Solve 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 isolate 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 result?

Back

The result is a*d = b*c.

Front

What is the first step in solving the proportion 3/4 = x/8?

Back

The first step is to cross-multiply: 3 * 8 = 4 * x.

Front

What is the solution to the proportion 3/4 = x/8?

Back

x = 6.

Front

If 5/x = 10/20, how do you solve for x?

Back

Cross-multiply to get 5 * 20 = 10 * x, then solve for x.

Front

What is the value of x in the proportion 5/x = 10/20?

Back

x = 10.

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 do you find a unit rate from a proportion?

Back

To find a unit rate, divide both terms of the ratio by the denominator.