Year 7 Equation Word Problems Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 7 linear equations worksheet.
Year 7 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.Sienna thinks of a number, subtracts 6 and multiplies the result by 4. The answer is 48. What was the number?
Answer: 18
- 4(n − 6) = 48
- n − 6 = 12
- n = 18
2.Isla thinks of a number, multiplies it by 5 and then adds 10. The answer is 45. Write an equation and find the number.
Answer: 7
- Let the number be n: 5n + 10 = 45
- 5n = 35
- n = 7
3.Oliver thinks of a number, multiplies it by 5 and then adds 8. The answer is 23. Write an equation and find the number.
Answer: 3
- Let the number be n: 5n + 8 = 23
- 5n = 15
- n = 3
4.Ava thinks of a number, subtracts 9 and multiplies the result by 2. The answer is 8. What was the number?
Answer: 13
- 2(n − 9) = 8
- n − 9 = 4
- n = 13
5.Isla thinks of a number, multiplies it by 2 and then adds 2. The answer is 30. Write an equation and find the number.
Answer: 14
- Let the number be n: 2n + 2 = 30
- 2n = 28
- n = 14
6.Lucas thinks of a number, multiplies it by 6 and then adds 15. The answer is 45. Write an equation and find the number.
Answer: 5
- Let the number be n: 6n + 15 = 45
- 6n = 30
- n = 5
7.Kai thinks of a number, multiplies it by 6 and then adds 4. The answer is 64. Write an equation and find the number.
Answer: 10
- Let the number be n: 6n + 4 = 64
- 6n = 60
- n = 10
8.Ava 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
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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