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 4 consecutive whole numbers is 238. Find the numbers.
Answer: 58, 59, 60, 61
- n + (n + 1) + (n + 2) + (n + 3) = 238
- 4n + 6 = 238
- n = 58
2.Olivia thinks of a number, multiplies it by 4 and then adds 8. The answer is 36. Write an equation and find the number.
Answer: 7
- Let the number be n: 4n + 8 = 36
- 4n = 28
- n = 7
3.Ava thinks of a number, multiplies it by 3 and then adds 1. The answer is 22. Write an equation and find the number.
Answer: 7
- Let the number be n: 3n + 1 = 22
- 3n = 21
- n = 7
4.A rectangle is 7 cm longer than it is wide. Its perimeter is 54 cm. Find its width and length.
Answer: width 10 cm, length 17 cm
- 2(w + w + 7) = 54
- 4w + 14 = 54
- w = 10, so length = 17
5.Sienna thinks of a number, multiplies it by 4 and then adds 10. The answer is 34. Write an equation and find the number.
Answer: 6
- Let the number be n: 4n + 10 = 34
- 4n = 24
- n = 6
6.The sum of 2 consecutive whole numbers is 51. Find the numbers.
Answer: 25, 26
- n + (n + 1) = 51
- 2n + 1 = 51
- n = 25
7.A rectangle is 8 cm longer than it is wide. Its perimeter is 64 cm. Find its width and length.
Answer: width 12 cm, length 20 cm
- 2(w + w + 8) = 64
- 4w + 16 = 64
- w = 12, so length = 20
8.The sum of 4 consecutive whole numbers is 130. Find the numbers.
Answer: 31, 32, 33, 34
- n + (n + 1) + (n + 2) + (n + 3) = 130
- 4n + 6 = 130
- n = 31
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.