Online Class: Algebra 101 — Beginner to Intermediate Level

Foundational to advanced, this algebra course offers insights into expressions, equations, and inequalities, fostering problem-solving capabilities in a structured online format. Special emphasis on real-world applications and advanced topics ensures comprehensive learning.

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  • 14
    Lessons
  • 24
    Exams &
    Assignments
  • 7,947
    Students
    have taken this course
  • 25
    Hours
    average time
  • 2.5
    CEUs
 
 
 

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"
(1,585 votes)

Lesson 1. Understanding the Language and Significance of Algebra

Algebra serves as a systematic study of numbers and their abstractions, providing foundational knowledge essential for understanding trigonometry and calculus. By mastering algebraic terminology and operations like variables and functions, students build a framework for tackling mathematical structures. 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. An Introduction to the Set of Real Numbers

The extensive set of real numbers includes all possible point placements on an infinite number line, comprising subsets such as natural, whole, and rational numbers, while also excluding infinities and imaginary quantities. These real numbers endow mathematical operations with specific properties like associativity and inverse, crucial for equation manipulation. Additional lesson topics: Real Numbers 10 Total Points
  • Lesson 2 Video
  • Assessment: Lesson 2 – The Set of Real Numbers

Lesson 3. Foundations of Algebra: Mastering Basic Operations

The essence of algebra lies in its ability to transform expressions while conserving their equality, necessitating a grasp of operations involving variables. This lesson guides students through orderly operations, equality maintenance, and strategic substitution for simplifying complex expressions. 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: The Building Blocks of Algebra

This lesson introduces functions as a relation between sets of numbers, highlighting key concepts such as domains and ranges, and explores the properties of functions, including one-to-one functions and the vertical and horizontal line tests. By mastering these core ideas, students progress towards understanding and manipulating functions, allowing for more advanced algebraic applications. 18 Total Points
  • Lesson 4 Video
  • Assessment: Lesson 4 - Functions
  • Assessment: Lesson 4 Exercises

Lesson 5. Linear Equations Unveiled

This lesson introduces students to the realm of linear equations by identifying key terms and demonstrating the process of graphing and solving these equations. It emphasizes how changes in slope and intercepts alter the function’s graphical presentation, bridging the gap to practical applications. 19 Total Points
  • Lesson 5 Video
  • Assessment: Lesson 5 – Linear Equations
  • Assessment: Lesson 5 Exercises

Lesson 6. Exploring Linear Inequalities: A Comprehensive Guide

This lesson explores the relationship between linear functions through inequalities, emphasizing the importance of graphing to determine solution sets. By mastering these concepts, you'll gain a deeper insight into how inequalities operate beyond simple equations. 14 Total Points
  • Lesson 6 Video
  • Assessment: Lesson 6 – Linear Inequalities
  • Assessment: Lesson 6 Exercises

Lesson 7. Graphing Planes in Multiple Dimensions

By exploring systems of linear equations, Lesson 7 offers an introduction to linear algebra and substitution as a method to solve complex multi-dimensional equations. It covers graphing techniques and showcases how linear functions intersect in higher dimensions, broadening mathematical comprehension. 10 Total Points
  • Lesson 7 Video
  • Assessment: Lesson 7 – Systems of Linear Equations

Lesson 8. Graphing Solutions: An Exploration of Linear Inequalities

Exploring the differences between solving systems of linear equations and inequalities, this lesson underlines the use of graphs to determine overlapping solution regions. The process is crucial for understanding linear optimization and programming, enabling learners to approach optimization problems graphically. 10 Total Points
  • Lesson 8 Video
  • Assessment: Lesson 8 – Systems of Linear Inequalities

Lesson 9. Word Problem Solving Techniques

Through systematic approaches, this lesson enables students to handle word problems by emphasizing the importance of unit analysis and variable identification. It builds on prior algebraic knowledge to facilitate real-world application, turning abstract concepts into practical tools. 14 Total Points
  • Lesson 9 Video
  • Assessment: Lesson 9 – Solving Word Problems I
  • Assessment: Lesson 9 Exercises

Lesson 10. Polynomials Unveiled: Understanding Their Structure and Solutions

Distinguishing between linear and polynomial functions, this lesson highlights quadratic functions as nonlinear polynomials represented by parabolas. Techniques like factoring and the quadratic formula enable the solving of quadratic equations, unraveling two potential solutions, which might be real or complex in nature. 18 Total Points
  • Lesson 10 Video
  • Assessment: Lesson 10 – Polynomial Functions
  • Assessment: Lesson 10 Exercises

Lesson 11. Evolving From Polynomials: Introduction to Exponential and Logarithmic Functions

This lesson covers the essential properties and applications of exponential and logarithmic functions, showing their relationship as inverse operations. Through practice problems, the lesson demonstrates how to solve equations and apply these functions in real-life contexts, such as exponential decay. 10 Total Points
  • Lesson 11 Video
  • Assessment: Lesson 11 – Exponential and Logarithmic Functions

Lesson 12. Polynomial Zeros and Factorization Methods

The lesson explores the use of factoring and synthetic division to analyze polynomial functions beyond quadratics, emphasizing the importance of zeros. It demonstrates problem-solving techniques to express polynomials algebraically by their roots. 12 Total Points
  • Lesson 12 Video
  • Assessment: Lesson 12 – Polynomial Functions II
  • Assessment: Lesson 12 Exercises

Lesson 13. Integrating Algebra into Geometry

By leveraging algebraic equations, we can extract geometric insights that would otherwise remain obscured, such as solving for dimensions given constraints. Practicing with these methods sharpens one's ability to bridge the gap between algebraic theory and geometric application. 13 Total Points
  • Lesson 13 Video
  • Assessment: Lesson 13 – Application of Algebra to Geometry
  • Assessment: Lesson 13 Exercises

Lesson 14. Algebra Meets Probability

Algebra serves as a key tool in this lesson to connect mathematical concepts within statistics and probability, employing variables and functions to understand random phenomena, such as multi-toss outcomes of coins. It further highlights algebra's role in deriving statistical metrics, showcasing practical applications in data analysis. 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
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

Online CEU Certificate
  • 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
Document Your CEUs on Your Resume
 
Course Title: Algebra 101: Beginner to Intermediate Level
Course Number: 9770451
Lessons Rating: 4.1 / 5 Stars (1,585 votes)
Languages: English - United States, Canada and other English speaking countries
Availability: With online access available nationwide, this course reaches all U.S. states, including California, Texas, Florida, New York, Pennsylvania, Illinois, Ohio, and Georgia. Additionally, it’s open to learners in English-speaking countries such as the UK, Australia, Canada, and New Zealand.
Last Updated: December 2023
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.
Course Type: Self-Paced, Online Classes
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.