solve proportions - complex

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 isolate the variable.

Tags

CCSS.6.EE.B.7

Front

What does cross-multiplication involve?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio.

Tags

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.

Tags

CCSS.4.NF.B.4A

CCSS.4.NF.B.4B

Front

What is the first step in solving the proportion 3/x = 12/4?

Back

The first step is to cross-multiply: 3*4 = 12*x.

Tags

CCSS.7.RP.A.2C

Front

What is the solution to the proportion 3/x = 12/4?

Back

The solution is x = 1.

Tags

CCSS.7.RP.A.2C

Front

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

Back

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

Tags

CCSS.6.EE.B.7

Front

What is the value of w in the proportion 5/w = 10/2?

Back

The value of w is 1.

Tags

CCSS.7.RP.A.2C

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

Tags

CCSS.6.RP.A.3A

Front

How do you set up a proportion from a word problem?

Back

Identify the two ratios that are being compared and set them equal to each other.

Tags

CCSS.7.RP.A.3