Success TutoringWorksheets

Year 9 Equation Word Problems Worksheet — Level 1 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 9 linear equations worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear Equations

Year 9 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.Mia thinks of a number, multiplies it by 2 and then adds 7. The answer is 29. Write an equation and find the number.

Answer: 11

  1. Let the number be n: 2n + 7 = 29
  2. 2n = 22
  3. n = 11
2.Layla thinks of a number, subtracts 3 and multiplies the result by 4. The answer is 80. What was the number?

Answer: 23

  1. 4(n − 3) = 80
  2. n − 3 = 20
  3. n = 23
3.Leo thinks of a number, subtracts 7 and multiplies the result by 2. The answer is 36. What was the number?

Answer: 25

  1. 2(n − 7) = 36
  2. n − 7 = 18
  3. n = 25
4.Sienna thinks of a number, multiplies it by 3 and then adds 1. The answer is 58. Write an equation and find the number.

Answer: 19

  1. Let the number be n: 3n + 1 = 58
  2. 3n = 57
  3. n = 19
5.Noah thinks of a number, multiplies it by 4 and then adds 15. The answer is 59. Write an equation and find the number.

Answer: 11

  1. Let the number be n: 4n + 15 = 59
  2. 4n = 44
  3. n = 11
6.Archie thinks of a number, multiplies it by 3 and then adds 10. The answer is 67. Write an equation and find the number.

Answer: 19

  1. Let the number be n: 3n + 10 = 67
  2. 3n = 57
  3. n = 19
7.Lucas thinks of a number, multiplies it by 2 and then adds 14. The answer is 44. Write an equation and find the number.

Answer: 15

  1. Let the number be n: 2n + 14 = 44
  2. 2n = 30
  3. n = 15
8.Sienna thinks of a number, multiplies it by 3 and then adds 14. The answer is 32. Write an equation and find the number.

Answer: 6

  1. Let the number be n: 3n + 14 = 32
  2. 3n = 18
  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: