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Algebra in Mathematics

  • Description
  • Outcome
  • Certification
  • This free online course offers a comprehensive introduction to algebra and carefully explains the concepts of algebraic fractions. It guides you from basic operations, such as addition and subtraction, up to simplifying quadratic equations and more. It applies maths to real-world problems. This course is ideal for students looking for extra help, or even for a different approach to learning maths.

  • After completing this course you will have a good understanding of algebraic notation.You will be able to use algebra to calculate the cost of renting a car, the speed of a car, and temperature conversions. You will gain a good knowledge of simplifying, verifying, expanding, adding and subtracting algebraic expressions. You will be aware of the Distributive Law. This course will teach you algebraic fractions. You will learn binonial expressions, quadratic trinomials and many more algebraic concepts.

  • All Alison courses are free to study. To successfully complete a course you must score 80% or higher in each course assessments. Upon successful completion of a course, you can choose to make your achievement formal by purchasing an official Alison Diploma, Certificate or PDF.

    Having an official Alison document is a great way to share your success. Plus it’s:

    • Ideal for including in CVs, job applications and portfolios
    • An indication of your ability to learn and achieve high results
    • An incentive to continue to empower yourself through learning
    • A tangible way of supporting the Alison mission to empower people everywhere through education.

Algebra in Mathematics
  • Free

  • 3-4 Hours

  • XSIQ

  • Assessment

  • Certification

  • 50 Pts

Modules List( 18 )
  • Module
    1
    Introduction to Algebra
    • Introduction to AlgebraThis course introduces you to algebra. It uses interactive presentation to explain the concepts. This is ideal for those learners seeking to learn how to manipulate algebraic expressions. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
    • Introduction to algebra
    • The language of algebra
    • Algebraic notation
  • Module
    2
    Using Formulae 1
    • Using Formulae 1Many real-world problems require a formula to be used for a solution to be achieved. This course covering using formulae to solve algebraic problems. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
    • Using formulae
    • The XSIQ petrol pump
    • Petrol stations
    • Renting a car
    • Get real rent-a-car deal
    • Speed examples
    • Speed
    • Temperature
    • Temperature examples
    • Temperature converter
  • Module
    3
    Using Formulae 2
    • Using Formulae 2This free online course continues the use of formulae to solve algebraic problems. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
    • The using formulae speed video
    • The using formulae temperature video
  • Module
    4
    Algebraic Expressions 1
    • Algebraic Expressions 1 This free online course describes and explains algebraic equations. This is extremely useful for anyone interested in mathematics. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
    • Simplifying algebraic expressions without using algebra blocks
    • Verifying the simplified form of an algebraic expression
    • Verifying the simplification using substitution - examples
    • Verifying the simplification using a spreadsheet
    • Adding and subtracting terms - practice questions 1
    • Adding and subtracting terms - practice questions 2
    • Mulitplying terms - Commutative Law
    • Multiplying terms - rearranging 1
    • Multiplying terms - rearranging 2
    • Dividing terms - rearranging 1
    • Dividing terms - rearranging 2
    • Adding and subtracting like terms without using algebra blocks
  • Module
    5
    Algebraic Expressions 2
    • Algebraic Expressions 2This free online course continues algabraic expressions. It covers expanding and simplifying algebraic equations. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
    • Expanding and simplifying algebraic expressions
    • Distributive Law - algebra blocks
    • Distributive Law - expansion
    • Expanding and collecting like terms
    • Expanding and simplifying algebraic expressions
  • Module
    6
    Algebraic Fractions 1
    • Algebraic Fractions 1This free online course introduces algebraic fractions. It carefully explains the concepts and introduces basic operations, such as addition and subtraction. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
    • Introduction to algebraic fractions
    • Adding simple algebraic fractions
    • Subtracting algebraic fractions
    • Fractions with letters in the denominators
    • Binomials in denominator
    • Speed and algebraic fractions
    • The faster car takes less time
    • Calculating the time difference
    • Adding and subtracting algebraic fractions
  • Module
    7
    Algebraic Fractions 2
    • Algebraic Fractions 2This free online course continues the lessons on algebraic fractions. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
    • Factorising algebraic expressions
    • Factorising algebraic expressions
    • Highest common factor
    • More complex highest common factors
    • Factorising algebraic expressions
  • Module
    8
    Algebraic Fractions 3
    • Algebraic Fractions 3This free online course continues the lessons on algabraic fractions. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
    • Factorising algebraic expressions - grouping
    • Grouping two and two
    • Grouping three terms and one term
  • Module
    9
    Terminology for Algebraic Expressions
    • Terminology for Algebraic ExpressionsThis course covers the terminology used when talking about and explaining algebraic equations. This is extremely useful for anyone interested in mathematics. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
    • Terminology for algebraic expressions
  • Module
    10
    Binomial Expressions 1
    • Binomial Expressions 1This free online course introduces you to binomial expressions. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
    • Binomial expressions
    • Binomial expansions with like and unlike terms
    • Binomial expansions
    • Binomial expansions and areas
    • Using binomial expansions for problem solving
    • Binomial expansions - reminder
    • Binomial expansion with two variables
    • Binomial expansions - practice questions
  • Module
    11
    Binomial Expressions 2
    • Binomial Expressions 2This interactive mathematics course continues the lessons on binomial expressions. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
    • Binomial expansions with perfect and non-perfect squares
    • Binomial expansions with non-perfect squares
    • Expanding perfect squares - practice questions
    • Binomial expansions with perfect squares
    • Binomial expansions with perfect squares
  • Module
    12
    Binomial Expressions 3
    • Binomial Expressions 3This free online course continues the lessons on binomial expressions. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
    • Binomial expansions - Difference of perfect squares
    • Difference of perfect squares (DOPS)
    • Expanding and simplifying algebraic expressions - practice questions
    • Expanding using the difference of perfect squares rule
    • Difference of perfect squares rule
    • Difference of perfect squares
  • Module
    13
    Completing the Square
    • Completing the SquareThis online course covers completing the square. It features hints and tips for expanding square algebraic expressions. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
    • Completing the square
    • Factorising quadratic trinomials using the method of completing the square
    • Process to factorise a quadratic trinomial by the method of completing the square
  • Module
    14
    Perfect Squares
    • Perfect SquaresThis free interactive course covers hints and tips for completing perfect squares. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
    • Using the difference of perfect squares 1
    • Using the difference of perfect squares 2
    • Factorising using the difference of perfect squares (DOPS) expressions
  • Module
    15
    Quadratic Trinomials
    • Quadratic TrinomialsThis section covers quadratic trinomials. If you thought binomials were heavy, wait until you see this one!The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
    • What are quadratic trinomials?
    • Factorising the general form by inspection
    • Factorising quadratic trinomials
    • Factorising algebraic expressions - quadratic trinomials
    • Factorising quadratic trinomials
    • Factorising quadratic trinomials
    • Factorisation of quadratic trinomials
  • Module
    16
    Substitution into Algebraic Expressions
    • Substitution into Algebraic ExpressionsWhen pronumerals are replaced by numbers or expressions, the process is called substitution. This course covers substitution. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
    • Substitution into algebraic expressions
  • Module
    17
    Summary of Factorisation
    • Summary of FactorisationThis course summarises the processes and procedures of factorisation. This provides great help in solving algebraic problems. The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
    • Summary of factorisation
    • Practice question - Sally's patio
    • Practice question - in the swim with algebra
    • Practice question - algebra can be fishy
  • Assessment
    • Assessment
    • Algebra Assessment
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