Solve Linear Word Problems

The total cost (y) at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the entrance fee?

• 1.5

• 200

• 0

• 20

Mr. Thompson is on a diet. He currently weighs 260 pounds. He loses 4 pounds per month. How long will it take him to reach his goal of 220 pounds?

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

• 10.95x + 12.57 = 89.22

• 12.57x + 10.95 = 89.22

• 89.22x -10.95 = 12.57

• 12.57 + 10.95 = 89.22

Jen wants to buy a new car for $18500. She pays $2500 at signing and wants to pay $250 per month. How many months until it is paid off?

• 18500 + 2500 = 250x

• 2500 -250x = 18500

• 250x + 2500 = 18500

• 2500(250)x = 18500

Olivia bought a notebook for $12.50 and 9 pens. If her total was $43.73, how much was each pen?

• 12.5x +9 = 43.73

• 73.43 = 12.5x + 9

• 12.5 - 9x = 43.73

• 43.73 = 12.5 + 9x

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents the number of tickets (t) that can be purchased if Penelope plans to spend $35.

• .50t + 20 = 35

• .50t = 35

• .50 + 20t = 35 

• .50t +35 = 20

Dexter's Gym charges a one-time registration fee of $40 and $20 each month. The total fee after x months is $340. Which equation models this situation?

• 40x + 20 = 340

• 20x + 40 = 340

• 20x - 40 = 340

• 20 + 340 = 40x

Lin is tracking the progress of her plant's growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day. Write the equation in slope intercept format (y=mx+b)

A machine salesperson earns a base salary of $40,000 plus a commission of $300 for every machine he sells. Write an equation that shows the total amount of income the salesperson earns, if he sells x machines in a year.

Paul opens a savings account with $350. He saves $150 per month. Assume that he does not withdraw money or make any additional deposits. After how many months will Paul have more than $2,000?