Year 9 Equation Word Problems Worksheet — Level 1 — 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 — 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.Sienna thinks of a number, subtracts 7 and multiplies the result by 3. The answer is 48. What was the number?
Answer: 23
- 3(n − 7) = 48
- n − 7 = 16
- n = 23
2.Tom thinks of a number, subtracts 7 and multiplies the result by 4. The answer is 56. What was the number?
Answer: 21
- 4(n − 7) = 56
- n − 7 = 14
- n = 21
3.Archie thinks of a number, subtracts 6 and multiplies the result by 2. The answer is 28. What was the number?
Answer: 20
- 2(n − 6) = 28
- n − 6 = 14
- n = 20
4.Archie thinks of a number, subtracts 8 and multiplies the result by 3. The answer is 48. What was the number?
Answer: 24
- 3(n − 8) = 48
- n − 8 = 16
- n = 24
5.Leo thinks of a number, subtracts 5 and multiplies the result by 3. The answer is 45. What was the number?
Answer: 20
- 3(n − 5) = 45
- n − 5 = 15
- n = 20
6.Ruby thinks of a number, multiplies it by 5 and then adds 4. The answer is 39. Write an equation and find the number.
Answer: 7
- Let the number be n: 5n + 4 = 39
- 5n = 35
- n = 7
7.Jayden thinks of a number, subtracts 6 and multiplies the result by 5. The answer is 10. What was the number?
Answer: 8
- 5(n − 6) = 10
- n − 6 = 2
- n = 8
8.Oliver thinks of a number, subtracts 10 and multiplies the result by 4. The answer is 36. What was the number?
Answer: 19
- 4(n − 10) = 36
- n − 10 = 9
- n = 19
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.