Rates and Unit Rates

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is 1. For example, if you travel 60 miles in 1 hour, the unit rate is 60 miles per hour.

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 a 6-pack of soda costs $2.40, the unit rate is $2.40 ÷ 6 = $0.40 per can.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

What is an equivalent ratio?

Back

Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different. For example, 1:2 and 2:4 are equivalent ratios.

Front

How do you express a ratio?

Back

A ratio can be expressed in three ways: using a colon (e.g., 3:4), as a fraction (e.g., 3/4), or with the word 'to' (e.g., 3 to 4).

Front

What is the difference between a rate and a unit rate?

Back

A rate compares two different quantities, while a unit rate compares a quantity to one unit of another quantity.

Front

If a car travels 150 miles in 3 hours, what is the unit rate in miles per hour?

Back

The unit rate is 150 miles ÷ 3 hours = 50 miles per hour.

Front

What is the ratio of 4 red apples to 3 green apples?

Back

The ratio is 4 red apples to 3 green apples.

Front

How can you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor. For example, the ratio 8:12 can be simplified to 2:3.

Front

What is a rate?

Back

A rate is a ratio that compares two different kinds of quantities, such as speed (miles per hour) or price (cost per item).