7th Grade Equation Word Problems Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 7th Grade linear equations worksheet.
7th 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.Olivia thinks of a number, multiplies it by 6 and then adds 1. The answer is 55. Write an equation and find the number.
Answer: 9
- Let the number be n: 6n + 1 = 55
- 6n = 54
- n = 9
2.Leo thinks of a number, subtracts 11 and multiplies the result by 4. The answer is 40. What was the number?
Answer: 21
- 4(n − 11) = 40
- n − 11 = 10
- n = 21
3.Cooper thinks of a number, multiplies it by 6 and then adds 1. The answer is 73. Write an equation and find the number.
Answer: 12
- Let the number be n: 6n + 1 = 73
- 6n = 72
- n = 12
4.Liam thinks of a number, multiplies it by 6 and then adds 9. The answer is 111. Write an equation and find the number.
Answer: 17
- Let the number be n: 6n + 9 = 111
- 6n = 102
- n = 17
5.Ruby thinks of a number, multiplies it by 2 and then adds 7. The answer is 13. Write an equation and find the number.
Answer: 3
- Let the number be n: 2n + 7 = 13
- 2n = 6
- n = 3
6.Leo thinks of a number, subtracts 5 and multiplies the result by 2. The answer is 20. What was the number?
Answer: 15
- 2(n − 5) = 20
- n − 5 = 10
- n = 15
7.Amelia thinks of a number, subtracts 2 and multiplies the result by 4. The answer is 40. What was the number?
Answer: 12
- 4(n − 2) = 40
- n − 2 = 10
- n = 12
8.Mia thinks of a number, multiplies it by 4 and then adds 1. The answer is 57. Write an equation and find the number.
Answer: 14
- Let the number be n: 4n + 1 = 57
- 4n = 56
- n = 14
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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