Year 10 Solving Linear Equations Worksheet — Level 2 — Practice Set 3 — 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 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.3x + 10 = 46
Answer: x = 12
- Subtract 10 from both sides: 3x = 36
- Divide both sides by 3: x = 12
2.2x + 4 = −4
Answer: x = −4
- Subtract 4 from both sides: 2x = −8
- Divide both sides by 2: x = −4
3.5x + 10 = −5
Answer: x = −3
- Subtract 10 from both sides: 5x = −15
- Divide both sides by 5: x = −3
4.6x + 8 = −16
Answer: x = −4
- Subtract 8 from both sides: 6x = −24
- Divide both sides by 6: x = −4
5.5x + 1 = 36
Answer: x = 7
- Subtract 1 from both sides: 5x = 35
- Divide both sides by 5: x = 7
6.2x + 2 = 24
Answer: x = 11
- Subtract 2 from both sides: 2x = 22
- Divide both sides by 2: x = 11
7.4x − 2 = −22
Answer: x = −5
- Add 2 to both sides: 4x = −20
- Divide both sides by 4: x = −5
8.2x + 2 = 6
Answer: x = 2
- Subtract 2 from both sides: 2x = 4
- Divide both sides by 2: x = 2
9.9x + 11 = −52
Answer: x = −7
- Subtract 11 from both sides: 9x = −63
- Divide both sides by 9: x = −7
10.2x + 5 = 1
Answer: x = −2
- Subtract 5 from both sides: 2x = −4
- Divide both sides by 2: x = −2
11.9x + 5 = 104
Answer: x = 11
- Subtract 5 from both sides: 9x = 99
- Divide both sides by 9: x = 11
12.4x − 8 = −16
Answer: x = −2
- Add 8 to both sides: 4x = −8
- Divide both sides by 4: x = −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.