Solve Proportions

Front

What is a proportion?

Back

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

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CCSS.7.RP.A.2A

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How do you solve a proportion?

Back

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

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CCSS.6.EE.B.7

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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 result?

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The result is ad = bc.

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CCSS.4.NF.A.1

CCSS.5.NF.B.5B

Front

What is the first step in solving for a variable in a proportion?

Back

The first step is to set the two ratios equal to each other.

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CCSS.7.RP.A.3

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What is the value of C in the proportion 3/4 = C/21?

Back

C = 15.

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CCSS.7.RP.A.2B

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What is the value of Z in the proportion 5/Z = 1/3?

Back

Z = 15.

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CCSS.7.RP.A.2B

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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.

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CCSS.7.RP.A.2A

Front

What is the relationship between the means and extremes in a proportion?

Back

In a proportion, the product of the means equals the product of the extremes.

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CCSS.7.RP.A.3

Front

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

Back

Proportions can be used in recipes to adjust ingredient amounts based on serving size.

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CCSS.7.RP.A.3