Solving 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 terms and then solve for the variable.

Front

If 2 miles takes 23 minutes, how long will 10 miles take at the same pace?

Back

115 minutes.

Front

If Bobby drove 110 miles using 5 gallons of gas, how many miles can he drive with 16 gallons?

Back

352 miles.

Front

What is the first step in solving a proportion?

Back

Identify the two ratios that form the proportion.

Front

What does it mean to cross-multiply?

Back

Cross-multiplying means multiplying the numerator of one ratio by the denominator of the other ratio.

Front

What is the formula for finding a missing value in a proportion?

Back

If a/b = c/d, then ad = bc.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.

Front

How can you check if two ratios are proportional?

Back

You can check by cross-multiplying and seeing if the products are equal.

Front

What is the relationship between ratios and proportions?

Back

Ratios are comparisons of two quantities, while proportions state that two ratios are equal.