Unit Rate

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 a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you calculate the unit price of an item?

Back

To calculate the unit price, divide the total cost of the item by the number of units. For example, if 8 ribbons cost $1.52, the unit price is $1.52 ÷ 8 = 19 cents per ribbon.

Front

If a dog eats 0.5 pounds of food every 50 minutes, how much will it eat in 200 minutes?

Back

2 pounds. (0.5 pounds per 50 minutes means 2 pounds in 200 minutes.)

Front

What is the ratio of cupcakes to cookies if there are 10 cupcakes and 60 cookies?

Back

1:6. (The ratio is simplified from 10:60.)

Front

How many sit-ups does Sandra do in 1 minute if she does 200 sit-ups in 5 minutes?

Back

40 sit-ups. (200 sit-ups ÷ 5 minutes = 40 sit-ups per minute.)

Front

If a cupcake has 240 calories for 3 servings, how many calories are in 5 servings?

Back

400 calories. (240 calories ÷ 3 servings = 80 calories per serving; 80 calories × 5 servings = 400 calories.)

Front

What is the first step in solving a unit rate problem?

Back

Identify the two quantities being compared and determine the total amount for one of the quantities.

Front

How can you express a ratio?

Back

A ratio can be expressed in three ways: as a fraction (10/60), with a colon (10:60), or in words (10 to 60).

Front

What does it mean to simplify a ratio?

Back

To simplify a ratio means to reduce it to its lowest terms by dividing both quantities by their greatest common factor.

Front

What is the unit rate of 150 miles in 3 hours?

Back

50 miles per hour. (150 miles ÷ 3 hours = 50 miles/hour.)