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Linear Equation Word Problems
By APRIL S KLINKERMAN
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Last updated over 2 years ago
24 questions
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Question 1
1.
While visiting Crimson Lake, Sally decided to go kayaking. The rangers charge $8.50 per hour
in addition to a $25.00 deposit to rent the kayak. Write a linear equation to represent this situation.
Question 2
2.
If she rented the kayak from 11:30 a.m. to 2:30 p.m., solve the linear equation to find the total cost to rent the kayak.
Question 3
3.
Alex bought a new truck for $42,935. According to the dealer, the truck will depreciate
approximately $4,200 per year. Write a linear equation to represent this situation.
Question 4
4.
Solve the linear equation to find how many years until the car is worth $5,135.
Question 5
5.
If you buy a car wash at the gas station for $6.00, the cost per gallon is $2.35. Write and solve a linear equation to represent this situation.
Question 6
6.
If you have $40, solve the linear equation to find the number of gallons of gas you can afford.
Question 7
7.
Tickets at a school play cost $4 in advance or $5 at the door. Total ticket sales for an
evening production were $440. Write and solve a linear equation to represent this situation.
Question 8
8.
If no tickets were sold in advance, solve the equation to find the how many were sold at the door.
Question 9
9.
Karen’s piggy bank has all dimes and quarters. The total value of the money in her piggy
bank is $11.40. Write and solve a linear equation to represent this situation.
Question 10
10.
If Karen has 36 quarters, solve the linear equation to find the number of dimes she has.
Question 11
11.
The Oakville High School Marching Band sold gift wrap to earn money for a band trip. Solid
color gift wrap sells for $3.50 per roll and printed gift wrap sells for $5 per roll. The band
needs to earn $2,500 for an upcoming competition. Write and solve a linear equation to represent this situation.
Question 12
12.
If the band sells 325 rolls of printed paper, solve the linear equation to find the number of solid paper they must sell.
Question 13
13.
A construction company charges $18 per hour for debris removal, plus a one-time fee for
the use of the trash dumpster. The total fee for 8 hours of service was $219. Write a linear equation to represent this situation.
Question 14
14.
Solve the linear equation to find the one-time fee for the trash dumpster.
Question 15
15.
A company offers premium cable for $39.95 plus a one-time setup fee. The total cost for
setup and 6 months of service is $264.70. Write a linear equation to represent this situation.
Question 16
16.
Solve the linear equation to find the total cost for 2 years of service.
Question 17
17.
A home security company provides security systems for $5 per week, plus an installation
fee. The total fee for 12 weeks of service is $210. Write a linear equation to represent this situation.
Question 18
18.
Solve the linear equation to find the cost of the installation fee.
Question 19
19.
Water boils at 100° Celsius or 212° Fahrenheit. Water freezes at 0° Celsius or 32° Fahrenheit.
Write and solve a linear equation to represent this situation.
Question 20
20.
If the weather forecaster says it will be 25° Celsius today, solve the linear equation
to find what Fahrenheit temperature this is.
Question 21
21.
The value of a car decreases at a constant rate. After 3 years, the value of the car is
$15,000. After 2 more years, the value of the car is $11,000. Write a linear
equation to represent this situation.
Question 22
22.
Solve the linear equation to find the value of the car after 8 years.
Question 23
23.
Customers of a satellite dish company must pay for installation of the dish, and a monthly
fee for service. After 6 months, Ryan had paid $594. After 11 months, he had paid $989.
Write a linear equation to represent this situation.
Question 24
24.
Solve a linear equation to find the cost for installation.