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, you can use cross-multiplication, where you multiply the numerator of one ratio by the denominator of the other ratio.

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CCSS.7.RP.A.2C

Front

What is cross-multiplication in proportions?

Back

Cross-multiplication is the process of multiplying the numerator of one fraction by the denominator of the other fraction to find an unknown value.

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CCSS.6.RP.A.3B

Front

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

Back

The cross-multiplication equation is a * d = b * c.

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CCSS.5.NF.B.5B

Front

What does it mean if two ratios are equivalent?

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Two ratios are equivalent if they represent the same relationship between quantities.

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CCSS.6.RP.A.3A

Front

How can you check if two ratios are in proportion?

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You can check if two ratios are in proportion by cross-multiplying and seeing if the products are equal.

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CCSS.7.RP.A.2A

Front

What is the first step in solving a proportion problem?

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The first step is to set up the proportion correctly based on the problem's context.

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CCSS.7.RP.A.2C

Front

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

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

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CCSS.7.RP.A.3

Front

What is the relationship between direct variation and proportions?

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Direct variation describes a relationship where two quantities increase or decrease together, which can be expressed as a proportion.

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CCSS.7.RP.A.2D

Front

What is the formula for finding an unknown in a proportion?

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The formula is x = (b * c) / a, where a/b = c/x.

Tags

CCSS.7.RP.A.2C