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 terms and then solve for the 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

What is an example of a real-world application of proportions?

Back

An example is using proportions to determine the scale of a map.

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CCSS.7.RP.A.3

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.

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CCSS.6.RP.A.3A

Front

How can you check if two ratios form a proportion?

Back

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

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CCSS.7.RP.A.2A

Front

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

Back

The value of x is 2.

Tags

CCSS.7.RP.A.2C