Year 8 Solving Linear Equations Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 8 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Linear EquationsYear 8 Solving Linear Equations Worksheet — Level 1 — Practice Set 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.x − 4 = 8
Answer: x = 12
- Add 4 to both sides
- x = 8 + 4 = 12
2.x + 14 = 22
Answer: x = 8
- Subtract 14 from both sides
- x = 22 − 14 = 8
3.8x = 48
Answer: x = 6
- Divide both sides by 8
- x = 48 ÷ 8 = 6
4.6x = 12
Answer: x = 2
- Divide both sides by 6
- x = 12 ÷ 6 = 2
5.x + 15 = 19
Answer: x = 4
- Subtract 15 from both sides
- x = 19 − 15 = 4
6.5x = 20
Answer: x = 4
- Divide both sides by 5
- x = 20 ÷ 5 = 4
7.x + 4 = 13
Answer: x = 9
- Subtract 4 from both sides
- x = 13 − 4 = 9
8.x + 14 = 20
Answer: x = 6
- Subtract 14 from both sides
- x = 20 − 14 = 6
9.x − 6 = −5
Answer: x = 1
- Add 6 to both sides
- x = −5 + 6 = 1
10.7x = 21
Answer: x = 3
- Divide both sides by 7
- x = 21 ÷ 7 = 3
11.x − 14 = −5
Answer: x = 9
- Add 14 to both sides
- x = −5 + 14 = 9
12.x + 11 = 20
Answer: x = 9
- Subtract 11 from both sides
- x = 20 − 11 = 9
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.