Word Problems
Equations
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Unit Rates/Rates
100

Jude sends 45 E-mails in 15 minutes.

How many E-mails did he send per minute?

He sent 3 E-mails per minute.

100

Navelle earns $12 per hour. Write an equation that represents Navelle's earnings.

y = 12x

100

Write an equation for the following table. 

x: 1, 2, 3, 4

y:5, 10,15,20

y=5x

100

Mason bought 6 pizzas for $98.70. Each pizza cost the same amount. What was the cost of each pizza in dollars and cents?

$16.45

100

Every 2.5 hours, a machine produces
2250 basketballs. How many basketballs are produced per hour?

900 basketballs per hour

2250 basketballs/2.5 hours

200

Lenasia earned $640 in a 40-hour work week.

What is Lenasia's hourly rate of pay? 

Write a "Let statement" defining x and y.

Lenasia earns $16 per hour.

Let x = number of hours

Let y = amount of money earned ($)

200

Gianna reads 27 pages in 9 minutes.

Write an equation for this relationship. 

Write a "Let statement" defining x and y.

y = 3x

Let x = number of minutes reading

Let y = number of pages read

200

Create a table of values for the following equation

y=7x+4

x= 1, 2, 3,4, 5

y= 11, 18, 25,32,39

200

School Supplies R Us is having a back-to

school sale and advertises in the local

paper that pencils are 88 cents for 11.

8 cents per pencil.

200

At a yard sale, Enzo sees a sign that

advertises 85 cents for 5 books.

17 cents per book

300

A motorcycle uses 2.4 gallons of gasoline to travel 87.6 miles. Calculate the unit rate in miles per gallon as a decimal

36.5 mph

300

Maxine works at law office. The equation y = 135x represents her earnings. Determine how much money she makes if she works 40 hours.

Write a "Let statement" defining x and y.

Maxine earns $5,400 in 40 hours.

Let x = number of hours worked

Let y = amount of money earned ($)

300


Create a table of values for the following equation. 

y=8x

x:1,2,3,4,5

y: 8,16,24,32,40

300

4/28=x/35

x=5

300

The average person breathes 35

pounds of air per day. At this rate, how

many pounds of air will the average

person breathe in seven days?

245 lbs

400

Jeff earned $400 working a 40-hour work week.

How much will Jeff make in 47 hours?

Write a "Let statement" defining x and y.

Jeff makes $10 per hour and would make $470 in 47 hours.

Let x = number of hours worked

Let y = amount of money earned ($)

400

The equation y = 55x represents the rate of the Long Island highway speed limit, in miles per hour. 

How long was Francis driving if he drove 247. 5 miles at the speed limit.

Write a "Let statement" defining x and y.

Francis drove for 4.5 hours.

Let x = number of hours driving

Let y = distance traveled in miles

400

Write the equation for the graph.


y=(1/6)x

400

4.8 yards of ribbon cost $7.20. How much would it cost for 15 yards of ribbon?

$22.50


400

A bakery can bake 12 dozen cookies in 4 hours. 

How many cookies can they bake an hour? 

Write an equation to represent this situation.

Write a "Let Statement" to represent x and y.

k=144 cookies/4 hours = 36 cookies an hour

y=36x

Let x = number of hours baking

Let y = number of cookies baked

500

The California Department of Marine Biology is studying the population of leopard sharks in Monterey Bay. As part of their research, they tagged and released 75 leopard sharks back into the bay. A week later, scientists captured a sample of 90 leopard sharks, 15 of which were tagged. What is a good estimate of the total leopard shark population in Monterey Bay? Round to the nearest whole number if necessary.


Approximately 450 leopard shark. 

500

Jackson ate 15 hamburgers in 5 minutes. 

Jaden ate 12 hamburgers in 3 minutes. 

Write an equation to represent both Jackson and Jaden's rate of eating hamburgers. 

Write a "Let statement" defining x and y.

Jackson: y = 3x           Jaden: y = 4x

Let x = number of minutes eating

Let y = number of hamburgers eaten

500

The distance between two cities is 165 miles. There are approximately 10 kilometers in 6 miles. Which measurement is closest to the number of kilometers between these two cities?


275 Kilometers

500

Juanita and Lydia are each making

lemonade. Juanita’s recipe calls

for 4 parts lemon juice to 2 parts

sugar syrup. Lydia’s recipe calls for

5 parts lemon juice to 3 parts sugar

syrup. Which recipe has a stronger

lemon flavor?

Juanita

500

Convert the rate 5 feet per 3 seconds to

yards per hour.

The rate 5 feet per 3 seconds is

equivalent to 2000 yards per hour.