Year 11 Equation Word Problems Worksheet — Level 2 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 11 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Linear EquationsYear 11 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.The sum of 4 consecutive whole numbers is 170. Find the numbers.
Answer: 41, 42, 43, 44
- n + (n + 1) + (n + 2) + (n + 3) = 170
- 4n + 6 = 170
- n = 41
2.The sum of 2 consecutive whole numbers is 105. Find the numbers.
Answer: 52, 53
- n + (n + 1) = 105
- 2n + 1 = 105
- n = 52
3.Cooper thinks of a number, subtracts 12 and multiplies the result by 2. The answer is 26. What was the number?
Answer: 25
- 2(n − 12) = 26
- n − 12 = 13
- n = 25
4.Zoe thinks of a number, subtracts 8 and multiplies the result by 5. The answer is 60. What was the number?
Answer: 20
- 5(n − 8) = 60
- n − 8 = 12
- n = 20
5.The sum of 3 consecutive whole numbers is 123. Find the numbers.
Answer: 40, 41, 42
- n + (n + 1) + (n + 2) = 123
- 3n + 3 = 123
- n = 40
6.A rectangle is 8 cm longer than it is wide. Its perimeter is 84 cm. Find its width and length.
Answer: width 17 cm, length 25 cm
- 2(w + w + 8) = 84
- 4w + 16 = 84
- w = 17, so length = 25
7.Ruby thinks of a number, multiplies it by 3 and then adds 10. The answer is 58. Write an equation and find the number.
Answer: 16
- Let the number be n: 3n + 10 = 58
- 3n = 48
- n = 16
8.The sum of 4 consecutive whole numbers is 218. Find the numbers.
Answer: 53, 54, 55, 56
- n + (n + 1) + (n + 2) + (n + 3) = 218
- 4n + 6 = 218
- n = 53
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.