10th Grade Equation Word Problems Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the 10th Grade linear equations worksheet.
10th Grade Equation Word Problems Worksheet — Level 1 — 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.Mia thinks of a number, subtracts 10 and multiplies the result by 2. The answer is 14. What was the number?
Answer: 17
- 2(n − 10) = 14
- n − 10 = 7
- n = 17
2.Noah thinks of a number, multiplies it by 6 and then adds 14. The answer is 44. Write an equation and find the number.
Answer: 5
- Let the number be n: 6n + 14 = 44
- 6n = 30
- n = 5
3.Ava thinks of a number, multiplies it by 2 and then adds 12. The answer is 40. Write an equation and find the number.
Answer: 14
- Let the number be n: 2n + 12 = 40
- 2n = 28
- n = 14
4.Aisha thinks of a number, multiplies it by 6 and then adds 1. The answer is 43. Write an equation and find the number.
Answer: 7
- Let the number be n: 6n + 1 = 43
- 6n = 42
- n = 7
5.Cooper thinks of a number, multiplies it by 6 and then adds 12. The answer is 60. Write an equation and find the number.
Answer: 8
- Let the number be n: 6n + 12 = 60
- 6n = 48
- n = 8
6.Sienna thinks of a number, subtracts 8 and multiplies the result by 5. The answer is 5. What was the number?
Answer: 9
- 5(n − 8) = 5
- n − 8 = 1
- n = 9
7.Mason thinks of a number, multiplies it by 2 and then adds 10. The answer is 22. Write an equation and find the number.
Answer: 6
- Let the number be n: 2n + 10 = 22
- 2n = 12
- n = 6
8.Isla thinks of a number, multiplies it by 3 and then adds 10. The answer is 46. Write an equation and find the number.
Answer: 12
- Let the number be n: 3n + 10 = 46
- 3n = 36
- n = 12
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.