Online Class: Algebra 101 — Beginner to Intermediate Level

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.

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14

Lessons
24

Exams &
Assignments
6,518

Students
have taken this course
25

Hours
average time
2.5

CEUs

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

Course Lessons

Average Lesson Rating:

"Extraordinarily Helpful"

(1,358 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. Additional lesson topics: Graphs and Functions; Variables 11 Total Points

Lesson 1 Video A
Lesson 1 Video B : How to Take an Exam
Lesson discussions: Reasons for Taking this Course
Complete Assignment: Introduction
Assessment: 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. Additional lesson topics: Real Numbers 10 Total Points

Lesson 2 Video
Assessment: 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. Additional lesson topics: Algebraic Properties of Equality 18 Total Points

Lesson 3 Video
Assessment: Lesson 3 – Algebraic Operations
Assessment: Lesson 3 Exercises

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
Assessment: Lesson 4 - Functions
Assessment: Lesson 4 Exercises

Lesson 5: Equations, Linear Equations and Functions

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

Lesson 5 Video
Assessment: Lesson 5 – Linear Equations
Assessment: Lesson 5 Exercises

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
Assessment: Lesson 6 – Linear Inequalities
Assessment: Lesson 6 Exercises

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
Assessment: 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
Assessment: 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
Assessment: Lesson 9 – Solving Word Problems I
Assessment: Lesson 9 Exercises

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
Assessment: Lesson 10 – Polynomial Functions
Assessment: Lesson 10 Exercises

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
Assessment: 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
Assessment: Lesson 12 – Polynomial Functions II
Assessment: Lesson 12 Exercises

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
Assessment: Lesson 13 – Application of Algebra to Geometry
Assessment: Lesson 13 Exercises

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
Lesson discussions: Let us know what you think of this course; Program Evaluation Follow-up Survey (End of Course)
Assessment: Lesson 14 – Application of Algebra to Statistics and Probability
Assessment: 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.
Demonstrate mastery of lesson content at levels of 70% or higher.

Additional Course Information

Document Your Lifelong Learning Achievements
Earn an Official Certificate Documenting Course Hours and CEUs
Verify Your Certificate with a Unique Serial Number Online

View and Share Your Certificate Online or Download/Print as PDF
Display Your Certificate on Your Resume and Promote Your Achievements Using Social Media

Course Title: Algebra 101: Beginner to Intermediate Level

Course Number: 9770451

Lessons Rating: 4.1 / 5 Stars (1,358 votes)

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

Category:

UniversalClass.com > Mathematics > Algebra and Math Studies

Course Type: 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: Dr. Jeffrey Clark, Ph.D.

Instructor: April Cordry-Moore, UniversalClass Instructional Team

Syllabus: View Syllabus

Course Fee: $110.00 U.S. dollars

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Student Testimonials

"I enjoyed being able to get in touch with the professor." -- Sarah B.
"The instructor was very knowledgeable about Algebra and very helpful when I had questions." -- Donna N.
"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.
"All parts were very helpful." -- Maliaka M.
"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.
"Prompt reply to my questions." -- Zeeshan M.