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 variable.

Front

If a/b = c/d, what is the cross-multiplication method?

Back

The cross-multiplication method states that a*d = b*c.

Front

What is the first step in solving the proportion 3/x = 6/12?

Back

Cross-multiply to get 3*12 = 6*x.

Front

What does it mean if two quantities are proportional?

Back

It means that as one quantity changes, the other quantity changes at a constant rate.

Front

If 14 sticks of pepperoni are needed for 28 pizzas, how many sticks are needed for 1 pizza?

Back

1 stick of pepperoni is needed for 2 pizzas.

Front

How do you find the unit rate from a proportion?

Back

Divide the numerator by the denominator to find the unit rate.

Front

What is the unit rate if 10 miles are run in 2 hours?

Back

The unit rate is 5 miles per hour.

Front

If Mary runs 2 miles in 23 minutes, how long will it take her to run 10 miles?

Back

It will take her 115 minutes.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship does not maintain a constant ratio between two quantities.