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Algebra Fundamentals

What Will I Learn? Higher Indices – Laws of Indices (Exponent) Rational Expressions – Simplification of Algebraic Fractions to its …

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What Will I Learn?

Higher Indices – Laws of Indices (Exponent)

Rational Expressions – Simplification of Algebraic Fractions to its lowest form

Quadratic equations using Factorization method and Quadratic Formula

Quadratic polynomials

Zeros of polynomials α, β & γ

Finding Numerical Value of Algebraic Expressions

Algebraic Identities like ( a – b ) ² , ( a + b ) ³ , a ³ – b ³ , ( a + b + c ) ² etc

BODMAS – Adding and removing brackets in algebraic expressions

Word problems with the help of simultaneous linear equations

Addition, Subtraction,Multiplication and Division of Algebraic Expressions

Course Overview

This course in Algebra Fundamentals will enhance your mathematical skills. To understand the foundations of algebra, take this course.

You will learn about the roots of equations and various algebraic identities. This course will boost your knowledge of Algebra Fundamentals.

In this course, you will work through different equations, direct numbers and graphs. You will be guided through methods to figure out different equations. These include methods such as cross multiplication, substitution and more. By completing this course in Algebra Fundamentals, you will understand how to solve various mathematical problems. You will also have the chance to practice what you learn along the way.

Algebra Fundamentals is a best selling course developed by industry experts and already helped tons of students like you. It is suitable for anyone who wants to improve their knowledge and skills in the or relevant sector.

This course is accredited by CPD, so you will get a career boost upon completing this course. Our Algebra Fundamentals is packed with [unit_count] modules and [course_duration] of study. You will be awarded with a certificate of completion, the proof of your expertise in this field. If you want to get a job or looking for professional skills to excel in this field, a certificate from this course will help you appear as a strong candidate. You can also validate your certification from our website.

It doesn’t matter if you are willing to study full-time or part-time. This course is designed for any type of student and you can even complete it at your own pace. The materials are accessible from anyplace, any device and anytime.

Besides that, our experienced tutors will help you throughout the comprehensive syllabus of this course and answer all your queries through email.

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Certification

After successfully completing the course, you will be able to get the UK and internationally accepted certificate to share your achievement with potential employers or include it in your CV. The PDF Certificate + Transcript is available at £6.99 (Special Offer - 50% OFF). In addition, you can get a hard copy of your certificate for £12 (Shipping cost inside the UK is free, and outside the UK is £9.99).

Course Curriculum

Introduction
	Lecture 1 Introduction	00:03:00
Fundamental concepts on Algebraic Expressions
	Lecture 2 What is Algebra	00:02:00
	Lecture 3 Simple Equations	00:05:00
	Lecture 4 What are Polynomials	00:04:00
	Lecture 5 Terms in Polynomials	00:03:00
	Lecture 6 Degree of Polynomials	00:05:00
	Lecture 7 Writing statements to algebraic form	00:04:00
Operations on Algebraic Expressions
	Lecture 8 Integers and common mistakes in solving integers	00:13:00
	Lecture 9 Arrangement of Terms	00:07:00
	Lecture 10 Powers on integers	00:04:00
	Lecture11 Simplification using BODMAS	00:08:00
	Lecture 12 Distributive Properties in Polynomials	00:04:00
	Lecture 13 Simplify Polynomials	00:10:00
	Lecture 14 Additions of Polynomials	00:06:00
	Lecture 15 Subtractions of Polynomials	00:10:00
Indices ( Exponents)
	Lecture 16 The rules of Indices in algebra	00:11:00
	Lecture 17 Fractional indices	00:10:00
	Lecture 18 Understanding indices (practice questions)	00:07:00
	Lecture 19 Problems from IGCSE Last year papers	00:09:00
Multiplication and Division of Algebraic expressions
	Lecture 20 Multiplication of monomial to Polynomial	00:09:00
	Lecture 21 Multiplication of Polynomial by Polynomial	00:06:00
	Lecture 22 Division of algebraic expression by a monomial	00:08:00
	Lecture 23 Division of algebraic expression by another polynomial	00:09:00
	Lecture 24 Division of a polynomial by another polynomial with remainder	00:11:00
Brackets in Algebra
	Lecture 25 Rules of brackets	00:04:00
	Lecture 26 Simplification by removing brackets	00:11:00
Linear equations in one variable
	Lecture 27 Simplification of algebraic fractions	00:07:00
	Lecture 28 Rules to solve linear equations in one variable	00:03:00
	Lecture 29 Solving linear equations in one variable	00:07:00
	Lecture 30 Solving complex linear equations in one variable	00:10:00
	Lecture 31 Word problems on linear equations in one variable	00:13:00
Algebraic Identities
	Lecture 32 What are Identities?	00:05:00
	Lecture 33 Identity ( a + b ) ²	00:13:00
	Lecture 34 Identity ( a – b ) ² new	00:07:00
	Lecture 35 Identity a² – b² = (a-b) (a +b ) new	00:07:00
	Lecture 36 —- Standard Identities ( a + b + c ) ² = a ² + b ² + c ² + 2 a b + 2 a c +2 b c old	00:07:00
	Lecture 37 Identity (x + a) (x + b) Identity Derivation & Application new	00:08:00
	Lecture 38 Pascal’s Triangle _ Identity ( a + b ) ³ new	00:07:00
	Lecture 39 Identities( a – b ) ³, ( a ³ + b ³) and (a ³ – b ³) new	00:13:00
	Lecture 40 — Standard Identities a ³ + b ³ + c ³ – 3 a b c	00:10:00
Formula : Change of subject of formula
	Lecture 41 –Changing the subject of formula	00:08:00
Linear Inequalities
	Lecture 42 – Linear Inequalities	00:12:00
Resolve into factors
	Lecture 43 – Factorization by taking out common factor	00:10:00
	Lecture 44 – Factorization by grouping the terms	00:09:00
	Lecture 45 – factorize using identity a ² – b ²	00:07:00
	Lecture 46 – factorize using identity (a + b )² and (a – b )² (2)	00:08:00
	Lecture 47 – factorize using identity ( a + b + c ) ²	00:05:00
	Lecture 48 – factorization by middle term split	00:12:00
Algebraic Fractions
	Lecture 49 –Simplification of algebraic fractions	00:06:00
Coordinate axis – points and Line graph
	Lecture 50 All that you need to know about co ordinate axis	00:04:00
	Lecture 51 Some important facts needed to draw line graph	00:03:00
	Lecture 52 – How to draw a line graph on coordinate plane	00:03:00
	Lecture 53 Drawing line graphs	00:06:00
System of simultaneous linear equations in two variables
	Lecture 54 Simultaneous Linear Equations in two variables- intro	00:03:00
	Lecture 55 Graphical method of solving linear equations	00:06:00
	Lecture 56 Graphical method – more problems	00:10:00
	Lecture 57 Method of Elimination by substitution	00:09:00
	Lecture 58 Method of Elimination by Equating coefficients	00:11:00
	Lecture 59 Method of Elimination by cross multiplication	00:07:00
	Lecture 60 Equations reducible to simultaneous linear equations	00:12:00
	Lecture 61 Word Problems on Linear equations	00:18:00
Polynomials
	Lecture 62 Polynomials and Zeros of polynomials	00:10:00
	Lecture 63 Remainder Theorem	00:04:00
	Lecture 64 Factor Theorem	00:08:00
	Lecture 65 Practice problems on Remainder and Factor Theorem	00:09:00
	Lecture 66 Factorization using factor Theorem	00:10:00
Quadratic Polynomials
	Lecture 67 Zeros of polynomials α, β & γ	00:10:00
	Lecture 68 Relation between zeros and coefficients of a polynomials	00:13:00
	Lecture 69 Finding polynomials if zeros are known	00:06:00
	Lecture 70 Practice problems on zeros of polynomials	00:10:00
	Lecture 71Problems solving with α and β (part 1)	00:11:00
	Lecture 72 Problems solving with α and β (part 2)	00:10:00
Quadratic Equations
	Lecture73 what are Quadratic equations	00:03:00
	Lecture 74 Solutions by factorization method	00:12:00
	Lecture 75 Solutions by completing square formula	00:06:00
	Lecture 76 Deriving Quadratic formula	00:05:00
	Lecture 77 Practice problems by Quadratic formula	00:07:00
	Lecture 78 Solving complex quadratic equations by Quadratic Formula	00:11:00
	Lecture 79 Solutions of reducible to Quadratic Formula	00:09:00
	Lecture 80 Skilled problems on Quadratic Equations	00:07:00
	Lecture 81 Exponential problems reducible to Quadratic Equations	00:06:00
	Lecture 82 Nature of Roots of Quadratic Equations	00:09:00
	Lecture 83 Word problems on quadratic Equations Part 1	00:13:00
	Lecture 84 Word problems on quadratic Equations Part 2	00:11:00

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