Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve for x in a proportion?

Back

To solve for x in a proportion, cross-multiply the terms and then isolate x.

Front

If a car travels 280 miles in 7 hours, how do you find the distance it will travel in 12 hours?

Back

Use the ratio: (280 miles / 7 hours) = (x miles / 12 hours). Cross-multiply to find x.

Front

What is the formula for finding a missing value in a proportion?

Back

The formula is a/b = c/d, where a, b, c, and d are the known and unknown values.

Front

If 4/8 = x/16, what is the value of x?

Back

x = 8.

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 fractions are in proportion?

Back

Cross-multiply the fractions and see if the products are equal.

Front

If a hamburger costs $6 for 3 pounds, how much does it cost for 10 pounds?

Back

It costs $20.

Front

What is the relationship between unit rates and proportions?

Back

Unit rates are a specific type of proportion where one of the quantities is 1.

Front

If x/20 = 3/15, what is the value of x?

Back

x = 4.