9th Grade Equation Word Problems Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 9th Grade linear equations worksheet.
9th Grade Equation Word Problems Worksheet — Level 1 — Practice Set 2 — 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.Layla thinks of a number, multiplies it by 4 and then adds 5. The answer is 49. Write an equation and find the number.
Answer: 11
- Let the number be n: 4n + 5 = 49
- 4n = 44
- n = 11
2.Noah thinks of a number, multiplies it by 3 and then adds 2. The answer is 35. Write an equation and find the number.
Answer: 11
- Let the number be n: 3n + 2 = 35
- 3n = 33
- n = 11
3.Chloe thinks of a number, multiplies it by 2 and then adds 2. The answer is 34. Write an equation and find the number.
Answer: 16
- Let the number be n: 2n + 2 = 34
- 2n = 32
- n = 16
4.Sienna thinks of a number, subtracts 10 and multiplies the result by 4. The answer is 32. What was the number?
Answer: 18
- 4(n − 10) = 32
- n − 10 = 8
- n = 18
5.Ava thinks of a number, subtracts 8 and multiplies the result by 2. The answer is 18. What was the number?
Answer: 17
- 2(n − 8) = 18
- n − 8 = 9
- n = 17
6.Jayden thinks of a number, multiplies it by 3 and then adds 15. The answer is 57. Write an equation and find the number.
Answer: 14
- Let the number be n: 3n + 15 = 57
- 3n = 42
- n = 14
7.Kai thinks of a number, subtracts 2 and multiplies the result by 4. The answer is 68. What was the number?
Answer: 19
- 4(n − 2) = 68
- n − 2 = 17
- n = 19
8.Liam thinks of a number, multiplies it by 4 and then adds 15. The answer is 35. Write an equation and find the number.
Answer: 5
- Let the number be n: 4n + 15 = 35
- 4n = 20
- n = 5
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.