8th Grade Equation Word Problems Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 8th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Linear Equations8th 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.Jack thinks of a number, subtracts 9 and multiplies the result by 5. The answer is 60. What was the number?
Answer: 21
- 5(n − 9) = 60
- n − 9 = 12
- n = 21
2.Jack thinks of a number, multiplies it by 4 and then adds 5. The answer is 21. Write an equation and find the number.
Answer: 4
- Let the number be n: 4n + 5 = 21
- 4n = 16
- n = 4
3.Isla thinks of a number, multiplies it by 3 and then adds 11. The answer is 53. Write an equation and find the number.
Answer: 14
- Let the number be n: 3n + 11 = 53
- 3n = 42
- n = 14
4.Archie thinks of a number, subtracts 5 and multiplies the result by 4. The answer is 76. What was the number?
Answer: 24
- 4(n − 5) = 76
- n − 5 = 19
- n = 24
5.Amelia thinks of a number, multiplies it by 2 and then adds 14. The answer is 42. Write an equation and find the number.
Answer: 14
- Let the number be n: 2n + 14 = 42
- 2n = 28
- n = 14
6.Kai thinks of a number, subtracts 5 and multiplies the result by 2. The answer is 8. What was the number?
Answer: 9
- 2(n − 5) = 8
- n − 5 = 4
- n = 9
7.Ethan thinks of a number, multiplies it by 4 and then adds 3. The answer is 67. Write an equation and find the number.
Answer: 16
- Let the number be n: 4n + 3 = 67
- 4n = 64
- n = 16
8.Layla thinks of a number, multiplies it by 6 and then adds 1. The answer is 61. Write an equation and find the number.
Answer: 10
- Let the number be n: 6n + 1 = 61
- 6n = 60
- n = 10
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.