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.Ethan thinks of a number, subtracts 3 and multiplies the result by 2. The answer is 32. What was the number?
Answer: 19
- 2(n − 3) = 32
- n − 3 = 16
- n = 19
2.Emma thinks of a number, multiplies it by 6 and then adds 14. The answer is 32. Write an equation and find the number.
Answer: 3
- Let the number be n: 6n + 14 = 32
- 6n = 18
- n = 3
3.Hunter thinks of a number, subtracts 9 and multiplies the result by 4. The answer is 48. What was the number?
Answer: 21
- 4(n − 9) = 48
- n − 9 = 12
- n = 21
4.A rectangle is 3 cm longer than it is wide. Its perimeter is 86 cm. Find its width and length.
Answer: width 20 cm, length 23 cm
- 2(w + w + 3) = 86
- 4w + 6 = 86
- w = 20, so length = 23
5.Ethan thinks of a number, subtracts 9 and multiplies the result by 3. The answer is 33. What was the number?
Answer: 20
- 3(n − 9) = 33
- n − 9 = 11
- n = 20
6.The sum of 2 consecutive whole numbers is 17. Find the numbers.
Answer: 8, 9
- n + (n + 1) = 17
- 2n + 1 = 17
- n = 8
7.Layla thinks of a number, multiplies it by 5 and then adds 14. The answer is 79. Write an equation and find the number.
Answer: 13
- Let the number be n: 5n + 14 = 79
- 5n = 65
- n = 13
8.The sum of 3 consecutive whole numbers is 111. Find the numbers.
Answer: 36, 37, 38
- n + (n + 1) + (n + 2) = 111
- 3n + 3 = 111
- n = 36
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.