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 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

What is the first step in solving the proportion 3/x = 12/4?

Back

The first step is to cross-multiply: 3 * 4 = 12 * x.

Front

What is the solution to the proportion 3/x = 12/4?

Back

The solution is x = 1.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How can you express a ratio?

Back

A ratio can be expressed in three ways: as a fraction, with a colon (e.g., 3:4), or with the word 'to' (e.g., 3 to 4).

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; a proportion states that two ratios are equal.