Grade 7 Rates and Unit Rates

Front

What is a rate?

Back

A rate is a ratio that compares two quantities with different units, such as miles per hour or dollars per item.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, such as 60 miles per hour or $5 per item.

Front

How do you calculate a unit rate from a given rate?

Back

To calculate a unit rate, divide the first quantity by the second quantity to find the amount per one unit of the second quantity.

Front

What is the formula to find the rate?

Back

Rate = Total Quantity / Time taken.

Front

If Jabiz writes 5 ¼ pages in 3 hours, how do you find the pages he writes per hour?

Back

Convert 5 ¼ to an improper fraction (21/4), then divide by 3 to get 21/4 ÷ 3 = 21/12 = 1.75 pages per hour.

Front

What is the ratio of boys to girls if there are 13 boys and 10 girls?

Back

The ratio of boys to girls is 13 to 10.

Front

How do you express a ratio?

Back

A ratio can be expressed in three ways: as a fraction (13/10), with a colon (13:10), or in words (13 to 10).

Front

What is the difference between a rate and a ratio?

Back

A rate compares two quantities with different units, while a ratio compares two quantities with the same unit.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator.

Front

What is the unit rate of Candace painting 91 portraits in 7 weeks?

Back

Candace paints 13 portraits per week, which is the unit rate.