ratios and proportions

Front

What is a ratio?

Back

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

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF).

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

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 per one unit of another quantity.

Front

How do you find the unit rate from a total cost and quantity?

Back

Divide the total cost by the quantity to find the cost per unit.

Front

What does it mean for a table to be proportional?

Back

A table is proportional if the ratios of the corresponding values are constant.

Front

What is the simplest form of the ratio 32:16?

Back

The simplest form of the ratio 32:16 is 2:1.

Front

What is the difference between proportional and nonproportional relationships?

Back

Proportional relationships have a constant ratio, while nonproportional relationships do not.

Front

If 5 pounds of concrete cost $40, what is the cost per pound?

Back

The cost per pound is $8.