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 unknown variable.

Front

If 3/4 = x/16, what is x?

Back

x = 12.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

Front

If a recipe calls for 2 cups of flour for 3 servings, how much flour is needed for 9 servings?

Back

You need 6 cups of flour.

Front

What is the cross-multiplication method?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If 5/8 = x/32, what is x?

Back

x = 20.

Front

What is the relationship between unit rates and proportions?

Back

Unit rates are a specific type of ratio that can be used to set up proportions.

Front

If a car travels 150 miles in 3 hours, what is the unit rate in miles per hour?

Back

The unit rate is 50 miles per hour.

Front

How can proportions be used in real-life situations?

Back

Proportions can be used to compare prices, calculate distances, and adjust recipes.