Rates and Unit Rates Review

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 one unit. For example, if a car travels 60 miles in 1 hour, the unit rate is 60 miles per hour.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the total quantity by the number of units. For example, if you earn $30 for 5 hours of work, the unit rate is $30 ÷ 5 hours = $6 per hour.

Front

If Alycia earned $20.40 in 3 hours, what is her unit rate?

Back

$6.80 per hour.

Front

How do you find the time it takes to travel a certain distance at a given speed?

Back

Use the formula: Time = Distance ÷ Speed. For example, if a rider travels 2 miles in 12 minutes, to find the time for 5 miles, first find the speed (2 miles ÷ 12 minutes = 0.1667 miles/minute) and then use the formula.

Front

If a horseback rider travels 2 miles in 12 minutes, how long does it take to travel 5 miles?

Back

30 minutes.

Front

What is the price per can if a store sells 12 cans of beans for $27?

Back

To find the price per can, divide the total price by the number of cans: $27 ÷ 12 cans = $2.25 per can.

Front

If a store sells 12 cans of beans for $27, what is the price of 7 cans?

Back

$15.75.

Front

What does it mean for two rates to be equivalent?

Back

Two rates are equivalent if they represent the same relationship between quantities. For example, 6 miles per gallon is equivalent to 18 miles for 3 gallons.

Front

Which rate is equivalent to 6 miles per gallon?

Back

18 miles to 3 gallons.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another. For example, the ratio of 4 apples to 2 oranges can be written as 4:2.