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 solve for the variable.

Front

What does cross-multiplication mean?

Back

Cross-multiplication 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

The cross-multiplication equation is a * d = b * c.

Front

What is the first step in solving the proportion 4/x = 2/8?

Back

The first step is to cross-multiply: 4 * 8 = 2 * x.

Front

What is the solution to the proportion 4/x = 2/8?

Back

The solution is x = 8.

Front

If 3/5 = x/15, how do you find x?

Back

Cross-multiply: 3 * 15 = 5 * x, so x = 9.

Front

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

Back

Cross-multiply to find x: 10 * 2 = 5 * x, so x = 4.

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

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