Year 10 Equation Word Problems Worksheet — Level 2 — Practice Set 2 — 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 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 3 consecutive whole numbers is 69. Find the numbers.
Answer: 22, 23, 24
- n + (n + 1) + (n + 2) = 69
- 3n + 3 = 69
- n = 22
2.The sum of 2 consecutive whole numbers is 113. Find the numbers.
Answer: 56, 57
- n + (n + 1) = 113
- 2n + 1 = 113
- n = 56
3.Chloe thinks of a number, multiplies it by 5 and then adds 1. The answer is 81. Write an equation and find the number.
Answer: 16
- Let the number be n: 5n + 1 = 81
- 5n = 80
- n = 16
4.The sum of 4 consecutive whole numbers is 46. Find the numbers.
Answer: 10, 11, 12, 13
- n + (n + 1) + (n + 2) + (n + 3) = 46
- 4n + 6 = 46
- n = 10
5.Priya thinks of a number, multiplies it by 4 and then adds 4. The answer is 64. Write an equation and find the number.
Answer: 15
- Let the number be n: 4n + 4 = 64
- 4n = 60
- n = 15
6.Emma thinks of a number, subtracts 9 and multiplies the result by 2. The answer is 22. What was the number?
Answer: 20
- 2(n − 9) = 22
- n − 9 = 11
- n = 20
7.Zoe thinks of a number, multiplies it by 3 and then adds 8. The answer is 23. Write an equation and find the number.
Answer: 5
- Let the number be n: 3n + 8 = 23
- 3n = 15
- n = 5
8.The sum of 4 consecutive whole numbers is 214. Find the numbers.
Answer: 52, 53, 54, 55
- n + (n + 1) + (n + 2) + (n + 3) = 214
- 4n + 6 = 214
- n = 52
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.