Year 9 Solving Linear Equations Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 9 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear EquationsYear 9 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 + 15 = 27
Answer: x = 12
- Subtract 15 from both sides
- x = 27 − 15 = 12
2.7x = 84
Answer: x = 12
- Divide both sides by 7
- x = 84 ÷ 7 = 12
3.3x = 12
Answer: x = 4
- Divide both sides by 3
- x = 12 ÷ 3 = 4
4.x + 6 = 15
Answer: x = 9
- Subtract 6 from both sides
- x = 15 − 6 = 9
5.x − 8 = −3
Answer: x = 5
- Add 8 to both sides
- x = −3 + 8 = 5
6.x + 16 = 25
Answer: x = 9
- Subtract 16 from both sides
- x = 25 − 16 = 9
7.x + 14 = 24
Answer: x = 10
- Subtract 14 from both sides
- x = 24 − 14 = 10
8.x − 6 = 1
Answer: x = 7
- Add 6 to both sides
- x = 1 + 6 = 7
9.x + 20 = 26
Answer: x = 6
- Subtract 20 from both sides
- x = 26 − 20 = 6
10.x − 15 = −3
Answer: x = 12
- Add 15 to both sides
- x = −3 + 15 = 12
11.7x = 63
Answer: x = 9
- Divide both sides by 7
- x = 63 ÷ 7 = 9
12.2x = 12
Answer: x = 6
- Divide both sides by 2
- x = 12 ÷ 2 = 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.