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 it mean to cross-multiply?

Back

Cross-multiplying 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 3/4 = x/12?

Back

Cross-multiply to get 3 * 12 = 4 * x.

Front

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

Back

x = 9.

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 solution to the proportion 5/8 = x/32?

Back

x = 20.

Front

Hunter buys 36 baseball cards for $18. How many baseball cards can Troy buy if he has $9?

Back

Troy can buy 18 baseball cards.

Front

What is the relationship between the amounts in a proportion?

Back

The amounts in a proportion maintain a constant ratio.