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.Zoe thinks of a number, multiplies it by 5 and then adds 9. The answer is 84. Write an equation and find the number.
Answer: 15
- Let the number be n: 5n + 9 = 84
- 5n = 75
- n = 15
2.Liam thinks of a number, subtracts 2 and multiplies the result by 2. The answer is 32. What was the number?
Answer: 18
- 2(n − 2) = 32
- n − 2 = 16
- n = 18
3.Ava thinks of a number, multiplies it by 3 and then adds 2. The answer is 20. Write an equation and find the number.
Answer: 6
- Let the number be n: 3n + 2 = 20
- 3n = 18
- n = 6
4.Olivia thinks of a number, subtracts 2 and multiplies the result by 3. The answer is 36. What was the number?
Answer: 14
- 3(n − 2) = 36
- n − 2 = 12
- n = 14
5.The sum of 2 consecutive whole numbers is 35. Find the numbers.
Answer: 17, 18
- n + (n + 1) = 35
- 2n + 1 = 35
- n = 17
6.A rectangle is 2 cm longer than it is wide. Its perimeter is 60 cm. Find its width and length.
Answer: width 14 cm, length 16 cm
- 2(w + w + 2) = 60
- 4w + 4 = 60
- w = 14, so length = 16
7.Mia thinks of a number, subtracts 4 and multiplies the result by 5. The answer is 10. What was the number?
Answer: 6
- 5(n − 4) = 10
- n − 4 = 2
- n = 6
8.Olivia thinks of a number, multiplies it by 2 and then adds 7. The answer is 25. Write an equation and find the number.
Answer: 9
- Let the number be n: 2n + 7 = 25
- 2n = 18
- n = 9
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.