Solving Proportions (Algebra)

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 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 result?

Back

The result is a*d = b*c.

Front

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

Back

Cross-multiply to get 3*12 = 6*x.

Front

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

Back

x = 6.

Front

What is the definition of a ratio?

Back

A ratio is a comparison of two quantities by division.

Front

How can you express a ratio in fraction form?

Back

A ratio can be expressed as a fraction by placing the first quantity over the second quantity.

Front

What is an example of a proportion?

Back

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

Front

What is the relationship between ratios and proportions?

Back

Ratios are the building blocks of proportions; proportions compare two ratios.