Algebra 101: Beginner to Intermediate Level
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with CEU Certificate*

14Lessons

29Exams &
Assignments 
25Hours
average time 
2.5CEUs

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Course Description
Beginner to Intermediate Algebra is intended for students who need to gather a basic understanding of how to perform Algebra operations. This course will benefit current students and adult learners who need to know how to perform basic Algebra operations which involve simplifying, factoring, or solving equations in the form of inequalities, fractions, exponents and word problems.
Even from their childhood days, most people have at least a basic grasp of arithmetic: addition and subtraction of numbers, for instance. As we master these basic operations, we begin to search for a more systematic and rigorous understanding of the behavior of numbers (particularly, sets of numbers) and functional relationships. This search is where we make the step from arithmetic to algebra. Algebra is the systematic study of numbers (or, more generally, quantity) and their relationships at an abstract level. By studying algebra, you can acquire the ability to analyze the relationships between numbers generally, rather than simply between particular numbers. These abilities pave the way for understanding other areas of mathematics such as trigonometry and calculus.
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Course Lessons
Lesson 1 – Algebra Terms and Motivation
This lesson will introduce you to the essential terminology of algebra as well as the reasons why studying algebra is important and helpful.Lesson 2 – The Set of Real Numbers
Now that you have gained a grasp of the essential purpose of and some of the important terms used in algebra, we can move on to study the subject in more depth.Lesson 3 – Algebraic Operations
In this lesson, you will learn (or review) how to perform addition, subtraction, multiplication, and division in the context of algebra.Lesson 4 – Functions
Once you have mastered the basic concepts associated with functions, you will then have all the tools you need to get into the more complicated (and more fun) aspects of algebra.Lesson 5 – Linear Equations
This lesson will introduce you to linear equations, including their properties, graphs, and solutions.Lesson 6 – Linear Inequalities
A slight twist on the concept of a linear equation is the linear inequality. Linear inequalities, instead of equating two functions, relate two functions in terms of their relative magnitudes.Lesson 7 – Systems of Linear Equations
This lesson will teach you how to solve socalled systems of linear equations using substitution and will extend your understanding beyond simple equations in two dimensions to equations in many dimensions.Lesson 8 – Systems of Linear Inequalities
As with systems of linear equations, we can also handle systems of linear inequalities.Lesson 9 – Solving Word Problems I
This lesson, then, will teach you some basic skills for dealing with problems that can arise in the real world.Lesson 10 – Polynomial Functions
This lesson, then, will teach you some basic skills for dealing with problems that can arise in the real world.Lesson 11 – Exponential and Logarithmic Functions
Now that we have covered polynomials, we will look at a special class of functions that differ quite drastically: logarithmic and exponential functions.Lesson 12 – Polynomial Functions II
In this lesson, we will learn how to find solutions to higherdegree polynomial equations.Lesson 13 – Application of Algebra to Geometry
In this lesson, we will apply what we've learned about algebra to the study of geometry. If you've carefully followed the course up to this point, much of what is discussed here should hold no surprises for you.Lesson 14 – Application of Algebra to Statistics and Probability
Although this lesson assumes some prior knowledge of probability and statistics, the concepts presented from these areas are relatively simple and understandable.
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Learning Outcomes
 Identify and define Algebra terms.
 Identify Real Numbers.
 Perform basic Algebraic Operations.
 Identify and create Algebra Functions.
 Identify and solve Linear Equations.
 Identify and solve Linear Inequalities.
 Identify and solve Algebra Word Problems.
 Identify and solve Polynomial Functions.
 Identify and solve Exponential and Logarithmic Functions, and
 Demonstrate mastery of lesson content at levels of 70% or higher.
Lesson 1 Assignment  Assignment  15 
Lesson 1 – Algebra Terms and Motivation  Exam  10 
Lesson 2 Assignment  Assignment  15 
Lesson 2 – The Set of Real Numbers  Exam  10 
Lesson 3 Assignment  Assignment  15 
Lesson 3 – Algebraic Operations  Exam  11 
Lesson 4 Assignment  Assignment  15 
Lesson 4 – Functions  Exam  10 
Lesson 5 Assignment  Assignment  25 
Lesson 5 – Linear Equations  Exam  10 
Lesson 6 Assignment  Assignment  15 
Lesson 6 – Linear Inequalities  Exam  11 
Lesson 7 Assignment  Assignment  15 
Lesson 7 – Systems of Linear Equations  Exam  10 
Lesson 8 Assignment  Assignment  15 
Lesson 8 – Systems of Linear Inequalities  Exam  10 
Lesson 9 Assignment  Assignment  15 
Lesson 9 – Solving Word Problems I  Exam  10 
Lesson 10 Assignment  Assignment  15 
Lesson 10 – Polynomial Functions  Exam  10 
Lesson 11 Assignment  Assignment  15 
Lesson 11 – Exponential and Logarithmic Functions  Exam  10 
Lesson 12 Assignment  Assignment  15 
Lesson 12 – Polynomial Functions II  Exam  9 
Lesson 13 Assignment  Assignment  15 
Lesson 13 – Application of Algebra to Geometry  Exam  9 
Lesson 14 Assignment  Assignment  15 
Lesson 14 – Application of Algebra to Statistics and Probability  Exam  9 
The Final Exam  Exam  46 
Total Points:  405 
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Student Testimonials
 "He was really good! The teacher emailed me back so quick when I had a question and that helped more than anything else! He emailed me back so quick that I could just get on with my courses and not really have to stop....He was really good! The teacher emailed me back so quick when I had a question and that helped more than anything else! He emailed me back so quick that I could just get on with my courses and not really have to stop."  Claire S.
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