Chapter Exam

Chapter-4 Algebraic Expressions — Online MCQ Test

Q: Simplify the expression 3x + 5x - 2x.

Answer: A. 6x — Combining like terms: 3x + 5x - 2x = (3 + 5 - 2)x = 6x.

Q: What is the expanded form of (x + 3)(x + 2)?

Answer: A. x² + 5x + 6 — Using FOIL: x·x + x·2 + 3·x + 3·2 = x² + 2x + 3x + 6 = x² + 5x + 6.

Q: Factorise 2x² + 8x completely.

Answer: A. 2x(x + 4) — The greatest common factor is 2x. Factoring out: 2x(x + 4).

Q: Expand (x - 4)².

Answer: A. x² - 8x + 16 — Using (a - b)² = a² - 2ab + b²: x² - 2(x)(4) + 4² = x² - 8x + 16.

Q: When 2x³ - 8x² + 6x is completely factorised, which is NOT one of the factors?

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.

MATHS · Grade 10 · IGCSE cambridge

Practice Chapter-4 Algebraic Expressions with a free chapter-wise online MCQ test for IGCSE cambridge Grade 10 MATHS. 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.

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Chapter-4 Algebraic Expressions — Important Questions & Answers (FAQ)

Frequently asked questions from IGCSE cambridge Grade 10 MATHS — Chapter-4 Algebraic Expressions, with answers and explanations. These are sample questions; the exam has its own separate question set.

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.

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.

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).

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.

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.

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