Chapter 5 review

Exponents & Expressions

100

What is 5⁴ ?

625

200

Write 4x4x4x4x4x4x4 as an exponent

4⁷

300

(1/2)² * (3 * 5 -3) + 1³

4

400

What step should be performed first to evaluate the expression 

3² * (1 1/2 + 4) -12 * 4

1 1/2 + 4

500

• Mel is selling for a new skincare line. She sells face wash for $28, face lotion for $23, and an exfoliating scrub for $32.18. She also sells a sample size makeup trial for $3. At her first skincare party, Mel sold 5 bottles of face wash, 2 lotions, and 3 sample size makeup trials. Write an expression to represent the total cost for the products sold.

• (5 ∙ 28) + (2 ∙ 23) + (3 ∙ 3)

Algebraic expressions

100

Write an expression that represents ten fewer than the librarian's number of books, b

b-10

200

Write an expression to represent each verbal phrase: ten times the number of books, b, decreased by four

10b-4

300

16a + b

a = 3/4

b=3

15

400

2 and 1/6 divided by 1/2

4 and 1/3

500

• Jared and Missy are buying refreshments for their class party. Jared is buying a variety case of juice for $20. Missy is buying cartons of grape juice for $2 and cartons of apple juice for $3. Evaluate the expression 2g + 3a when g = 4 and a = 8 to find the cost of buying 4 cartons of grape juice and 8 cartons of apple juice. What is the difference in price Missy and Jared paid? Show your work.

2g + 3a

2x4 + 3x8

8 + 24

32

32-20 = 12

Factors and multiples

100

Find the GCF of 20 and 12

4

200

Find the GCF of 48 and 36

12

300

Use the GCF to factor 28x+42

14(2x+3)

400

Use the distributive property to find 12 * 4 and 1/6

50

500

• Two students are rewriting the expression 9(5 + h). Jonny rewrites the expression as 45 + h. Jordan rewrites the expression as 45 + 9h. Which student is correct?

Jordan

Equivalent algebraic expressions

100

are 3x - 4 and 4 - 3x equivalent?

no

200

Are 3x² + 2 + 3x and 4x² + 2x + 2 + x - x² Equivalent?

Yes

300

Simplify the expression 3a² + 1/4a + 3 + a² + 4 + 1/4a

4a² + 1/2a + 7

400

1/2x + 1 1/2y + x + 2 and 1/2y + 1/2(3x + 4) + x

Are they equivalent?

No

500

• Jamison is playing a video game. In the game, you earn points for collecting different items. Each item earns a different amount of points based on the player's experience level, b. The number of times Jamison collected each item and the points earned per item are shown in the table

Items:          Number of items collected          Points per item

Coins            8                                              9b

Shells            6                                             1/2b

Flowers          3                                             1/3b

• Suppose you also earn 15 bonus points each time you complete a mini-game. If Jamison completed two mini-games, write an expression in simplest form that shows the total number of points Jamison earned.

76b + 30