7th Grade Equation Word Problems Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 7th Grade linear equations worksheet.
7th Grade Equation Word Problems Worksheet — Level 1 — Practice Set 4 — 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.Harper thinks of a number, subtracts 2 and multiplies the result by 3. The answer is 69. What was the number?
Answer: 25
- 3(n − 2) = 69
- n − 2 = 23
- n = 25
2.Harper thinks of a number, subtracts 4 and multiplies the result by 4. The answer is 12. What was the number?
Answer: 7
- 4(n − 4) = 12
- n − 4 = 3
- n = 7
3.Archie thinks of a number, subtracts 8 and multiplies the result by 3. The answer is 33. What was the number?
Answer: 19
- 3(n − 8) = 33
- n − 8 = 11
- n = 19
4.Priya thinks of a number, subtracts 5 and multiplies the result by 5. The answer is 90. What was the number?
Answer: 23
- 5(n − 5) = 90
- n − 5 = 18
- n = 23
5.Grace thinks of a number, multiplies it by 3 and then adds 7. The answer is 58. Write an equation and find the number.
Answer: 17
- Let the number be n: 3n + 7 = 58
- 3n = 51
- n = 17
6.Harper thinks of a number, subtracts 9 and multiplies the result by 2. The answer is 18. What was the number?
Answer: 18
- 2(n − 9) = 18
- n − 9 = 9
- n = 18
7.Noah thinks of a number, multiplies it by 6 and then adds 1. The answer is 109. Write an equation and find the number.
Answer: 18
- Let the number be n: 6n + 1 = 109
- 6n = 108
- n = 18
8.Leo thinks of a number, multiplies it by 4 and then adds 4. The answer is 20. Write an equation and find the number.
Answer: 4
- Let the number be n: 4n + 4 = 20
- 4n = 16
- n = 4
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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