Year 10 Equation Word Problems Worksheet — Level 2 — Practice Set 3 — 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 3 — 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.Zoe thinks of a number, subtracts 11 and multiplies the result by 5. The answer is 55. What was the number?
Answer: 22
- 5(n − 11) = 55
- n − 11 = 11
- n = 22
2.Leo thinks of a number, subtracts 5 and multiplies the result by 2. The answer is 12. What was the number?
Answer: 11
- 2(n − 5) = 12
- n − 5 = 6
- n = 11
3.Layla thinks of a number, subtracts 9 and multiplies the result by 2. The answer is 4. What was the number?
Answer: 11
- 2(n − 9) = 4
- n − 9 = 2
- n = 11
4.Layla thinks of a number, multiplies it by 3 and then adds 12. The answer is 24. Write an equation and find the number.
Answer: 4
- Let the number be n: 3n + 12 = 24
- 3n = 12
- n = 4
5.A rectangle is 8 cm longer than it is wide. Its perimeter is 40 cm. Find its width and length.
Answer: width 6 cm, length 14 cm
- 2(w + w + 8) = 40
- 4w + 16 = 40
- w = 6, so length = 14
6.The sum of 2 consecutive whole numbers is 19. Find the numbers.
Answer: 9, 10
- n + (n + 1) = 19
- 2n + 1 = 19
- n = 9
7.Mia thinks of a number, subtracts 7 and multiplies the result by 4. The answer is 16. What was the number?
Answer: 11
- 4(n − 7) = 16
- n − 7 = 4
- n = 11
8.Jack thinks of a number, subtracts 3 and multiplies the result by 5. The answer is 75. What was the number?
Answer: 18
- 5(n − 3) = 75
- n − 3 = 15
- n = 18
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.