Success TutoringWorksheets

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

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

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Linear Equations

Year 8 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.Aisha thinks of a number, multiplies it by 5 and then adds 2. The answer is 77. Write an equation and find the number.

Answer: 15

  1. Let the number be n: 5n + 2 = 77
  2. 5n = 75
  3. n = 15
2.Liam thinks of a number, multiplies it by 2 and then adds 11. The answer is 37. Write an equation and find the number.

Answer: 13

  1. Let the number be n: 2n + 11 = 37
  2. 2n = 26
  3. n = 13
3.Cooper thinks of a number, subtracts 3 and multiplies the result by 3. The answer is 6. What was the number?

Answer: 5

  1. 3(n − 3) = 6
  2. n − 3 = 2
  3. n = 5
4.Grace thinks of a number, multiplies it by 5 and then adds 6. The answer is 21. Write an equation and find the number.

Answer: 3

  1. Let the number be n: 5n + 6 = 21
  2. 5n = 15
  3. n = 3
5.Mia thinks of a number, subtracts 4 and multiplies the result by 2. The answer is 14. What was the number?

Answer: 11

  1. 2(n − 4) = 14
  2. n − 4 = 7
  3. n = 11
6.Mason thinks of a number, multiplies it by 5 and then adds 3. The answer is 48. Write an equation and find the number.

Answer: 9

  1. Let the number be n: 5n + 3 = 48
  2. 5n = 45
  3. n = 9
7.Tom thinks of a number, multiplies it by 3 and then adds 6. The answer is 36. Write an equation and find the number.

Answer: 10

  1. Let the number be n: 3n + 6 = 36
  2. 3n = 30
  3. n = 10
8.Amelia thinks of a number, multiplies it by 5 and then adds 10. The answer is 40. Write an equation and find the number.

Answer: 6

  1. Let the number be n: 5n + 10 = 40
  2. 5n = 30
  3. n = 6
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: