7th Grade Equation Word Problems Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 7th Grade linear equations worksheet.
7th 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.Max thinks of a number, subtracts 12 and multiplies the result by 5. The answer is 35. What was the number?
Answer: 19
- 5(n − 12) = 35
- n − 12 = 7
- n = 19
2.Amelia thinks of a number, multiplies it by 6 and then adds 12. The answer is 108. Write an equation and find the number.
Answer: 16
- Let the number be n: 6n + 12 = 108
- 6n = 96
- n = 16
3.Kai thinks of a number, multiplies it by 6 and then adds 11. The answer is 89. Write an equation and find the number.
Answer: 13
- Let the number be n: 6n + 11 = 89
- 6n = 78
- n = 13
4.Ruby thinks of a number, subtracts 11 and multiplies the result by 5. The answer is 65. What was the number?
Answer: 24
- 5(n − 11) = 65
- n − 11 = 13
- n = 24
5.Ethan thinks of a number, multiplies it by 4 and then adds 5. The answer is 53. Write an equation and find the number.
Answer: 12
- Let the number be n: 4n + 5 = 53
- 4n = 48
- n = 12
6.Leo 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
7.Priya thinks of a number, multiplies it by 4 and then adds 5. The answer is 53. Write an equation and find the number.
Answer: 12
- Let the number be n: 4n + 5 = 53
- 4n = 48
- n = 12
8.Archie thinks of a number, multiplies it by 5 and then adds 3. The answer is 58. Write an equation and find the number.
Answer: 11
- Let the number be n: 5n + 3 = 58
- 5n = 55
- 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.
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