Success TutoringWorksheets

Year 10 Equation Word Problems Worksheet — Level 1 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 10 linear equations worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear Equations

Year 10 Equation Word Problems Worksheet — Level 1 — Practice Set 3 — 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.Mason thinks of a number, subtracts 5 and multiplies the result by 3. The answer is 36. What was the number?

Answer: 17

  1. 3(n − 5) = 36
  2. n − 5 = 12
  3. n = 17
2.Tom thinks of a number, multiplies it by 2 and then adds 10. The answer is 28. Write an equation and find the number.

Answer: 9

  1. Let the number be n: 2n + 10 = 28
  2. 2n = 18
  3. n = 9
3.Noah thinks of a number, subtracts 8 and multiplies the result by 3. The answer is 27. What was the number?

Answer: 17

  1. 3(n − 8) = 27
  2. n − 8 = 9
  3. n = 17
4.Priya thinks of a number, multiplies it by 3 and then adds 14. The answer is 41. Write an equation and find the number.

Answer: 9

  1. Let the number be n: 3n + 14 = 41
  2. 3n = 27
  3. n = 9
5.Jack thinks of a number, subtracts 4 and multiplies the result by 4. The answer is 8. What was the number?

Answer: 6

  1. 4(n − 4) = 8
  2. n − 4 = 2
  3. n = 6
6.Sienna thinks of a number, multiplies it by 4 and then adds 9. The answer is 45. Write an equation and find the number.

Answer: 9

  1. Let the number be n: 4n + 9 = 45
  2. 4n = 36
  3. n = 9
7.Hunter thinks of a number, subtracts 5 and multiplies the result by 5. The answer is 80. What was the number?

Answer: 21

  1. 5(n − 5) = 80
  2. n − 5 = 16
  3. n = 21
8.Max thinks of a number, multiplies it by 2 and then adds 4. The answer is 40. Write an equation and find the number.

Answer: 18

  1. Let the number be n: 2n + 4 = 40
  2. 2n = 36
  3. n = 18
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: