Font size
WorksheetsLinear Word Problems
Total questions: 36
Worksheet time: 3hrs 0mins
Which of the following keys words would not represent the slope of a linear equation word problem?
every year
one time fee
each week
per month
Which situation below is representative of slope?
paying $30 to get into a museum
paying a one-time fee of $80 for a gym membership
getting a $1000 raise each year
buying a truck for $24,000
Which of the following keys words would not represent the y-intercept of a linear equation word problem?
start-up cost
starting value
one time fee
per month
Which situation below is representative of y-intercept?
putting $300 a month into savings
buying $30 worth of supplies for a lemonade stand
spending $3 per ride at the fair
paying $2 for parking every day
Bob has $150 in his savings account and saves $40 per month. Which value represents the slope of the linear equation?
40
150
Bob has $150 in his savings account and saves $40 per month. Which value represents the y-intercept of the linear equation?
40
150
Bob has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?
y = 150 + 40
y = 40x + 150
y = 150x + 40
y = 150x - 40
A holiday meal costs $12.50 per person plus a delivery fee of $30. Which value represents the slope of the linear equation?
30
12.50
A holiday meal costs $12.50 per person plus a delivery fee of $30. Which value represents the y-intercept of the linear equation?
30
12.50
A holiday meal costs $12.50 per person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?
y = 12.5x + 30
y = 30 + 12.5
y = 12.5 + 30x
y = 30x - 12.5
A holiday meal costs $12.50 per person plus a delivery fee of $30. How much would it cost a family of 4 to have a holiday meal delivered, including the delivery fee? (Hint: use the equation from the previous problem)
$50
$80
$170
$200
Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?
y = 8.5 + 25.5
y = 25.5 + 8.5x
y = 8.5 + 25.5x
y = -8.5x + 25.5
Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. How much would it cost, in total, to rent a car for 8 hours?
$93.50
$272
$212.50
$42
Sonya has $40 in her lunch account and pays $2 each day to eat lunch. Which value represents the slope of the linear equation?
2
40
-2
-40
Sonya has $40 in her lunch account and pays $2 each day to eat lunch. Which value represents the y-intercept of the linear equation?
2
40
-2
-40
Sonya has $40 in her lunch account and pays $2 each day to eat lunch. Which equation can be used to find the amount of money Sonya has left on her account after x days?
y = 40 + 2x
y = 40 - 2x
y = 2 + 40x
y = 2 - 40x
Sonya has $40 in her lunch account and pays $2 each day to eat lunch. How many days has Sonya bought lunch if she now has $16 left in her lunch account?
10 days
16 days
8 days
12 days
A family buys a case of water with 48 bottles and drinks 5 bottles per day. Which equation shows the number of bottles left after x days?
y = 48x + 5
y = -5 + 48x
y = -5x - 48
y = 48 - 5x
The total cost y at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the price per ride?
$1.50
$21.5
$1.05
$20
The total cost y at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the entrance fee?
$1.50
$21.50
$0
$20
The total cost y at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the total price to enter the amusement park and ride one ride?
$1.50
$21.50
$30
$20
The total cost y at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the total price to ride 10 rides?
$35
$15
$215
$30.50
A man is climbing down a mountain. His altitude y in feet can be modeled by the equation y=500-30x where x is the number of minutes since he started his hike down the mountain. What was his starting altitude?
30 feet
470 feet
500 feet
500 yards
The cost of a dance membership y in dollars can be modeled by the equation y=4x+30 where x represents the number of months since obtaining the membership. After how many months will the total cost be $58?
7 months
6 months
5 months
4 months
The cost of a dance membership y in dollars can be modeled by the equation y=4x+30 where x represents the number of months since obtaining the membership. What is the start-up fee for the membership?
$4
$34
$30
$7.50
The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded. If Will spent $26, write and solve a linear equation to find how many songs he downloaded.
32 songs
33 songs
19 songs
36 songs
If I join the gym for a start up fee of $40 and monthly fee of $10, what is a possible label for the x-axis?
Total Amount Paid
Total Number of People at the Gym
Hours
Months
If I join the gym for a start up fee of $40 and monthly fee of $10, what is a possible label for the y-axis?
Total Amount Paid
Total Number of People at the Gym
Hours
Months
If Jerry has $200 in his bank account and makes $7 per hour, what is a possible label for the x-axis?
Hours Worked
Total Amount ($) Earned
Total Amount ($) in Bank Account
Days Worked
If Jerry has $200 in his bank account and makes $7 per hour, what is a possible label for the y-axis?
Hours Worked
Total Amount ($) Earned
Total Amount ($) in Bank Account
Days Worked
If the water park charges $15 to get in plus $2 per ride, what is a possible label for the x-axis?
Hours
Rides
Number of People at Water Park
Total Cost
If the water park charges $15 to get in plus $2 per ride, what is a possible label for the y-axis?
Hours
Rides
Number of People at Water Park
Total Cost
Suppose that the water level of a river is 34 feet and that it is receding (going down) at a rate of 0.5 feet per day. In how many days will the water level be 26 feet? (Don't forget a label.)
(a)
A plumber charges $25 for a service call plug $50 per hour of service. What will be the total cost for 8 hours of work? (Don't forget a label.)
(a)
Javier collected 100 pounds of aluminum cans to recycle. He plans to collect 25 more pounds every week. How long will it take for Javier to collect 400 pounds of cans? (Don't forget a label.)
(a)
You stop for gas, fill the tank, and grab some snacks inside. The gas costs $2.40 a gallon and you spend $10.87 for snacks. You need 11 gallons to fill the tank. How much does this all cost? (Don't forget a label.)
(a)
