Algebra 101: Beginner to Intermediate Level

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14

Lessons
24

Exams &
Assignments
25

Hours
average time
2.5

CEUs
4,317

Students
have taken this course

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.

This online course takes the student's knowledge of arithmetic and extends it by introducing the concepts of variables and functions. These new concepts allow students to solve a range of problems involving unknown quantities in areas such as geometry, probability and statistics, and various real-world scenarios.

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.

Completely Online
Self-Paced
6 Months to Complete
24/7 Availability
Start Anytime
PC & Mac Compatible
Android & iOS Friendly
Accredited CEUs

Universal Class is an IACET Accredited Provider

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Course Lessons

Average Lesson Rating:

"Very Helpful"

(432 votes)

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. 11 Total Points

Lesson 1 Video A
Lesson 1 Video B : How to Take an Exam
Review 6 Articles: Basic Algebra Terms; Free Graph Paper; Graphs and Functions; Summary of Numbers Used in Algebra; The Language of Algebra; Variables
Complete Assignment: Introduction
Complete Exam: Lesson 1 – Algebra Terms and Motivation

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. 10 Total Points

Lesson 2 Video
Review 3 Articles: algebra numbers; complex numbers; Quiz on Properties of Real Numbers
Complete Exam: Lesson 2 – The Set of Real Numbers

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. 18 Total Points

Lesson 3 Video
Review 5 Articles: Algebraic Properties of Equality; Practice quiz on Order of Operations; Quiz on Properties of Equality; Quiz on the Order of Operations; Substitution
Complete: Lesson 3 Exercises
Complete Exam: Lesson 3 – Algebraic Operations

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. 18 Total Points

Lesson 4 Video
Review Article: Graphing Functions
Complete: Lesson 4 Exercises
Complete Exam: Lesson 4 - Functions

Lesson 5: Linear Equations

This lesson will introduce you to linear equations, including their properties, graphs, and solutions. 19 Total Points

Lesson 5 Video
Review Article: Graphing Linear Functions
Complete: Lesson 5 Exercises
Complete Exam: Lesson 5 – Linear Equations

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. 14 Total Points

Lesson 6 Video
Review 2 Articles: Graphing Linear Inequalities; Solve Linear Inequalities Tutorial
Complete: Lesson 6 Exercises
Complete Exam: Lesson 6 – Linear Inequalities

Lesson 7: Systems of Linear Equations

This lesson will teach you how to solve systems of linear equations using substitution and will extend your understanding beyond simple equations in two dimensions to equations in many dimensions. 10 Total Points

Lesson 7 Video
Review 2 Articles: Graphing a Linear Equation; Solving Linear Equations
Complete Exam: Lesson 7 – Systems of Linear Equations

Lesson 8: Systems of Linear Inequalities

As with systems of linear equations, we can also handle systems of linear inequalities. 10 Total Points

Lesson 8 Video
Review Article: Systems of linear inequalities
Complete Exam: Lesson 8 – Systems of Linear Inequalities

Lesson 9: Solving Word Problems

This lesson, then, will teach you some basic skills for dealing with problems that can arise in the real world. 14 Total Points

Lesson 9 Video
Review Article: How to Solve Algebra Word Problems
Complete: Lesson 9 Exercises
Complete Exam: Lesson 9 – Solving Word Problems I

Lesson 10: Polynomial Functions

This lesson, then, will teach you some basic skills for dealing with problems that can arise in the real world. 18 Total Points

Lesson 10 Video
Review Article: Graphing Polynomial Functions
Complete: Lesson 10 Exercises
Complete Exam: Lesson 10 – Polynomial Functions

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. 10 Total Points

Lesson 11 Video
Review Article: Exponential and Logarithmic Functions
Complete Exam: Lesson 11 – Exponential and Logarithmic Functions

Lesson 12: Polynomial Functions II

In this lesson, we will learn how to find solutions to higher-degree polynomial equations. 12 Total Points

Lesson 12 Video
Review Article: Polynomial Equations
Complete: Lesson 12 Exercises
Complete Exam: Lesson 12 – Polynomial Functions II

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. 13 Total Points

Lesson 13 Video
Complete: Lesson 13 Exercises
Complete Exam: Lesson 13 – Application of Algebra to Geometry

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. 56 Total Points

Lesson 14 Video
Take Poll: Let us know what you think of this course
Take Survey: Program Evaluation Follow-up Survey (End of Course)
Complete Exam: Lesson 14 – Application of Algebra to Statistics and Probability
Complete: The Final Exam

233

Total Course Points

Learning Outcomes

By successfully completing this course, students will be able to:

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.

Additional Course Information

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Course Title: Algebra 101: Beginner to Intermediate Level

Course Number: 9770451

Languages: English - United States, Canada and other English speaking countries

Category:

UniversalClass.com > Mathematics > Algebra and Math Studies

Course Type: General Education (Self-Paced, Online Class)

CEU Value: 2.5 IACET CEUs (Continuing Education Units)

CE Accreditation: Universal Class, Inc. has been accredited as an Authorized Provider by the International Association for Continuing Education and Training (IACET).

Grading Policy: Earn a final grade of 70% or higher to receive an online/downloadable CEU Certification documenting CEUs earned.

Assessment Method: Lesson assignments and review exams

Course Author: Jeff Clark, Ph.D.

Instructor: April Cordry-Moore

Syllabus: View Syllabus

Duration: Continuous: Enroll anytime!

Course Fee: $85.00 (no CEU Certification) || with Online CEU Certification: $110.00

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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." -- Claire S.
"All parts were very helpful." -- Maliaka M.
"The lesson assignments were very helpful. The netlinks were very helpful too. This is great for CEU. It helped me work off the rust. Great!!!!" -- William J.
"The instructor was very knowledgeable about Algebra and very helpful when I had questions." -- Donna N.
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"Prompt reply to my questions." -- Zeeshan M.