems.
2. Read about sideway parabolas.
3. Learn about focus and directrix of parabolas. Read and do problems 1 and 2 on the page.
   • Click the blue dots to switch between problems 1 and 2.
4. Write equations of parabolas from focus and directrix. Do all problems.
5. Practice more with equations of parabolas. Get 4 problems correct.
6. Graph even problems 2 through 8 using the graphing calculator.

Lesson 138

1. Review graphing parabolas in vertex form. Do all problems.
2. Review graphing circles in standard form. Do all problems.
3. Read about linear-quadratic systems.
4. Learn to solve linear-quadratic systems graphically.
5. Solve systems of lines and parabolas graphically. Use the graphing calculator to graph and solve odd problems.
6. Solve systems of lines and circles graphically. Use the graphing calculator to graph and solve odd problems.

Lesson 139

1. Review solving quadratic equations by factoring. Do all problems.
2. Review discriminants and number of real solutions. Do all problems.
3. Learn to solve linear-quadratic systems algebraically.
4. Solve systems of lines and parabolas algebraically. Solve even problems by substitution, then check your answers using the graphing calculator.
5. Solve systems of lines and circles algebraically. Solve even problems by substitution, then check your answers using the graphing calculator.

Lesson 140

1. Take the review quiz.
2. Check your answers.
3. Record your score out of 10.

Sequences and Series

Lesson 141

1. Learn about arithmetic sequences.
2. Extend arithmetic sequences. Do all problems.
3. Find explicit rules for arithmetic sequences. Do all problems.
4. Practice with arithmetic sequences. Do problems 1 through 7 on the page.
5. Practice more with arithmetic sequences. Do all problems.

Lesson 142

1. Learn about geometric sequences.
2. Extend geometric sequences. Do all problems.
3. Find explicit rules for geometric sequences. Do all problems.
4. Practice more with geometric sequences. Do all problems.

Lesson 143

1. Review explicit rules for sequences. Do odd problems.
2. Learn about recursive rules for sequences.
3. Write explicit and recursive rules for sequences. Do problems 1 through 5.
4. Practice with explicit and recursive rules for sequences. Do all problems.

Lesson 144

1. Review explicit and recursive rules for sequences. Do problems 6 through 10.
2. Learn about series and sigma notation.
3. Evaluate sigma notation. Do all problems.
4. Learn to write arithmetic series in sigma notation.
5. Write arithmetic series in sigma notation. Do all problems.
6. Learn to write finite geometric series in sigma notation.
7. Write geometric series in sigma notation. Do all problems.

Lesson 145

1. Learn about arithmetic series.
2. Check how the formulas are derived if you are interested.
3. Evaluate arithmetic series. Do all problems.
4. Practice with arithmetic sequences and series. Do all problems.

Lesson 146

1. Review evaluating arithmetic series. Do all problems.
2. Review writing geometric series in sigma notation. Do all problems.
3. Learn about finite geometric series. Read pages 1 and 2.
4. Check how the formulas are derived if you are interested.
5. Evaluate geometric series in sigma notation. Do all problems.
6. Practice with geometric sequences and series. Do all problems.

Lesson 147

1. Do the worksheets on applications of sequences and series.
2. Check your answers.

Lesson 148

1. Take the review quiz.
2. Check your answers.
3. Record your score out of 10.

Data Analysis and Probability

Lesson 149

1. Read about metric and English systems.
2. Convert metric units. Do all problems.
3. Learn about unit conversion. Do all problems on the page.
4. Convert rates. Do all problems.
5. Solve problems involving units. Do all problems.

Lesson 150

1. Learn about mean, median, and mode.
2. Find mean, median, and mode. Do all problems.
3. Learn to find a missing value given the mean.
4. Find a missing value given the mean. Do all problems.
5. Learn about impact on median and mean when removing outliers.
6. Learn about impact on median and mean when increasing outliers.
7. Identify effects of shifting, adding, and removing outliers. Do all problems.

Lesson 151

1. Review finding mean, median, and mode. Do all problems.
2. Learn about range, variance, and standard deviation.
3. Read about what standard deviation tells us about data sets.
4. Find standard deviation. Do all problems.
5. Check your understanding on standard deviation. Do all problems on the page.

Lesson 152

1. Learn about Interquartile range.
2. Find Interquartile range. Do all problems.
3. Learn about box plots.
4. Create box plots. Do all problems.
5. Read box plots. Do all problems.
6. Interpret quartiles. Do all problems.

Lesson 153

1. Learn to read graphs. Read and do all problems on the page.
2. Read and interpret graphs. Do all problems.
3. Calculate mean from graphs. Do all problems.
4. Calculate median from graphs. Do all problems.

Lesson 154

1. Read about scatter plots.
2. Practice with scatter plots. Do all problems.
3. Interpret trend lines in scatter plots. Do problems 1 through 7.

Lesson 155

1. Review quadratic functions and graphs. Do the problem on your own.
2. Review exponential functions and graphs. Do the problem on your own.
3. Read about fitting functions to data.
4. Fit functions to data. Do all problems.
5. Interpret slopes and intercepts of linear regressions. Do all problems. Use the graphing calculator to graph scatter plots first.

Lesson 156

1. Learn about data inferences. Read and do all problems on the page.
2. Identify valid claims. Do all problems.
3. Make inference from random samples. Do all problems.
4. Practice more with data inferences. Do all problems.

Lesson 157

1. Read about basic concepts of probability.
2. Read about theoretical and experimental probability.
3. Find simple probabilities. Do all problems.
4. Compare theoretical and experimental probabilities. Do all problems.
5. Read about the complement rule of probability.
6. Use the complement rule to find probabilities. Do all problems.

Lesson 158

1. Learn about the addition rule of probability.
2. Find probabilities involving OR. Do all problems on your own.
3. Practice more with probabilities involving OR. Do all problems.

Lesson 159

1. Learn about the multiplication rule of probability.
2. Find probabilities involving AND. Do all problems on your own.
3. Find probabilities involving AND and OR. Do all problems.

Lesson 160

1. Review reading Venn diagrams. Do all problems.
2. Learn about probability with sets.
3. Find probabilities given Venn diagrams. Do all problems.
4. Find probabilities involving sets. Do problems 6 through 10.

Lesson 161

1. Learn about two-way tables.
2. Create two-way tables. Do all problems.
3. Learn about probability with two-way tables.
4. Find probabilities involving two-way tables. Do all problems.
5. Find probabilities involving sets and two-way tables. Do all problems.

Lesson 162

1. Learn about conditional probability.
2. Find conditional probabilities. Do all problems.
3. Learn to determine independence using conditional probability.
4. Determine independence using conditional probability. Do all problems.

Lesson 163

1. Take the review quiz.
2. Check your answers.
3. Record your score out of 10.

End-of-Year Review

Lesson 164

1. Do the worksheets to review linear equations and inequalities.
2. Check your answers. Review what you missed and why.

Lesson 165

1. Do the worksheets to review systems of linear equations and inequalities.
2. Check your answers. Review what you missed and why.

Lesson 166

1. Do the worksheets to review polynomial operations and functions.
2. Check your answers. Review what you missed and why.

Lesson 167

1. Do the worksheets to review quadratic equations and functions.
2. Check your answers. Review what you missed and why.

Lesson 168

1. Do the worksheets to review polynomial equations and functions.
2. Check your answers. Review what you missed and why.

Lesson 169

1. Do the worksheets to review exponential equations and functions.
2. Check your answers. Review what you missed and why.

Lesson 170

1. Do the worksheets to review logarithmic equations and functions.
2. Check your answers. Review what you missed and why.

Lesson 171

1. Do the worksheets to review radical equations and functions.
2. Check your answers. Review what you missed and why.

Lesson 172

1. Do the worksheets to review rational equations and functions.
2. Check your answers. Review what you missed and why.

Lesson 173

1. Do the worksheets to review conic sections, sequences, and series.
2. Check your answers. Review what you missed and why.

Lesson 174

1. Do the worksheets to review data analysis and probability.
2. Check your answers. Review what you missed and why.

Final Exam

Lesson 175

1. There is a final exam in Lesson 180. A practice test is available in Lesson 179 to help you get ready. You can take the practice test any time before the exam.
2. Study on your own. Review lessons that caused you trouble. Redo problems you missed and understand why you missed them.
3. Make notes of the kinds of problems 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 exam.

Lesson 176

1. Study on your own. Review lessons that caused you trouble. Redo problems you missed and understand why you missed them.
2. Make notes of the kinds of problems 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 exam.

Lesson 177

1. Study on your own. Review lessons that caused you trouble. Redo problems you missed and understand why you missed them.
2. Make notes of the kinds of problems 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 exam.

Lesson 178

1. Study on your own. Review lessons that caused you trouble. Redo problems you missed and understand why you missed them.
2. Make notes of the kinds of problems 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 exam.

Lesson 179

1. This is a practice test for your final exam. It is usually a good practice to take a practice test just like a real exam. Read the directions below in Lesson 180.
2. When you are ready, take your practice test.
3. Check your answers and review what you missed.

Lesson 180

1. Before the test:
   • Take 10 minutes to review your notes.
   • Get a calculator and blank sheets of paper for your calculations.
2. Keep in mind:
   • There are 30 questions on the test.
   • You may use a calculator throughout the exam.
   • 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.
3. When you are ready, take your final exam.
4. After the test:
   • Grade your exam. Calculate and record your score out of 30.
   • Calculate your grade for the course. See the grading sheet for the details.
   • Save your work for your portfolio. Save your exam.
5. Congratulations on completing Algebra 2!
6. Take the polls.