Build strong problem-solving skills by mastering Algebra Fundamentals. Learn equations, variables, expressions, and practical techniques to simplify calculations, improve logical thinking, and confidently tackle mathematical challenges in everyday and academic situations.
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Algebra Fundamentals is a comprehensive course designed to build strong foundations in Algebra Basics, helping learners understand essential mathematical concepts and techniques. This course introduces Algebraic Expressions, Variables and Constants, mathematical operations, and algebraic reasoning skills. Learners will develop confidence in working with equations, formulas, and problem-solving methods through structured lessons and practical examples.
This course covers key algebra topics including operations on algebraic expressions, indices (exponents), multiplication and division of expressions, brackets in algebra, and Linear Equations. Learners will explore algebraic identities, changing the subject of formulas, linear inequalities, factorisation, algebraic fractions, coordinate axes, and line graphs. These skills support effective Equations Solving and mathematical decision-making.
By completing Algebra Fundamentals, learners will gain a deeper understanding of Polynomial Basics, quadratic polynomials, quadratic equations, and functions introduction. The course develops logical thinking, analytical ability, and Problem Solving skills required for further study in mathematics, science, engineering, and related fields. It is ideal for anyone seeking to strengthen their algebraic knowledge.
After completing the Algebra Fundamentals course assessment, you will be eligible to receive a CPD-accredited certificate worth £9 from One Education to demonstrate your achievement.
The certificate is also available as a printed hard copy delivered by post for £15.
Algebra Fundamentals introduces learners to the core principles of algebra, including variables, constants, algebraic expressions, equations, polynomials, functions, and mathematical operations. This course develops essential algebraic reasoning skills and helps learners understand how to represent, simplify, and solve mathematical problems effectively.
Studying Algebra Fundamentals strengthens problem-solving abilities, logical thinking, and confidence in applying algebraic concepts. The course supports learners in building a strong mathematical foundation for further study in mathematics, science, technology, engineering, and other fields that require analytical skills.
The Algebra Fundamentals course has a total study time of 11 hours, 16 minutes. This comprehensive programme is designed for flexible learning, allowing learners to progress at their own pace while developing essential algebra skills, including algebraic expressions, variables and constants, linear equations, mathematical operations, equations solving, polynomial basics, functions introduction, algebraic reasoning, problem-solving techniques, and core algebra concepts.
The Algebra Fundamentals course requirements are simple and suitable for beginners. Learners should have a basic understanding of mathematics, an interest in developing algebraic reasoning, problem-solving, and analytical skills, and a willingness to explore concepts such as variables, expressions, equations, and functions. Access to an internet-enabled device and commitment to regular study are recommended for effective learning and successful course completion.
This course introduces the core concepts of algebra, covering algebraic expressions, variables and constants, mathematical operations, linear equations, equations solving, polynomial basics, functions introduction, algebraic reasoning, and problem-solving techniques.
No. It is suitable for beginners, students, and anyone looking to build a strong foundation in algebra and improve their mathematical reasoning and problem-solving skills.
The course is delivered online, allowing you to learn at your own pace and develop essential algebra skills conveniently.
Yes. Algebra exercises, equation-solving tasks, expression activities, problem-solving questions, practical examples, and quizzes may be included to reinforce learning.
You will receive a certificate of completion after successfully finishing the course.
This course supports academic and professional development in mathematics, engineering, computer science, data analysis, finance, science, education, and other fields requiring strong analytical and quantitative skills.
| 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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