Algebraic Equations Two-Step Word Problems

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Write an equation that matches this situation.

• 331=7x+6
• 331=13x
• 331=6x+7
• 331-7=6x

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. The equation from the last problem was: 6x+7=331. How many students were in each bus?

• 54
• 45
• 56
• 65

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

• 7x + 35 = 63
• 7x = 63
• 7x - 35 = 63
• 35x + 7 = 63

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

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5
• Add 6 to both sides and multiply both sides by 5
• Subtract 6 from both sides then multiply both sides by 5
• Subtract 6 from both sides then divide both sides by 5

WRITE AN EQUATION
Jill sold half of her comic books and then got sixteen more. She now has 36. With how many did she begin?

• x/2 + 16= 36
• 36 + 16 = x
• x/2 - 16 = 36
• x/2 = 36 + 16

A computer printer can print 20 pages per minute. There were already 55 pages in the tray. The total pages printed was 115 pages. Write an expression for the number of pages the printer can print in m minutes.

• 20m + 55 = 115

• 20m - 55 = 115

• 115m + 55 = 20

• 55m + 20 = 115

Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  How many months has Jim been a member of the gym?

• 50 + 20m = 290
• 20 + 50m = 290
• 50 + 20 = m
• 50m - 20 = 290

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. 
The correct equation was 11x + 6 = 39.
So, how many hours was the lesson?

• x = 3
• x = 2
• x = 4
• x = 5

4x + 7 = 23

• x = 16
• x = 4
• x = 9
• x = 12