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**Credits**: 1

**Recommended**: 10th, 11th

**Prerequisite: **Algebra 1, Geometry

**Test Prep**: CLEP College Algebra, CLEP College Mathematics

**Course Description: **This course covers advanced algebra topics including: linear equations, matrices, absolute value, inequalities, factoring, parabolas, quadratics, complex numbers, exponents, polynomials, functions, composite functions, inverse functions, rational expressions, conic sections, probability mechanics, algebraic and geometric sequences and series and basic trigonometric functions. Most topics include solving and graphing equations. Students will learn by using online texts and videos. Students will do daily problem solving, including SAT prep questions. Grading will be based on quizzes, tests and a final exam.

This course comes from Algebra 2 Online! and Intermediate Algebra; it also uses Math is Fun, Yay Math! and Khan Academy.

Algebra 2 Online has taken down the assignments we linked to. We were able to copy their questions and answers before they closed. We may be switching back some assignments when they have their update ready. Because of the graphs and complicated equations, much of it was put on our site as images. If an image is ever too small for comfort, just enlarge it on your screen. (For example: Use ctrl + on Windows, your fingers on a mobile device, etc.)

**Notes**:

You will sometimes need graph paper. I will not put this in later for you to print out. Print some out before you begin the course to have on hand.

You are allowed to use a calculator during this course. Do not use programs that solve the problems for you. There is no point to using those when you are just learning. You won’t learn how to solve the problems if someone is doing it for you. The calculator is for calculations. You already are great at multiplying and dividing and don’t need to spend time working out answers to those types of things. You can even use a calculator on tests. Cheating is a form of lying, and like lies, it eventually catches up to you.

**Lesson 1(*) (Note that an asterisk * indicates that there is a worksheet on this lesson)**

Welcome to your first day of school! I wanted to give you one **important reminder** before you begin. Many of your lessons below have an internet link for you to click on. When you go to the different internet pages for your lessons, please **DO NOT click on anything else on that page** except what the directions tell you to. DO NOT click on any advertisements or games. DO NOT click on anything that takes you to a different website. Just stay focused on your lesson and then close that window and you should be right back here for the next lesson. Okay?

- If you didn’t get here through My EP Assignments, I suggest you go there and create an account.
- (*)Print out your grading sheet or use the Excel version.
- Complete the warm-up problems.
- Record up to 3 points for at least three correct answers.
- Review order of operations when evaluating expressions.
- Click on the two video examples on expressions, simplifying and evaluating. Pause the video and try the examples yourself. Then watch to check your answers.
- simplifying expressions with exponents – Try the examples at 6:30 and 13:00.
- Evaluating algebraic expressions with rational numbers and exponents

- Take the quiz on expressions. These types of quizzes are really like your homework. If you need to go back and look at the lesson, it’s okay to do that. It’s not cheating.
- Record your score out of 7.
- This is the end of your work for this course for your first day. You are allowed to move at your own pace (this is homeschooling), but it’s intended you complete one lesson a day.

**Lesson** 2

- Do the warm-up problems.
- Record up to 3 points for at least three correct answers.
- Review the properties of numbers.
- Watch the video on the types of numbers.
- Here is a page reminder of rational and irrational numbers.
- Identify the rational/irrational numbers.

**Lesson** 3

- Do the warm-up problems.
- Record up to 3 points for at least three correct answers.
- Read about the parts of the graph and answer questions one through five.
- Record your score out of 5.
- Review averages by reading the pages and answering the questions. (Remember, you can use a calculator.)
- Record your score out of 10.

**Lesson** 4

- Find the mean, median, mode, and range of
__13, 25, 7, 28, 42, 7, 15, 23, 1, 17.__ - Answers: (17.8, 16, 7, 41) (This is warm-up topic 1.4)
- Record up to 3 points for at least three correct answers.
- Try solving equations. Do the first seven.
- Check your answers and go over the solutions to any you got wrong.
- Now solve the equations.
- Check your answers.
- Record your score out of 5.

**Lesson** 5

- Do you remember that absolute value is always positive? Use the link for a quick review.
- Watch the video and use the worksheet to take notes on absolute value equations.
- Take the quiz.
- Record your score out of 9.

**Lesson** 6

- Read about solving absolute value equations.
- Read about graphing absolute value equations.
- Play with the graph on the page and make observations. Type in abs(x) or some other function with absolute value. Change the values by using the sliders. How does the graph change? How does it stay the same?
- Solve the absolute value equations.
- Check your answers and review the solutions of any you got wrong.
- Take the quiz on solving absolute value equations.
- Record your score out of 5 (potential for extra credit).

**Lesson** 7

- Do the warm-up problems on solving absolute value equations.
- Record up to 3 points for at least three correct answers.
- Read about solving inequalities and do the first five questions. If you get one wrong, do one more. 🙂
- Go over the two examples of solving inequalities with and / or.
- Take the quiz on solving inequalities. (Just a reminder that you can use your notes while taking all of these types of “quizzes.” This is like homework or an in-class assignment.) In number three it uses the symbol for infinity; it looks like a sideways 8.
- Record your score out of 5 (potential for extra credit). (My calculus teacher gave us an extra credit point every time we wrote a problem on the board. We could basically get one point every day.)

**Lesson** 8

- Do the warm-up problems on solving inequalities.
- Record up to 3 points for at least three correct answers.
- Read about solving absolute value inequalities.
- Go over the example problem of solving absolute value inequalities.
- Take the quiz.
- Record your score out of 6 (potential for extra credit).

**Lesson** 9 **Review — test questions will come from these exercises**

**Lesson** 10(*)

- Continue some review.
- (*)Take the short test. When you take a test, you have to close your notebook and all of your tabs/windows on your computer.
- Check your answers.
- Record your score out of 14. (up to two points for each)
- ALWAYS hold onto your written tests. You can use these for review later.

**Lesson** 11

- Do the warm-up problems on solving absolute value inequalities.
- Record up to 3 points for at least three correct answers.
- Go through the video presentation on relations and functions. (Remember that you can always pause a video to try a problem before it shows you the answer.)
- Go through the video and try the examples to find the domain and range.
- Read about functions and relations.
- Try examples using the vertical line test. (video)
- Try the example with finding the domain and range.
- Use graphs to find the domain and range.
- Record 5 points for completing #8 (first 4 correct or 5 correct in a row).

**Lesson** 12

- Do the warm-up problems on domain and range.
- Record up to 3 points for at least three correct answers.
- Read about linear equations (or the equation of a straight line). You don’t need to use the links on the page.
- Do questions one through five.
- Record up to 5 points for your correct answers.
- Play more with making a graph from an equation. Make the graphs of the example equations by clicking and dragging the points on the graph.
- Record 5 points for making each of the five equations. Take off a point for any you couldn’t make.
- Go through this video presentation on linear equations.

**Lesson** 13*

- *Print out this worksheet to use to take notes as you watch the video on slope.
- Take the quiz.
- Record your score out of 10.

**Lesson** 14

- Watch the video presentation on linear functions.
- Read about making a T chart.
- Read through the lesson on slope and y-intercept in word problems.
- Work through the examples.
- Do the quiz on linear equations.
- Record your score out of 5.

**Lesson** 15

- Do the warm-up problems on linear equations.
- Record up to 3 points for at least three correct answers.
- Review slope.
- Read about the other form of writing the equation of a straight line, point-slope form.
- Try the five questions.
- Look at writing equations in point-slope form.
- Try this example.
- Take the slope quiz.
- Record your score out of 5 (potential for extra credit).

**Lesson** 16

- Do the warm-up problems on slope.
- Record up to 3 points for at least three correct answers.
- Take the linear equation test. (Answers: 1, -3, 2, y=x, y=x+2, graph 1, graph 3)
- Record your score out of 7.
- Read through this lesson on finding parallel and perpendicular lines. (Prefer a video?)
- Play with the applet on finding parallel and perpendicular lines.
- Do these examples of finding parallel and perpendicular lines.
- Take the writing linear equations quiz.
- Record your score out of 7 (potential for extra credit).

**Lesson** 17

- A little review…
- Do the presentation on functions (or read the topic text). Then do the practice and review.
- Record your review score out of 6.

**Lesson** 18

- Do the warm-up, presentation or topic text, practice and review on evaluating functions. You shouldn’t need the worked examples, but use them if you do.
- Record your review score out of 2.

**Lesson** 19

- Do the presentation or topic text, worked examples as necessary, practice and review on graphing types of functions. (You may have to think back to Algebra 1 for some of this. Don’t freak out about it! We’re not recording grades today or on Lesson 20.)

**Lesson** 20

- Do the presentation or topic text, worked examples as necessary, practice and review on finding domain and range.

**Lesson** 21

- Do the warm-up problems on writing linear equations.
- Record up to 3 points for at least three correct answers.
- Learn about scatter plots and answer the questions.

**Lesson** 22

- Try the scatter plot questions.
- Record up to 5 points for at least five correct answers.
- Watch the video on graphs of absolute value functions.
- Watch the example exercise.
- Make the graphs at :45 and 1:36 and then watch further to check your answers.
- Get five absolute value graphs correct.
- Record your score out of 5.

**Lesson** 23

- Learn about the greatest integer function, step functions and floor and ceiling functions. How are they all related?
- two minute video
- four minute video
- Read about floor and ceiling functions and answer the questions. These are types of step functions.
- An identity function returns the value inputted, so if you put in 1 for x, y is 1. If you put in -5 for x, then y is -5.
- The graph of an identity function looks like this.
- A piecewise function has a graph that is broken in pieces. It looks like this.
- A constant function returns the same number for y no matter what x you put in. What would its graph look like?
- Identify the graphs.

**Lesson** 24

- Learn about graphing inequalities.
- Try the example of graphing linear inequalities.
- Here are some more examples to try.
- Take the linear inequalities quiz.
- Record your score out of 4 (potential for extra credit).

**Lesson** 25 **Review — test questions will come from these review problems**

- Do these problems for review.
- Your test on Lesson 26 will only cover these items. A cumulative test will come later.

**Lesson** 26(*)

- Continue to review with these problems.
- (*) Take your test.
- Check your answers.
- ALWAYS hold onto your written quizzes. You can use these for review later.
- Record your score out of 5.

**Lesson** 27

- Do the warm-up problems on graphing linear inequalities.
- Record up to 3 points for at least three correct answers.
- *Print out the worksheet to take notes while you watch the video on solving systems of equations using graphing.

**Lesson** 28

- Go through the video presentation on solving systems of equations graphically. Work through the examples.
*If*you want a more detailed lesson, here is one.- Try this example of solving a system of equations graphically. Try it first and then watch the solution. It starts at 5 minutes.
- Do practice problems.
- Take the quiz.
- Record your score out of 3.

**Lesson** 29*

- *Print out the worksheet to take notes while you watch.
- Watch the video on solving systems of equations using the elimination method.

**Lesson** 30

- Do the warm-up problems on graphing systems of equations.
- Record up to 3 points for at least three correct answers.
- Scroll down to the section on “Solving by Substitution.” Read that section and work through the examples.
- Here’s another lesson on solving by substitution.
- Write an algebraic expression to solve the pencil and jar puzzle.
- When you have tried a solution, check your answer. You’ll get 2 points for the correct answer for the first problem and 5 points for a correct answer for the second. (All extra credit points, record them out of 0.)

**Lesson** 31

- Do two math problems for SAT practice. (You may choose to create a free account.)
- Study this page on systems of equations. Stop when it gets to three variables. You don’t need to learn that right now. Take notes on the vocabulary (i.e., “consistent,” “dependent,” etc.)
- Answer questions 1-8 at the bottom of the page.
- Record your score out of 7 (potential for an extra credit point).
- Watch this lesson on classifying systems of equations.
- Solve these systems of equations.
- Record your score out of 4; one point for the graph and one point for the answer.

**Lesson** 32

- Do two math problems for SAT practice.
- Do the warm-up problems on solving systems of equations algebraically.
- Record up to 3 points for at least three correct answers.
- Watch this lesson on evaluating a determinant. Here’s part 2 of that video.
- Go through this lesson on Determinants and Cramer’s Rule.
- Try the quiz on Cramer’s Rule.
- Record your score out of 4.

**Lesson** 33

- Let’s do review games.
- absolute value equations
- solving equations
- slope-intercept At least do the middle column of finding the intercept.
- graph the equation

**Lesson** 34

- More review games!
- Can you write a system of equations to figure these puzzles out? Choose Level 3.
- linear equations Click on the game and choose Level 4.
- solving equations

**Lesson** 35

- Do two math problems for SAT practice.
- Do the warm-up problems on Cramer’s Rule.
- Record up to 3 points for at least three correct answers.
- A little review of graphing inequalities and then we’ll look at systems of inequalities.
- Read about graphing inequalities.
- Practice graphing and solving inequalities. (There’s a video if you want extra help.)

**Lesson** 36

- Do two math problems for SAT practice.
- Work through this example of solving systems of inequalities with graphs.
- Try solving systems of inequalities with graphs.
- Try the quiz.
- Record your score out of 3 (potential for extra credit).

**Lesson** 37

- Do two math problems for SAT practice.
- Do the warm-up problems on solving inequalities graphically.
- Record up to 3 points for at least three correct answers.
- Watch the video on absolute value inequalities.
- Try these two problems. Pause the video, copy down the problem, solve it and then watch the solution.

**Lesson** 38

- Do two math problems for SAT practice.
- Watch the video on graphing absolute value.
- Watch the video on graphing absolute value equations.
- Watch the video on graphing systems of inequalities.
- Watch the video example of graphing systems of inequalities with no solution.
- Do the practice on graphing systems of inequalities.
- Record your score out of 13. If you got them all right, score 13. Score 12 for 1 wrong. Score 11 for 2 wrong. Score 10 for finishing the activity.

**Lesson** 39

- Click on each type of transformation in the list (translation, reflections, dilation, rotation). Read the lesson and then try the practice examples. Use graph paper and then check your answers.

**Lesson ****40**

- Read this lesson on translations with matrices.
- Try some example problems. Pause and try what you can before you view the solutions.

**Lesson** 41

- Do two math problems for SAT practice.
- I took a course in college that used linear programming. We solved systems of equations in order to figure out where companies should place distribution centers, how many employees a company should have, etc. We wrote as many equations as we could to put as much information into the decision as possible and solved. These are the
**constraints**, the limitations our decision was bound by. (The company will only spend a certain maximum amount of money on each employee, or only wants so many trucks in operation, etc.) You’ll be doing a smaller version of that today. - Go through these examples of linear programming.
- Take the quiz. (Enlarge the images to see them better. Use ctrl + on Windows, your fingers on a mobile device, etc.)
- Record your score out of 5 (potential for extra credit).

**Lesson** 42

- Do two math problems for SAT practice.
- Do the warm-up problems on linear programming.
- Record up to 3 points for at least three correct answers.
- Go through at least one example of linear programming used to solve problems.
- Go through this example as well. (At the end, the three dots in a triangle shape mean “therefore.”)
- Take the quiz.
- Record the score out of 5.

**Lesson** 43*

- Do two math problems for SAT practice.
- Do the warm-up problems on linear programming problems.
- Record up to 3 points for at least three correct answers.
- *Print out this worksheet to take notes as you watch the video below.
- Watch the video lesson on solving systems of equations with three variables.

**Lesson** 44

- Do two math problems for SAT practice.
- Do the three video lesson examples on solving equations with three variables.
- Scroll down the page and learn about solving systems of equations with three variables. Do questions 9 and 10 at the bottom of the page.
- Do one of these problems (without looking at your notes).
- Check your answers (using your notes from the video on Lesson 43) when you are done.

**Lesson** 45 **Review — test questions will come from these problems**

**Lesson** 46(**)

- Do two math problems for SAT practice.
- Continue your review by solving these linear programming word problems.
- (*)Take your test.
- Check your answers.
- Record your score out of 10 (up to 2 points for each problem).

**Lesson** 47*

- Do two math problems for SAT practice.
- *Print out this worksheet to take notes on as you watch the video below.
- Watch this short video on matrices. (look familiar?)
- Take the quiz on matrices.
- Watch this presentation on identifying elements in a matrix.

**Lesson** 48

- Do two math problems for SAT practice.
- Find the determinant of the matrices.
- Answer the questions at the bottom of the page.
- Do page one of this worksheet packet on matrices. Write in definitions of the bold-faced words. Search online if necessary, but you can probably just use your brain! Write the dimensions of the example matrices and do the problem at the bottom of the page.
- Hold onto your written work for your portfolio. Figure out your grade for the first quarter.

**Lesson** 49

- (*)Print out your grading sheet or use the Excel version.
- Do two math problems for SAT practice.
- Watch the lessons on adding matrices. Stop the videos when you are ready to try it yourself and then check your answers.
- adding (subtracting is the same, just straight across to corresponding elements)
- additive inverse (What matrix would you add to use the additive identity property?) (answer: It would have all zeros.)

- Practice adding and subtracting matrices.
- Record your score out of 4.
- Watch the lessons on multiplying matrices. Don’t forget to stop and solve at some point. Try it out!
- Take the quiz.
- Record your score out of 5 (potential for extra credit).

**Lesson** 50

- Go through these pages on solving determinants.
- Do pages four and five of the matrix worksheet packet. Do the numbered problems (nine of them).
- Check your answers.
- Record your score out of 9. (This is listed on the grading sheet on Lesson 51.)
- Do you remember Cramer’s Rule?

**Lesson** 51

- Do two math problems for SAT practice.
- Watch the video lesson on finding the inverse of a matrix. Work along with him. Write down the example.
- Learn about the inverse and identity of a matrix.
- Try the questions at the bottom of the page.

**Lesson** 52

- Do two math problems for SAT practice.
- Watch the videos.
- solving a matrix equation
- solving a matrix equation (He uses multiplication in this. You just multiply each element by the number, just like the distributive property.)

- Do pages two (starting at adding and subtracting matrices) and three of the matrix worksheet packet.
- Check your answers. Correction! For number three, -4 x 5 = -20 (not 20 as shown on the answer key)
- Record your score out of 14. (Listed on the grading sheet on Lesson 50.)
- Watch the lesson on using the inverse of a matrix to solve an equation.

**Lesson** 53

- Do two math problems for SAT practice.
- Watch the videos.
- Do pages six and seven of the matrix worksheet packet. Do the example problems (five of them).
- Check your answers.
- Record your score out of 5.
- Take the quiz.
- Record your score out of 5 (potential for extra credit).

**Lesson** 54

- Do two math problems for SAT practice.
- Take the quiz on determinants.
- Record your score out of 4.
- Take the quiz on the inverse of a matrix.
- Record your score out of 5 (potential for extra credit).
- Do one more quiz on the inverse.
- Record your score out of 5.

**Lesson** 55

- Do two math problems for SAT practice.
- Watch the video lesson examples.
- Take the quiz.
- Add a point. Record your score out of 4.
- Solve the matrix equations.
- Record your score out of 5.

**Lesson** 56

- Do two math problems for SAT practice.
- Review Cramer’s Rule with two equations.
- Apply Cramer’s Rule to three equations. (If you prefer video…)
- Practice Cramer’s Rule.
- You can go through the example and then try to solve this three by three equation with Cramer’s Rule. (X = 3.83, Y = 1.22, Z = -9.94)

**Lesson** 57

- Do two math problems for SAT practice.
- Learn about augmented matrices and using elementary row operations to find the inverse of a matrix.
- Read and answer the questions at the bottom of the page.

**Lesson** 58

- Do two math problems for SAT practice.
- Record 3 points for completion.
- Watch the lesson on writing systems from augmented matrices. Try the examples.
- Watch the lesson on using an augmented matrix.
- Take the quiz on using augmented matrices.
- Record your score out of 5.

**Lesson** 59

- Do two math problems for SAT practice.
- Learn about box and whisker plots.
- Try the example and then watch the solution. If you didn’t get it all right, do the second one as well and then check your solution by watching the rest of the video.
- Answer three correct in a row of these problems.

**Lesson** 60

- Do two math problems for SAT practice.
- Read the page on exponent properties.
- Answer questions 1-10. Use the page as necessary to remind yourself of the rules.
- Record your score out of 10 (potential for extra credit).
- You can do any of the “hard” problems for extra credit points if you get them right.

**Lesson** 61

- Do two math problems for SAT practice.
- Read about simplifying expressions with exponents.
- Answer the questions for practice.
- Try this exponents quiz.
- Record your score out of 10.

**Lesson** 62

- Do two math problems for SAT practice.
- Simplify the expressions.
- Record your score out of 5.
- Watch the lesson on classifying polynomials.
- Watch the lesson on modeling data. You can also watch the first 1:47 of this video; there’s more there if you wan to try more.
- Read the lesson and look at the graphs, graphing exponential functions. What do you notice? (You don’t need to copy down these problems.)
- Draw the graph of (1/3) to the -x power. (You can refer to the lesson as necessary.)
- Check your answer.
- Record up to 5 points for a correct graph.

**Lesson** 63

- Do two math problems for SAT practice.
- Read about polynomials.
- Answer the questions.
- Record your score out of 10.

**Lesson** 64

- Do two math problems for SAT practice.
- Read about adding and subtracting polynomials.
- Answer the questions.
- Record your score out of 10.
- Simplify the expressions. Do numbers 1, 2, 4, and 5.
- Record your score out of 4.

**Lesson** 65

- Do two math problems for SAT practice.
- Read about multiplying polynomials.
- Answer the questions 1 through 10.
- Add an extra credit point if you can get this one.
- Record your score out of 10.
- Take the polynomials quiz and record your score out of 5.

**Lesson** 66

- Do two math problems for SAT practice.
- Read about polynomial long multiplication.
- Answer questions one through ten.
- Record your score out of 10.

**Lesson** 67*

- Do two math problems for SAT practice.
- *Print out this worksheet to take notes while you watch the video.
- Watch the video on dividing polynomials with long division.
- Try the quiz. Do numbers 8-13. If you get one wrong, you can try another problem to try to earn back that point.)
- Record your score out of 6. Record eight if you have a six because that means you either knew your stuff or you didn’t give up and kept trying.

**Lesson** 68

- Do two math problems for SAT practice.
- Solve using long division. Skip the third one. You’ll learn about synthetic division in the next lesson. Give yourself that point.
- Record your score out of 5.
- Watch the lessons on factoring trinomials. Remember to pause and try things first when you can.

**Lesson** 69

- Do two math problems for SAT practice.
- Factor these completely.
- Record your score out of 5. (together with the quiz below)
- *Print this worksheet to take notes as you watch the video.
- Watch the video on synthetic division.
- Take the quiz.
- Record your score out of 8.

**Lesson** 70

- Do the warm-up, presentation, worked examples (as necessary) and practice on the introduction to rational expressions.
- Record your score out of 5 for the practice. (These can have a different number of questions, but record up to five points. You only have to subtract points if you get fewer than five correct. This goes for any of the warm-up activities you’ll be doing that say to record out of five.

**Lesson** 71

- Do the review from the introduction. (introduction to rational expressions)
- Do the warm-up, presentation, worked examples (as necessary) and practice on multiplying and dividing rational expressions.
- Record your score out of 5 for the practice.

**Lesson** 72

- Do the review from Lesson 71’s topic.
- Do the warm-up, presentation, worked examples (as necessary) and practice on adding and subtracting rational expressions.
- Record your score out of 5 for the practice.

**Lesson** 73

- Do the review from Lesson 72’s topic.
- Do the warm-up, presentation, worked examples (as necessary) and practice on complex rational expressions.
- Record your score out of 5 for the practice.

**Lesson** 74

- Do the review from Lesson 73’s topic.
- Do the warm-up, presentation, worked examples (as necessary) and practice on solving rational equations and applications.
- Record your score out of 5 for the practice.

**Lesson** 75

- Do the review from Lesson 74’s topic.
- Do the warm-up, presentation, worked examples (as necessary) and practice on rational formulas.
- Record your score out of 5 for the practice.

**Lesson** 76

- Do two math problems for SAT practice.
- Do the review from Lesson 75’s topic.
- Do the tutoring session on profits and the rising cost of fuel.
- Would you like to try a game?

**Lesson** 77

- Read the lesson and answer the questions on rational expressions.
- Record your score out of 8. (potential for extra credit)

**Lesson** 78

- Read the page and answer the questions on using rational expressions.
- Record your score out of 8. (potential for extra credit)

**Lesson** 79

- Do the warm-up, presentation, worked examples (as necessary) and practice on roots.
- Record your score out of 5 for the practice.

**Lesson** 80

- Do the review section from roots.
- Do the warm-up, presentation, worked examples (as necessary) and practice on multiplying and dividing radical expressions.
- Record your score out of 5 for the practice.

**Lesson** 81

- Do the review section from Lesson 80.
- Do the warm-up, presentation, worked examples (as necessary) and practice on adding and subtracting radicals.
- Record your score out of 5 for the practice.

**Lesson** 82

- Do the review section from Lesson 81.
- Do the warm-up, presentation, worked examples (as necessary) and practice on multiplying multiple term radicals.
- Record your score out of 5 for the practice.

**Lesson** 83

- Do the review section from Lesson 82.
- Do the warm-up, presentation, worked examples (as necessary) and practice on rationalizing denominators.
- Record your score out of 5 for the practice.

**Lesson** 84

- Do the review section from Lesson 83.
- Do the warm-up, presentation, worked examples (as necessary) and practice on solving radical equations.
- Record your score out of 5 for the practice.

**Lesson** 85

- Do the review section from Lesson 84.
- Do the warm-up, presentation, worked examples (as necessary) and practice on complex numbers.
- Record your score out of 5 for the practice.

**Lesson** 86

- Do the review section from Lesson 85.
- Do the warm-up, presentation, worked examples (as necessary) and practice on operations on complex numbers.
- Record your score out of 5 for the practice.

**Lesson** 87

- Do the review section from Lesson 86.
- Do the warm-up, presentation, worked examples (as necessary) and practice on operations on square roots and completing the square.
- Record your score out of 5 for the practice.

**Lesson** 88

- Do the review section from Lesson 87.
- Do the warm-up, presentation, worked examples (as necessary) and practice on operations on the quadratic formula.
- Record your score out of 5 for the practice.

**Lesson** 89

- Do two math problems for SAT practice.
- Do the review section from Lesson 88.
- Complete the tutoring session.

**Lesson** 90

- Do two math problems for SAT practice.
- Complete these exercises to review.
- radicals
- roots
- roots quiz Record your score out of 5. (potential for an extra credit point)
- radical expressions
- radical expressions Record your score out of 10.

- This is the end of the quarter. Figure your final grade. Make sure you save your written work. You can also print a screen shot of the sites we are using. How is your grade? What can you do to improve it?

**Lesson** 91

- (*)Print out your grading sheet or use the Excel version.
- Do two math problems for SAT practice.
- Complete these exercises for review.

**Lesson** 92

- Do two math problems for SAT practice.
- Complete these exercises to review.
- complex numbers
- Complex numbers quiz (record this score out of 12, potential for extra credit)
- Simplifying Complex Numbers
- Quiz (record this score out of 5)

**Lesson** 93(*)

- Do two math problems for SAT practice.
- (*) Take your test. Do not use notes.
- Check your answers.
- Record your score out of 5.
- Try some review problems. Do a few from each set.

**Lesson** 94

- Do two math problems for SAT practice.
- Watch the video on graphing quadratic functions. Take notes.

**Lesson** 95

- Do two math problems for SAT practice.
- Do the two problems on this worksheet without using your notes.
- Check your notes to see if you did it right. Correct any problems.
- Take the quiz. (Don’t email your score to me!) Score up to 2 points for each question.
- Record your score out of 10.

**Lesson** 96

- Do two math problems for SAT practice.
- Complete the lesson on Multiplying Binomials.
- Complete practice problems to check your understanding. If you aren’t getting this easily, then try some more by using the worksheet.
- Complete the challenge question at the bottom of the page.

**Lesson** 97(*)

- Do two math problems for SAT practice.
- (*)Print out this worksheet to use to take notes while you watch the video.
- Watch the video lesson solving quadratic functions.

**Lesson** 98

- Do two math problems for SAT practice.
- Watch the lesson on solving quadratic equations by factoring. When she sets the two parts of the equation to zero at around 10 minutes, she’s using the Zero Product Property. If you’d rather read, here’s a lesson.
- Make sure to write down the problems and try them.

- Make sure to complete the practice problems to check your understanding.
- Check your answers.

**Lesson** 99

- Do two math problems for SAT practice.
- Here’s a review of solving quadratic equations by factoring.
- Watch these two lessons on solving quadratic equations using square roots.
- Here is a second so you have some more examples of ways of simplifying the square root and of writing the answer.
- Here’s a written lesson if you prefer it. Use adblock.

- Make sure you do practice problems to check your understanding.
- Check your answers.

**Lesson** 100

- Do two math problems for SAT practice.
- Watch the lesson on solving quadratic equations by completing the square. Do it along with him.
- Make sure you do practice problems to check your understanding.
- Check your answers.

**Lesson** 101

- Do two math problems for SAT practice.
- Watch the lesson on using the quadratic formula to solve quadratic equations.
- If you want to read, you can use this. Use adblock.

- Make sure you do some practice problems to check your understanding.
- Check your answers.

(**NOTE: Correction**for #11 – two real rational solutions)

**Lesson** 102

- Do two math problems for SAT practice.
- Review solving quadratics with graphing and take the quiz. For each quiz equation, you need to do two things:
- Identify if the graph of the equation should point up or down. (Is ‘a’ positive or negative?)
- Identify which stated solution set is the best match for the correct graph. (The solution set for each equation is the two x-values when y is zero or where the graph crosses the x-axis.)
- You do NOT have to calculate the exact solution set. Just approximate it from the given graphs.

- Record your score out of 4.

**Lesson** 103

- Do two math problems for SAT practice.
- Review solving quadratics by factoring.
- Answer questions 4, 5, 6, 9, and 10.
- Record your score out of 5.

**Lesson** 104

- Do two math problems for SAT practice.
- Review about solving quadratics by completing the square.
- Answer questions 1-5.
- Record you score out of 5.

**Lesson** 105

- Do two math problems for SAT practice.
- Review about solving quadratic equations.
- Answer the questions. (These are linked on the page.)
- Can you answer any of the hard ones? (Record up to five extra credit points for up to five correct answers out of the “hard” section.)

**Lesson** 106

- Do two math problems for SAT practice.
- Solve these quadratic word problems. Try them first and then look through the solutions. There are just the problems on the page. There are no extra questions at the end.

**Lesson** 107

- Do two math problems for SAT practice.
- Review solving quadratic equations.
- Practice solving quadratic equations (just try some). You will do this some more on Lesson 108. (In practice mode, you can see how to solve it line by line if necessary.)
- Check your answers.

**Lesson** 108

- Do two math problems for SAT practice.
- Do some more of the practice solving quadratic equations (just try some). (source)
- Check your answers.
- Solve the following quadratic equations. Record your score out of 7.

**Lesson** 109*

- Do two math problems for SAT practice.
- *Print out this worksheet to take notes as you watch the video.
- Watch the video on complex numbers.
- Complete the quiz.
- Record your score out of 10.

**Lesson** 110

- Do two math problems for SAT practice.
- Add, subtract, multiply, and divide complex numbers. Use the practice problems. (source)
- Check your answers.

**Lesson** 111

- Do two math problems for SAT practice.
- Take the quiz on complex numbers. (original link, click on quiz)
- Check your answers.
- Record your score out of 20.

**Lesson** 112

- Do two math problems for SAT practice.
- Go through this page on the relationship between the discriminant and the graph of the quadratic equation.
- What can be observed about the solutions to a quadratic equation based on the discriminant? (3 answers)
- Use the video lessons on the quadratic formula and the discriminant. Try to solve the equations before they do. Use the videos to make sure you got the correct answer.

**Lesson** 113

- Do two math problems for SAT practice.
- Use the video lesson on solving quadratic equations using the quadratic formula, complex solution.
- Take the quiz.
- Record your score out of 5.

**Lesson** 114

- Do two math problems for SAT practice.
- Do the warm-up on the quadratic formula and discriminant.
- Record up to 3 points for up to three correct answers.
- Take the quiz on the sum and product of roots.
- Record your score out of 5. (potential for an extra credit point)
- Review solving by factoring.

**Lesson** 115

- Do two math problems for SAT practice.
- Do the warm-up on the sum and product of roots.
- Record up to 3 points for up to three correct answers.
- Take the quiz on graphing parabolas.
- Use the lessons if necessary.
- Check your answers. Score up to 2 points each.
- Record your score out of 6. (potential for extra credit)

**Lesson** 116

- Do two math problems for SAT practice.
- Read the lesson on graphing quadratic inequalities and try the practice problem.
- Take the quiz on graphing quadratic inequalities.
- Record your score out of 3.

**Lesson** 117

- Do two math problems for SAT practice.
- Use the following exercises to review for a quiz.

**Lesson** 118(*)

- Do two math problems for SAT practice.
- Continue your review with this exercise on graphing quadratic inequalities.
- (*)Take your quiz.
- Check your answers.
- Record your score out of 5.

**Lesson** 119

- Do two math problems for SAT practice.
- Watch the video lesson on the distance formula.
- Do questions one through five at the bottom of the page. Use the lesson on the page as necessary.

**Lesson** 120

- Do two math problems for SAT practice.
- Read the lesson on the midpoint formula.
- Find the midpoint. Answer questions one through seven.

**Lesson** 121

- Do two math problems for SAT practice.
- Use the distance and midpoint formulas to complete these exercises.

**Lesson** 122(*)

- (*)Use this worksheet to take notes while you watch the video.
- Watch the video lesson on conic sections with parabolas.
- Try the quiz.

**Lesson** 123(*)

- (*)Use this worksheet to take notes as you watch the video.
- Watch the video lesson on conic sections and circles.
- Read the lesson on the equation of a circle and answer the questions.

**Lesson** 124

- You may use your notes for these.
- Take quiz on parabolas.
- Record your score out of 10.
- Take the quiz on circles.
- Record your score out of 10.

**Lesson** 125(*)

- (*)Use this worksheet to take notes while you watch the video.
- Watch the video lesson on conic sections with ellipses.
- Try the quiz.

**Lesson** 126(*)

- Look at the images of the conic sections of a cone. (source)
- (*)Use this worksheet to take notes while you watch the video.
- Watch the video lesson on conic sections with hyperbola.

**Lesson** 127

- Take the quiz on ellipses.
- Record your score out of 10.
- Take the quiz on hyperbola.
- Record your score out of 10.

**Lesson** 128

- Watch the video lesson on identifying conics.
- Take the quiz.
- Record your score out of 7.

**Lesson** 129

- Do two math problems for SAT practice.
- Review solving systems of equations algebraically.
- Solve the systems of equations.
- Record your score out of 5. (potential for extra credit)
- Review all of your written quizzes.

**Lesson** 130

- Do two math problems for SAT practice.
- We are going to be focusing again on functions. This is partially review. Then, we will be looking at polynomial functions.
- Review functions with this lesson. Here’s a written lesson.
- Check your understanding.

**Lesson** 131

- Do two math problems for SAT practice.
- Do this lesson on operations on functions.
- Answer the questions at the bottom of the page. The “hard” questions are extra credit.
- Record your score out of 4.

**Lesson** 132

- Do two math problems for SAT practice.
- Use the lesson links to learn about the composition of functions.
- Practice by completing all parts of numbers 1-3.
- Score up to 3 points for problems two and three and up to 4 points for the first problem.
- Record your score out of 10.

**Lesson** 133

- Do two math problems for SAT practice.
- Complete the practice on the composition of functions, completing all parts from questions 4-10.
- There are twenty questions.
- Record your score out of 20.

**Lesson** 134

- Do two math problems for SAT practice.
- Read about the inverse of a function and answer questions 1-3. (If you are up to the challenge, try question 6. Give yourself an extra credit point if you get number 6 correct.)
- NOTE! Don’t worry about the sine, cosine, tangent words. That’s trigonometry.

**Lesson** 135(*)

- (*)Use this worksheet to take notes as you watch the video.
- Watch the video lesson on polynomial functions.
- Take the quiz on polynomial functions.
- Record your score out of 9. (potential for an extra credit point)
- Figure out your third quarter grade. Hold onto your written work. You can use screen shots to show the websites you are using as well. How is your grade? How can you improve it?

**Lesson** 136(*)

- (*)Print out your grading sheet or use the Excel version.
- Do two math problems for SAT practice.
- Learn about increasing and decreasing functions. Try a couple practice problems to check your understanding.
- Learn about asymptotes.
- Learn about vertical and horizontal asymptotes.
- Try the asymptote practice problems. Stop and try it and then watch the solution. There is more than one. Keep going!

**Lesson** 137

- Do two math problems for SAT practice.
- Practice polynomial functions.
- Practice asymptotes.
- Take the quiz and record your score out of 5.

**Lesson** 138

- Do two math problems for SAT practice.
- Learn about the remainder and factor theorems.
- Practice.

**Lesson** 139

- Do two math problems for SAT practice.
- Learn about the fundamental theorem of algebra and answer the first five questions.

**Lesson** 140

- Do two math problems for SAT practice.
- Explore with the graph.
- Practice.
- Take the quiz.
- Record your score out of 5. Take one point off (of 5) for any incorrect answers.

**Lesson** 141

- Do two math problems for SAT practice.
- Read through the lesson on roots and zeros of polynomials.
- Go through the video lesson on the root theorem. Try it along with him. Write it down. Pause. Always do the work yourself as well.

**Lesson** 142

- Do two math problems for SAT practice.
- Go through the video lesson on solving equations with the root theorem. Start the video at the beginning.
- Go through the video lesson on the irrational root theorem.

**Lesson** 143

- Do two math problems for SAT practice.
- Go through the video lesson on finding the imaginary root.
- Go through the video lesson on writing a polynomial from its roots.

**Lesson** 144

- Do two math problems for SAT practice.
- Practice.
- Take the roots and zeros quiz.
- Record your score out of 5. (potential for an extra credit point)

**Lesson** 145

- Do two math problems for SAT practice.
- Do you need a reminder from the lesson on roots and zeros.
- Give it a try. (8.6)

**Lesson** 146

- Do two math problems for SAT practice.
- Read about solving polynomials and answer the first five questions.

**Lesson** 147

- Do two math problems for SAT practice.
- Go through the example of solving polynomials by graphing. You can also learn how to do this on a graphing calculator.
- Go through the example of solving higher-degree polynomials by factoring.

**Lesson** 148

- Do two math problems for SAT practice.
- Go through the example of solving polynomials of higher degrees by factoring.
- Practice.
- Review.

**Lesson** 149

- Do two math problems for SAT practice.
- Take this review quiz and record your score out of 5.
- Read the lesson on factorials.
- Answer the first three questions at the bottom of the page.

**Lesson** 150**(*)**

- Do two math problems for SAT practice.
- (*)Print this worksheet to take notes on while you watch the video.
- Watch the video on permutations.

**Lesson** 151(*)

- Do two math problems for SAT practice.
- (*)Use this worksheet to take notes on while you watch the video.
- Watch the video on combinations.

**Lesson** 152

- Do two math problems for SAT practice.
- Read about the Binomial Theorem. Answer the questions. Do numbers 1-7. You can do numbers 8-10 as extra credit problems.
- Record your score out of 7. (potential for up to 3 points of extra credit)

**Lesson** 153

- Read about Euler’s number and answer the three questions on the bottom of the page.
- Record your score out of 3.
- Give yourself an extra credit point if you can say the first 16 digits of Euler’s number.
- Review permutations and answer the four exercises.
- Record your score out of 4.
- Review combinations and answer the three parts to Example 5.
- Record your score out of 3.

**Lesson**154- Read about sequences.
- Read about finding a pattern in a sequence.
- Answer questions 1-5 at the bottom of the page.
- Record your score out of 5.

**Lesson** 155

- Do two math problems for SAT practice.
- Read about arithmetic sequences.
- Answer the questions at the bottom of the page.
- Record your score out of 9. (The tenth question is an extra credit question.)

**Lesson** 156

- Do two math problems for SAT practice.
- Read about geometric sequences.
- Answer questions 1-7 at the bottom of the page.
- Record your score out 7.

**Lesson** 157

- Do two math problems for SAT practice.
- Read about the Fibonacci Sequence.
- Answer questions 1-5.
- Read this introduction to logarithms or choose the top video from the left sidebar.

**Lesson** 158

- Watch the video tutorial on arithmetic sequences.
- Take the quiz on arithmetic sequences.
- Record your score out of 5. (potential for extra credit)
- Watch the video tutorial on geometric sequences.
- Take the quiz on geometric sequences.
- Record your score out of 5. (potential for extra credit)

**Lesson** 159

- Do these word problems involving arithmetic and geometric sequences and series.
- You can refer to these review lessons if necessary.
- Record your score out of 5. (potential for an extra credit point)
- Practice with the binomial theorem.
- Refer to the review lesson if necessary.
- Record your score out of 5.

**Lesson** 160

- Do the warm-up, presentation (or text), worked examples (as necessary) and practice on exponential functions.
- Record your score out of 5 for the practice.

**Lesson** 161

- Do the review from exponential functions.
- Do the warm-up, presentation, worked examples (as necessary) and practice on logarithmic functions.
- Record your score out of 5 for the practice.
- Your final exam does not include logarithms.

**Lesson** 162

- Do the review from logarithmic functions.
- Do the warm-up, presentation, worked examples (as necessary) and practice on properties of logarithmic functions.
- Record your score out of 5 for the practice.

**Lesson** 163

- Do the review from properties of logarithmic functions.
- Do the warm-up, presentation, worked examples (as necessary) and practice on natural and common logarithms.
- Record your score out of 5 for the practice.

**Lesson** 164

- Do the review from natural and common logarithms.
- Do the warm-up, presentation, worked examples (as necessary) and practice on solving exponential and logarithmic equations.
- Record your score out of 5 for the practice.

**Lesson** 165

- Do the review from solving exponential and logarithmic equations.
- Do the warm-up, presentation, worked examples (as necessary) and practice on mathematical modeling with logarithmic functions.
- Record your score out of 5 for the practice.

**Lesson** 166

- Do the review from mathematical modeling.
- Use the tutoring session.

**Lesson** 167

- Do the warm-up, presentation, worked examples (as necessary) and practice on identifying the six trigonometric functions.
- Record your score out of 5 for the practice.

**Lesson** 168

- Do the review from identifying the trigonometric functions.
- Do the warm-up, presentation, worked examples (as necessary) and practice on right triangle trigonometry.
- Record your score out of 5 for the practice.

**Lesson** 169

- Do the review from right triangle trigonometry.
- Do the warm-up, presentation, worked examples (as necessary) and practice on unit circle trigonometry.
- Record your score out of 5 for the practice.

**Lesson** 170

- Do the review from unit circle trigonometry.
- Do the warm-up, presentation, worked examples (as necessary) and practice on degree and radian measure.
- Record your score out of 5 for the practice.

**Lesson** 171

- Do the review from degree and radian measure.
- Do the warm-up, presentation, worked examples (as necessary) and practice on graphing the sine and cosine functions.
- Record your score out of 5 for the practice.

**Lesson** 172

- Do the review from graphing the sine and cosine functions.
- Do the warm-up, presentation, worked examples (as necessary) and practice on amplitude and period.
- Record your score out of 5 for the practice.

**Lesson** 173

- Do the review from amplitude and period.
- Use the tutoring session.
- Logarithms are not on your final exam.

**Lesson** 174

- One last topic. We’re going to review our data analysis and look at couple new things related to it.
- Review.

**Lesson** 175

- Read about standard deviation and variance and answer the questions.

**Lesson** 176

- Read about z scores.
- Read about calculating z scores.
- Watch the video on finding z scores.
- Practice.

**>Lesson 177**

- Take the quiz on standard deviation and z scores.
- Record your score out of 30.
- Use this test for review. This is a good example of the types of problems that will be on your final.
- Take note of what things you can’t remember. You will have your final exam on Lesson 180.
- In the test it says, “feasible region,” which I didn’t remember from the course (maybe you recognize it). It’s not something new. Here’s one explanation I found online. “Draw all of your lines. According to the inequality, shade above or below for every line. The feasible region, or solution region is a shared region that all of the lines have in common.” The
*apparent solution set*is just what*appears*to be the solution set.

**Lesson 178**

- Study for your final exam on Lesson 180. Review topics that you jotted down yesterday as things you forgot.
- You need to know what the graphs of absolute value equations and inequalities look like, as well as the graphs of different types of functions (or be able to figure out what they look like). Do you remember the types of conic sections? You need to know what arithmetic and geometric sequences are. Can you multiply matrices?
- Relax when you take your exam. If things are worded a little differently than you are used to, don’t flip out! Use your brain and use what you know to answer the question. You know this stuff. You can do it! (And I will give a little leeway in grading since you were not “taught to the test” as other students would have been.

**Lesson 179**

- Study for your final exam on Lesson 180. Review topics that you jotted down yesterday as things you forgot.
- You need to know what the graphs of absolute value equations and inequalities look like, as well as the graphs of different types of functions (or be able to figure out what they look like). Do you remember the types of conic sections? You need to know what arithmetic and geometric sequences are. Can you multiply matrices?
- Relax when you take your exam. If things are worded a little differently than you are used to, don’t flip out! Use your brain and use what you know to answer the question. You know this stuff. You can do it! (And I will give a little leeway in grading since you were not “taught to the test” as other students would have been.

**Lesson** 180

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**Notes: **

I’m not sure this course covers enough trigonometry for the College Algebra CLEP test. Trigonometry and Pre-Calculus is the next course in the math progression.

Here’s a CLEP College Mathematics practice test.