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Algebra

Foundations, rules, techniques, graphs, functions, sequences, matrices, and more.

Algebra – Recommended Books

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Basic Algebra

Algebra Basics

Operations Associativity Commutativity Distributivity Identity Number Bases Base 10: Hundreds, Tens, Units Algebra – Terminology Algebra 1 – Video Algebra 2 – Video Algebra – Examples Kindle : Basic Algebra

Factors

Factors HCF Multiples LCM Prime Factors Removing Brackets FOIL Factorising Difference of Two Squares

Distance, Speed & Time

Distance, Speed & Time Distance Travelled Average Speed Time Taken Distance–Time Graphs Unitary Conversions

Completing the Square

Overview Coefficient Method General Method Solving Quadratic Equations Usefulness for Quadratics

Surds

Surds Surds Test

Indices

Quadratics

Quadratics Factorising Quadratics Factorising – Alternative Finding Roots Roots That Don’t Factorise Quadratic Formula Deriving the Quadratic Formula Quadratic Graphs Sketching Quadratic Functions Discriminant Quadratic Equations Quadratic Graphs – Tangency Kindle :Quadratics Kindle :Factorising Quadratics Kindle :Quadratic factors

Joint Variation

Direct Proportion Indirect Proportion Proportion – Square

Equations & Functions

Equations & Inequalities

Equations Inequalities

Formulae

Formulae in Words Evaluating Formulae Order of Operations Formulae in Symbols Changing the Subject Deriving the Quadratic Formula Using the Quadratic Formula Kindle :Algebra Word Questions

Functions

Functions Set Notation Domain, Codomain & Range One‑to‑One Correspondence Inverse Function Inverse – Algebraic Method Inverse – Graphical Method Composite Functions Simple Graphs of Functions Reflections, Translations, etc.

Functions (More Advanced)

Modulus Function Inverse Functions Polynomials Extrema Concavity & Inflexion Odd & Even Functions Asymptotes

Simultaneous Equations

Graphical Method Solving by Elimination Vedic Method

Exponentials

Exponentials Growth Functions Decay Functions Exponential/Log Graphs Kindle: Logs and Exponentials

Logarithms

Logarithms Converting Bases Logarithmic Equations Logarithm Laws Log and ln Logarithmic Scales Interactive – Exponential/Log Graphs Interactive – Log/Log & Log/Linear

Algebraic Manipulation

Solving Trig Equations Algebraic Fractions Partial Fractions Factorials Pascal’s Triangle Binomial Theorem Interactive – Pascal’s Triangle

Polynomials

Coefficients etc. Nested Form Dividing Polynomials Factor Theorem Remainder Theorem Synthetic Division Dividing by ax + b Solving Polynomial Equations Sketching Polynomial Equations

Complex Numbers

Complex Numbers Argand Diagrams Polar Form De Moivre’s Theorem Roots of a Complex Number

Matrices

Sequences