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 4 pages take 18 minutes, how long will 30 pages take?

Back

135 minutes.

Front

What does it mean if two ratios are proportional?

Back

It means that the two ratios are equivalent or have the same value.

Front

How do you simplify the ratio of 20 to 25?

Back

The simplified ratio is 4 to 5.

Front

What is the cross-multiplication method?

Back

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

Front

What is a unit rate?

Back

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

Front

What is the relationship between ratios and proportions?

Back

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

Front

If a:b = 2:3, what is the value of b if a = 8?

Back

b = 12.

Front

What is the first step in solving for x in a proportion?

Back

Identify the two ratios and set them equal to each other.