Ratios & Rates Practice

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: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 speed (miles per hour) or price per item.

Front

If the ratio of paperback books to hardback books is 3:7, how many total books are there if there are 21 paperback books?

Back

There are 49 total books (21 paperback + 49 hardback).

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if you earn $288 for 24 hours of work, the unit rate is $12 per hour.

Front

What is the relationship between speed, distance, and time?

Back

The relationship is described by the formula: Speed = Distance / Time.

Front

If a car travels 60 miles in 1 hour, how far will it travel in 3 hours?

Back

It will travel 180 miles (60 miles/hour * 3 hours).

Front

What does it mean if a ratio is in simplest form?

Back

A ratio is in simplest form when the two numbers have no common factors other than 1.

Front

If the ratio of students who prefer cookie dough ice cream to total students is 1:18, how many students prefer cookie dough if there are 54 students total?

Back

3 students prefer cookie dough ice cream (54 total students / 18 = 3).

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first term as the numerator and the second term as the denominator.