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 speed (miles per hour) or price per item.

Front

How do you calculate the unit price?

Back

To calculate 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

If a person jogs 2,000 feet in 4 minutes, how far will they jog in 8 minutes at the same rate?

Back

4,000 feet.

Front

What is the formula to find the price per gallon of gas?

Back

Price per gallon = Total cost ÷ Number of gallons. For example, $46.80 ÷ 13 gallons = $3.60 per gallon.

Front

How do you find the cost per wing if 15 wings cost $18?

Back

Cost per wing = Total cost ÷ Number of wings. So, $18 ÷ 15 wings = $1.20 per wing.

Front

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

Back

$10, because the cost doubles when the quantity doubles.

Front

What is the relationship between ratios and rates?

Back

Ratios compare quantities of the same kind, while rates compare quantities of different kinds.

Front

How can you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms by their greatest common divisor (GCD). For example, the ratio 4:8 can be simplified to 1:2.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.