Algebra is one of the most common and malleable types of mathematics, and it is also one of the most significant since primary algebra used by electricians, engineers, and nearly everyone in between.

This **Pefect your Algebra Fundamentals **is intended for individuals with no prior knowledge of Algebra. This course includes all the fundamental concepts of Algebra, and each step-by-step arranged modules will explain topics in a mild and an approachable manner. You will understand the basic terminology of Algebra, following with finding the numerical value of Algebraic expressions, addition, subtraction, multiplication and division of Algebraic expressions, directed numbers, higher indices, use of brackets in Algebra and many more.

To sum up, theories explained in an interactive and practical format and then further demonstrated with questions to ensure you have a good understanding of the topics by the end of this course.

**What Will I Learn?**

- Apply laws of Indices ( Exponents) on algebraic expressions.
- Algebraic Identities used in algebra and their application like ( a – b ) ² , ( a + b ) ³ , a ³ – b ³ , ( a + b + c ) ² etc
- Factorize using common factors, regrouping , splitting the middle term, using identity a² – b² , (a+b)² , (a+b)² ,a ³ + b ³ + c ³ – 3 a b c etc
- Solve all types of Linear equations in one variable
- Word problems based on linear equations
- Knows about adding and removing brackets in algebraic expressions
- Change the subject of formula
- simplify fractions with denominators algebraic expression and bring them to its lowest form
- Add , subtract , multiply and divide any algebraic expression
- Divide one polynomial by another by long division method
- Find value of any algebraic expression when value of variable is known
- Fully familiar with rarely used identity a ³ + b ³ + c ³ – 3 a b c
- Learn to draw line graph
- Solve Linear Inequalities
- Able to solve all the problems of simultaneous linear equations by applying different methods
- Able to solve linear equations with 1/2 variables graphically
- Able to solve real world problems with the help of simultaneous linear equations
- Solve Quadratic equations using Factorization method and Quadratic Formula
- Solve Quadratic using squaring complete method
- Solve all types of complex Quadratic equations and reducible to quadratic equation
- Knowledge of nature of roots of quadratic equations
- Learn to solve different types of word problems on Quadratic equations

**Requirements**

- Knowledge of Mathematics till 5th grade

**Who is the target audience?**

- GMAT , GRE and MBA entrance exams students looking for revision of Algebra fundamentals
- Wants to brush up basics of algebra in Mathematics
- Current IGCSE students because course is designed to cover topics of Algebra
- Current Algebra students of CBSE , ICSE board .
- Middle school, High school or early college level students
- If Algebra is always trouble for you then this course is specially for you as it will teach from very basics to in depth knowledge giving lots of practice through solving problems
- Students who wants to learn all types of factorisation especially middle term split
- High school students who have gaps in their knowledge and would like to fill them with basics

### Course Curriculum

Introduction | |||

Lecture 1 Intro video Algebra Introduction final | 00:02:00 | ||

Fundamental concepts on Algebraic Expressions | |||

Lecture 2 Terminology used in Algebra | 00:05:00 | ||

Lecture 3 Language of Algebra | 00:06:00 | ||

Lecture 4 Practice Questions | 00:06:00 | ||

Lecture 5 Finding numerical value of an algebraic expression | 00:14:00 | ||

Operations on Algebraic Expressions | |||

Lecture 6 Revision of Directed number ( integers | 00:06:00 | ||

Lecture 7 Addition and subtraction of monomial expressions | 00:06:00 | ||

Lecture 8 Addition of algebraic expressions with many terms | 00:10:00 | ||

Lecture 9 Subtraction of algebraic expressions | 00:10:00 | ||

Indices ( Exponents) | |||

Lecture 10 The rules of Indices in algebra | 00:11:00 | ||

Lecture 11 Fractional indices | 00:10:00 | ||

Lecture 12 Understanding indices (practice questions) | 00:07:00 | ||

Lecture 13 Problems from IGCSE Last year papers | 00:09:00 | ||

Multiplication and Division of Algebraic expressions | |||

Lecture 14 Multiplication of monomial algebraic expressions | 00:05:00 | ||

Lecture 15 Multiplication of monomial with binomials and trinomials | 00:11:00 | ||

Lecture 16 Division of algebraic expression by a monomial | 00:07:00 | ||

Lecture 17 Division of algebraic expression by another polynomial | 00:09:00 | ||

Lecture 18 Division of a polynomial by another polynomial with remainder | 00:11:00 | ||

Brackets in Algebra | |||

Lecture 19 Rules of brackets | 00:04:00 | ||

Lecture 20 Simplification by removing brackets | 00:11:00 | ||

Linear equations in one variable | |||

Lecture 21 Simplification of algebraic fractions | 00:07:00 | ||

Lecture 22 Rules to solve linear equations in one variable | 00:03:00 | ||

Lecture 23 Solving linear equations in one variable | 00:07:00 | ||

Lecture 24 Solving complex linear equations in one variable | 00:10:00 | ||

Lecture 25 Word problems on linear equations in one variable | 00:13:00 | ||

Algebraic Identities | |||

Lecture 26 Standard Identities (a + b )² and (a – b )² identities | 00:11:00 | ||

Lecture 27 Standard Identity ( a – b ) ( a + b) = a ² – b ² | 00:08:00 | ||

Lecture 28 Standard Identities ( a + b + c ) ² = a ² + b ² + c ² + 2 a b + 2 a c +2 b c | 00:07:00 | ||

Lecture 29 Standard Identities ( a + b ) ³ and ( a – b ) ³ | 00:09:00 | ||

Lecture 30 Standard Identities a ³ + b ³ and a ³ – b ³ | 00:06:00 | ||

Lecture 31 Standard Identities a ³ + b ³ + c ³ – 3 a b c | 00:10:00 | ||

Formula : Change of subject of formula | |||

Lecture 32 –Changing the subject of formula | 00:08:00 | ||

Linear Inequalities | |||

Lecture 33 Linear Inequalities | 00:12:00 | ||

Resolve into factors | |||

Lecture 34 Factorization by taking out common factor | 00:10:00 | ||

Lecture 35 Factorization by grouping the terms | 00:09:00 | ||

Lecture 36 Factorize using identity a ² – b ² | 00:07:00 | ||

Lecture 37 Factorize using identity (a + b )² and (a – b )² | 00:08:00 | ||

Lecture 38 Factorize using identity ( a + b + c ) ² | 00:05:00 | ||

Lecture 39 Factorization by middle term split | 00:12:00 | ||

Algebraic Fractions | |||

Lecture 40 Simplification of algebraic fractions | 00:06:00 | ||

Coordinate axis – points and Line graph | |||

Lecture 41 All that you need to know about co ordinate axis | 00:04:00 | ||

Lecture 42 Some important facts needed to draw line graph | 00:03:00 | ||

Lecture 43 How to draw a line graph on coordinate plane | 00:03:00 | ||

Lecture 44 Drawing line graphs | 00:06:00 | ||

System of simultaneous linear equations in two variables | |||

Lecture 45 Simultaneous Linear Equations in two variables- intro | 00:03:00 | ||

Lecture 46 Graphical method of solving linear equations | 00:06:00 | ||

Lecture 47 Graphical method – more sums | 00:10:00 | ||

Lecture 48 Method of Elimination by substitution | 00:09:00 | ||

Lecture 49 Method of Elimination by Equating coefficients | 00:11:00 | ||

Lecture 50 Method of Elimination by cross multiplication | 00:07:00 | ||

Lecture 51 Equations reducible to simultaneous linear equations | 00:12:00 | ||

Lecture 52 Word Problems on Linear equations | 00:18:00 | ||

Polynomials | |||

Lecture 53 Polynomials and Zeros of polynomials | 00:10:00 | ||

Lecture 54 Remainder Theorem | 00:04:00 | ||

Lecture 55 Factor Theorem | 00:08:00 | ||

Lecture 56 Practice problems on Remainder and Factor Theorem | 00:09:00 | ||

Lecture 57 Factorization using factor Theorem | 00:10:00 | ||

Quadratic Polynomials | |||

Lecture 58 Zeros of polynomials α, β & γ | 00:10:00 | ||

Lecture 59 Relation between zeros and coefficients of a polynomials | 00:13:00 | ||

Lecture 60 Writing polynomials if zeros are given | 00:06:00 | ||

Lecture 61 Practice problems on zeros of polynomials | 00:10:00 | ||

Lecture 62 Problems solving with α and β (part 1) | 00:11:00 | ||

Lecture 63 Problems solving with α and β (part 2) | 00:10:00 | ||

Quadratic Equations | |||

Lecture 64 what are Quadratic equations | 00:03:00 | ||

Lecture 65 Solutions by factorization method | 00:12:00 | ||

Lecture 66 Solutions by completing square formula | 00:06:00 | ||

Lecture 67 Deriving Quadratic formula | 00:05:00 | ||

Lecture 68 Practice problems by Quadratic formula | 00:07:00 | ||

Lecture 69 Solving complex quadratic equations by Quadratic Formula | 00:11:00 | ||

Lecture 70 Solutions of reducible to Quadratic Formula | 00:09:00 | ||

Lecture 71 Skilled problems on Quadratic Equations | 00:07:00 | ||

Lecture 72 Exponential problems reducible to Quadratic Equations | 00:06:00 | ||

Lecture 73 Nature of Roots of Quadratic Equations | 00:09:00 | ||

Lecture 74 Word problems on quadratic Equations Part 1 | 00:13:00 | ||

Lecture 75 Word problems on quadratic Equations Part 2 | 00:11:00 | ||

lecture 76 word problems on Quadratic | 00:12:00 | ||

Mock Exam | |||

Final Exam |

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### Instructors

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