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 solve for the unknown variable.

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CCSS.7.RP.A.2C

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 the proportion 3/x = 6/12?

Back

The first step is to cross-multiply: 3 * 12 = 6 * x.

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CCSS.7.RP.A.2C

Front

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

Back

The solution is x = 6.

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CCSS.7.RP.A.2C

Front

If 4/8 = x/16, how do you find x?

Back

Cross-multiply: 4 * 16 = 8 * x, then solve for x.

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CCSS.7.RP.A.3

Front

What is the value of x in the proportion 4/8 = x/16?

Back

The value of x is 8.

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CCSS.7.RP.A.2B

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship or proportion.

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CCSS.6.RP.A.3A

Front

How can you check if two ratios are equivalent?

Back

You can check by cross-multiplying and seeing if the products are equal.

Tags

CCSS.6.RP.A.3A