Year 7 Introduction to Algebra Topic Test — Answers
Answer sheet with worked solutions for the Year 7 algebra topic test.
Year 7 · Mathematics · Algebra
Year 7 Introduction to Algebra Topic Test — Answers
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Part A — Simplifying Expressions (Like Terms)
1.Simplify: 9x − 5x + 6[1 mark]
Answer: 4x + 6
- 9x − 5x = 4x
2.Simplify: −3x + 6x + 2[1 mark]
Answer: 3x + 2
- −3x + 6x = 3x
3.Simplify: −4x + 4x + 6[1 mark]
Answer: 6
- −4x + 4x = 0
4.Simplify: −6x + 3x + 9[1 mark]
Answer: −3x + 9
- −6x + 3x = −3x
5.Simplify: −2x + 8x + 9[1 mark]
Answer: 6x + 9
- −2x + 8x = 6x
6.Simplify: x + 6x + 9[1 mark]
Answer: 7x + 9
- x + 6x = 7x
7.Simplify: −6x + 7x + 1[1 mark]
Answer: x + 1
- −6x + 7x = x
8.Simplify: 6x + 9x + 1[1 mark]
Answer: 15x + 1
- 6x + 9x = 15x
Part B — Substitution
9.Find the value of 5x + 6 when x = 5[2 marks]
Answer: 31
- 5 × 5 + 6
- = 25 + 6 = 31
10.Find the value of x − 2 when x = 9[2 marks]
Answer: 7
- 1 × 9 − 2
- = 9 − 2 = 7
11.Find the value of 9x + 8 when x = 9[2 marks]
Answer: 89
- 9 × 9 + 8
- = 81 + 8 = 89
12.Find the value of −3x − 5 when x = 4[2 marks]
Answer: −17
- −3 × 4 − 5
- = −12 − 5 = −17
13.Find the value of 7x − 6 when x = 1[2 marks]
Answer: 1
- 7 × 1 − 6
- = 7 − 6 = 1
14.Find the value of 6x − 1 when x = 4[2 marks]
Answer: 23
- 6 × 4 − 1
- = 24 − 1 = 23
Part C — Solving Linear Equations
15.x + 2 = 11[2 marks]
Answer: x = 9
- Subtract 2 from both sides
- x = 11 − 2 = 9
16.x + 5 = 17[2 marks]
Answer: x = 12
- Subtract 5 from both sides
- x = 17 − 5 = 12
17.2x = 24[2 marks]
Answer: x = 12
- Divide both sides by 2
- x = 24 ÷ 2 = 12
18.x + 13 = 25[2 marks]
Answer: x = 12
- Subtract 13 from both sides
- x = 25 − 13 = 12
19.x − 10 = 2[2 marks]
Answer: x = 12
- Add 10 to both sides
- x = 2 + 10 = 12
20.x + 12 = 18[2 marks]
Answer: x = 6
- Subtract 12 from both sides
- x = 18 − 12 = 6
21.x + 20 = 26[2 marks]
Answer: x = 6
- Subtract 20 from both sides
- x = 26 − 20 = 6
22.x − 20 = −12[2 marks]
Answer: x = 8
- Add 20 to both sides
- x = −12 + 20 = 8
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.
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