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 result?

Back

The result is ad = bc.

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

If 5/8 = x/32, how do you find x?

Back

Cross-multiply to get 5 * 32 = 8 * x, then solve for x.

Front

What is the value of x in the proportion 5/8 = x/32?

Back

x = 20.

Front

How can proportions be used in real-life situations?

Back

Proportions can be used to compare quantities, such as in recipes or scaling models.

Front

What is a direct variation?

Back

Direct variation is a relationship between two variables where their ratio is constant.