Modeling Word Problems with Two-Step Equations

There are 60 members in the school glee club. The glee club needs to raise $5,000 for a trip to a national competition. The school agreed to contribute $1,000 toward the trip. What amount of money each glee club member needs to raise to help pay for the trip?

• 1,000x + 60 = 5,000

• 60x + 1,000 = 5,000

• 60x + 5,000 = 1,000

• 1,000x - 60 = 5,000

Shilpa earned 100 points in the first round of a game. She earned 20 points in each of the following rounds of the game. She ended the game with 400 points. How many rounds Shilpa played?

• 100x - 20 = 400

• 200x = 400

• 100 + 20x = 400

• 20x - 100 = 400

Guillermo bought some reams of paper for $5 each and a $200 printer. He spent a total of $450. How many reams of paper Guillermo purchased?

• 5x + 200 = 450

• 200 - 5x = 450

• 200/5x = 450

• 200x + 5 = 450

Five more than twice a number m is fifteen. Find m.

• 5m - 2m = 15

• 2m + 5 = 15

• 5m + 2 = 15

• 5m + 2m = 15

Jane has 6 more than half the number of pairs of shoes that Mercedes has. How many pairs of shoes has Mercedes, if Jane has 13?

• x/2 + 6 = 13

• 2x + 6 = 13

• 6x = 13

• 6x/2 = 13

Juma earns $12.50 for each newspaper subscription he sells. He also earns a $50 base salary each week. If he wants to earn $400 next week, how many newspaper subscriptions does he need to sell?

• 50 + 12.50x = 400

• 12.50 - 50x = 400

• 12.50 + 50x = 400

• 400 - 12x = 50

Rashida wants to rent a bike. She has to pay an initial fee of $10 and an hourly rate of $4. For how many hours can she rent a bike if she has $38?

• 38 - 10x = 4

• 4 + 10x = 38

• 10 + 4x = 38

• 38 - 4x - 10 = 0

Eleven times the difference of a number p and two is twelve. Find p.

• 2 – 11p = 12

• 11 (2 – p) = 12

• 11 (p – 2) = 12

• 11p – 2 = 12

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

• 50 + 20m = 290

• 20 + 50m = 290

• 50 + 20 = m

• 50m - 20 = 290

A bag of candy was shared equally among 4 friends. Each friend gave away 7 pieces of candy. They each ended up with 8 pieces of candy. Write an equation to find how much candy was in the bag at the beginning.

• c/7 - 4 = 8

• c/4 + 7 = 8

• 4/c - 7 = 8

• c/4 - 7 = 8