9th Grade Equation Word Problems Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 9th Grade linear equations worksheet.
9th Grade Equation Word Problems Worksheet — Level 1 — 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.Harper thinks of a number, multiplies it by 6 and then adds 6. The answer is 18. Write an equation and find the number.
Answer: 2
- Let the number be n: 6n + 6 = 18
- 6n = 12
- n = 2
2.Hunter thinks of a number, subtracts 8 and multiplies the result by 5. The answer is 40. What was the number?
Answer: 16
- 5(n − 8) = 40
- n − 8 = 8
- n = 16
3.Layla thinks of a number, multiplies it by 2 and then adds 4. The answer is 10. Write an equation and find the number.
Answer: 3
- Let the number be n: 2n + 4 = 10
- 2n = 6
- n = 3
4.Ethan thinks of a number, multiplies it by 4 and then adds 5. The answer is 17. Write an equation and find the number.
Answer: 3
- Let the number be n: 4n + 5 = 17
- 4n = 12
- n = 3
5.Harper thinks of a number, multiplies it by 5 and then adds 7. The answer is 22. Write an equation and find the number.
Answer: 3
- Let the number be n: 5n + 7 = 22
- 5n = 15
- n = 3
6.Leo thinks of a number, subtracts 3 and multiplies the result by 4. The answer is 40. What was the number?
Answer: 13
- 4(n − 3) = 40
- n − 3 = 10
- n = 13
7.Hunter thinks of a number, multiplies it by 5 and then adds 6. The answer is 106. Write an equation and find the number.
Answer: 20
- Let the number be n: 5n + 6 = 106
- 5n = 100
- n = 20
8.Jack thinks of a number, multiplies it by 5 and then adds 4. The answer is 49. Write an equation and find the number.
Answer: 9
- Let the number be n: 5n + 4 = 49
- 5n = 45
- 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.