Year 10 Equation Word Problems Worksheet — Level 2 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 10 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear EquationsYear 10 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.Cooper thinks of a number, subtracts 8 and multiplies the result by 4. The answer is 36. What was the number?
Answer: 17
- 4(n − 8) = 36
- n − 8 = 9
- n = 17
2.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
3.The sum of 3 consecutive whole numbers is 42. Find the numbers.
Answer: 13, 14, 15
- n + (n + 1) + (n + 2) = 42
- 3n + 3 = 42
- n = 13
4.Cooper thinks of a number, subtracts 6 and multiplies the result by 3. The answer is 36. What was the number?
Answer: 18
- 3(n − 6) = 36
- n − 6 = 12
- n = 18
5.A rectangle is 3 cm longer than it is wide. Its perimeter is 58 cm. Find its width and length.
Answer: width 13 cm, length 16 cm
- 2(w + w + 3) = 58
- 4w + 6 = 58
- w = 13, so length = 16
6.The sum of 4 consecutive whole numbers is 70. Find the numbers.
Answer: 16, 17, 18, 19
- n + (n + 1) + (n + 2) + (n + 3) = 70
- 4n + 6 = 70
- n = 16
7.A rectangle is 10 cm longer than it is wide. Its perimeter is 76 cm. Find its width and length.
Answer: width 14 cm, length 24 cm
- 2(w + w + 10) = 76
- 4w + 20 = 76
- w = 14, so length = 24
8.The sum of 2 consecutive whole numbers is 99. Find the numbers.
Answer: 49, 50
- n + (n + 1) = 99
- 2n + 1 = 99
- n = 49
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.