Solving Word Problem Equations

Mary has been offered two jobs. Job A has a starting salary of $36,000 and a raise of $1500 every year. Job B has a starting salary of $29,000 and a raise of $2500 every year. Write an equation to determine how many years would Mary's salary be the same at both companies.

• 36,000x + 1,500 = 29,000x + 2,500

• 36,000 - 29,000 = 1,500x + 2,500x

• 36,000 - 1,500x = 29,000 - 2,500x

• 36,000 + 1,500x = 29,000 + 2,500x

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $190.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

• 20 games

• 10 games

• 15 games

• 25 games

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

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

• 2 hours

• 3 hours

• 4 hours

• 5 hours

Juan decided to join a gym to get in shape for football. He has two payment options. Option A is to buy a membership card and pay $2 each time he goes to the gym. Option B is to pay $4 each time he goes. A membership card costs $30. After how many times, t, will the cost of Option A be equal to the cost of Option B

• 50

• 20

• 15

• 25

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. Which equation could you use to see when the two companies would charge the same amount?

• 18x = 22x

• 3x + 15 = x + 21

• 15x + 3 = 21x + 1

• 3x + 15 + 21x = 1

n=

• -12

• 11

• 1.5

• -11

At a store a carton of eggs costs $2.25 and a package of bacon costs $4.25. At another store eggs cost $2.75 and bacon costs $4.00. If you were to buy one carton of eggs, how many packages of bacon would you have to buy for both stores to cost the same?

• 2

• 4

• 1

• 6

I can join video club A for $25.00 and rent videos for $1.00 each. Or, I can join video club B for $15.00 and rent videos for $2.00 each. If I were to rent 6 videos which club would be the better deal? How much would I spend?

• 5 videos

• 15 videos

• 25 videos

• 10 videos

Rhonda bought five shirts from a store and had $10 left. If she had only bought three shirts, she would have had $24 left. If each shirt costs the same, which of the following equations could be used to determine x, the cost of each shirt, in dollars?

• 10 - 5x = 24 - 3x

• 5x + 3x = 10 + 24

• 10 + 5x = 24 +3x

• 5 + 10x = 3 + 24x