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, you can use cross-multiplication.

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CCSS.7.RP.A.2A

Front

What is cross-multiplication?

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 does it mean if two ratios are equivalent?

Back

If two ratios are equivalent, they represent the same relationship between quantities.

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CCSS.6.RP.A.3A

Front

How can you check if two ratios are equivalent?

Back

You can check if two ratios are equivalent by cross-multiplying and comparing the products.

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CCSS.6.RP.A.3A

Front

What is the first step in solving 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

If 3/x = 12/16, what is the value of x?

Back

x = 4.

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CCSS.7.RP.A.3

Front

What is the value of x in the proportion 5/x = 15/9?

Back

x = 3.

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CCSS.7.RP.A.2C

Front

If 8/12 = x/18, what is x?

Back

x = 12.

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CCSS.7.RP.A.2B