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 variable.

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CCSS.7.RP.A.2C

Front

What does cross-multiplication involve?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio.

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CCSS.6.RP.A.3A

Front

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

Back

The cross-multiplication equation is a*d = b*c.

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CCSS.5.NF.B.5B

Front

What is the first step in solving the proportion 3/x = 6/12?

Back

The first step is to cross-multiply: 3 * 12 = 6 * x.

Tags

CCSS.7.RP.A.2C

Front

Solve for x: 4/x = 8/16

Back

x = 2.

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CCSS.7.RP.A.3

Front

If 5/x = 10/20, what is x?

Back

x = 2.

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CCSS.7.RP.A.2C

Front

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

Back

x = 8.

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CCSS.7.RP.A.2B

Front

How do you check if your solution for x is correct in a proportion?

Back

Substitute x back into the original proportion to see if both sides are equal.

Tags

CCSS.7.RP.A.2C

Front

Solve for x: 7/x = 14/28

Back

x = 4.

Tags

CCSS.7.RP.A.2C