Year 8 Solving Linear Equations Worksheet — Level 1 — Practice Set 3 — 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 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.3x = 27
Answer: x = 9
- Divide both sides by 3
- x = 27 ÷ 3 = 9
2.5x = 30
Answer: x = 6
- Divide both sides by 5
- x = 30 ÷ 5 = 6
3.6x = 36
Answer: x = 6
- Divide both sides by 6
- x = 36 ÷ 6 = 6
4.x + 19 = 31
Answer: x = 12
- Subtract 19 from both sides
- x = 31 − 19 = 12
5.x + 9 = 10
Answer: x = 1
- Subtract 9 from both sides
- x = 10 − 9 = 1
6.9x = 81
Answer: x = 9
- Divide both sides by 9
- x = 81 ÷ 9 = 9
7.4x = 40
Answer: x = 10
- Divide both sides by 4
- x = 40 ÷ 4 = 10
8.x + 9 = 19
Answer: x = 10
- Subtract 9 from both sides
- x = 19 − 9 = 10
9.x + 19 = 24
Answer: x = 5
- Subtract 19 from both sides
- x = 24 − 19 = 5
10.x + 11 = 23
Answer: x = 12
- Subtract 11 from both sides
- x = 23 − 11 = 12
11.x + 12 = 16
Answer: x = 4
- Subtract 12 from both sides
- x = 16 − 12 = 4
12.5x = 35
Answer: x = 7
- Divide both sides by 5
- x = 35 ÷ 5 = 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.