Linear Word Problems Review

The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded.  If Will spent $26, write and solve a linear equation to find how many songs he downloaded.

• 32 songs

• 33 songs

• 19 songs

• 36 songs

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

• 15h ≤ 105

• 15h > 105

• 15h < 105

• 15h ≥ 105

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on a taxi ride. Which inequality best describes how many miles Katie can ride in this taxi?

• 1.75 + 0.65m < 10

• 1.75 + 0.65m > 10

• 1.75m + 0.65 < 10

• 1.75m + 0.65 > 10

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Use an inequality to determine the maximum number of games Cameron can play.

• 4

• 5

• 6

• 3

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

• C = 0.20x + 15

• C =15 (0.20x)

• C = 15 + x + 0.20

• C = 0.20 + 15x

A holiday meal costs $12.50 a person plus a delivery fee of $30.  Which equation represents the amount a holiday meal costs, including delivery, for x people?

• y = 30 + 12.5x 

• y = 12.5 + 30

• y = 12.5 + 30x

You and your friends plan to attend the county fair this weekend.  Admission to the fair is $5 and the cost per ride is $0.50.  How many rides can you go on if you have $20?

• 20 rides

• 30 rides

• 40 rides

• 50 rides

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

• 5x + 10 ≥ 100

• 5x - 100 ≥ 10

• 10x + 5 ≤ 100

• 5x + 10 > 100

Sonya has $40 in her lunch account and pays $2 each day to eat lunch.  Which equation can be used to find the amount of money Sonya has left on her account after x days?

• y = 40 + 2x

• y = 40 - 2x

• y = 2 + 40x

• y = 2 - 40x

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

• C(m) = 50m +8

• C(m) = 8m + 50