Solving Two Step Equations and Word Problems

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

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

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

Mary earns $14 per hour. Which equation represents how many hours she worked to earn $112? 

• 14h = 112

• 14 / h = 112

• h + 14 = 112

• h - 14 = 112

In this soccer season, Emma has scored 1 more than twice the number of Nick's goals.  If Emma has scored 15 goals, which equation can be used to find x, the number of Nick's goals?

• x - 15 = 1

• x + 1 = 15

• 2x + 1 = 15

• x + 1 = x + 15

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

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. 
The correct equation was .50x + 20 = 35.
So, how many tickets did she buy?

• x = 30

• x = 25

• x = 35

• x = 31

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

Look at the work. What was done incorrectly?

• Don't divide by 2 first

• Don't add 7 to both sides

• It's correct!

• They should have subtracted 7

Look at the work. What SHOULD have been the first step?

• It's correct!

• Subtract 1 on both sides

• Add 5 on both sides

• Divide by 3 on both sides