Year 9 Equation Word Problems Worksheet — Level 1 — Practice Set 4 — 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 1 — 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.Leo thinks of a number, subtracts 4 and multiplies the result by 3. The answer is 45. What was the number?
Answer: 19
- 3(n − 4) = 45
- n − 4 = 15
- n = 19
2.Emma thinks of a number, multiplies it by 2 and then adds 7. The answer is 39. Write an equation and find the number.
Answer: 16
- Let the number be n: 2n + 7 = 39
- 2n = 32
- n = 16
3.Leo thinks of a number, subtracts 2 and multiplies the result by 2. The answer is 42. What was the number?
Answer: 23
- 2(n − 2) = 42
- n − 2 = 21
- n = 23
4.Hunter thinks of a number, multiplies it by 2 and then adds 14. The answer is 24. Write an equation and find the number.
Answer: 5
- Let the number be n: 2n + 14 = 24
- 2n = 10
- n = 5
5.Mia thinks of a number, multiplies it by 4 and then adds 5. The answer is 25. Write an equation and find the number.
Answer: 5
- Let the number be n: 4n + 5 = 25
- 4n = 20
- n = 5
6.Sienna thinks of a number, multiplies it by 2 and then adds 5. The answer is 9. Write an equation and find the number.
Answer: 2
- Let the number be n: 2n + 5 = 9
- 2n = 4
- n = 2
7.Grace thinks of a number, multiplies it by 6 and then adds 3. The answer is 99. Write an equation and find the number.
Answer: 16
- Let the number be n: 6n + 3 = 99
- 6n = 96
- n = 16
8.Lucas thinks of a number, multiplies it by 3 and then adds 4. The answer is 22. Write an equation and find the number.
Answer: 6
- Let the number be n: 3n + 4 = 22
- 3n = 18
- n = 6
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.