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Algebra for Beginners

4.8( 7 REVIEWS )
445 STUDENTS

Description:

Algebra is an area of mathematics that uses symbols to represent numbers in formulas and equations. Understanding these symbols and how they work together and provide structure to equations allows mathematicians to more efficiently write formulas and solve math problems. 

This Algebra for Beginners is an introduction to the basic principles and skills of algebra. Topics include Variables, Grouping Symbols, Equations, Translating Words Into Symbols, and Translating Sentences Into Equations. With this course you will learn to manipulate and solve basic algebraic expressions, solve rational expressions, changing the subject of formulae and using formulae. You will learn to work with integers, decimals and fractions, how to evaluate powers and roots and how to solve single and multi-variable equations and inequalities. Learn how to apply algebra to a wide range of real-world problems and study critical algebraic concepts like functions, domains and ranges.

Who is this Course for?

Algebra for Beginners is perfect for anyone trying to learn potential professional skills.

As there is no experience and qualification required for this course, it is available for all students from any academic background.

Entry Requirement:

  • This course is available to all learners, of all academic backgrounds.
  • Learners should be aged 16 or over to undertake the qualification.
  • Good understanding of English language, numeracy and ICT are required to attend this course.

Assessment:

This course does not involve any MCQ exams. Students need to answer 3 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.

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 00:05:00
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
Assessment
Course Certification
Order your Certificate 00:00:00

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