Solving Proportions

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What is a proportion?

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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?

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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 is the cross-multiplication method?

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The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio.

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CCSS.6.RP.A.3A

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CCSS.5.NF.B.5B

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k = 5.

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CCSS.7.RP.A.2B

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What is the scale factor in similar figures?

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The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

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CCSS.7.G.A.1

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If two rectangles are similar and one has a width of 4 and the other has a width of 20, what is the scale factor?

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The scale factor is 5.

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CCSS.7.G.A.1

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CCSS.7.RP.A.3

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What does it mean if two ratios are equivalent?

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It means that they represent the same relationship between quantities.

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CCSS.6.RP.A.3A

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X = 10.

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CCSS.7.EE.B.3