CAIE IGCSE Mathematics Core C2.2 Algebraic Manipulation Question Bank

Practise collecting like terms, expanding single or double brackets and factorising expressions by taking out common factors.

Syllabus
2028–2030
Topic
C2.2
Level
Core

Exam points

  • collect like terms while keeping coefficients, variables and powers distinct
  • expand single or double brackets and combine terms in the final expression
  • factorise by extracting the highest common numerical and algebraic factor

Covered syllabus points

C2.2.1 Simplify expressions by collecting like terms.C2.2.2 Expand products of algebraic expressions.C2.2.3 Factorise by extracting common factors

C2.2 Algebraic manipulation question 1

[Maximum number: 3]

Question (a)

(a)

Simplify 3 c-5 d-c+2 d.

[ 2 ]

Question (b)

(b)

Multiply out.

9(3-x)
[ 1 ]

C2.2 Algebraic manipulation question 2

[Maximum number: 3]
Figure for Question C2.2 Algebraic manipulation question 2 — CAIE IGCSE Mathematics Core

NOT TO
SCALE

Find an expression for the area of this rectangle.
Give your answer in the form x^2+a x+b.

C2.2 Algebraic manipulation question 3

[Maximum number: 2]

Factorise completely.
15x3y−3x15x^3y-3x

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