7.4A 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 and then isolate x.

Front

If 5 dogs are to 3 cats, what is the ratio of cats to dogs?

Back

The ratio of cats to dogs is 3 to 5.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity of one.

Front

If a pizza costs $12 for 8 slices, what is the cost per slice?

Back

The cost per slice is $1.50.

Front

In a proportion, if one ratio is 4:5 and the other is x:20, what is x?

Back

x = 16.

Front

How do you set up a proportion to find an unknown quantity?

Back

Set up a proportion by creating a fraction for each ratio and setting them equal to each other.

Front

If a machine can complete a task in 1 minute for 48 items, how long will it take for 300 items?

Back

It will take 6.25 minutes.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

Front

If there are 25 dogs in a shelter and the ratio of dogs to cats is 5:3, how many cats are there?

Back

There are 15 cats.