Solving Two-Step Equation Word Problems

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

Which equation would describe "two times a number plus five equals 15"?

• x + 5 = 15

• 2x + 5=15

• x + 2(5) = 15

• 2(x + 5) = 15

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 this scenario if she spends $35 in all.

• .50x + 20 = 35

• .50x = 35

• .50 + 20x = 35 

• .50x - 20 = 35

Ed earns a $100 commission on each computer he sells plus a base salary of $50,000. His total income last year was $75,000. How many computers did Ed sell last year?

• 50,000 + 100x = 75,000

• 50,000 − 100x = 75,000

• 75,000 + 100x = 50,000

• 75,000x + 100 = 50,000

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

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

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

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

Scott works on cars. He charges $35 for each car plus $7 per hour.
The correct equation was 7x + 35 = 63.
So, how many hours did he work on Kylie's car if her bill was $63?

• x = 4

• x = 5

• x = 3

• x = 4.5