# 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.

• 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
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
• Module
43
The graph of a radical function
• The graph of a radical function
• Module
44
• Module
45
• 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