Success TutoringWorksheets

8th Grade Equation Word Problems Worksheet — Level 1 — Practice Set 4 — Answers

Answer sheet with worked solutions for the 8th Grade linear equations worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Linear Equations

8th Grade Equation Word Problems Worksheet — Level 1 — Practice Set 4 — Answers

For each problem, choose a letter for the unknown, write an equation, solve it, and check your answer in the words of the problem.

1.Chloe thinks of a number, subtracts 7 and multiplies the result by 2. The answer is 28. What was the number?

Answer: 21

  1. 2(n − 7) = 28
  2. n − 7 = 14
  3. n = 21
2.Max thinks of a number, subtracts 6 and multiplies the result by 2. The answer is 14. What was the number?

Answer: 13

  1. 2(n − 6) = 14
  2. n − 6 = 7
  3. n = 13
3.Amelia thinks of a number, multiplies it by 3 and then adds 13. The answer is 40. Write an equation and find the number.

Answer: 9

  1. Let the number be n: 3n + 13 = 40
  2. 3n = 27
  3. n = 9
4.Max thinks of a number, multiplies it by 5 and then adds 15. The answer is 95. Write an equation and find the number.

Answer: 16

  1. Let the number be n: 5n + 15 = 95
  2. 5n = 80
  3. n = 16
5.Zoe thinks of a number, multiplies it by 4 and then adds 15. The answer is 83. Write an equation and find the number.

Answer: 17

  1. Let the number be n: 4n + 15 = 83
  2. 4n = 68
  3. n = 17
6.Hunter thinks of a number, multiplies it by 5 and then adds 12. The answer is 77. Write an equation and find the number.

Answer: 13

  1. Let the number be n: 5n + 12 = 77
  2. 5n = 65
  3. n = 13
7.Sienna thinks of a number, multiplies it by 3 and then adds 15. The answer is 24. Write an equation and find the number.

Answer: 3

  1. Let the number be n: 3n + 15 = 24
  2. 3n = 9
  3. n = 3
8.Hunter thinks of a number, subtracts 10 and multiplies the result by 4. The answer is 24. What was the number?

Answer: 16

  1. 4(n − 10) = 24
  2. n − 10 = 6
  3. n = 16
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Marking tips

  • Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
  • For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
  • Celebrate what went well first, then pick one thing to work on next.

Great work. Here's what to try next: