Year 7 Equation Word Problems Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 7 linear equations worksheet.
Year 7 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.Leo thinks of a number, multiplies it by 3 and then adds 14. The answer is 26. Write an equation and find the number.
Answer: 4
- Let the number be n: 3n + 14 = 26
- 3n = 12
- n = 4
2.Kai thinks of a number, multiplies it by 6 and then adds 13. The answer is 67. Write an equation and find the number.
Answer: 9
- Let the number be n: 6n + 13 = 67
- 6n = 54
- n = 9
3.Emma thinks of a number, multiplies it by 4 and then adds 11. The answer is 55. Write an equation and find the number.
Answer: 11
- Let the number be n: 4n + 11 = 55
- 4n = 44
- n = 11
4.Tom thinks of a number, multiplies it by 4 and then adds 14. The answer is 90. Write an equation and find the number.
Answer: 19
- Let the number be n: 4n + 14 = 90
- 4n = 76
- n = 19
5.Tom thinks of a number, multiplies it by 3 and then adds 10. The answer is 25. Write an equation and find the number.
Answer: 5
- Let the number be n: 3n + 10 = 25
- 3n = 15
- n = 5
6.Priya thinks of a number, subtracts 8 and multiplies the result by 4. The answer is 32. What was the number?
Answer: 16
- 4(n − 8) = 32
- n − 8 = 8
- n = 16
7.Jack thinks of a number, multiplies it by 2 and then adds 7. The answer is 43. Write an equation and find the number.
Answer: 18
- Let the number be n: 2n + 7 = 43
- 2n = 36
- n = 18
8.Cooper thinks of a number, subtracts 7 and multiplies the result by 5. The answer is 80. What was the number?
Answer: 23
- 5(n − 7) = 80
- n − 7 = 16
- n = 23
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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