Year 9 Solving Linear Equations Worksheet — Level 1 — Practice Set 3 — 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 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.x − 7 = 3
Answer: x = 10
- Add 7 to both sides
- x = 3 + 7 = 10
2.x + 17 = 19
Answer: x = 2
- Subtract 17 from both sides
- x = 19 − 17 = 2
3.5x = 60
Answer: x = 12
- Divide both sides by 5
- x = 60 ÷ 5 = 12
4.x + 19 = 25
Answer: x = 6
- Subtract 19 from both sides
- x = 25 − 19 = 6
5.x + 3 = 7
Answer: x = 4
- Subtract 3 from both sides
- x = 7 − 3 = 4
6.x − 4 = 1
Answer: x = 5
- Add 4 to both sides
- x = 1 + 4 = 5
7.7x = 49
Answer: x = 7
- Divide both sides by 7
- x = 49 ÷ 7 = 7
8.x + 6 = 14
Answer: x = 8
- Subtract 6 from both sides
- x = 14 − 6 = 8
9.x + 19 = 24
Answer: x = 5
- Subtract 19 from both sides
- x = 24 − 19 = 5
10.x − 2 = 5
Answer: x = 7
- Add 2 to both sides
- x = 5 + 2 = 7
11.7x = 63
Answer: x = 9
- Divide both sides by 7
- x = 63 ÷ 7 = 9
12.x + 5 = 8
Answer: x = 3
- Subtract 5 from both sides
- x = 8 − 5 = 3
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.