Year 10 Solving Linear Equations Worksheet — Level 3 — 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 3 — Practice Set 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.3(x − 2) = −9
Answer: x = −1
- Expand: 3x − 6 = −9
- Add 6: 3x = −3
- Divide by 3: x = −1
2.6(x − 5) = 36
Answer: x = 11
- Expand: 6x − 30 = 36
- Add 30: 6x = 66
- Divide by 6: x = 11
3.8x − 9 = 6x − 27
Answer: x = −9
- Subtract 6x from both sides: 2x − 9 = −27
- Add 9: 2x = −18
- Divide by 2: x = −9
4.2(x + 5) = 0
Answer: x = −5
- Expand: 2x + 10 = 0
- Subtract 10: 2x = −10
- Divide by 2: x = −5
5.2(x + 3) = 16
Answer: x = 5
- Expand: 2x + 6 = 16
- Subtract 6: 2x = 10
- Divide by 2: x = 5
6.3x + 7 = x + 29
Answer: x = 11
- Subtract 1x from both sides: 2x + 7 = 29
- Subtract 7: 2x = 22
- Divide by 2: x = 11
7.3(x + 4) = −9
Answer: x = −7
- Expand: 3x + 12 = −9
- Subtract 12: 3x = −21
- Divide by 3: x = −7
8.3(x + 6) = 9
Answer: x = −3
- Expand: 3x + 18 = 9
- Subtract 18: 3x = −9
- Divide by 3: x = −3
9.6x − 7 = 3x − 19
Answer: x = −4
- Subtract 3x from both sides: 3x − 7 = −19
- Add 7: 3x = −12
- Divide by 3: x = −4
10.4x − 7 = x − 19
Answer: x = −4
- Subtract 1x from both sides: 3x − 7 = −19
- Add 7: 3x = −12
- Divide by 3: x = −4
11.2(x − 8) = −18
Answer: x = −1
- Expand: 2x − 16 = −18
- Add 16: 2x = −2
- Divide by 2: x = −1
12.4(x − 1) = −28
Answer: x = −6
- Expand: 4x − 4 = −28
- Add 4: 4x = −24
- Divide by 4: x = −6
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.