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 unknown variable.

Front

What does cross-multiplication involve?

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

What is the first step in solving the proportion 3/x = 6/12?

Back

The first step is to cross-multiply: 3 * 12 = 6 * x.

Front

Solve the proportion: 4/x = 8/16.

Back

x = 2.

Front

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

Back

x = 5.

Front

If 2/3 = x/9, what is x?

Back

x = 6.

Front

What is the solution to the proportion 7/x = 14/28?

Back

x = 14.

Front

How can you check if your solution to a proportion is correct?

Back

You can check by substituting the value back into the original proportion to see if both sides are equal.