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CAIE IGCSE Mathematics Core C2.2 Algebraic Manipulation Questions

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

Syllabus
2028–2030
Course
Mathematics 0580
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

Question 1

[Maximum number: 2]

Simplify 4 m+7 k-m+3 k.

Question 2

[Maximum number: 4]

Question (a)

(a)

Simplify.
5a+3b+2a-4b

[ 2 ]

Question (b)

(b)

Multiply out and simplify.
(x-3)(x+5)

[ 2 ]

Question 3

[Maximum number: 1]

Factorise.

9 x+12
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