Year 10 Solving Linear Equations Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.3x + 10 = 19
Answer: x = 3
- Subtract 10 from both sides: 3x = 9
- Divide both sides by 3: x = 3
2.9x + 3 = 39
Answer: x = 4
- Subtract 3 from both sides: 9x = 36
- Divide both sides by 9: x = 4
3.4x + 4 = 20
Answer: x = 4
- Subtract 4 from both sides: 4x = 16
- Divide both sides by 4: x = 4
4.6x + 2 = 38
Answer: x = 6
- Subtract 2 from both sides: 6x = 36
- Divide both sides by 6: x = 6
5.3x + 5 = −19
Answer: x = −8
- Subtract 5 from both sides: 3x = −24
- Divide both sides by 3: x = −8
6.5x − 8 = −53
Answer: x = −9
- Add 8 to both sides: 5x = −45
- Divide both sides by 5: x = −9
7.8x + 5 = −59
Answer: x = −8
- Subtract 5 from both sides: 8x = −64
- Divide both sides by 8: x = −8
8.8x + 11 = 107
Answer: x = 12
- Subtract 11 from both sides: 8x = 96
- Divide both sides by 8: x = 12
9.3x − 7 = 17
Answer: x = 8
- Add 7 to both sides: 3x = 24
- Divide both sides by 3: x = 8
10.2x − 13 = 5
Answer: x = 9
- Add 13 to both sides: 2x = 18
- Divide both sides by 2: x = 9
11.8x + 14 = −58
Answer: x = −9
- Subtract 14 from both sides: 8x = −72
- Divide both sides by 8: x = −9
12.5x − 5 = 50
Answer: x = 11
- Add 5 to both sides: 5x = 55
- Divide both sides by 5: x = 11
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.