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 is cross-multiplication in proportions?

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 does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

Front

How can proportions be used in real-life applications?

Back

Proportions can be used to solve problems involving scaling, such as recipes, maps, and financial calculations.

Front

What is the value of k in the proportion 3/4 = k/8?

Back

k = 6, found by cross-multiplying.

Front

What is the first step in solving a proportion?

Back

Identify the two ratios that are being compared.

Front

What is an example of a proportion?

Back

An example of a proportion is 1/2 = 2/4.

Front

What is the relationship between direct and inverse proportions?

Back

Direct proportions increase together, while inverse proportions have one quantity increase as the other decreases.