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

48 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 Factorisation involving Fractions

Solving by Completing the Square

Quadratic Formula

Problem Solving with Quadratics

Problem Solving with Quadratics involving Geometry

Reducible to Quadratics: Polynomials

Reducible to Quadratics: Fractions

Reducible to Quadratics: Indices

Reducible to Quadratics: Substitutions

Forming Quadratic Equations

Quadratic Inequalities by Given Graphs

Quadratic Inequalities by Sketching Graphs

Regions of Quadratic Inequalities

Intersecting Regions involving Quadratic Inequalities

ABSOLUTE VALUE FUNCTIONS

Linear Inequalities involving Absolute Values

Inequalities involving Absolute Values by Graphs

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

Numerical Application of 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

Application of Perpendicular Lines

Vertical Lines and Horizontal Lines

Does a Point Lie on a Line