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Algebra - Functions, Expressions and Equations

  • Description
  • Outcome
  • Certification
  • This free online course in algebra from Alison will guide you through among other things expressions, systems of equations, functions, real numbers, inequalities, exponents, polynomials, radical and rational expressions. The course is divided into 12 chapters and each chapter is divided into several lessons. Under each lesson you will find theory, examples and video lessons. This course is ideal for learners who want to study topics in algebra in detail.

  • This course will help you to understand expressions, equations and functions. You will be able to explore real numbers and solve linear equations, along with gaining a good knowledge of formulating linear equations and inequalities. You will know exponents and exponential functions. This course will help you to understand factoring, polynomials and how to formulate quadratic equations and radical expressions.

  • 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 - Functions, Expressions and Equations
  • Free

  • 2-3 Hours

  • Math Planet

  • Assessment

  • Certification

  • 50 Pts

Modules List( 53 )
  • Module 1: Discovering expressions, equations and ...
  • Module
    1
    Expressions and variables
    • Expressions and variables
  • Module
    2
    Operations in the right order
    • Operations in the right order
  • Module
    3
    Composing expressions
    • Composing expressions
  • Module
    4
    Composing equations and inequalities
    • Composing expressions
  • Module
    5
    Representing functions as rules and graphs
    • Representing functions as rules and graphs
  • Module 2: Exploring real numbers
  • Module
    6
    Integers and rational numbers
    • Integers and rational numbers
  • Module
    7
    Calculating with real numbers
    • Calculating with real numbers
  • Module
    8
    The Distributive property
    • The Distributive property
  • Module
    9
    Square roots
    • Square roots
  • Module 3: How to solve linear equations
  • Module
    10
    Properties of equalities
    • Properties of equalities
  • Module
    11
    Fundamentals in solving equations in one or more steps
    • Fundamentals in solving equations in one or more steps
  • Module
    12
    Ratios and proportions and how to solve them
    • Ratios and proportions and how to solve them
  • Module
    13
    Similar figures
    • Similar figures
  • Module
    14
    Calculating with percents
    • Calculating with percents
  • Module 4: Visualizing linear functions
  • Module
    15
    The coordinate plane
    • The coordinate plane
  • Module
    16
    Linear equations in the coordinate plane
    • Linear equations in the coordinate plane
  • Module
    17
    The slope of a linear function
    • The slope of a linear function
  • Module
    18
    The slope-intercept form of a linear equation
    • The slope-intercept form of a linear equation
  • Module 5: Formulating linear equations
  • Module
    19
    Writing linear equations using the slope-intercept form
    • Writing linear equations using the slope-intercept form
  • Module
    20
    Writing linear equations using the point-slope form and the standard form
    • Writing linear equations
  • Module
    21
    Parallel and perpendicular lines
    • Parallel and perpendicular lines
  • Module
    22
    Scatter plots and linear models
    • Scatter plots and linear models
  • Module 6: Linear inequalites
  • Module
    23
    Solving linear inequalities
    • Solving linear inequalities
  • Module
    24
    Solving compound inequalities
    • Solving compound inequalities
  • Module
    25
    Solving absolute value equations and inequalities
    • Solving absolute value equations and inequalities
  • Module
    26
    Linear inequalities in two variables
    • Linear inequalities in two variables
  • Module 7: Systems of linear equations and inequali...
  • Module
    27
    Graphing linear systems
    • Graphing linear systems
  • Module
    28
    The substitution method for solving linear systems
    • The substitution method for solving linear systems
  • Module
    29
    The elimination method for solving linear systems
    • The elimination method for solving linear systems
  • Module
    30
    Systems of linear inequalities
    • Systems of linear inequalities
  • Module 8: Exponents and exponential functions
  • Module
    31
    Properties of exponents
    • Properties of exponents
  • Module
    32
    Scientific notation
    • Scientific notation
  • Module
    33
    Exponential growth functions
    • Exponential growth functions
  • Module 9: Factoring and polynomials
  • Module
    34
    Monomials and polynomials
    • Monomials and polynomials
  • Module
    35
    Special products of polynomials
    • Special products of polynomials
  • Module
    36
    Polynomial equations in factored form
    • Polynomial equations in factored form
  • Module
    37
    Factor polynomials on the form of x^2 + bx + c
    • Factor polynomials on the form of X^2 + BX + C
  • Module
    38
    Factor polynomials on the form of ax^2 + bx +c
    • Factor polynomials on the form AX^2 + BX + C
  • Module 10: Quadratic equations
  • Module
    39
    The graph of y = ax^2 + bx + c
    • The graph of aX^2 + bX + C
  • Module
    40
    Use graphing to solve quadratic equations
    • Use graphing to solve quadratic equations
  • Module
    41
    Completing the square
    • Completing the square
  • Module
    42
    The quadratic formula
    • The quadratic formula
  • Module 11: Radical expressions
  • Module
    43
    The graph of a radical function
    • The graph of a radical function
  • Module
    44
    Simplify radical expressions
    • Simplify radical expressions
  • Module
    45
    Radical equations
    • Radical equations
  • Module
    46
    The Pythagorean Theorem
    • The Pythagorean Theorem
  • Module
    47
    The distance and midpoint formulas
    • The distance and midpoint formulas
  • Module 12: Rational expressions
  • Module
    48
    Simplify rational expression
    • Simplify rational expression
  • Module
    49
    Multiply rational expressions
    • Multiply rational expressions
  • Module
    50
    Division of polynomials
    • Division of polynomials
  • Module
    51
    Add and subtract rational expressions
    • Add and subtract rational expressions
  • Module
    52
    Solving rational expression
    • Solving rational expression
  • Algebra Assessment
  • Assessment
    • Assessment
    • Algebra Assessment
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