Solving Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Tags

CCSS.7.RP.A.2A

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and then solve for the unknown variable.

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CCSS.7.RP.A.2C

Front

What does it mean for two ratios to be proportional?

Back

Two ratios are proportional if they can be expressed as equivalent fractions.

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CCSS.7.RP.A.2D

Front

If a/b = c/d, what is the cross-multiplication method?

Back

The cross-multiplication method states that a*d = b*c.

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CCSS.5.NF.B.5B

Front

What is the value of k in the proportion 3/k = 15/5?

Back

k = 5.

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CCSS.7.RP.A.2C

Front

If 4/x = 12/3, what is the value of x?

Back

x = 1.

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CCSS.7.RP.A.2B

Front

Are the ratios 2:3 and 4:6 proportional?

Back

YES, because 2/3 = 4/6.

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CCSS.7.RP.A.2A

Front

Are the ratios 5:10 and 3:6 proportional?

Back

NO, because 5/10 ≠ 3/6.

Tags

CCSS.7.RP.A.2A

Front

What is the first step in solving the proportion 8/12 = x/18?

Back

Cross-multiply to get 8*18 = 12*x.

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CCSS.7.RP.A.2C

Front

What is the solution to the proportion 5/x = 20/16?

Back

x = 4.

Tags

CCSS.7.RP.A.2C