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 − 10 = 1
Answer: x = 11
- Add 10 to both sides
- x = 1 + 10 = 11
2.9x = 90
Answer: x = 10
- Divide both sides by 9
- x = 90 ÷ 9 = 10
3.x + 14 = 25
Answer: x = 11
- Subtract 14 from both sides
- x = 25 − 14 = 11
4.x − 10 = −6
Answer: x = 4
- Add 10 to both sides
- x = −6 + 10 = 4
5.9x = 54
Answer: x = 6
- Divide both sides by 9
- x = 54 ÷ 9 = 6
6.x + 12 = 22
Answer: x = 10
- Subtract 12 from both sides
- x = 22 − 12 = 10
7.6x = 54
Answer: x = 9
- Divide both sides by 6
- x = 54 ÷ 6 = 9
8.x − 3 = 5
Answer: x = 8
- Add 3 to both sides
- x = 5 + 3 = 8
9.x − 4 = −3
Answer: x = 1
- Add 4 to both sides
- x = −3 + 4 = 1
10.x − 17 = −7
Answer: x = 10
- Add 17 to both sides
- x = −7 + 17 = 10
11.x + 16 = 23
Answer: x = 7
- Subtract 16 from both sides
- x = 23 − 16 = 7
12.9x = 18
Answer: x = 2
- Divide both sides by 9
- x = 18 ÷ 9 = 2
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.