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Algebra Fundamentals
Algebra Fundamentals
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Intermediate
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11 hours, 16 minutes
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Overview
Algebra can either be daunting or exciting; it all depends on your skills. Solving equations will become fun and effortless if you can acquire a solid grasp of the fundamentals of algebra. So, if you want to level up your algebra game, the Algebra Fundamentals course is what you need. Within a few steps, it will teach you the tips and tricks to bring brilliant scores in your exams.
From the engaging modules of the Algebra Fundamentals course, you will introduce yourself to the fundamental concepts of algebraic expression. The interactive lectures will help you understand the process of multiplication and division of algebraic expressions. Here, the modules are easy to digest; therefore, you will have no complications learning about formulas, quadratic equations, linear inequalities and other vitals of algebra.
After completing the Algebra Fundamentals course, you will be able to build your expertise in algebra. At One Education, there are no hidden fees, no sudden exam charges or unexpected payments. Everything will be cleared out before you even attempt to sign up. So you can join the course without any worries. Enrol now and start learning!
Course design
The course is delivered through our online learning platform, accessible through any internet-connected device. There are no formal deadlines or teaching schedules, meaning you are free to study the course at your own pace.
You are taught through a combination of
- Video Lessons
- Online study materials
Will I receive a certificate of completion?
Upon successful completion, you will qualify for the UK and internationally-recognised CPD accredited certification. You can choose to make your achievement formal by obtaining your PDF Certificate at the cost of £9 and Hard Copy Certificate for £15.
Why study this course
This Algebra Fundamentals course does not demand any special qualifications or requirements. Anyone above 16 and a good understanding of English and IT can enrol in this course. Here, the students will receive quality lectures on algebra along with an accredited certificate of achievement.
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 | 00:10:00 | ||
| 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 | 00:08:00 | ||
| 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 | 00:15:00 | ||
| 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 | ||
| Order Your Certificate | |||
| Order Your Certificate Now | 00:00:00 | ||
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