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 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

What is the solution to the proportion 3/x = 6/12?

Back

The solution is x = 6.

Front

What is an example of a proportion?

Back

An example of a proportion is 1/2 = 2/4.

Front

What does it mean if two ratios are equivalent?

Back

If two ratios are equivalent, they represent the same relationship between quantities.

Front

How can you check if two ratios are proportional?

Back

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

Front

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

Back

The value of k is 10.