Year 9 Equation Word Problems Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 9 linear equations worksheet.
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.Isla thinks of a number, multiplies it by 4 and then adds 11. The answer is 43. Write an equation and find the number.
Answer: 8
- Let the number be n: 4n + 11 = 43
- 4n = 32
- n = 8
2.Harper thinks of a number, subtracts 5 and multiplies the result by 2. The answer is 26. What was the number?
Answer: 18
- 2(n − 5) = 26
- n − 5 = 13
- n = 18
3.Jack thinks of a number, subtracts 3 and multiplies the result by 4. The answer is 32. What was the number?
Answer: 11
- 4(n − 3) = 32
- n − 3 = 8
- n = 11
4.Cooper thinks of a number, multiplies it by 6 and then adds 7. The answer is 31. Write an equation and find the number.
Answer: 4
- Let the number be n: 6n + 7 = 31
- 6n = 24
- n = 4
5.Emma thinks of a number, subtracts 5 and multiplies the result by 2. The answer is 30. What was the number?
Answer: 20
- 2(n − 5) = 30
- n − 5 = 15
- n = 20
6.Ava thinks of a number, multiplies it by 5 and then adds 1. The answer is 36. Write an equation and find the number.
Answer: 7
- Let the number be n: 5n + 1 = 36
- 5n = 35
- n = 7
7.Ethan thinks of a number, subtracts 6 and multiplies the result by 5. The answer is 85. What was the number?
Answer: 23
- 5(n − 6) = 85
- n − 6 = 17
- n = 23
8.Jayden thinks of a number, subtracts 11 and multiplies the result by 4. The answer is 8. What was the number?
Answer: 13
- 4(n − 11) = 8
- n − 11 = 2
- n = 13
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.