Algebraic Ratios and Proportions

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What is a ratio?

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A ratio is a comparison of two quantities by division, expressed as 'a to b' or a:b.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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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 does it mean to cross-multiply?

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Cross-multiplying involves multiplying the numerator of one ratio by the denominator of the other ratio.

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CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

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CCSS.5.NF.B.5B

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Back

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CCSS.7.RP.A.3

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Back

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CCSS.HSA.REI.A.2

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CCSS.8.EE.C.7B

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What is the definition of equivalent ratios?

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Equivalent ratios are ratios that express the same relationship between numbers.

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CCSS.6.RP.A.3A

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How can you determine if two ratios are equivalent?

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Two ratios are equivalent if their cross-products are equal.

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CCSS.6.RP.A.3A