Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and set the products equal to each other.

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

If the ratio of completed passes to attempted passes is 7 to 8, how do you find the number of completed passes if 24 passes were attempted?

Back

Set up the proportion: 7/8 = x/24, then cross-multiply to find x.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit.

Front

How do you find the unit rate from a given ratio?

Back

Divide the first quantity by the second quantity to find the unit rate.

Front

If Emma takes 18 minutes to type 14 pages, how do you find the time for 77 pages?

Back

First, find the unit rate (time per page), then multiply by 77.

Front

What is the relationship between kilometers and miles?

Back

1 kilometer is approximately equal to 0.621371 miles.

Front

How do you convert kilometers to miles?

Back

Multiply the number of kilometers by 0.621371 to get the equivalent miles.

Front

If 7 sandwich rolls cost $1.68, how do you find the cost of 29 rolls?

Back

First, find the cost per roll, then multiply by 29.