Unit Rate and Proportions Study Guide

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity of one item by the quantity of another item, ensuring the second quantity is 1.

Front

If a person runs 1/3 mile in 1/9 of an hour, what is the unit rate per hour?

Back

3 miles per hour.

Front

What is the formula to find speed?

Back

Speed = Distance / Time.

Front

A snake slithers 2/9 mile in 4/5 hour. What is its speed in miles per hour?

Back

5/18 mile per hour.

Front

How do you convert mixed numbers to improper fractions?

Back

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

Front

Sam can type 252 words in 3 1/2 minutes. How many words can he type in 1 minute?

Back

72 words.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

If 8 gallons of gas cost $28.16, how much will 5 gallons of gas cost at the same rate?

Back

$17.60.

Front

How do you set up a proportion to solve for an unknown?

Back

Set up the equation as \( \frac{a}{b} = \frac{c}{x} \) where a and b are known quantities, c is another known quantity, and x is the unknown.