Solving Proportions

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 isolate the variable.

Front

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

Back

The cross-multiplication method states that a*d = b*c.

Front

What is the first step in solving the proportion 3/x = 6/12?

Back

Cross-multiply to get 3*12 = 6*x.

Front

What is the solution to the proportion 4/x = 8/16?

Back

x = 2.

Front

If Ms. Hensley can grow 225 bushels in 3 acres, how many bushels can she grow in 9.6 acres?

Back

720 bushels.

Front

If Finley pays $53.75 for 5 hours, how much does he pay per hour?

Back

$10.75 per hour.

Front

How do you set up a proportion to find the unknown in a word problem?

Back

Identify the ratios involved and set them equal to each other.

Front

What is the value of x in the proportion x/4 = 3/12?

Back

x = 1.

Front

What is the relationship between direct variation and proportions?

Back

Direct variation is a specific type of proportion where one variable is a constant multiple of another.