Year 10 Solving Linear Equations Worksheet — Level 3 — 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 3 — Practice Set 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.4(x − 2) = −36
Answer: x = −7
- Expand: 4x − 8 = −36
- Add 8: 4x = −28
- Divide by 4: x = −7
2.3(x − 2) = 9
Answer: x = 5
- Expand: 3x − 6 = 9
- Add 6: 3x = 15
- Divide by 3: x = 5
3.5x − 2 = x − 22
Answer: x = −5
- Subtract 1x from both sides: 4x − 2 = −22
- Add 2: 4x = −20
- Divide by 4: x = −5
4.5x − 5 = 3x + 15
Answer: x = 10
- Subtract 3x from both sides: 2x − 5 = 15
- Add 5: 2x = 20
- Divide by 2: x = 10
5.3(x − 5) = 18
Answer: x = 11
- Expand: 3x − 15 = 18
- Add 15: 3x = 33
- Divide by 3: x = 11
6.5x + 6 = 3x
Answer: x = −3
- Subtract 3x from both sides: 2x + 6 = 0
- Subtract 6: 2x = −6
- Divide by 2: x = −3
7.6(x + 5) = 18
Answer: x = −2
- Expand: 6x + 30 = 18
- Subtract 30: 6x = −12
- Divide by 6: x = −2
8.3(x − 7) = 6
Answer: x = 9
- Expand: 3x − 21 = 6
- Add 21: 3x = 27
- Divide by 3: x = 9
9.9x + 3 = 2x − 60
Answer: x = −9
- Subtract 2x from both sides: 7x + 3 = −60
- Subtract 3: 7x = −63
- Divide by 7: x = −9
10.8x + 8 = x − 41
Answer: x = −7
- Subtract 1x from both sides: 7x + 8 = −41
- Subtract 8: 7x = −49
- Divide by 7: x = −7
11.9x − 10 = 7x − 28
Answer: x = −9
- Subtract 7x from both sides: 2x − 10 = −28
- Add 10: 2x = −18
- Divide by 2: x = −9
12.8x − 5 = 7x − 12
Answer: x = −7
- Subtract 7x from both sides: x − 5 = −12
- Add 5: 1x = −7
- Divide by 1: x = −7
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.