Skip to content

Cambridge IGCSE Mathematics

2.2Algebraic manipulation

Algebraic manipulation in Cambridge IGCSE Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic43 practice questions2 lessons

Learning objectives

What the syllabus expects you to be able to do.

  1. 2.2.1Simplify expressions by collecting like terms.
  2. 2.2.2Expand products of algebraic expressions, including two brackets (Extended: more than two brackets).
  3. 2.2.3Factorise expressions fully by taking out common factors.
  4. 2.2.4Extended: factorise by grouping, as a difference of two squares, as a perfect square, and expressions of the forms ax² + bx + c and ax³ + bx² + cx.
  5. 2.2.5Extended: write an expression ax² + bx + c in completed-square form (taught with the quadratic equations of 2.5).

Lessons

  • Expanding brackets

    30 min

    Full access
  • Factorising algebraic expressions

    35 min

    Full access

Join to read every lesson, or see what Full access includes.

Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Algebraic manipulation: sample question

1 mark

Expand and simplify 3(x+4)−2(x−1)3(x + 4) - 2(x - 1).

Choose one answer

Turn Algebraic manipulation into a strength.

Practise with instant marking, see your mastery grow and get a study plan built around your exam date.