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 two ratios and then solve for the unknown variable.

Front

What does it mean for two ratios to be proportional?

Back

Two ratios are proportional if they can be expressed as equivalent fractions.

Front

If 3/4 = x/16, what is x?

Back

x = 12.

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If 5/10 = x/20, what is x?

Back

x = 10.

Front

What is the first step in solving a proportion?

Back

Identify the two ratios that are being compared.

Front

If 2/3 = 4/x, what is x?

Back

x = 6.

Front

What is an example of a real-world proportion?

Back

If a recipe calls for 2 cups of flour for every 3 cups of sugar, the ratio of flour to sugar is a proportion.

Front

How can you check if two ratios are proportional?

Back

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