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 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 a proportion problem?

Back

The first step is to set up the proportion correctly based on the problem statement.

Front

What is the significance of the variable in a proportion?

Back

The variable represents an unknown quantity that we need to solve for.

Front

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

Back

You can check your solution 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 sizes.

Front

What is the relationship between ratios and proportions?

Back

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

Front

What is a common mistake when solving proportions?

Back

A common mistake is misapplying the cross-multiplication method or incorrectly setting up the proportion.