Year 9 Solving Linear Equations Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.x + 7 = 15
Answer: x = 8
- Subtract 7 from both sides
- x = 15 − 7 = 8
2.x + 3 = 8
Answer: x = 5
- Subtract 3 from both sides
- x = 8 − 3 = 5
3.x − 4 = −3
Answer: x = 1
- Add 4 to both sides
- x = −3 + 4 = 1
4.6x = 54
Answer: x = 9
- Divide both sides by 6
- x = 54 ÷ 6 = 9
5.x − 14 = −2
Answer: x = 12
- Add 14 to both sides
- x = −2 + 14 = 12
6.x − 2 = 5
Answer: x = 7
- Add 2 to both sides
- x = 5 + 2 = 7
7.x + 2 = 9
Answer: x = 7
- Subtract 2 from both sides
- x = 9 − 2 = 7
8.x + 8 = 16
Answer: x = 8
- Subtract 8 from both sides
- x = 16 − 8 = 8
9.x + 17 = 26
Answer: x = 9
- Subtract 17 from both sides
- x = 26 − 17 = 9
10.x − 14 = −3
Answer: x = 11
- Add 14 to both sides
- x = −3 + 14 = 11
11.8x = 64
Answer: x = 8
- Divide both sides by 8
- x = 64 ÷ 8 = 8
12.x − 11 = −7
Answer: x = 4
- Add 11 to both sides
- x = −7 + 11 = 4
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.