Success TutoringWorksheets

Year 7 Equation Word Problems Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the Year 7 linear equations worksheet.

Download answers PDFPrint answersBack to worksheet
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Linear Equations

Year 7 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.Ruby thinks of a number, multiplies it by 2 and then adds 6. The answer is 16. Write an equation and find the number.

Answer: 5

  1. Let the number be n: 2n + 6 = 16
  2. 2n = 10
  3. n = 5
2.Harper thinks of a number, subtracts 6 and multiplies the result by 3. The answer is 45. What was the number?

Answer: 21

  1. 3(n − 6) = 45
  2. n − 6 = 15
  3. n = 21
3.Layla thinks of a number, subtracts 10 and multiplies the result by 5. The answer is 20. What was the number?

Answer: 14

  1. 5(n − 10) = 20
  2. n − 10 = 4
  3. n = 14
4.Ethan thinks of a number, multiplies it by 5 and then adds 12. The answer is 82. Write an equation and find the number.

Answer: 14

  1. Let the number be n: 5n + 12 = 82
  2. 5n = 70
  3. n = 14
5.Jack thinks of a number, multiplies it by 2 and then adds 4. The answer is 30. Write an equation and find the number.

Answer: 13

  1. Let the number be n: 2n + 4 = 30
  2. 2n = 26
  3. n = 13
6.Leo thinks of a number, multiplies it by 2 and then adds 13. The answer is 23. Write an equation and find the number.

Answer: 5

  1. Let the number be n: 2n + 13 = 23
  2. 2n = 10
  3. n = 5
7.Mason thinks of a number, multiplies it by 6 and then adds 9. The answer is 93. Write an equation and find the number.

Answer: 14

  1. Let the number be n: 6n + 9 = 93
  2. 6n = 84
  3. n = 14
8.Olivia thinks of a number, subtracts 2 and multiplies the result by 2. The answer is 6. What was the number?

Answer: 5

  1. 2(n − 2) = 6
  2. n − 2 = 3
  3. n = 5
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: