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 for a variable in a proportion?

Back

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

Front

If 3/4 = x/12, how do you find x?

Back

Cross-multiply: 3 * 12 = 4 * x, so x = 9.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship or proportion.

Front

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

Back

Substitute the value back into the original proportion to see if both sides are equal.

Front

What is the relationship between direct variation and proportions?

Back

Direct variation describes a relationship where two quantities increase or decrease together, which can be expressed as a proportion.

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

Solve for x: 5/x = 15/3

Back

x = 1.