Unit Rates and Ratios 7th Grade

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if you buy 6 apples for $3, the unit rate is $0.50 per apple.

Front

How do you find the unit rate from a total cost?

Back

To find the unit rate from a total cost, divide the total cost by the number of items. For example, if 15 pizzas cost $97.50, the unit rate is $97.50 ÷ 15 = $6.50 per pizza.

Front

What is the unit rate of 3/4 pounds of butter for 3 batches of cookies?

Back

The unit rate is 3/4 ÷ 3 = 1/4 pounds of butter per batch.

Front

How do you calculate miles per hour (unit rate) from distance and time?

Back

To calculate miles per hour, divide the total miles by the total hours. For example, 72 miles in 4 hours is 72 ÷ 4 = 18 miles per hour.

Front

What does the ratio 3:5 mean?

Back

The ratio 3:5 means that for every 3 parts of one quantity, there are 5 parts of another quantity. It can also be expressed as a fraction 3/5.

Front

How can you determine if two ratios are equivalent?

Back

Two ratios are equivalent if they can be simplified to the same fraction. For example, 15:25 and 3:5 are equivalent because both simplify to 3/5.

Front

What is the equivalent ratio of 3:5 when both terms are multiplied by 2?

Back

The equivalent ratio is 6:10.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

What is the unit rate of 60 miles in 2 hours?

Back

The unit rate is 60 ÷ 2 = 30 miles per hour.

Front

If a car travels 150 miles on 5 gallons of gas, what is the unit rate in miles per gallon?

Back

The unit rate is 150 ÷ 5 = 30 miles per gallon.