Year 9 Equation Word Problems Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 9 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear EquationsYear 9 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.Leo thinks of a number, multiplies it by 2 and then adds 15. The answer is 21. Write an equation and find the number.
Answer: 3
- Let the number be n: 2n + 15 = 21
- 2n = 6
- n = 3
2.Zoe thinks of a number, subtracts 6 and multiplies the result by 2. The answer is 2. What was the number?
Answer: 7
- 2(n − 6) = 2
- n − 6 = 1
- n = 7
3.A rectangle is 3 cm longer than it is wide. Its perimeter is 74 cm. Find its width and length.
Answer: width 17 cm, length 20 cm
- 2(w + w + 3) = 74
- 4w + 6 = 74
- w = 17, so length = 20
4.The sum of 4 consecutive whole numbers is 178. Find the numbers.
Answer: 43, 44, 45, 46
- n + (n + 1) + (n + 2) + (n + 3) = 178
- 4n + 6 = 178
- n = 43
5.Lucas thinks of a number, subtracts 6 and multiplies the result by 3. The answer is 42. What was the number?
Answer: 20
- 3(n − 6) = 42
- n − 6 = 14
- n = 20
6.Amelia thinks of a number, subtracts 8 and multiplies the result by 5. The answer is 20. What was the number?
Answer: 12
- 5(n − 8) = 20
- n − 8 = 4
- n = 12
7.The sum of 3 consecutive whole numbers is 177. Find the numbers.
Answer: 58, 59, 60
- n + (n + 1) + (n + 2) = 177
- 3n + 3 = 177
- n = 58
8.Amelia thinks of a number, multiplies it by 2 and then adds 10. The answer is 34. Write an equation and find the number.
Answer: 12
- Let the number be n: 2n + 10 = 34
- 2n = 24
- n = 12
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.