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.Layla thinks of a number, multiplies it by 3 and then adds 3. The answer is 63. Write an equation and find the number.
Answer: 20
- Let the number be n: 3n + 3 = 63
- 3n = 60
- n = 20
2.Emma thinks of a number, subtracts 11 and multiplies the result by 5. The answer is 50. What was the number?
Answer: 21
- 5(n − 11) = 50
- n − 11 = 10
- n = 21
3.Zoe thinks of a number, subtracts 5 and multiplies the result by 3. The answer is 30. What was the number?
Answer: 15
- 3(n − 5) = 30
- n − 5 = 10
- n = 15
4.Layla thinks of a number, subtracts 4 and multiplies the result by 3. The answer is 9. What was the number?
Answer: 7
- 3(n − 4) = 9
- n − 4 = 3
- n = 7
5.Layla thinks of a number, multiplies it by 2 and then adds 11. The answer is 31. Write an equation and find the number.
Answer: 10
- Let the number be n: 2n + 11 = 31
- 2n = 20
- n = 10
6.Aisha thinks of a number, multiplies it by 5 and then adds 2. The answer is 92. Write an equation and find the number.
Answer: 18
- Let the number be n: 5n + 2 = 92
- 5n = 90
- n = 18
7.Harper thinks of a number, subtracts 8 and multiplies the result by 3. The answer is 39. What was the number?
Answer: 21
- 3(n − 8) = 39
- n − 8 = 13
- n = 21
8.Kai thinks of a number, subtracts 12 and multiplies the result by 2. The answer is 14. What was the number?
Answer: 19
- 2(n − 12) = 14
- 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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