Year 10 Solving Linear Equations Worksheet — Level 2 — Practice Set 2 — 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 2 — Practice Set 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.4x + 10 = 54
Answer: x = 11
- Subtract 10 from both sides: 4x = 44
- Divide both sides by 4: x = 11
2.3x + 4 = 37
Answer: x = 11
- Subtract 4 from both sides: 3x = 33
- Divide both sides by 3: x = 11
3.9x + 13 = −68
Answer: x = −9
- Subtract 13 from both sides: 9x = −81
- Divide both sides by 9: x = −9
4.6x − 4 = 50
Answer: x = 9
- Add 4 to both sides: 6x = 54
- Divide both sides by 6: x = 9
5.2x − 9 = 7
Answer: x = 8
- Add 9 to both sides: 2x = 16
- Divide both sides by 2: x = 8
6.5x + 13 = −22
Answer: x = −7
- Subtract 13 from both sides: 5x = −35
- Divide both sides by 5: x = −7
7.7x − 7 = 63
Answer: x = 10
- Add 7 to both sides: 7x = 70
- Divide both sides by 7: x = 10
8.4x − 7 = 13
Answer: x = 5
- Add 7 to both sides: 4x = 20
- Divide both sides by 4: x = 5
9.4x + 5 = −31
Answer: x = −9
- Subtract 5 from both sides: 4x = −36
- Divide both sides by 4: x = −9
10.8x + 1 = 17
Answer: x = 2
- Subtract 1 from both sides: 8x = 16
- Divide both sides by 8: x = 2
11.2x − 1 = −7
Answer: x = −3
- Add 1 to both sides: 2x = −6
- Divide both sides by 2: x = −3
12.6x − 1 = 71
Answer: x = 12
- Add 1 to both sides: 6x = 72
- Divide both sides by 6: x = 12
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.