Year 8 Equation Word Problems Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 8 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Linear EquationsYear 8 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.Ava thinks of a number, subtracts 4 and multiplies the result by 2. The answer is 28. What was the number?
Answer: 18
- 2(n − 4) = 28
- n − 4 = 14
- n = 18
2.Archie thinks of a number, subtracts 6 and multiplies the result by 4. The answer is 8. What was the number?
Answer: 8
- 4(n − 6) = 8
- n − 6 = 2
- n = 8
3.The sum of 3 consecutive whole numbers is 27. Find the numbers.
Answer: 8, 9, 10
- n + (n + 1) + (n + 2) = 27
- 3n + 3 = 27
- n = 8
4.Ruby thinks of a number, multiplies it by 3 and then adds 5. The answer is 35. Write an equation and find the number.
Answer: 10
- Let the number be n: 3n + 5 = 35
- 3n = 30
- n = 10
5.A rectangle is 8 cm longer than it is wide. Its perimeter is 68 cm. Find its width and length.
Answer: width 13 cm, length 21 cm
- 2(w + w + 8) = 68
- 4w + 16 = 68
- w = 13, so length = 21
6.Priya thinks of a number, subtracts 3 and multiplies the result by 5. The answer is 95. What was the number?
Answer: 22
- 5(n − 3) = 95
- n − 3 = 19
- n = 22
7.The sum of 4 consecutive whole numbers is 234. Find the numbers.
Answer: 57, 58, 59, 60
- n + (n + 1) + (n + 2) + (n + 3) = 234
- 4n + 6 = 234
- n = 57
8.The sum of 4 consecutive whole numbers is 98. Find the numbers.
Answer: 23, 24, 25, 26
- n + (n + 1) + (n + 2) + (n + 3) = 98
- 4n + 6 = 98
- n = 23
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.