Year 9 Equation Word Problems Worksheet — Level 2 — 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 2 — 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.Layla thinks of a number, subtracts 3 and multiplies the result by 2. The answer is 6. What was the number?
Answer: 6
- 2(n − 3) = 6
- n − 3 = 3
- n = 6
2.Cooper thinks of a number, subtracts 8 and multiplies the result by 5. The answer is 80. What was the number?
Answer: 24
- 5(n − 8) = 80
- n − 8 = 16
- n = 24
3.The sum of 3 consecutive whole numbers is 66. Find the numbers.
Answer: 21, 22, 23
- n + (n + 1) + (n + 2) = 66
- 3n + 3 = 66
- n = 21
4.Zoe thinks of a number, multiplies it by 2 and then adds 15. The answer is 41. Write an equation and find the number.
Answer: 13
- Let the number be n: 2n + 15 = 41
- 2n = 26
- n = 13
5.A rectangle is 8 cm longer than it is wide. Its perimeter is 36 cm. Find its width and length.
Answer: width 5 cm, length 13 cm
- 2(w + w + 8) = 36
- 4w + 16 = 36
- w = 5, so length = 13
6.A rectangle is 1 cm longer than it is wide. Its perimeter is 74 cm. Find its width and length.
Answer: width 18 cm, length 19 cm
- 2(w + w + 1) = 74
- 4w + 2 = 74
- w = 18, so length = 19
7.The sum of 4 consecutive whole numbers is 222. Find the numbers.
Answer: 54, 55, 56, 57
- n + (n + 1) + (n + 2) + (n + 3) = 222
- 4n + 6 = 222
- n = 54
8.A rectangle is 2 cm longer than it is wide. Its perimeter is 68 cm. Find its width and length.
Answer: width 16 cm, length 18 cm
- 2(w + w + 2) = 68
- 4w + 4 = 68
- w = 16, so length = 18
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.