Year 10 Solving Linear Equations Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 10 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear EquationsYear 10 Solving Linear Equations Worksheet — Level 1 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.x − 8 = −6
Answer: x = 2
- Add 8 to both sides
- x = −6 + 8 = 2
2.x − 6 = −5
Answer: x = 1
- Add 6 to both sides
- x = −5 + 6 = 1
3.x − 10 = −6
Answer: x = 4
- Add 10 to both sides
- x = −6 + 10 = 4
4.x + 3 = 14
Answer: x = 11
- Subtract 3 from both sides
- x = 14 − 3 = 11
5.x − 12 = −10
Answer: x = 2
- Add 12 to both sides
- x = −10 + 12 = 2
6.x − 10 = −7
Answer: x = 3
- Add 10 to both sides
- x = −7 + 10 = 3
7.x − 17 = −10
Answer: x = 7
- Add 17 to both sides
- x = −10 + 17 = 7
8.x − 19 = −17
Answer: x = 2
- Add 19 to both sides
- x = −17 + 19 = 2
9.x + 1 = 7
Answer: x = 6
- Subtract 1 from both sides
- x = 7 − 1 = 6
10.8x = 80
Answer: x = 10
- Divide both sides by 8
- x = 80 ÷ 8 = 10
11.x − 3 = −2
Answer: x = 1
- Add 3 to both sides
- x = −2 + 3 = 1
12.x − 5 = 5
Answer: x = 10
- Add 5 to both sides
- x = 5 + 5 = 10
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.