Year 9 Equation Word Problems Worksheet — Level 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 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.Aisha thinks of a number, subtracts 12 and multiplies the result by 2. The answer is 24. What was the number?
Answer: 24
- 2(n − 12) = 24
- n − 12 = 12
- n = 24
2.Zoe thinks of a number, multiplies it by 2 and then adds 12. The answer is 18. Write an equation and find the number.
Answer: 3
- Let the number be n: 2n + 12 = 18
- 2n = 6
- n = 3
3.A rectangle is 10 cm longer than it is wide. Its perimeter is 96 cm. Find its width and length.
Answer: width 19 cm, length 29 cm
- 2(w + w + 10) = 96
- 4w + 20 = 96
- w = 19, so length = 29
4.Leo thinks of a number, multiplies it by 6 and then adds 3. The answer is 123. Write an equation and find the number.
Answer: 20
- Let the number be n: 6n + 3 = 123
- 6n = 120
- n = 20
5.Jack thinks of a number, multiplies it by 3 and then adds 6. The answer is 12. Write an equation and find the number.
Answer: 2
- Let the number be n: 3n + 6 = 12
- 3n = 6
- n = 2
6.The sum of 4 consecutive whole numbers is 214. Find the numbers.
Answer: 52, 53, 54, 55
- n + (n + 1) + (n + 2) + (n + 3) = 214
- 4n + 6 = 214
- n = 52
7.Grace thinks of a number, multiplies it by 2 and then adds 6. The answer is 34. Write an equation and find the number.
Answer: 14
- Let the number be n: 2n + 6 = 34
- 2n = 28
- n = 14
8.A rectangle is 10 cm longer than it is wide. Its perimeter is 32 cm. Find its width and length.
Answer: width 3 cm, length 13 cm
- 2(w + w + 10) = 32
- 4w + 20 = 32
- w = 3, so length = 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.