Writing Two-Step Equations from Word Problems

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

Tags

CCSS.HSA.CED.A.3

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

Tags

CCSS.HSA.CED.A.3

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. Write an equation that represents this scenario if the total cost was $39.

• 11x + 6 = 39
• 11x - 6 = 39
• 11 + 6x = 39
• 66x = 39

Tags

CCSS.HSA.CED.A.3

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

Tags

CCSS.HSA.CED.A.3

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation to find out how many hours, h, they rented the Boat if the total cost was $33.

• h = 2(9) + 15
• 33 = 15h + 2
• h = 15(9) + 2
• 33 = 2h + 15

Tags

CCSS.7.EE.B.4A

The quotient of "r" and 8 is 9

• $\frac{r}{8}=9$

• $\frac{8}{r}=9$

• $r=\frac{9}{8}$

• $r=\frac{8}{9}$

Twice a number plus 6 is -72

• 2 + 6x =- 72
• 2x + 6 = -72
• 2 + 6 = x
• 2x² + 6 = 72

Tags

CCSS.7.EE.B.4A

Mo is thinking of a number. Eleven more than one third of a number is -1. Which equation would help me find Mo's number?

• $3x-11=-1$

• $3x+11=-1$

• $\frac{1}{3}x+11=-1$

• $\frac{1}{3}x-11=-1$

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?

• $\frac{1}{2}x+16=36$

• $2x+16=36$

• $\frac{1}{2}x-16=36$

• $\frac{1}{2}x=36+16$

Casey has $50 to spend at Best Buy. She wants to buy a DVD for $14 and some CDs that cost $12 each. How many CDs can she buy?

• 12 + 14x = 50

• 12x + 14 = 50

• 50 - 14 - 12 = x

• 50x + 12 = 14

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7