Algebra - Beginner to Master

Overview

Master algebra from beginner to advanced levels in this comprehensive 6-hour course. Explore a wide range of topics including simplifying expressions, factorizing algebraic expressions, expanding brackets, and solving equations. Learn to work with algebraic fractions, quadratic equations, and simultaneous equations. Dive into more complex concepts such as index laws, graph transformations, composite and inverse functions, and quadratic inequalities. Discover alternative methods for solving equations, including the "Dr. Po-Shen Loh Method". Practice with GCSE-level problems, tackle higher-level algebraic proofs, and explore fascinating mathematical concepts like Fermat's Last Theorem and the relationship between cubes and squares. Enhance your problem-solving skills with grade 9 level questions and prepare thoroughly for GCSE exams with targeted revision materials.

Syllabus

Simplifying Expressions.
Factorising Algebraic Expressions ( factoring / factorizing ).
Algebra | expanding brackets.
Substituting into an Expression.
Solving Equations - Balancing & Inverse Operations.
Solving Equations - Brackets and Unknowns on both sides.
Algebraic fractions.
Equations with Fractions | GCSE Mathematics.
The Difference of Two Squares - GCSE mathematics.
Factorising Quadratics and Solving Quadratic Equations.
Simultaneous Equations with Quadratics.
The three index laws you need to know.
Indices | can you find the area of these shapes?.
Finding the equation of a line given gradient and a point.
Graph Transformations - GCSE Mathematics Higher Revision.
Composite and Inverse Functions.
Quadratic Inequalities - GCSE higher revision.
Different Way of Solving Quadratic Equations - The "Dr. Po-Shen Loh Method".
Iterations | GCSE (9-1) Maths Higher.
A cubic with two roots.
Algebraic Proof question - GCSE higher.
Revision by topic: Algebra | GCSE (9-1) Higher Exam revision (edexcel) past paper questions.
Straight line graphs - Grade 9 problem solving | GCSE mathematics.
Can you solve this? A Surprisingly Difficult Equation with a Golden solution.
A special case of Fermat's Last Theorem, where n=3.
A Strange Fact About Cubes & Squares.