Math Challenge #6

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the variable.

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.

Front

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

Back

a * d = b * c.

Front

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

Back

k = 3.

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.

Front

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

Back

x = 6.

Front

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

Back

x = 72.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

Front

How can you check if two fractions are equivalent?

Back

Cross-multiply and see if the products are equal.