7th Grade Introduction to Algebra Topic Test — Answers
Answer sheet with worked solutions for the 7th Grade algebra topic test.
Success TutoringWorksheetsAnswer sheet7th Grade · Mathematics · Algebra7th Grade Introduction to Algebra Topic Test — Answers
Part A: Simplifying Expressions (Like Terms)
1.Simplify: −4x − 6x + 5[1 mark]
Answer: −10x + 5
- −4x − 6x = −10x
2.Simplify: 9x − 2x + 6[1 mark]
Answer: 7x + 6
- 9x − 2x = 7x
3.Simplify: −3x + 5x + 2[1 mark]
Answer: 2x + 2
- −3x + 5x = 2x
4.Simplify: x + 5x + 7[1 mark]
Answer: 6x + 7
- x + 5x = 6x
5.Simplify: −6x − 3x + 8[1 mark]
Answer: −9x + 8
- −6x − 3x = −9x
6.Simplify: −x + 8x + 7[1 mark]
Answer: 7x + 7
- −x + 8x = 7x
7.Simplify: 5x + 7x + 7[1 mark]
Answer: 12x + 7
- 5x + 7x = 12x
8.Simplify: x + 2x + 2[1 mark]
Answer: 3x + 2
- x + 2x = 3x
Part B: Substitution
9.Find the value of −3x − 5 when x = 4[2 marks]
Answer: −17
- −3 × 4 − 5
- = −12 − 5 = −17
10.Find the value of −4x + 6 when x = 5[2 marks]
Answer: −14
- −4 × 5 + 6
- = −20 + 6 = −14
11.Find the value of 9x − 9 when x = 8[2 marks]
Answer: 63
- 9 × 8 − 9
- = 72 − 9 = 63
12.Find the value of 7x − 7 when x = 2[2 marks]
Answer: 7
- 7 × 2 − 7
- = 14 − 7 = 7
13.Find the value of 6x + 6 when x = 1[2 marks]
Answer: 12
- 6 × 1 + 6
- = 6 + 6 = 12
14.Find the value of 5x − 8 when x = 7[2 marks]
Answer: 27
- 5 × 7 − 8
- = 35 − 8 = 27
Part C: Solving Linear Equations
15.4x = 28[2 marks]
Answer: x = 7
- Divide both sides by 4
- x = 28 ÷ 4 = 7
16.x + 6 = 17[2 marks]
Answer: x = 11
- Subtract 6 from both sides
- x = 17 − 6 = 11
17.x + 17 = 18[2 marks]
Answer: x = 1
- Subtract 17 from both sides
- x = 18 − 17 = 1
18.6x = 12[2 marks]
Answer: x = 2
- Divide both sides by 6
- x = 12 ÷ 6 = 2
19.9x = 9[2 marks]
Answer: x = 1
- Divide both sides by 9
- x = 9 ÷ 9 = 1
20.3x = 27[2 marks]
Answer: x = 9
- Divide both sides by 3
- x = 27 ÷ 3 = 9
21.x + 6 = 16[2 marks]
Answer: x = 10
- Subtract 6 from both sides
- x = 16 − 6 = 10
22.x + 3 = 15[2 marks]
Answer: x = 12
- Subtract 3 from both sides
- x = 15 − 3 = 12
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.