10th Grade Equation Word Problems Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 10th Grade linear equations worksheet.
10th 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.Grace thinks of a number, subtracts 4 and multiplies the result by 4. The answer is 68. What was the number?
Answer: 21
- 4(n − 4) = 68
- n − 4 = 17
- n = 21
2.Noah thinks of a number, subtracts 3 and multiplies the result by 5. The answer is 25. What was the number?
Answer: 8
- 5(n − 3) = 25
- n − 3 = 5
- n = 8
3.Hunter thinks of a number, multiplies it by 2 and then adds 6. The answer is 34. Write an equation and find the number.
Answer: 14
- Let the number be n: 2n + 6 = 34
- 2n = 28
- n = 14
4.Ava thinks of a number, multiplies it by 3 and then adds 4. The answer is 16. Write an equation and find the number.
Answer: 4
- Let the number be n: 3n + 4 = 16
- 3n = 12
- n = 4
5.Mason thinks of a number, subtracts 6 and multiplies the result by 5. The answer is 45. What was the number?
Answer: 15
- 5(n − 6) = 45
- n − 6 = 9
- n = 15
6.Jayden thinks of a number, multiplies it by 4 and then adds 12. The answer is 28. Write an equation and find the number.
Answer: 4
- Let the number be n: 4n + 12 = 28
- 4n = 16
- n = 4
7.Jayden thinks of a number, multiplies it by 5 and then adds 9. The answer is 34. Write an equation and find the number.
Answer: 5
- Let the number be n: 5n + 9 = 34
- 5n = 25
- n = 5
8.Harper thinks of a number, multiplies it by 2 and then adds 9. The answer is 31. Write an equation and find the number.
Answer: 11
- Let the number be n: 2n + 9 = 31
- 2n = 22
- n = 11
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.