NC.M1.A-CED.1 Algebraic Solutions to Word Problems

Layla rented a scooter for $15 per hour plus a $25 gas fee. She spent a total of $75 to rent the scooter. Which equation represents the number of hours, h, Lexi rented the scooter?

The initial value of a car is $26,000. Its value decreases 12% each year. Which equation can be used to determine the number of years, t, for its value to reach 81% of the initial value?

John purchases a car for $18,500. The value of the car depreciates by 11% per year. What is the approximate value of the car after 8 years?

• $2,035

• $2,313

• $7,283

• $16,465

James weighs 42 pounds less than his older brother. Together they weigh 238 pounds. How many pounds does James’s older brother weigh?

A used bookstore sells hardback books and paperback books.

A hardback book costs $18, including tax.

A paperback book costs $8, including tax.

Cameron bought 3 more paperback books than hardback books.

Cameron spent $154.  

How many paperback books did Cam buy?

• 5

• 6

• 7

• 8

Jamison works at a car dealership where he earns $600 each week plus a commission equal to 1% of his total sales. This week his goal is to earn at least $1,000. What is the minimum amount of total sales Jamison must have to reach his goal?

• $80,000

• $50,000

• $35,000

• $40,000

Jersey needs a test average of 85 or higher to make the honor roll.

There are four tests in the term.

Her first three test grades were 74, 83, and 88.

Which inequality could be used to find what she needs to score on her fourth test, x, in order to make the honor roll?

Leah’s coin collection has a total of 80 coins. Halle’s coin collection has two less than three times Leah’s collection. Which equation models the number of coins in Halle’s collection, x?

Two students, Abby and Destiny, go for a walk. Abby begins walking 30 seconds earlier than Destiny.

Abby walks at a speed of 6 feet per second.

Destiny walks at a speed of 9 feet per second.

How long had Abby been walking when Destiny and she had walked the same distance?

• 60 seconds

• 540 seconds

• 120 seconds

• 30 seconds

• 54 seconds

Two boys, Kevin and Holden, go for a walk. Kevin begins walking 30 seconds earlier than Holden.

Kevin walks at a speed of 8 feet per second.

Holden walks at a speed of 10 feet per second.

How many minutes would pass before Holden catches up to Kevin?

• 2 minutes

• 30 minutes

• 120 minutes

• 12 minutes

• 5 minutes