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

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF) until no further simplification is possible.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as speed (miles per hour) or price (cost 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 boy:girl ratio in a class with 15 boys and 20 girls?

Back

The boy:girl ratio is 3:4.

Front

If 4 bars of soap cost $5, how much do 8 bars cost?

Back

8 bars of soap would cost $10.

Front

How do you calculate words per minute?

Back

To calculate words per minute, divide the total number of words typed by the total time in minutes. For example, if 408 words are typed in 4 minutes, the rate is 408 ÷ 4 = 102 words per minute.

Front

What is the unit rate if you spend $40 on 5 pounds of concrete?

Back

The unit rate is $8 per pound.

Front

What does it mean to express a ratio in simplest form?

Back

Expressing a ratio in simplest form means reducing it to the smallest whole numbers that maintain the same relationship.

Front

If a recipe calls for a ratio of 2:3 of sugar to flour, how much flour is needed for 4 cups of sugar?

Back

If the ratio is 2:3, for every 2 cups of sugar, you need 3 cups of flour. For 4 cups of sugar, you need 6 cups of flour.