Success TutoringWorksheets

Year 11 Equation Word Problems Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the Year 11 linear equations worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Linear Equations

Year 11 Equation Word Problems Worksheet — Level 1 — 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.Leo thinks of a number, multiplies it by 6 and then adds 5. The answer is 119. Write an equation and find the number.

Answer: 19

  1. Let the number be n: 6n + 5 = 119
  2. 6n = 114
  3. n = 19
2.Mason thinks of a number, subtracts 11 and multiplies the result by 4. The answer is 48. What was the number?

Answer: 23

  1. 4(n − 11) = 48
  2. n − 11 = 12
  3. n = 23
3.Tom thinks of a number, subtracts 11 and multiplies the result by 5. The answer is 65. What was the number?

Answer: 24

  1. 5(n − 11) = 65
  2. n − 11 = 13
  3. n = 24
4.Kai thinks of a number, multiplies it by 4 and then adds 12. The answer is 88. Write an equation and find the number.

Answer: 19

  1. Let the number be n: 4n + 12 = 88
  2. 4n = 76
  3. n = 19
5.Lucas thinks of a number, multiplies it by 2 and then adds 15. The answer is 51. Write an equation and find the number.

Answer: 18

  1. Let the number be n: 2n + 15 = 51
  2. 2n = 36
  3. n = 18
6.Isla thinks of a number, multiplies it by 6 and then adds 2. The answer is 110. Write an equation and find the number.

Answer: 18

  1. Let the number be n: 6n + 2 = 110
  2. 6n = 108
  3. n = 18
7.Tom thinks of a number, multiplies it by 6 and then adds 14. The answer is 128. Write an equation and find the number.

Answer: 19

  1. Let the number be n: 6n + 14 = 128
  2. 6n = 114
  3. n = 19
8.Grace thinks of a number, multiplies it by 4 and then adds 9. The answer is 57. Write an equation and find the number.

Answer: 12

  1. Let the number be n: 4n + 9 = 57
  2. 4n = 48
  3. n = 12
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: