8th Grade Equation Word Problems Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the 8th Grade linear equations worksheet.
8th 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.Priya thinks of a number, multiplies it by 6 and then adds 6. The answer is 126. Write an equation and find the number.
Answer: 20
- Let the number be n: 6n + 6 = 126
- 6n = 120
- n = 20
2.Grace thinks of a number, subtracts 5 and multiplies the result by 5. The answer is 75. What was the number?
Answer: 20
- 5(n − 5) = 75
- n − 5 = 15
- n = 20
3.Isla thinks of a number, multiplies it by 2 and then adds 11. The answer is 37. Write an equation and find the number.
Answer: 13
- Let the number be n: 2n + 11 = 37
- 2n = 26
- n = 13
4.Amelia thinks of a number, subtracts 11 and multiplies the result by 3. The answer is 27. What was the number?
Answer: 20
- 3(n − 11) = 27
- n − 11 = 9
- n = 20
5.Ruby thinks of a number, multiplies it by 3 and then adds 11. The answer is 32. Write an equation and find the number.
Answer: 7
- Let the number be n: 3n + 11 = 32
- 3n = 21
- n = 7
6.Max thinks of a number, multiplies it by 5 and then adds 2. The answer is 102. Write an equation and find the number.
Answer: 20
- Let the number be n: 5n + 2 = 102
- 5n = 100
- n = 20
7.Aisha thinks of a number, multiplies it by 3 and then adds 5. The answer is 14. Write an equation and find the number.
Answer: 3
- Let the number be n: 3n + 5 = 14
- 3n = 9
- n = 3
8.Isla thinks of a number, multiplies it by 3 and then adds 4. The answer is 31. Write an equation and find the number.
Answer: 9
- Let the number be n: 3n + 4 = 31
- 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.