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.5.NF.B.5B

CCSS.4.NF.A.1

Front

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

Back

Cross-multiply to get 3 * 12 = 6 * x.

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CCSS.7.RP.A.2C

Front

What is the solution for x in the proportion 3/x = 6/12?

Back

x = 6.

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CCSS.7.RP.A.2C

Front

What is the definition of a ratio?

Back

A ratio is a comparison of two quantities by division.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you express a ratio?

Back

A ratio can be expressed as a fraction, with a colon, or with the word 'to'.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is an example of a proportion?

Back

An example of a proportion is 1/2 = 2/4.

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CCSS.7.RP.A.2A

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

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CCSS.6.RP.A.3A