Ratios and Rates Review

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or price per item.

Front

How do you find the unit price?

Back

To find the unit price, divide the total cost by the number of items. For example, if 5 pencils cost $1.00, the unit price is $1.00 ÷ 5 = $0.20 per pencil.

Front

What is the unit rate?

Back

The unit rate is the value of a ratio when the second quantity is 1. It shows how much of one quantity corresponds to one unit of another quantity.

Front

How do you express a ratio?

Back

A ratio can be expressed in three ways: as a fraction (a/b), with a colon (a:b), or in words (a to b).

Front

What is the ratio of red to yellow marbles if there are 2 red and 5 yellow?

Back

The ratio of red to yellow marbles is 2 to 5.

Front

If 15 pizzas cost $97.50, what is the unit rate per pizza?

Back

The unit rate is $97.50 ÷ 15 = $6.50 per pizza.

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How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, the ratio 4:8 simplifies to 1:2.

Front

What is the price per gallon if 13 gallons cost $46.80?

Back

The price per gallon is $46.80 ÷ 13 = $3.60.

Front

What does it mean if a ratio is 4:3?

Back

A ratio of 4:3 means that for every 4 units of one quantity, there are 3 units of another quantity.