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Algebra Fundamentals
Overview
Algebra can feel intimidating when symbols, equations and graphs appear together, yet it becomes easier when each idea is explained clearly. National Numeracy reports that nearly half of UK working-age adults have numeracy levels below those expected of an 11-year-old, showing why stronger maths foundations matter.
Algebra Fundamentals gives learners a clear online route into algebra basics, expressions, integers, BODMAS, polynomials, indices, brackets, factorisation, algebraic fractions, coordinate graphs, simultaneous equations and quadratic equations. This online algebra course supports teaching support, data entry, finance, accounts, CAD, surveying and office administration pathways.
Key Benefits Included
► Accredited by CPD
► Instant Access
► 24/7 Learning Assistance
► Self-paced learning and laptop, tablet, smartphone-friendly
► Fully online, interactive course with audio voiceover
► Developed by qualified professionals in the fields.
Learning Outcomes
This course builds algebra knowledge across expressions, equations, indices, factorisation, graphs, simultaneous equations and quadratic equations for confident maths study.
By the end of this course, learners will be able to:
► Define algebraic expressions, terms and simple equations.
► Identify polynomials, terms and degrees of polynomials.
► Apply BODMAS rules to simplify algebraic expressions.
► Add, subtract, multiply and divide algebraic expressions.
► Use index rules, fractional indices and exponent methods.
Who is This Course For?
This course suits learners who want a clear online route into algebra basics, maths confidence, further study and work-based numeracy.
This course is suitable for:
► Beginners who want to learn algebra from the start.
► Learners returning to maths after a study break.
► Students preparing for algebra, maths or science study.
► Adults who want stronger numeracy for work.
► Teaching assistants or tutor assistants supporting maths learners.
Certification
CPD Certification
After successfully completing the assessment of this course, you can apply for the CPD accredited certificates.
PDF certificate: £9.99
Hardcopy certificate: £15.99
Career Opportunities
This Algebra Fundamentals course supports maths knowledge for education support, data, finance, accounts, admin, CAD and technical pathways. Salaries vary by role, location and experience.
► Teaching Assistant — Average UK salary: £19,935 per year
► Maths Tutor Assistant / Tutor Support — Average UK salary: £20,000–£29,000 per year
► Data Entry Clerk — Average UK salary: £24,425 per year
► Finance Assistant — Average UK salary: £25,332 per year
► Accounts Assistant — Average UK salary: £27,500–£32,500 per year
Course Curriculum
The course covers a wide range of essential topics, including:
Excellent
4.7 Average - 8 Reviews
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 | ||
Certificate of Achievement
Upon completion, you will receive a CPD-accredited certificate recognised globally. Choose from:
Pdf Certificate & Transcript £7.99
Hardcopy Certificate & Transcript £17.99
This certification validates your knowledge and skills, boosting your employability in healthcare.
Algebra Fundamentals is an online maths course covering algebraic expressions, integers, BODMAS, indices, brackets, factorisation, algebraic fractions, coordinate graphs, simultaneous equations, polynomials and quadratic equations. It helps learners build stronger algebra confidence for study, work and further training.
Yes. Algebra Fundamentals is suitable for beginners because it starts with core algebra ideas before moving into equations, graphs, polynomials and quadratics. Learners can study online and build maths confidence step by step from home.
You will learn algebraic expressions, integers, BODMAS, indices, brackets, linear equations, algebraic identities, factorisation, algebraic fractions, coordinate graphs, simultaneous equations, polynomials, quadratic equations and word problems that support stronger maths understanding.
Yes. This course covers simple equations, linear equations, simultaneous linear equations and quadratic equations. Learners also explore word problems that use equation-solving methods, helping them connect algebra theory with practical maths problem-solving.
Yes. This course can help improve maths skills by strengthening algebra, equations, problem-solving, graphs, polynomials and quadratic understanding. It is useful for learners preparing for further study, workplace numeracy or maths-related career pathways.
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