Cambridge Mathematics IGCSE Additional - Equations
Course

Cambridge Mathematics IGCSE Additional – Equations

2.1 Quadratic Equations
2.2 Absolute Value Functions
2.3 Cubic Polynomials
2.4 Simultaneous Equations
2.5 Coordinate Geometry

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40 Lessons

Course Materials

QUADRATIC EQUATIONS

What are Quadratic Equations?

Quadratic Equations in Factorised Form

Quadratic Equations in Square Form (ax^2 + c = 0)

Quadratic Identities

Substitutions into Quadratics

Solving by Factorisation

Solving by Completing the Square

Quadratic Formula

Problem Solving with Quadratics

Reducible to Quadratics

Forming Quadratic Equations

Quadratic Inequalities

Regions of Quadratic Inequalities

Intersecting Regions involving Quadratic Inequalities

ABSOLUTE VALUE FUNCTIONS

Inequalities involving Absolute Values

Simple Absolute Value (Modulus) Equations

Absolute Value (Modulus) Equations: Pronumerals on Both Sides

Further Graphs of Absolute Value (Modulus) Functions

CUBIC POLYNOMIALS

Cubic Polynomials in Vertex Form

Cubic Polynomials in Intercept Form

Finding Cubic Polynomials with Zeros

Cubic Equations

Cubic Inequalities

SIMULTANEOUS EQUATIONS

Linear Simultaneous Equations - Elimination Method

Linear Simultaneous Equations - Substitution Method

Problem Solving with Linear Simultaneous Equations

Undefined or All Real Values of Simultaneous Equations

COORDINATE GEOMETRY

Distance Between Two Points using Coordinates

Midpoint Formula

Gradient of Lines

Intercepts

Parallel Lines

Perpendicular Lines

Vertical Lines and Horizontal Lines

Does a Point Lie on a Line