Solving Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Tags

CCSS.7.RP.A.2A

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Tags

CCSS.7.RP.A.2C

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.

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

Front

If a/b = c/d, what is the cross-multiplication result?

Back

The result is ad = bc.

Tags

CCSS.4.NF.A.1

CCSS.5.NF.B.5B

Front

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

Back

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

Tags

CCSS.7.RP.A.2C

Front

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

Back

x = 9.

Tags

CCSS.7.RP.A.2C

Front

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

Back

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

Tags

CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

Front

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

Back

x = 20.

Tags

CCSS.7.RP.A.2C

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.

Tags

CCSS.6.RP.A.3B

Front

What is the relationship between the amounts in a proportion?

Back

The amounts in a proportion maintain a constant ratio.

Tags

CCSS.7.RP.A.2A