Math Challenge #6

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.

Tags

CCSS.7.RP.A.2C

Front

What is the cross-multiplication method?

Back

The cross-multiplication method 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 equation?

Back

a * d = b * c.

Tags

CCSS.5.NF.B.5B

Front

What is the value of k in the equation k/5 = 9/15?

Back

k = 3.

Tags

CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

Front

How do you find the value of x in the equation x/4 = 6/8?

Back

Multiply both sides by 4 to get x = 3.

Tags

CCSS.6.EE.B.7

Front

What is the solution to the proportion 3/x = 12/24?

Back

x = 6.

Tags

CCSS.7.RP.A.2C

Front

If 21/x = 7/24, what is the value of x?

Back

x = 72.

Tags

CCSS.6.EE.B.7

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 can you check if two fractions are equivalent?

Back

Cross-multiply and see if the products are equal.

Tags

CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1