Unit Rates

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 single unit. For example, if you travel 60 miles in 2 hours, the unit rate is 30 miles per hour.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the first quantity by the second quantity. For example, if you have 150 miles in 3 hours, the unit rate is 150 ÷ 3 = 50 miles per hour.

Front

If Dr. Morrison drove 340 miles in 5 hours, what was his rate in miles per hour?

Back

Dr. Morrison's rate was 340 miles ÷ 5 hours = 68 miles per hour.

Front

If Dr. Morrison drove 198 miles in 3 hours, what was his rate in miles per hour?

Back

Dr. Morrison's rate was 198 miles ÷ 3 hours = 66 miles per hour.

Front

What is the difference in rates between Dr. Morrison's Saturday and Sunday drives?

Back

The difference is 68 miles per hour (Saturday) - 66 miles per hour (Sunday) = 2 miles per hour.

Front

Which of the following is a unit rate: 100 miles / 3 hours, 35 miles / 1 hour, or 70 miles / 2 hours?

Back

35 miles / 1 hour is a unit rate because it compares miles to hours with the hours as 1.

Front

Nila knit a total of 9 centimeters of scarf over 3 nights. What is her unit rate of knitting per night?

Back

Nila's unit rate is 9 cm ÷ 3 nights = 3 cm per night.

Front

If Nila continues knitting at the same rate for 5 nights, how many centimeters will she have knit?

Back

Nila will have knit 3 cm/night × 5 nights = 15 cm.

Front

Krystyn walked a total of 10 kilometers by making 2 trips to school. What is her unit rate of kilometers per trip?

Back

Krystyn's unit rate is 10 km ÷ 2 trips = 5 km per trip.

Front

If Krystyn wants to walk a total of 15 kilometers, how many trips will she need to make?

Back

Krystyn will need to make 15 km ÷ 5 km/trip = 3 trips.