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 two ratios and then solve for the unknown variable.

Front

What is cross-multiplication?

Back

Cross-multiplication is a method used to solve proportions by 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 you check if two ratios are in proportion?

Back

You can check by cross-multiplying and seeing if the products are equal.

Front

What is the first step in solving for a variable in a proportion?

Back

The first step is to set up the proportion correctly based on the given information.

Front

What is the significance of the variable in a proportion?

Back

The variable represents an unknown quantity that can be determined by solving the proportion.

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 sizes.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.