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 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 2/3 = x/12?

Back

The first step is to cross-multiply: 2 * 12 = 3 * x.

Front

What is the solution to the proportion 2/3 = x/12?

Back

x = 8.

Front

What is the value of k in the proportion 4/k = 2/8?

Back

k = 16.

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.

Front

What is an example of a real-world application of proportions?

Back

Proportions can be used to determine the scale of a map or recipe adjustments.

Front

What is the relationship between ratios and proportions?

Back

A ratio compares two quantities, while a proportion states that two ratios are equal.