Solving Linear & Exponential Word Problems for Grade 8

A car rental company charges a flat fee of $30 per day to rent a car. If you rent the car for 5 days, how much will it cost? Write a linear equation to represent the total cost.

• $150

• $75

• $200

• $100

A bacteria culture doubles in size every hour. If you start with 100 bacteria, how many will there be after 4 hours? Write an exponential equation to solve this problem.

• 800

• 400

• 1600

• 2000

A gym membership costs $50 per month, plus a one-time fee of $100. How much will you pay after 6 months? Create a linear equation to find the total cost.

• 400

• 300

• 600

• 500

A population of rabbits grows exponentially. If there are currently 200 rabbits and the population doubles every year, how many rabbits will there be in 3 years? Solve the exponential equation to find the answer.

• 3200

• 800

• 1600

• 400

A phone plan costs $40 per month plus $0.10 per text message. If you send 200 text messages in a month, how much will your total bill be? Write a linear equation to calculate the total cost.

• $80

• $70

• $60

• $50

A tree grows 5 inches every year. If it is currently 10 inches tall, how tall will it be in 6 years? Create a linear equation to determine the height of the tree after 6 years.

• 25 inches

• 15 inches

• 40 inches

• 30 inches

A savings account has an initial deposit of $1,000 and earns 5% interest compounded annually. How much money will be in the account after 3 years? Write an exponential equation to find the total amount.

• 1157.63

• 1050.25

• 1100.50

• 1200.00

A factory produces 1,000 toys in the first month and increases production by 10% each month. How many toys will be produced in the 5th month? Solve the exponential equation to find the answer.

• 1300

• 1464

• 1500

• 1200

A subscription service charges $15 per month. If you subscribe for a year, how much will you pay in total? Write a linear equation to calculate the annual cost.

• 120

• 150

• 180

• 200

A viral video gets 1,000 views on the first day and the number of views triples each day. How many views will it have after 4 days? Write an exponential equation to solve this problem.

• 81000

• 120000

• 50000

• 4000