Year 8 Solving Linear Equations Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.2x = 14
Answer: x = 7
- Divide both sides by 2
- x = 14 ÷ 2 = 7
2.2x = 24
Answer: x = 12
- Divide both sides by 2
- x = 24 ÷ 2 = 12
3.x + 19 = 26
Answer: x = 7
- Subtract 19 from both sides
- x = 26 − 19 = 7
4.x + 11 = 12
Answer: x = 1
- Subtract 11 from both sides
- x = 12 − 11 = 1
5.3x = 21
Answer: x = 7
- Divide both sides by 3
- x = 21 ÷ 3 = 7
6.x − 20 = −9
Answer: x = 11
- Add 20 to both sides
- x = −9 + 20 = 11
7.x − 8 = 3
Answer: x = 11
- Add 8 to both sides
- x = 3 + 8 = 11
8.6x = 24
Answer: x = 4
- Divide both sides by 6
- x = 24 ÷ 6 = 4
9.3x = 33
Answer: x = 11
- Divide both sides by 3
- x = 33 ÷ 3 = 11
10.x − 5 = −1
Answer: x = 4
- Add 5 to both sides
- x = −1 + 5 = 4
11.2x = 20
Answer: x = 10
- Divide both sides by 2
- x = 20 ÷ 2 = 10
12.5x = 30
Answer: x = 6
- Divide both sides by 5
- x = 30 ÷ 5 = 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.