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

What does cross-multiplication involve?

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 result?

Back

The result is ad = bc.

Front

What is the first step in solving the proportion 2/3 = x/9?

Back

The first step is to cross-multiply: 2 * 9 = 3 * x.

Front

What is the solution to the proportion 2/3 = x/9?

Back

x = 6.

Front

What is the value of x in the proportion 5/x = 15/3?

Back

x = 1.

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.

Front

What is an example of a real-world application of proportions?

Back

Proportions can be used in recipes to adjust ingredient amounts based on serving size.

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.