Chapter-4 Algebraic Expressions — Online MCQ Test
MATHS · Grade 10 · IGCSE cambridge
Practice Chapter-4 Algebraic Expressions with a free chapter-wise online MCQ test.
This chapter covers: Simplifying expanding and factorising expressions including quadratics and algebraic fractions..
AI-generated questions from basic to board-exam level, with instant results and explanations.
Chapter-4 Algebraic Expressions — Important Questions & Answers
Simplify the expression 3x + 5x - 2x.
- A. 6x
- B. 8x
- C. 10x
- D. 5x
Answer: A. 6x
Combining like terms: 3x + 5x - 2x = (3 + 5 - 2)x = 6x.
Combining like terms: 3x + 5x - 2x = (3 + 5 - 2)x = 6x.
What is the expanded form of (x + 3)(x + 2)?
- A. x² + 5x + 6
- B. x² + 6x + 5
- C. x² + 3x + 2
- D. x² + 5x + 5
Answer: A. x² + 5x + 6
Using FOIL: x·x + x·2 + 3·x + 3·2 = x² + 2x + 3x + 6 = x² + 5x + 6.
Using FOIL: x·x + x·2 + 3·x + 3·2 = x² + 2x + 3x + 6 = x² + 5x + 6.
Factorise 2x² + 8x completely.
- A. 2x(x + 4)
- B. x(2x + 8)
- C. 2(x² + 4x)
- D. (2x + 4)(x + 2)
Answer: A. 2x(x + 4)
The greatest common factor is 2x. Factoring out: 2x(x + 4).
The greatest common factor is 2x. Factoring out: 2x(x + 4).
Expand (x - 4)².
- A. x² - 8x + 16
- B. x² - 16
- C. x² - 4x + 16
- D. x² + 8x + 16
Answer: A. x² - 8x + 16
Using (a - b)² = a² - 2ab + b²: x² - 2(x)(4) + 4² = x² - 8x + 16.
Using (a - b)² = a² - 2ab + b²: x² - 2(x)(4) + 4² = x² - 8x + 16.
When 2x³ - 8x² + 6x is completely factorised, which is NOT one of the factors?
- A. 2x
- B. (x - 1)
- C. (x - 3)
- D. (x + 3)
Answer: D. (x + 3)
Factoring step-by-step: 2x³ - 8x² + 6x = 2x(x² - 4x + 3) = 2x(x - 1)(x - 3). The factor (x + 3) does not appear.
Factoring step-by-step: 2x³ - 8x² + 6x = 2x(x² - 4x + 3) = 2x(x - 1)(x - 3). The factor (x + 3) does not appear.