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.The sum of 2 consecutive whole numbers is 87. Find the numbers.
Answer: 43, 44
- n + (n + 1) = 87
- 2n + 1 = 87
- n = 43
2.A rectangle is 7 cm longer than it is wide. Its perimeter is 30 cm. Find its width and length.
Answer: width 4 cm, length 11 cm
- 2(w + w + 7) = 30
- 4w + 14 = 30
- w = 4, so length = 11
3.Grace thinks of a number, multiplies it by 4 and then adds 1. The answer is 53. Write an equation and find the number.
Answer: 13
- Let the number be n: 4n + 1 = 53
- 4n = 52
- n = 13
4.Chloe thinks of a number, multiplies it by 2 and then adds 6. The answer is 28. Write an equation and find the number.
Answer: 11
- Let the number be n: 2n + 6 = 28
- 2n = 22
- n = 11
5.The sum of 4 consecutive whole numbers is 242. Find the numbers.
Answer: 59, 60, 61, 62
- n + (n + 1) + (n + 2) + (n + 3) = 242
- 4n + 6 = 242
- n = 59
6.The sum of 4 consecutive whole numbers is 30. Find the numbers.
Answer: 6, 7, 8, 9
- n + (n + 1) + (n + 2) + (n + 3) = 30
- 4n + 6 = 30
- n = 6
7.A rectangle is 1 cm longer than it is wide. Its perimeter is 54 cm. Find its width and length.
Answer: width 13 cm, length 14 cm
- 2(w + w + 1) = 54
- 4w + 2 = 54
- w = 13, so length = 14
8.The sum of 3 consecutive whole numbers is 105. Find the numbers.
Answer: 34, 35, 36
- n + (n + 1) + (n + 2) = 105
- 3n + 3 = 105
- n = 34
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.