Year 9 Equation Word Problems Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 9 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear EquationsYear 9 Equation Word Problems Worksheet — Level 1 — Practice Set 2 — 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.Ethan thinks of a number, multiplies it by 6 and then adds 2. The answer is 62. Write an equation and find the number.
Answer: 10
- Let the number be n: 6n + 2 = 62
- 6n = 60
- n = 10
2.Emma thinks of a number, multiplies it by 5 and then adds 5. The answer is 55. Write an equation and find the number.
Answer: 10
- Let the number be n: 5n + 5 = 55
- 5n = 50
- n = 10
3.Noah thinks of a number, subtracts 12 and multiplies the result by 2. The answer is 8. What was the number?
Answer: 16
- 2(n − 12) = 8
- n − 12 = 4
- n = 16
4.Jack thinks of a number, multiplies it by 3 and then adds 10. The answer is 55. Write an equation and find the number.
Answer: 15
- Let the number be n: 3n + 10 = 55
- 3n = 45
- n = 15
5.Jayden thinks of a number, subtracts 12 and multiplies the result by 4. The answer is 4. What was the number?
Answer: 13
- 4(n − 12) = 4
- n − 12 = 1
- n = 13
6.Layla thinks of a number, multiplies it by 4 and then adds 7. The answer is 47. Write an equation and find the number.
Answer: 10
- Let the number be n: 4n + 7 = 47
- 4n = 40
- n = 10
7.Jack thinks of a number, subtracts 2 and multiplies the result by 3. The answer is 24. What was the number?
Answer: 10
- 3(n − 2) = 24
- n − 2 = 8
- n = 10
8.Amelia thinks of a number, subtracts 6 and multiplies the result by 4. The answer is 44. What was the number?
Answer: 17
- 4(n − 6) = 44
- n − 6 = 11
- n = 17
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.