Year 9 Solving Linear Equations Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 9 linear equations worksheet.
Year 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 + 13 = 17
Answer: x = 4
- Subtract 13 from both sides
- x = 17 − 13 = 4
2.4x = 8
Answer: x = 2
- Divide both sides by 4
- x = 8 ÷ 4 = 2
3.x + 12 = 23
Answer: x = 11
- Subtract 12 from both sides
- x = 23 − 12 = 11
4.x + 10 = 17
Answer: x = 7
- Subtract 10 from both sides
- x = 17 − 10 = 7
5.7x = 21
Answer: x = 3
- Divide both sides by 7
- x = 21 ÷ 7 = 3
6.x + 2 = 14
Answer: x = 12
- Subtract 2 from both sides
- x = 14 − 2 = 12
7.x + 1 = 8
Answer: x = 7
- Subtract 1 from both sides
- x = 8 − 1 = 7
8.9x = 45
Answer: x = 5
- Divide both sides by 9
- x = 45 ÷ 9 = 5
9.x − 20 = −19
Answer: x = 1
- Add 20 to both sides
- x = −19 + 20 = 1
10.x − 17 = −7
Answer: x = 10
- Add 17 to both sides
- x = −7 + 17 = 10
11.x + 7 = 17
Answer: x = 10
- Subtract 7 from both sides
- x = 17 − 7 = 10
12.4x = 24
Answer: x = 6
- Divide both sides by 4
- x = 24 ÷ 4 = 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.