7th Grade Unit Rates Worksheet & Printable

If y is proportional to x, and y = 4 when x = 6, what is the constant of proportionality between them (the ratio of x to y)?

A

4

6

B

2

3

C

3

2

D

3

1

Standard: 7.RP.A.1

Domain: Ratios & Proportional Relationships

Theme: Analyze proportional relationships and use them to solve real-world and mathematical problems

Description: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction (1/2)/(1/4) miles per hour, equivalently 2 miles per hour.

Which of the following sets of ordered pairs shows a proportional relationship?

A

{(4, 2), (8, 3), (12, 4), (16, 5)}

B

{(1, 2), (2, 3), (3, 4), (4, 5)}

C

{(10, 2), (20, 4), (30, 6), (40, 8)}

D

Standard: 7.RP.A.1

Domain: Ratios & Proportional Relationships

Theme: Analyze proportional relationships and use them to solve real-world and mathematical problems

Description: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction (1/2)/(1/4) miles per hour, equivalently 2 miles per hour.

One third of a quart of paint covers one fourth of a basketball court. How much paint does it take to paint the entire basketball court?

A

one and one-third quarts

B

one quart

C

one and one-fourth quarts

D

one and three-fourths quarts

Standard: 7.RP.A.1

Domain: Ratios & Proportional Relationships

Theme: Analyze proportional relationships and use them to solve real-world and mathematical problems

Description: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction (1/2)/(1/4) miles per hour, equivalently 2 miles per hour.

John eats a bowl of cereal for 3 of his 4 meals each day. He finishes two gallons of milk in eight days. How much milk does John use for one bowl of cereal? (Assume he only uses the milk for his cereal.)

A

One-twelfth of a gallon of milk

B

One cup of milk

C

Two cups of milk

D

One-sixth of a gallon of milk

Standard: 7.RP.A.1

Domain: Ratios & Proportional Relationships

Theme: Analyze proportional relationships and use them to solve real-world and mathematical problems

Description: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction (1/2)/(1/4) miles per hour, equivalently 2 miles per hour.

Mary uses one third of a gallon of gasoline driving back and forth to work every day. How much gasoline does she use in 30 days?

A

8 gallons

B

10 gallons

C

9 gallons

D

11 gallons

Standard: 7.RP.A.1

Domain: Ratios & Proportional Relationships

Theme: Analyze proportional relationships and use them to solve real-world and mathematical problems

Description: Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction (1/2)/(1/4) miles per hour, equivalently 2 miles per hour.


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