Ratios
Rate
EVALUATION EXPRESSION
Positive and negative numbers
Exponents
100

Gina is putting together a desk. There are 14 screws and 8 pieces of wood. What is the ratio of screws to pieces of wood?


 A. 14:1
 B. 1:14
 C. 7:4
 D. 4:7


C

7:4

100

A car wash detailed 195 cars in 5 hours. At what rate did the car wash detail cars in cars per hour?


 A. 40 cars per hour
 B. 38 cars per hour
 C. 39 cars per hour
 D. 37 cars per hour


39 cars per hour

100

Simplify:


75 - 2 × (5 - 2)2


 A. 657
 B. 57
 C. 63
 D. 438


57

100

Which number below best represents a credit of $38.79?


 A. -28.79
 B. 28.79
 C. -38.79
 D. 38.79


 38.79

100

Simplify the following expression.



 A. 1,024
 B. 1
 C. 18
 D. 256


B

200

Ella's purse has different accessories.

  • 9 hair clips
  • 2 headbands
  • 3 barrettes
  • 4 hair ties

Which statement is correct?


 A. For every hair clip, there are three barrettes.
 B. For every headband, there are three hair ties.
 C. For every headband, there are two hair ties.
 D. For every barrette, there are two hair clips.


C. For every headband, there are two hair ties.

200

Drew painted his uncle's barn on Saturday. It took him 4 hours to paint the whole barn, and his uncle paid him 108 dollars for his work. What was Drew's pay rate, in dollars per hour?


 A. 27 dollars per hour
 B. 28 dollars per hour
 C. 30 dollars per hour
 D. 25 dollars per hour


A

200

Subtract 39 from 22 raised to the 8th power; then multiply by 3.

Which of the following expressions matches the sentence above?


 A. 228 × 3 - 39
 B. 228 - 39 × 3
 C. (228 - 39) × 3
 D. (22 - 39)8 × 3


(228 - 39) × 3

200


Which number below best represents a gain of $4.94?
 A. 14.94
 B. -4.94
 C. -14.94
 D. 4.94



4.94
200

Simplify the following expression.



 A. 1
 B. 81
 C. 9
 D. 343


C.9

300


The employees of a company have different hobbies.
  • 14 men who like playing golf
  • 6 women who like playing golf
  • 2 men who like running
  • 18 women who like running
Which statement is correct?
 A. For every woman who likes running, 7 women like playing golf.
 B. For every man who likes running, 3 men like playing golf.
 C. For every woman who likes running, 9 women like playing golf.
 D. For every man who likes running, 7 men like playing golf.



D. For every man who likes running, 7 men like playing golf.

300

Jaime wants to know how fast she can type, so she times herself as she types a paper. The paper has 198 words in it, and Jaime types it in 6 minutes. What is her typing rate, in words per minute?


 A. 34 words per minute
 B. 35 words per minute
 C. 33 words per minute
 D. 36 words per minute


C

300

Simplify.


3.3 × 32 + 9 ÷ 3 - (3.4 + 4.5)


 A. 20.8
 B. 34.8
 C. 24.8
 D. 34.6


24.8

300

hich number below best represents a negative charge of 290?


 A. 390
 B. -390
 C. -290
 D. 290


 -290

300


Evaluate the expression given below.

 A.
 B.
 C.
 D.



C

400


Daniel mixed 6 tablespoons of chocolate syrup with 2 pints of milk to make chocolate milk. The tape diagram below shows the relationship between the tablespoons of chocolate syrup and pints of milk used in the chocolate milk.

Use the tape diagram to determine the correct ratio.
 A. The ratio of the tablespoons of chocolate syrup to pints of milk is 1:3.
 B. For each pint of milk, there are 3 tablespoons of chocolate syrup.
 C. For each tablespoon of chocolate syrup, there are 3 pints of milk.
 D. There are 3 tablespoons of chocolate syrup for every 2 pints of milk.



 B. For each pint of milk, there are 3 tablespoons of chocolate syrup.
400


Curtis decided to go on a road trip to Canada. On the first day of his trip, he drove for 14 hours and traveled 952 miles. At what rate did he travel on the first day, in miles per hour?
 A. 71 miles per hour
 B. 65 miles per hour
 C. 68 miles per hour
D. 69 miles per hour



68 miles per hour
400

Add 21 and 19; then, raise the sum to the 3rd power.

Which of the following expressions matches the sentence above?


 A. (21 + 19)3
 B. (21 + 19) × 3
 C. 21 + 193
 D. (21 × 19)3


(21 + 19)3

400

Which letter represents the opposite of  on the number line below?



 A. M
 B. N
 C. K
 D. L


B.   N

400

Evaluate the expression given below.



 A.
 B.
 C.
 D.


D

500


Select ALL the correct answers.

Jane bought 4 paintbrushes for $7.

Using the picture shown, find the ratios that represent the situation.

  •  The ratio of dollars to paintbrushes is 7:11.
  •  The ratio of paintbrushes to dollars is 4 to 7.
  •  The ratio of dollars to paintbrushes is 4 to 11.
  •  The ratio of paintbrushes to dollars is 4:7.
  •  The ratio of paintbrushes to dollars is 7 to 4.
  •  The ratio of dollars to paintbrushes is 7:4.



The ratio of paintbrushes to dollars is 4:7.

The ratio of paintbrushes to dollars is 4 to 7.

The ratio of dollars to paintbrushes is 7:4.

500


Ramona went to a theme park during spring break. She was there for 8 hours and rode 24 rides. At what rate did Ramona ride rides in rides per hour?
 A. 4 rides per hour
 B. 5 rides per hour
 C. 3 rides per hour
 D. 2 rides per hour



3 rides per hour

500


Simplify.

68.39 - 2.16 × (6.55 - 4.55)3
 A. 51.11
 B. 529.84
 C. 55.43
 D. 59.11



51.11

500


Which letter represents the opposite of  on the number line below?

 A. J
 B. M
 C. K
 D. L



A. J

500

50

1

M
e
n
u