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.
1.5x + 1 = 51
Answer: x = 10
- Subtract 1 from both sides: 5x = 50
- Divide both sides by 5: x = 10
2.5x − 14 = −54
Answer: x = −8
- Add 14 to both sides: 5x = −40
- Divide both sides by 5: x = −8
3.2x + 5 = 23
Answer: x = 9
- Subtract 5 from both sides: 2x = 18
- Divide both sides by 2: x = 9
4.7x + 11 = −17
Answer: x = −4
- Subtract 11 from both sides: 7x = −28
- Divide both sides by 7: x = −4
5.8x − 4 = 68
Answer: x = 9
- Add 4 to both sides: 8x = 72
- Divide both sides by 8: x = 9
6.2x + 4 = 28
Answer: x = 12
- Subtract 4 from both sides: 2x = 24
- Divide both sides by 2: x = 12
7.3x + 8 = 14
Answer: x = 2
- Subtract 8 from both sides: 3x = 6
- Divide both sides by 3: x = 2
8.4x − 2 = −34
Answer: x = −8
- Add 2 to both sides: 4x = −32
- Divide both sides by 4: x = −8
9.7x + 7 = 91
Answer: x = 12
- Subtract 7 from both sides: 7x = 84
- Divide both sides by 7: x = 12
10.3x + 2 = −7
Answer: x = −3
- Subtract 2 from both sides: 3x = −9
- Divide both sides by 3: x = −3
11.3x + 14 = 35
Answer: x = 7
- Subtract 14 from both sides: 3x = 21
- Divide both sides by 3: x = 7
12.3x + 13 = −2
Answer: x = −5
- Subtract 13 from both sides: 3x = −15
- Divide both sides by 3: x = −5
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.