Two Step Equations Word Problems

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. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35

• .50x = 35

• .50 + 20x = 35 

• .50x - 20 = 35

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

Which situation is best represented by x-32=8?

• Logan withdrew $32 from his bank account.  After his withdrawal, his balance was $8.  How much was originally in his account?

• Daniel has 32 baseball cards.  Joseph has 8 fewer baseball cards than Daniel.  How many baseball cards does Joseph have?

• Room A contains 32 desks.  Room B has 8 fewer desks.  How many desks are in Room B?

• Janelle bought a bag of 32 craft sticks for a project.  She used 8 craft sticks.  How many craft sticks does she have?

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?

• 2 miles 

• 4 miles

• 0.50 mile

• -4 miles 

Tags

8.17

Jen wants to buy a new car for $18,500. She pays $2,500 at signing and wants to pay $250 per month. How many months until it is paid off?

• 18,500 + 2,500 = 250x

• 2,500 - 250x = 18,500

• 250x + 2,500 = 18,500

• 2,500 (250)x = 18,500

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

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

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