Ratios, Rates and Unit Rates

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

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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 dollars per item.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, such as 60 miles per hour (60 miles in 1 hour).

Front

If 4 concert tickets cost $124, what is the cost of 1 ticket?

Back

$31 (calculated by dividing $124 by 4).

Front

If a car travels 30 miles in 2 hours, what is its speed in miles per hour?

Back

15 miles per hour (30 miles divided by 2 hours).

Front

What is the ratio of boys to girls if there are 7 boys and 9 girls?

Back

7 to 9 or 7:9.

Front

What is the equivalent rate of 15 miles per hour?

Back

30 miles in 2 hours.

Front

How do you find a missing number in a ratio table?

Back

Use equivalent ratios to find the missing number by cross-multiplying or setting up a proportion.

Front

What is the simplified form of the ratio 35:14?

Back

5:2.