# Algebra - Functions, Expressions and Equations Free Course

• 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.

###### Modules List( 53 )
• Module 1: Discovering expressions, equations and ...
• Expressions and variables
• Expressions and variables
• Operations in the right order
• Operations in the right order
• Composing expressions
• Composing expressions
• Composing equations and inequalities
• Composing expressions
• Representing functions as rules and graphs
• Representing functions as rules and graphs
• Module 2: Exploring real numbers
• Integers and rational numbers
• Integers and rational numbers
• Calculating with real numbers
• Calculating with real numbers
• The Distributive property
• The Distributive property
• Square roots
• Square roots
• Module 3: How to solve linear equations
• Properties of equalities
• Properties of equalities
• Fundamentals in solving equations in one or more steps
• Fundamentals in solving equations in one or more steps
• Ratios and proportions and how to solve them
• Ratios and proportions and how to solve them
• Similar figures
• Similar figures
• Calculating with percents
• Calculating with percents
• Module 4: Visualizing linear functions
• The coordinate plane
• The coordinate plane
• Linear equations in the coordinate plane
• Linear equations in the coordinate plane
• The slope of a linear function
• The slope of a linear function
• The slope-intercept form of a linear equation
• The slope-intercept form of a linear equation
• Module 5: Formulating linear equations
• Writing linear equations using the slope-intercept form
• Writing linear equations using the slope-intercept form
• Writing linear equations using the point-slope form and the standard form
• Writing linear equations
• Parallel and perpendicular lines
• Parallel and perpendicular lines
• Scatter plots and linear models
• Scatter plots and linear models
• Module 6: Linear inequalites
• Solving linear inequalities
• Solving linear inequalities
• Solving compound inequalities
• Solving compound inequalities
• Solving absolute value equations and inequalities
• Solving absolute value equations and inequalities
• Linear inequalities in two variables
• Linear inequalities in two variables
• Module 7: Systems of linear equations and inequali...
• Graphing linear systems
• Graphing linear systems
• The substitution method for solving linear systems
• The substitution method for solving linear systems
• The elimination method for solving linear systems
• The elimination method for solving linear systems
• Systems of linear inequalities
• Systems of linear inequalities
• Module 8: Exponents and exponential functions
• Properties of exponents
• Properties of exponents
• Scientific notation
• Scientific notation
• Exponential growth functions
• Exponential growth functions
• Module 9: Factoring and polynomials
• Monomials and polynomials
• Monomials and polynomials
• Special products of polynomials
• Special products of polynomials
• Polynomial equations in factored form
• Polynomial equations in factored form
• Factor polynomials on the form of x^2 + bx + c
• Factor polynomials on the form of X^2 + BX + C
• Factor polynomials on the form of ax^2 + bx +c
• Factor polynomials on the form AX^2 + BX + C
• The graph of y = ax^2 + bx + c
• The graph of aX^2 + bX + C
• Use graphing to solve quadratic equations
• Use graphing to solve quadratic equations
• Completing the square
• Completing the square
• The graph of a radical function
• The graph of a radical function
• The Pythagorean Theorem
• The Pythagorean Theorem
• The distance and midpoint formulas
• The distance and midpoint formulas
• Module 12: Rational expressions
• Simplify rational expression
• Simplify rational expression
• Multiply rational expressions
• Multiply rational expressions
• Division of polynomials
• Division of polynomials
• Add and subtract rational expressions
• Add and subtract rational expressions
• Solving rational expression
• Solving rational expression
• Algebra Assessment
• Assessment
• Algebra Assessment
###### Topics List ( 1 )
Expressions and variables
###### Topics List ( 1 )
Operations in the right order
###### Topics List ( 1 )
Composing expressions
###### Topics List ( 1 )
Composing equations and inequalities
###### Topics List ( 1 )
Representing functions as rules and graphs
###### Topics List ( 1 )
Integers and rational numbers
###### Topics List ( 1 )
Calculating with real numbers
###### Topics List ( 1 )
The Distributive property
Square roots
###### Topics List ( 1 )
Properties of equalities
###### Topics List ( 1 )
Fundamentals in solving equations in one or more steps
###### Topics List ( 1 )
Ratios and proportions and how to solve them
Similar figures
###### Topics List ( 1 )
Calculating with percents
###### Topics List ( 1 )
The coordinate plane
###### Topics List ( 1 )
Linear equations in the coordinate plane
###### Topics List ( 1 )
The slope of a linear function
###### Topics List ( 1 )
The slope-intercept form of a linear equation
###### Topics List ( 1 )
Writing linear equations using the slope-intercept form
###### Topics List ( 1 )
Writing linear equations using the point-slope form and the standard form
###### Topics List ( 1 )
Parallel and perpendicular lines
###### Topics List ( 1 )
Scatter plots and linear models
###### Topics List ( 1 )
Solving linear inequalities
###### Topics List ( 1 )
Solving compound inequalities
###### Topics List ( 1 )
Solving absolute value equations and inequalities
###### Topics List ( 1 )
Linear inequalities in two variables
###### Topics List ( 1 )
Graphing linear systems
###### Topics List ( 1 )
The substitution method for solving linear systems
###### Topics List ( 1 )
The elimination method for solving linear systems
###### Topics List ( 1 )
Systems of linear inequalities
###### Topics List ( 1 )
Properties of exponents
###### Topics List ( 1 )
Scientific notation
###### Topics List ( 1 )
Exponential growth functions
###### Topics List ( 1 )
Monomials and polynomials
###### Topics List ( 1 )
Special products of polynomials
###### Topics List ( 1 )
Polynomial equations in factored form
###### Topics List ( 1 )
Factor polynomials on the form of x^2 + bx + c
###### Topics List ( 1 )
Factor polynomials on the form of ax^2 + bx +c
###### Topics List ( 1 )
The graph of y = ax^2 + bx + c
###### Topics List ( 1 )
Use graphing to solve quadratic equations
###### Topics List ( 1 )
Completing the square
###### Topics List ( 1 )
The graph of a radical function
###### Topics List ( 1 )
The Pythagorean Theorem
###### Topics List ( 1 )
The distance and midpoint formulas
###### Topics List ( 1 )
Simplify rational expression
###### Topics List ( 1 )
Multiply rational expressions
###### Topics List ( 1 )
Division of polynomials
###### Topics List ( 1 )
Solving rational expression
Assessment
Assessment
##### Course Features
• Duration

2-3 Hours

• Publisher

Math Planet

• Video

No

• Audio

No

• Assessment

Yes

• Certification

Yes

• Price

Free

• Reward

50 Pts

• Responsive

No