9th Grade Equation Word Problems Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 9th Grade linear equations worksheet.
9th Grade 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.Emma thinks of a number, multiplies it by 3 and then adds 4. The answer is 58. Write an equation and find the number.
Answer: 18
- Let the number be n: 3n + 4 = 58
- 3n = 54
- n = 18
2.Jack thinks of a number, multiplies it by 2 and then adds 13. The answer is 49. Write an equation and find the number.
Answer: 18
- Let the number be n: 2n + 13 = 49
- 2n = 36
- n = 18
3.Mia thinks of a number, multiplies it by 4 and then adds 13. The answer is 41. Write an equation and find the number.
Answer: 7
- Let the number be n: 4n + 13 = 41
- 4n = 28
- n = 7
4.Cooper thinks of a number, multiplies it by 3 and then adds 3. The answer is 57. Write an equation and find the number.
Answer: 18
- Let the number be n: 3n + 3 = 57
- 3n = 54
- n = 18
5.Ethan thinks of a number, subtracts 3 and multiplies the result by 5. The answer is 75. What was the number?
Answer: 18
- 5(n − 3) = 75
- n − 3 = 15
- n = 18
6.Isla thinks of a number, multiplies it by 6 and then adds 14. The answer is 56. Write an equation and find the number.
Answer: 7
- Let the number be n: 6n + 14 = 56
- 6n = 42
- n = 7
7.Mason thinks of a number, subtracts 3 and multiplies the result by 5. The answer is 65. What was the number?
Answer: 16
- 5(n − 3) = 65
- n − 3 = 13
- n = 16
8.Liam thinks of a number, multiplies it by 3 and then adds 9. The answer is 36. Write an equation and find the number.
Answer: 9
- Let the number be n: 3n + 9 = 36
- 3n = 27
- 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.