Year 9 Equation Word Problems Worksheet — Level 2 — Practice Set 4 — 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 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.The sum of 3 consecutive whole numbers is 63. Find the numbers.
Answer: 20, 21, 22
- n + (n + 1) + (n + 2) = 63
- 3n + 3 = 63
- n = 20
2.The sum of 2 consecutive whole numbers is 49. Find the numbers.
Answer: 24, 25
- n + (n + 1) = 49
- 2n + 1 = 49
- n = 24
3.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
4.The sum of 3 consecutive whole numbers is 174. Find the numbers.
Answer: 57, 58, 59
- n + (n + 1) + (n + 2) = 174
- 3n + 3 = 174
- n = 57
5.Ruby thinks of a number, multiplies it by 2 and then adds 15. The answer is 25. Write an equation and find the number.
Answer: 5
- Let the number be n: 2n + 15 = 25
- 2n = 10
- n = 5
6.Jack thinks of a number, subtracts 7 and multiplies the result by 2. The answer is 10. What was the number?
Answer: 12
- 2(n − 7) = 10
- n − 7 = 5
- n = 12
7.Ruby thinks of a number, multiplies it by 6 and then adds 3. The answer is 45. Write an equation and find the number.
Answer: 7
- Let the number be n: 6n + 3 = 45
- 6n = 42
- n = 7
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.