Activity 2.2 Part 2: Two-Step Equation Word Problems

2.2 Part 2: Two-Step Equation Word Problems

EQ: How can you write and solve 2-Step Equations using inverse operations?

Multiple Choice

3c + 5 = 23

• c = 3
• c = 6
• c = 7
• c = 18

Multiple Choice

$$\frac{x}{4}+8=10$$  

• $$x=-4$$  

• $$x=-8$$  

• $$x=8$$  

• $$x=16$$  

Multiple Choice

3(3x - 6) = 18

• x = 4

• x = -4

• x = 0

• x = -12

Multiple Choice

$$\frac{x+6}{2}=\ 10$$  

• x = 2

• x = 14

• x = 26

• x = -12

Multiple Choice

Tom bought a soft drink for $4.00 and 7 candy bars. He spent a total of $18.00. How much did each candy bar cost?

• 4x + 7 = 18

• 7x + 4 = 18

• 18x + 4 = 7

• 4x + 18 = 7

Multiple Choice

A computer printer can print 10 pages per minute. There were already 35 pages in the tray. The total pages printed was 115 pages. How many minutes has the printer been running?

• 35 + 10x = 115

• 35x + 10 = 155

• 155 = 10 + 35

• 155 + 10x = 35

Multiple Choice

Terry had his car repaired at Ace Auto. He was charged $50 per hour of labor plus $150 for parts. His total bill for the repair before tax was $375. How many hours of labor was Terry charged for?

• 150x + 50 = 375

• 375 = 50x + 150

• 150 = 50x + 375

• 50 + 150 = 375

Multiple Choice

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

• 10.95x + 12.57 = 89.22

• 12.57x + 10.95 = 89.22

• 89.22x - 10.95 = 12.57

• 12.57 + 10.95 = 89.22

Multiple Choice

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

Multiple Choice

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

Multiple Choice

Jason lost a fourth of his pencils. Later he bought 5 more. He now has 10 pencils. How many pencils did he start with?

• x/4 + 5 = 10

• 4x + 5 = 10

• x/4 - 5 = 10

• x/4 + = -10

Multiple Choice

An internet company charges a $100 set up fee, and then they charge $35 a month after that. If Bobbie paid $415 for internet so far this year, how many months has she been paying?

• 7 months

• 8 months

• 9 months

• 10 months