Preview Perfect Your Algebra Fundamentals

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Section 1 Introduction

Lecture 1 About the course

Lecture 2 Quick guide

Section 2 Fundamental Concepts of Algebra

Lecture 1 What is Algebra

Lecture 2 Constructing Algebraic Expressions

Quiz

Section 3 Revision Section on Integers

Lecture 1 Negative numbers and operations on Integers

Quiz

Section 4 Rules of Ordering- BODMAS

Lecture 1 BODMAS Rule - Basics

Lecture 2 Practice Problems BODMAS Part 1

Lecture 3 Practice Problems BODMAS Part 2

Quiz

Section 5 A complete Section on Indices (Exponent)

Lecture 1 The Laws of Indices

Lecture 2 Application of Indices Part 1

Quiz

Lecture 3 Application of Indices Part 2

Lecture 4 Fractional indices

Lecture 5 Practice Problems

Lecture 6 Problems from IGCSE Last year papers

Quiz

Section 6 Algebraic Expressions

Lecture 1 Algebraic Expressions

Lecture 2 Terms, Coefficients, Degree, Like and Unlike Expressions

Quiz

Lecture 3 Arrangements of the Terms

Lecture 4 Distributive Property in Algebraic expressions

Lecture 5 Addition of Algebraic expressions

Lecture 6 Subtraction of Algebraic expressions

Quiz

Section 7 Brackets in Algebra

Lecture 1 Rules of brackets

Lecture 2 Simplification by removing brackets

Section 8 Multiplication and division of Algebraic expressions

Lecture 1 Multiplication of Algebraic Expressions Part 1

Lecture 2 Multiplication of Algebraic Expressions Part 2

Lecture 3 Multiplication of Algebraic Expressions Part 3

Quiz

Lecture 4 Division of algebraic expressions Part 1

Lecture 5 Division of algebraic expressions Part 2

Lecture 6 Division of algebraic expressions Part 3

Quiz

Section 9 Linear Equations in one variable

Lecture 1 Simple Equations

Lecture 2 Solving an Equation Part 1

Lecture 3 Solving an Equation Part 2

Lecture 4 Practice Problems

Lecture 5 Word Problems based on Linear equations 1

Lecture 6 Word Problems based on Linear equations 2

Quiz

Section 10: Linear Inequalities

Lecture 1 Linear Inequalities

Lecture 2 How to plot inequalities on number line

Lecture 3 Solving Linear Inequalities Part 1

Lecture 4 Solving Linear Inequalities Part 2

Section 11: Formula: change of subject of formula

Lecture 1 Changing Subject of a Formula Part 1

Lecture 2 Changing Subject of a Formula Part 2

Lecture 3 Evaluate and write formulae of word problems

Lecture 4 Substitutions in given Formulae Part 1

Lecture 5 Substitutions in given Formulae Part 2

Lecture 6 Substitutions in given Formulae Part 3

Section 12: Algebraic Identities

Lecture 1 What are Identities?

Lecture 2 Identity (a + b) ²=a²+2ab+b²

Lecture 3 Identity (a - b) ²=a²-2ab+b²

Lecture 4 Identity a² - b² = (a-b) (a +b)

Lecture 5 Identity (x+ a) (x+ b) =x²+ (a+ b) x+ ab

Lecture 6 Pascal’s Triangle

Lecture 7 Identity (a+ b) ³=a ³ + 3a²b+3ab²+b ³

Section 13: Factorization

Lecture 1- Factorization by method of common factor

Quiz

Lecture 2- Factorization by grouping the terms

Quiz

Lecture 3- Factorization by difference of two squares

Quiz

Lecture 4 – Factorize using identity (a + b) ² and (a - b) ²

Quiz

Lecture 5 – Factorize using identity (a + b + c) ²

Quiz

Lecture 6 – Factorization by middle term split Part 1

Lecture 7 – Factorization by middle term split Part 2

Section 14: How to draw Line graph?

Lecture 1 Cartesian Coordinate system Part 1

Lecture 2 Cartesian Coordinate system Part 2

Lecture 3 Some Important facts

Lecture 4 Drawing Line Graph

Section 15 : Simultaneous Linear Equations

Lecture 1 Simultaneous Linear Equations

Lecture 2 Graphical Method

Lecture 3 Graphical method Continues….

Lecture 4 Elimination by substitution Method

Lecture 5 Equating the coefficients Method

Lecture 6 Cross Multiplication

Lecture 7 Equations Reducible to Linear Equations-1

Lecture 8 Equations Reducible to Linear Equations-2

Lecture 9 Linear equations Conditions

Lecture 10 Problems Based on Conditions

Section 16: Polynomials

Lecture 1 Polynomials and Zeros of Polynomials

Lecture 2 Remainder Theorem

Lecture 3 Factor Theorem

Lecture 4 Practice problems

Lecture 5 Factorization using Factor Theorem

Lecture 6 Zeros of polynomials α, β & γ

Lecture 7 Relation between zeros and coefficients of a polynomials

Lecture 8 Writing polynomials if zeros are given

Lecture 9 Practice problems on zeros of polynomials

Lecture 10 Problems solving with α and β Part 1

Lecture 11 Problems solving with α and β Part 2

Section 17: Quadratic Equations

Lecture 1 Introduction to Quadratic Equations

Lecture 2 Solving Quadratic Equations by Factorization Method

Lecture 3 Writing in Completed Square Form

Lecture 4 Solving by Completing Square Method

Lecture 5 Sketching of Quadratic Graphs by completing the square method

Lecture 6 Quadratic graphs using Transformations

Lecture 7 Solving Quadratic Inequalities by graphical method (vertex)

Lecture 8 Deriving Quadratic Formula

Lecture 9 Solving problems using Quadratic Formula

Lecture 10 Nature of roots 1

Lecture 11 Nature of roots 2

Preview - Perfect Your Algebra Fundamentals