Chapter 5: Algebraic Expressions - Mock Test
Instructions
- •This test has 20 questions covering all topics from Chapter 5
- •Section A: 8 questions × 1 mark = 8 marks
- •Section B: 8 questions × 2 marks = 16 marks
- •Section C: 4 questions × 4 marks = 16 marks
- •No negative marking. Show all working for partial credit.
Section A: 1 Mark Questions (8 × 1 = 8 marks)
1. What is the coefficient of x in -7x + 5?
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Answer: -7
2. Are 4x and 4y like terms?
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Answer: No, they have different variables.
3. Simplify: 6a + 2a
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Answer: 8a
4. How many terms are in 2x² + 3x + 1?
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Answer: 3 terms (trinomial)
5. Write 'x decreased by 7' as an expression.
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Answer: x - 7
6. Expand: 4(x + 2)
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Answer: 4x + 8
7. What is the constant in 5x + 8?
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Answer: 8
8. Evaluate: 3x + 1 when x = 2
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Answer: 3(2) + 1 = 7
Section B: 2 Mark Questions (8 × 2 = 16 marks)
9. Simplify: 3x + 5 + 2x - 3
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Answer: (3x + 2x) + (5 - 3) = 5x + 2
10. Simplify: 4a + 3b - 2a + b
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Answer: (4a - 2a) + (3b + b) = 2a + 4b
11. Expand: -2(x - 3). Show steps.
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Answer: -2(x - 3) = -2x + 6
12. Subtract: (6x + 5) - (3x + 2)
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Answer: 6x + 5 - 3x - 2 = 3x + 3
13. Divide: (8x + 4) ÷ 2
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Answer: 4x + 2
14. Identify like terms: 3x², 2x, 5x², 4y
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Answer: Like terms are 3x² and 5x²
15. Write 'twice the sum of a and b' as expression.
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Answer: 2(a + b) or 2a + 2b
16. Simplify: 5x + 2(3x - 1)
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Answer: 5x + 6x - 2 = 11x - 2
Section C: 4 Mark Questions (4 × 4 = 16 marks)
17. Simplify completely: 3(2x + 4) - 2(3x - 5) + 6
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Answer: Step 1: 3(2x + 4) = 6x + 12 Step 2: -2(3x - 5) = -6x + 10 Step 3: 6x + 12 - 6x + 10 + 6 Step 4: (6x - 6x) + (12 + 10 + 6) = 28
18. Perimeter of rectangle: Length = (2x + 3), Breadth = (x + 1). Find perimeter.
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Answer: Perimeter = 2(Length + Breadth) = 2[(2x + 3) + (x + 1)] = 2[3x + 4] = 6x + 8
19. If x = -2, evaluate: 2x² - 3x + 5
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Answer: = 2(-2)² - 3(-2) + 5 = 2(4) + 6 + 5 = 8 + 6 + 5 = 19
20. Simplify: (12x² + 8x) ÷ 4x
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Answer: = (12x² ÷ 4x) + (8x ÷ 4x) = 3x + 2
Marking Scheme
Section A (1 Mark)
1 mark for correct answer. No partial marking.
Section B (2 Marks)
- • Full correct answer: 2 marks
- • Correct method with minor error: 1 mark
Section C (4 Marks)
- • Complete with all steps: 4 marks
- • Minor computational error: 3 marks
- • Partially correct (≥50%): 2 marks
Performance Guide
36-40 marks: Excellent mastery of expressions.
30-35 marks: Very good understanding. Minor gaps to address.
24-29 marks: Good basics. Practice simplification more.
18-23 marks: Fair. Review like terms and distribution.
Below 18: Review fundamentals of variables and terms.
Key Exam Tips
- ✓Always identify like terms first before combining
- ✓Distribute correctly: check sign of each term
- ✓Show all steps for partial credit
- ✓Double-check by substituting values back