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HomeCXC CSEC MathematicsAlgebraic Expressions – simplification, substitution, expansion and factorisation
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Algebraic Expressions – simplification, substitution, expansion and factorisation
Practice Questions

20 CXC CSEC Mathematics questions on Algebraic Expressions – simplification, substitution, expansion and factorisation, each with instant feedback and a full examiner-style mark scheme.

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Try 2 sample questions on Algebraic Expressions – simplification, substitution, expansion and factorisation

Question 1 · 1 mark · Difficulty 1/3

Which of the following is the fully factorised form of 6x² + 9x?

  1. A) 3(2x² + 3x)
  2. B) 3x(2x + 3)
  3. C) x(6x + 9)
  4. D) 6x(x + 3)
Show answer & explanation
✓ Answer: BB) 3x(2x + 3)
The highest common factor of 6x² and 9x is 3x. Dividing each term by 3x gives 2x + 3, so the fully factorised form is 3x(2x + 3). Option A does not fully factorise since x remains inside, and option C uses only x as the HCF.
Question 2 · 1 mark · Difficulty 2/3

If m = −1 and n = 4, what is the value of 3m³ − 2n + 5?

  1. A) −6
  2. B) 0
  3. C) −4
  4. D) 4
Show answer & explanation
✓ Answer: AA) −6
Substituting: 3(−1)³ − 2(4) + 5 = 3(−1) − 8 + 5 = −3 − 8 + 5 = −6. A common error is treating (−1)³ as +1 instead of −1, since an odd power of a negative number remains negative.
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CXC CSEC Mathematics: Algebraic Expressions – simplification, substitution, expansion and factorisation FAQ

How many CXC CSEC Mathematics questions on Algebraic Expressions – simplification, substitution, expansion and factorisation are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Algebraic Expressions – simplification, substitution, expansion and factorisation for CXC CSEC Mathematics, with new questions added every week. Each question gives you instant feedback and a full examiner-style mark scheme that tells you exactly what would earn marks on a real CXC paper. The questions span the full difficulty range — from straightforward recall (level 1) right up to multi-step reasoning and evaluation (level 3) — so the bank works for first-pass revision and final exam-week stress testing alike.
Is Kramizo free for CXC CSEC students preparing for Mathematics?
Yes — completely free. Every student gets 45 questions a day on the free plan, with no card required and no trial countdown. That free quota works across every subject and every topic in our bank, so you can mix Algebraic Expressions – simplification, substitution, expansion and factorisation practice with other Mathematics topics or even switch to a totally different CXC subject without paying anything. Kramizo's optional Pro plan removes the daily cap and adds detailed progress analytics, but the free tier is the real product — used by thousands of GCSE, IGCSE and CSEC students.
Are the Algebraic Expressions – simplification, substitution, expansion and factorisation questions aligned to the official CXC CSEC Mathematics syllabus?
Every question is written against the published CXC CSEC Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real CXC paper. Explanations are written in the style of official examiner mark schemes — they tell you what is being awarded marks and why distractors are wrong, not just whether you got it right. The bank is continually refined to match the latest syllabus updates from CXC.
How is Algebraic Expressions – simplification, substitution, expansion and factorisation typically tested on CXC CSEC Mathematics papers?
Algebraic Expressions – simplification, substitution, expansion and factorisation appears across multiple question types on real CXC CSEC Mathematics papers — most commonly as multiple-choice questions in the objective section, structured short-answer questions in the main paper, and occasionally as part of an extended response. Kramizo's practice bank reflects that mix: 4-option MCQs, true/false statements, fill-in-the-blank key terms, multi-select questions, and ordering questions. Working through the bank gives you exposure to every question style examiners actually use.

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