Find Unknowns Using 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 an unknown in a proportion?

Back

Cross-multiply the ratios and then solve for the unknown variable.

Front

What is the ratio of two quantities?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between numbers.

Front

If a recipe calls for 2 parts of ingredient A and 3 parts of ingredient B, what is the ratio of A to B?

Back

The ratio of A to B is 2:3.

Front

How can you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the corresponding values are equivalent.

Front

What is the missing number in the ratio 1:3 if the other ratio is 2:?

Back

The missing number is 6, making the equivalent ratio 2:6.

Front

If there are 8 apples and 4 oranges, what is the ratio of oranges to apples?

Back

The ratio of oranges to apples is 4:8, which simplifies to 1:2.

Front

What is the first step in solving a proportion problem?

Back

Identify the two ratios that are being compared.

Front

If 3/4 of a pizza is left and you eat 1/2 of that, how much pizza is left?

Back

You have 3/4 - (1/2 * 3/4) = 3/4 - 3/8 = 3/8 of the pizza left.