Solve Linear Word Problems

Suppose that a bike rents for $4 plus $1.50 per hour. What is the cost of a 12 hour bike rental?

• $5.33

• $16

• $18

• $22

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 the taxi ride.

• 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. Which inequality represents this scenario if “x” represents the number of games Cameron can play?

• 6x + 8 ≥ 42

• 8x + 6 ≤ 42

• 6x + 8 > 42

• 8x + 6 < 42

Mrs. Hurtgam's cell phone company offers a contract that costs $25.00 a month plus $0.08 for every text message that is sent. Find the total number of text messages you sent in the month of October if the total bill was $157.32.

• 165 text messages

• 1966 text messages

• 1654 text messages

• 2279 text messages

Austin holds a dog and steps on a scale. The scale reads 193.7 lb. Alone, Austin weights 135 lb. Find the weight of the dog.

• 328.7 lbs

• 58.7 lbs

• 135 lbs

• 1.4 lbs

The “Isabella's Dance School of Fine Ballet” charges $24 per class and a one-time registration fee $150. A student paid a total of $822 dollars. Find the number classes the student took.

• 26

• 648

• 6

• 28

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 3 hours

• 4 hours

• 1 hour

• 2 hours

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

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

Which equation shows the number of bottles left after x days?
A family buys a case of water with 48 bottles and drinks 5 bottles per day.

• y = 48x + 5

• y = -5 + 48x

• y = -5x - 48

• y = 48 - 5x