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Linear Equation Word Problems

Last updated over 2 years ago
24 questions
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.

1

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.

1

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.

1

Solve the linear equation to find how many years until the car is worth $5,135.

1

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.

1

If you have $40, solve the linear equation to find the number of gallons of gas you can afford.

1

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.

1

If no tickets were sold in advance, solve the equation to find the how many were sold at the door.

1

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.

1

If Karen has 36 quarters, solve the linear equation to find the number of dimes she has.

1

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.

1

If the band sells 325 rolls of printed paper, solve the linear equation to find the number of solid paper they must sell.

1

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.

1

Solve the linear equation to find the one-time fee for the trash dumpster.

1

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.

1

Solve the linear equation to find the total cost for 2 years of service.

1

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.

1

Solve the linear equation to find the cost of the installation fee.

1

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.

1

If the weather forecaster says it will be 25° Celsius today, solve the linear equation
to find what Fahrenheit temperature this is.

1

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.

1

Solve the linear equation to find the value of the car after 8 years.

1

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.

1

Solve a linear equation to find the cost for installation.