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

What does cross-multiplication mean?

Back

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

Front

If a/b = c/d, what is the cross-multiplication equation?

Back

The cross-multiplication equation is a * d = b * c.

Front

Solve the proportion: 2/3 = x/9

Back

x = 6.

Front

Solve the proportion: 4/x = 8/16

Back

x = 2.

Front

What is the first step in solving a proportion?

Back

The first step is to set the two ratios equal to each other.

Front

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

Back

x = 10.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions show that two ratios are equal.

Front

Solve for x: 3/x = 6/12

Back

x = 6.