Solving Proportions with Expressions

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 a*d = b*c.

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CCSS.4.NF.B.4A

CCSS.4.NF.B.4B

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

What is the solution for x in the proportion 3/x = 12/16?

Back

x = 4.

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CCSS.7.RP.A.2C

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

Front

How can you check if your solution for a proportion is correct?

Back

You can substitute your solution back into the original proportion to see if both sides are equal.

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CCSS.6.EE.B.7

Front

What is the value of w in the proportion 2/w = 10/15?

Back

w = 3.

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CCSS.7.RP.A.2C

Front

What is the formula for finding a missing term in a proportion?

Back

If a/b = c/x, then x = (b*c)/a.

Tags

CCSS.7.RP.A.3