PACE Two-Step Equations Word Problems Asynchronous Practice

Jackie bought 2 pairs of ballet shoes and a tutu from Dance Works. She remembered that tutu was $38 and that the total cost was $148. Which equation can be used to find b, the cost of each pair of ballet shoes?

• 148 = 2b + 38

• 148 = 2b + 55

• 148 = 38 + b

• 148 = 38b

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CCSS.6.EE.B.6

CCSS.6.EE.B.7

A taxi charge a base fee of $3, plus $1.50 for each mile traveled, x. Mr. Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Lewis live from the airport?

Write and solve an equation to represent this situation. Be sure to show all of your steps!

• 30 =1.50x + 3

  x = 18 miles

• 30 = 1.50x - 3

  x = 22 miles

• 30 = 3x + 1.50

  x = 9.5 miles

• 30 = 1.50x + 3

  x = 22 miles

• 30 = 1.50x - 3

  x = 18 miles

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets, x, are $0.50 each.

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

• 35 = 0.50x + 20

  x = 30 ride tickets

• 35 = 0.50x

  x = 30 ride tickets

• 35 = 0.50 + 20x

  x = 1.725 ride tickets

• 35 = 0.50x - 20

  x = 110 ride tickets

• 35 = 0.50x + 20

  x = 110 ride tickets

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CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

Scott works on cars. He charges $35 for an appointment fee plus $7 per hour, x. Write and solve an equation that represents this scenario if Scott's car bill was $63.

• 63 = 7x + 35

  x = 4 hours

• 63 = 7x + 35

  x = 14 hours

• 63 = 7x - 35

  x = 14 hours

• 63 = 35x + 7

  x = 1.6 hours

• 63 = 35x + 7

  x = 4 hours

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

This year, there are a total of 357 students in 6th grade. On Tuesday, sixteen classes had x 6th graders in them. There were a total of 15 students absent that day.

This situation can be represented by the equation:

357 = 16x+15

What would be the FIRST step in solving this equation?

• Subtract 15 from both sides of the equation

• Divide by 16 on both sides of the equation

• Add 15 to both sides of the equation

• Multiply by 16 on both sides of the equation

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CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Jill sold one-half of her comic books and then purchased 16 new comic books. She now has a total of 36 comic books. Write an equation that can be used to solve for c, the number of comic books Jill started with.

• 36 = $\frac{1}{2}c$  + 16 
  

• c = 36 + 16 

• 36 = $\frac{1}{2}c$  - 16

•  $\frac{1}{2}c$   = 36 

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CCSS.6.EE.A.2

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CCSS.6.EE.B.6

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A computer printer can print 10 pages per minute. There were already 35 pages in the tray. It printed a total of 115 pages. Write and solve an equation to represent the number of minutes, m, it took to print.

• 115 = 10m + 35

  m = 8 minutes

• 115 = 10m - 35

  m = 15 minutes

• 10 = 115m + 35

  m = 0.22 minutes

• 115 = 35m + 10

  m = 3 minutes

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CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour, x, plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.

• 39 = 11x + 6

• 39 = 11x - 6

• 39 = 11 + 6x

• 39 = 66x

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CCSS.6.EE.B.6

CCSS.6.EE.B.7

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

Tags

CCSS.7.EE.B.4A

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation that could be used to find the number of 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

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CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7