Proportional Relationships & Unit Rates Review

If a snail can move  $\frac{3}{10}$    of a meter every  $\frac{1}{12}$   hour, what is the speed of the snail, in meters per hour?

•  $\frac{1}{40}$  

•  $\frac{5}{18}$  

•  $1\frac{1}{2}$  

•  $3\frac{3}{5}$  

Tags

CCSS.7.NS.A.2

CCSS.7.NS.A.3

CCSS.7.RP.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

Sara used  $4\frac{1}{2}$    packs of pencils in the first  $\frac{1}{4}$   of the year. At what rate is Sara using pencils? 

•  $1\frac{1}{8}$  packs per year

• 6 packs per year

•  $16\frac{1}{8}$  packs per year

• 18 packs per year

Tags

CCSS.7.RP.A.1

CCSS.7.RP.A.2

Amy jogs  $\frac{1}{3}$   of a mile in  $\frac{1}{15}$  of an hour, while John takes of  $\frac{1}{30}$  an hour to jog  $\frac{1}{5}$   of a mile. If they continued at this rate, who would jog farther in one hour and by how much?

• Amy would jog 1 mile farther than John.

• John would jog 1 mile farther than Amy. 

• Amy would jog 2 miles farther than John.

• John would jog 2 miles farther than Amy. 

Tags

CCSS.7.EE.B.3

CCSS.7.NS.A.2

CCSS.7.NS.A.3

CCSS.7.RP.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

Which equation represents the proportional relationship shown in this chart? 

•  $y=2x$  

•  $y=8x$  

•  $2y=x$  

•  $8y=x$  

Tags

CCSS.7.RP.A.2

CCSS.7.RP.A.3

A 14-pound bag of dog food costs $16.24, and a 30-pound bag of dog food costs $33.30. Which statement is true and can be used to determine the better buy?

• The unit rate per pound of a 14-pound bag is $0.05 less than the unit rate of a 30-pound bag.

• The unit rate per pound of a 14-pound bag is $0.05 more than the unit rate of a 30-pound bag.

• The unit rate per pound of a 14-pound bag is $0.50 less than the unit rate of a 30-pound bag.

• The unit rate per pound of a 14-pound bag is $0.50 more than the unit rate of a 30-pound bag.

Tags

CCSS.7.RP.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

Nicholas is typing a book report at an average speed of 30 words per minute. Which equation could Nicholas use to find t, the amount of time in minutes he will spend typing, if his report has w words?

• t = 30w

• w = 30t

• t = w + 30

• w = t + 30

Tags

CCSS.7.EE.B.4

The graph shows the cost of bananas at a supermarket based on the weight of the bananas in pounds.

• $0.40

• $0.50

• $2.00

• $2.50

Tags

CCSS.7.RP.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

The table of values below represents a proportional relationship. What is the value of the missing number?

• 8

• 10

• 14

• 122.5

Tags

CCSS.7.RP.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3

The graph below shows the amount of sugar required to make different-sized batches of cookies. Which statement is true about the graph of the line?

• The point (3, 2) lies on the graph and indicates that 24 cookies can be made from 3 cups of sugar.

• The point (4, 6) lies on the graph and indicates that 48 cookies can be made from 6 cups of sugar.

• The point (2, 3) lies on the graph and indicates that 36 cookies can be made from 2 cups of sugar.

• The point (6, 4) lies on the graph and indicates that 64 cookies can be made from 6 cups of sugar.

Tags

CCSS.7.RP.A.1

CCSS.7.RP.A.2

The distances traveled by car A and car B after x hours are represented by the graph and table below.

• The speed of car A is twice the speed of car B.

• The speed of car B is twice the speed of car A.

• The speed of car A is 2.4 times the speed of car B.

• The speed of car B is 2.4 times the speed of car A.

Tags

CCSS.7.RP.A.1

CCSS.7.RP.A.2

CCSS.7.RP.A.3