Goal: to Review Material in Chapter 7

Goal: To review material in chapter 7.

Thinking Skill: Demonstrate understanding of concepts.

______1. If f(x)= and g(x)=3x, what is ?

a. b. c. d.

______2. Which expression is NOT equivalent to

a. b. c. d.

______3. Which expression is NOT equivalent to

a. b. c. d.

______4. How do you write with a rationalized denominator?

a. -1b. c. d.

______5. If what is ?

a. b. 10c. 14d.

______6. How can you write with a rationalized denominator

a. b. c. d.

______7. Which of the following expressions is in simplified form?

a.b. c.d. y=

______8. Which statement is NOT true?

a. b. c. d.

______9. If f(x)= and g(x)=3x, what is ?

a. b.c. d.

______10 Which expression is NOT equivalent to

a. b. c. d.

11. Simplify the expression completely. CHECK for extraneous solutions.

a. b.

12. Simplify the expression completely. CHECK for extraneous solutions

a. b.

13. Find the inverse. Write the domain and range of both the function and its inverse.

a. y = 5x – 1b. y = 4x2 – 2

14. Graph the following using transformations. Then, state the domain and range.

a. b.

15. You purchase a pair of shoes on sale for 50% off. You also have a $15 off coupon.

1. Write a function f(x) to represent the 50% off price of the shoes.

1. Write a function g(x) to represent the final cost of an item (not necessarily on sale) after applying your coupon.

1. Write a composite function for the price of your shoes if the 50% discount is taken first and the coupon is used second.

1. Write a composite function for the price of your shoes if the coupon is used first and the discount is applied second.

1. If shoes cost $75, is it better to use the discount first? Or, is it better to use the coupon first?