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
  • 24
    Exams &
  • 7,685
    have taken this course
  • 25
    average time
  • 2.5

Course Description

From Basics to Brilliance: Dive into the World of Algebra

In today's fast-paced and ever-evolving world, mathematical competency is no longer a luxury – it's a necessity. From managing household budgets to interpreting data-centric news, the importance of a solid foundation in mathematics, particularly Algebra, cannot be overemphasized. Whether you are a student setting the stage for advanced studies or an adult learner seeking to sharpen your analytical acumen, the transition from arithmetic to algebra opens doors to a world of abstract thinking and logical reasoning.

Why Algebra?
During our initial learning years, we all become familiar with the basics of arithmetic - adding, subtracting, multiplying, and dividing numbers. As we grow, the patterns of numbers beckon us to explore further, to understand not just the 'how' but also the 'why' behind mathematical operations. Enter Algebra, a branch of mathematics that goes beyond the specifics of numbers, introducing us to the exciting world of variables, constants, and their interplay. By delving into algebra, you unravel the mysteries of relationships between varying quantities, setting the stage for more advanced mathematical studies like calculus and trigonometry.

Course Overview
Our "Beginner to Intermediate Algebra" online course is tailored to guide learners through this intriguing transition. Modern data has consistently highlighted the importance of algebraic knowledge in diverse sectors, from technology to finance. Hence, understanding the crux of algebraic operations – be it simplifying expressions, factoring complex numbers, or decoding word problems – can enhance problem-solving abilities and set you apart in professional and academic realms.

Curriculum Breakdown:

Lesson 1: Introduction to Algebra
Unravel the world of algebra by understanding its key terms and the underlying motivation for its study. Engage in assignments that set the stage for upcoming modules.

Lesson 2: Journey Through Real Numbers
Dive into the vast ocean of real numbers. Get acquainted with their properties, classifications, and significance in the algebraic world.

Lesson 3: Mastering Algebraic Operations
From addition to division, explore how operations are transformed when we introduce variables into the mix.

Lesson 4: The Magic of Functions
Discover how functions encapsulate relationships between numbers and learn to interpret, represent, and utilize them effectively.

Lesson 5: Linear Equations & Their Graphs
Delve into the world of lines, slopes, and intercepts. Understand the foundational blocks of algebraic equations.

Lesson 6: Exploring Linear Inequalities
Not everything is equal. Learn the nuances of inequalities and their graphical representations.

Lesson 7: Systems of Equations – Dual Interplay
When equations come in pairs or sets, there's a system. Decode methods to solve and interpret them.

Lesson 8: Systematic Inequalities
Venture into a more advanced realm where inequalities come together to form systems, providing richer insights.

Lesson 9: Word Problems – Algebra in Action
Witness the practical application of algebra as you tackle real-world problems using mathematical tools.

Lesson 10 & 12: Diving Deep into Polynomial Functions
Understand the power and versatility of polynomials across two intensive modules, from basics to advanced applications.

Lesson 11: Exponential & Logarithmic Functions
Grasp the concepts of growth and decay, exploring natural logarithms and their applications.

Lesson 13: Geometry Meets Algebra
Experience the confluence of shapes and equations, enhancing spatial reasoning.

Lesson 14: Probability and Statistics - Predicting the World
Conclude the course by applying algebra to predict outcomes and analyze data, laying a foundation for statistical studies.

In essence, this course is not merely about learning algebra but about fostering a way of thinking. Algebra trains the mind to handle abstract concepts, solve problems, and make informed decisions. So, whether you are kickstarting your mathematical journey or rekindling an old passion, this course promises clarity, competence, and confidence. Dive in and let the numbers lead the way!

  • 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:
4.1 / 5 Stars (Average Rating)
"Extraordinarily Helpful"
(1,513 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); Course Comments
  • Assessment: Lesson 14 – Application of Algebra to Statistics and Probability
  • Assessment: The Final Exam
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

Online CEU Certificate
  • Document Your Lifelong Learning Achievements
  • Earn an Official Certificate Documenting Course Hours and CEUs
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Document Your CEUs on Your Resume
Course Title: Algebra 101: Beginner to Intermediate Level
Course Number: 9770451
Lessons Rating: 4.1 / 5 Stars (1,513 votes)
Languages: English - United States, Canada and other English speaking countries
Availability: This course is online and available in all 50 states including: California, Florida, Georgia, Illinois, New York, Pennsylvania, Ohio, Texas, and Washington.
Last Updated: December 2023
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
Instructor: April Cordry-Moore
Syllabus: View Syllabus
Course Fee: $120.00 U.S. dollars

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Student Testimonials

  • "Thank you so much for the course. I learned so much about algebra and mastered fundamental algebra concepts." -- Germain A.
  • "instructor very supportive." -- John M.
  • "Course instructor was fantastic!" -- Carrie W.
  • "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.