Mastering Linear & Exponential Equations: Grade 8 Challenge

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If you drove 150 miles, how much did you pay in total? Solve the linear equation to find the total cost.

• $100

• $90

• $80

• $70

A population of bacteria doubles every 3 hours. If you start with 500 bacteria, how many will there be after 9 hours? Solve the exponential equation to find the population after 9 hours.

• 4000

• 1500

• 2000

• 3000

A phone plan costs $30 per month plus $0.10 per text message. If you sent 200 text messages in a month, what is your total bill? Solve the linear equation to find the total cost.

• $60

• $40

• $70

• $50

A bank offers an account that earns 5% interest compounded annually. If you deposit $1,000, how much will you have after 3 years? Solve the exponential equation to find the total amount after 3 years.

• 1100.50

• 1200.00

• 1300.75

• 1157.63

A movie theater sells tickets for $12 each and has a fixed cost of $1,000 for the night. If they sell 150 tickets, how much profit do they make? Solve the linear equation to find the profit.

• $800

• $1,200

• $600

• $400

A tree grows at a rate of 10% per year. If the tree is currently 2 meters tall, how tall will it be after 5 years? Solve the exponential equation to find the height after 5 years.

• 3.22 meters

• 2.5 meters

• 4.0 meters

• 5.0 meters

A subscription service charges $15 per month plus a one-time setup fee of $25. If you subscribe for 6 months, what is the total cost? Solve the linear equation to find the total cost.

• $90

• $115

• $130

• $100

A certain species of fish in a lake is known to triple in population every year. If there are currently 200 fish, how many will there be in 4 years? Solve the exponential equation to find the population after 4 years.

• 24000

• 800

• 6000

• 16200

A gym charges a $50 initiation fee and $30 per month. If you want to know how much you will pay after 1 year, what is the total cost? Solve the linear equation to find the total cost after 12 months.

• 410

• $550

• $360

• $480

A savings account has an initial deposit of $500 and earns 4% interest compounded annually. How much will be in the account after 5 years? Solve the exponential equation to find the total amount after 5 years.

• $500.00

• $608.33

• $650.00

• $580.00