Solving Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Tags

CCSS.7.RP.A.2A

Front

How do you solve a proportion?

Back

To solve a proportion, you can use cross-multiplication. If a/b = c/d, then a*d = b*c.

Tags

CCSS.7.RP.A.2A

Front

What is cross-multiplication?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If 3/4 = x/12, what is x?

Back

x = 9. (Cross-multiply: 3*12 = 4*x, so 36 = 4x, thus x = 36/4 = 9.)

Tags

CCSS.7.RP.A.2B

Front

What is the first step in solving 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 does it mean if two ratios are equivalent?

Back

If two ratios are equivalent, it means they represent the same relationship or proportion between two quantities.

Tags

CCSS.6.RP.A.3A

Front

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

Back

You can check your solution by substituting it back into the original proportion to see if both sides are equal.

Tags

CCSS.6.EE.B.7

Front

What is the relationship between fractions and proportions?

Back

Fractions can be expressed as proportions, where the numerator and denominator represent the two quantities being compared.

Front

If a/b = c/d, what can you say about the cross products?

Back

The cross products are equal, meaning a*d = b*c.

Tags

CCSS.7.RP.A.2A

Front

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

Back

Proportions are used in recipes to adjust ingredient amounts based on serving sizes.

Tags

CCSS.7.RP.A.3