Year 7 Solving Linear Equations Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 7 linear equations worksheet.
Year 7 · Mathematics · Linear Equations
Year 7 Solving Linear Equations Worksheet — Level 1 — Answers
Success Tutoring
Solve each equation. Show every step and check your answer by substituting it back in.
1.x − 20 = −19
Answer: x = 1
- Add 20 to both sides
- x = −19 + 20 = 1
2.6x = 72
Answer: x = 12
- Divide both sides by 6
- x = 72 ÷ 6 = 12
3.x − 7 = −4
Answer: x = 3
- Add 7 to both sides
- x = −4 + 7 = 3
4.x + 9 = 16
Answer: x = 7
- Subtract 9 from both sides
- x = 16 − 9 = 7
5.x − 7 = 4
Answer: x = 11
- Add 7 to both sides
- x = 4 + 7 = 11
6.x + 2 = 5
Answer: x = 3
- Subtract 2 from both sides
- x = 5 − 2 = 3
7.x − 3 = 7
Answer: x = 10
- Add 3 to both sides
- x = 7 + 3 = 10
8.x − 18 = −12
Answer: x = 6
- Add 18 to both sides
- x = −12 + 18 = 6
9.x − 16 = −15
Answer: x = 1
- Add 16 to both sides
- x = −15 + 16 = 1
10.x + 13 = 23
Answer: x = 10
- Subtract 13 from both sides
- x = 23 − 13 = 10
11.x + 16 = 22
Answer: x = 6
- Subtract 16 from both sides
- x = 22 − 16 = 6
12.7x = 56
Answer: x = 8
- Divide both sides by 7
- x = 56 ÷ 7 = 8
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.