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.
1.3x = 21
Answer: x = 7
- Divide both sides by 3
- x = 21 ÷ 3 = 7
2.x + 1 = 8
Answer: x = 7
- Subtract 1 from both sides
- x = 8 − 1 = 7
3.5x = 50
Answer: x = 10
- Divide both sides by 5
- x = 50 ÷ 5 = 10
4.x − 16 = −13
Answer: x = 3
- Add 16 to both sides
- x = −13 + 16 = 3
5.x + 3 = 15
Answer: x = 12
- Subtract 3 from both sides
- x = 15 − 3 = 12
6.4x = 40
Answer: x = 10
- Divide both sides by 4
- x = 40 ÷ 4 = 10
7.x + 19 = 20
Answer: x = 1
- Subtract 19 from both sides
- x = 20 − 19 = 1
8.x − 9 = 3
Answer: x = 12
- Add 9 to both sides
- x = 3 + 9 = 12
9.2x = 24
Answer: x = 12
- Divide both sides by 2
- x = 24 ÷ 2 = 12
10.x + 8 = 9
Answer: x = 1
- Subtract 8 from both sides
- x = 9 − 8 = 1
11.x + 4 = 7
Answer: x = 3
- Subtract 4 from both sides
- x = 7 − 4 = 3
12.x + 12 = 19
Answer: x = 7
- Subtract 12 from both sides
- x = 19 − 12 = 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.