12/5 MU Solving 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

Front

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

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 result?

Back

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 x 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

Front

Solve the proportion: 2/x = 4/8

Back

x = 4.

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CCSS.7.RP.A.2C

Front

What is the value of x in the proportion: 3/x = 9/12?

Back

x = 4.

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CCSS.7.RP.A.2C

Front

If 5/x = 15/3, what is x?

Back

x = 1.

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CCSS.7.RP.A.2C

Front

What is the relationship between equivalent ratios?

Back

Equivalent ratios have the same value when simplified.

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CCSS.6.RP.A.3A

Front

How can you check if two ratios are equivalent?

Back

You can check by cross-multiplying and seeing if the products are equal.

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CCSS.6.RP.A.3A