Name______

Math 78 Study Guide for Unit Four

Your unit test will be given on Friday, January 22, 2010. You should use this study guide, the handouts that you were given in class, notes that you took in class, and your green Mathematics textbook, as well as the online textbooks that are on the Holt website. If you need your user id and password for the Holt website, please let me know.

Part I: Knowledge and Understanding Math Chapter 11, lesson 4 in green Mathematics 3 textbook (hard copy and on-line); All of Chapter 3 in Algebra I book (online only)

  1. What is the difference between an equation and an inequality?
  1. T or F Absolute Value equations and inequalities can have no solution, one solution, or many solutions.

Part II: Proficiency of Skills Chapter 11-2, 11-3, and 11-4 in green Mathematics 3 textbook; Algebra I online textbook, Lessons 2-2, 2-3, 2-4 (online only).

3. Solve for x: 16x -8y – 2z = 32

4. Solve for y: 10(y+2) = 8y + 10

5. On p. 598 in your green textbook, you will find the “Ready to go On” quiz. All of these problems are similar to ones that will be on the test. You may work all of them if you want to, but you must choose at least three problems from each section. If you do not have your textbook, please let me know immediately.

6. Solve for x: a. l x + 5 l = 7 b. l x + 5 l = -7

7. Solve for x: a. -4x ‹ 32 b. -3x + 2 ≥ 35

8.Find the solutions for the following absolute value inequality:

l9 – 4xl › 5.

9. Marvin measured the length of a board that he was going to cut into 16 equal parts. If each part had to be less than 4 inches, how long could the board be that Marvin measured? Write an inequality for this problem and solve.

10. On page 612 of your green textbook, you will find a “Ready to go on” quiz for inequalities. You should work at least three problems from Sections 11-4, and 11-5. Do not do section 11.6 since we will cover that concept later in the semester.

Applications of Math and Problem Solving

11. A taxi charges $2.05 per ride and $0.20 for each mile or part of a mile traveled. Write an inequality and solve to find out how many miles could you travel if your fare had to total less than $10.00.

12. Coraline’s long distance company charges $5.95 per month plus $0.06 for every minute she talks. If Coraline can only spend $30.00 or less each month for long distance, what is the maximum number of minutes she can call long distance each month?

13. A speech is given in a gymnasium that can hold no more than 650 people. A permanent bleacher is already in the gym and can seat 136 people. The event organizers have decided that they can set up 25 rows of chairs. At most, how many chairs can be in each row?

14. Find all values of x that make l x- 5 l less than 11.

15. Which is NOT a solution of the inequality 5 – X ‹ 3 ?

a. 3 b. 4 c. -1 d. 2