REVISION NOTES

IGCSE Edexcel Mathematics A

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2.2 Algebraic Manipulation

2.2.1 Evaluate expressions by substituting numerical values for letters

2.2.2 Collect like terms

2.2.3 Multiply a single term over a bracket

edexcel_igcse_mathematics a_topic 13_algebraic manipulation_001_expanding single brackets

2.2.4 Take out common factors

2.2.5 Expand the product of two simple linear expressions

edexcel_igcse_mathematics a_topic 13_algebraic manipulation_005_Algebraic Fractions: Linear (2)

2.2.6 Understand the concept of a quadratic expression and be able to factorise such expressions (limited to x² + bx + c)

Factorising is the reverse process of expanding.

edexcel_igcse_mathematics a_topic 13_algebraic manipulation_006_Completing the Square (a = 1)

2.2.7 Manipulate algebraic fractions where the numerator and/or the denominator can be numeric, linear or quadratic (Higher Tier Only)

Some equations contain fractional coefficients. A good approach is to multiply the whole equation by a positive whole number, to clear the fractions away. 

edexcel_igcse_mathematics a_topic 13_algebraic manipulation_008_Algebraic Fractions: Quadratic (3)

2.2.8 Complete the square for a given quadratic expression (Higher Tier Only)

edexcel_igcse_mathematics a_topic 13_algebraic manipulation_007_Completing the Square (a ≠ 1)

2.2.9 Use algebra to support and construct proofs (Higher Tier Only)

edexcel_igcse_mathematics a_topic 13_algebraic manipulation_004_Algebraic Fractions: Numeric (1)
edexcel_igcse_mathematics a_topic 13_algebraic manipulation_003_expanding double brackets