Online Class: ABCs of Algebra

Dive into Basic Algebra to master core concepts such as fraction manipulation, exponents, and FOIL, transforming abstract ideas into practical tools for solving real-world problems. Through methodical problem-solving approaches, you'll learn to graph solutions, factor trinomials, and confidently tackle word problems.
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  • 12
    Lessons
  • 24
    Exams &
    Assignments
  • 3,977
    Students
    have taken this course
  • 22
    Hours
    average time
  • 2.2
    CEUs
 
 
 

Course Description

Find out how algebra is simply a natural extension of the math you learned in elementary school. Basic Algebra is designed for all students who need a basic understanding of algebraic operations including simplifying, factoring, solving equations and inequalities, working with fractions or exponents, graphing, and word problems.

 

In Basic Algebra we will walk step-by-step through a wide variety of explained problems. Learn to perform the steps to solve equations and graph solutions. Understand FOIL (when it isn't wrapping your baked potato). Discover methods for factoring trinomials quickly and easily. Understand slopes and line equations so that you can identify a slope from two points or draw a line with a slope and a point. See how word problems help you translate your math skills to your real world. Explore additional resources for more explanations and practice problems with immediate feedback. Allow the course to lead you from topic to topic, building on what you already know.
Courses Frequently Bought Together:
  • 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:
4.34 / 5 Stars (Average Rating)
"Extraordinarily Helpful"
(1,521 votes)

Lesson 1. Understanding Algebra: A Journey Through Numbers and Symbols

Concepts like constants and variables are presented as foundational elements in algebra, illustrating how they function within open and closed sentences. The lesson uses practical examples to demonstrate substitution and evaluation, easing learners into equation-solving with common axioms and properties. Additional lesson topics: Basics of Algebra 7 Total Points
  • Lesson 1 Video A
  • Lesson 1 Video B : How to Take an Exam
  • Review 5 Practice Worksheets
  • Lesson discussions: Reasons for Taking this Course
  • Complete: Introduction Assignment
  • Assessment: Lesson 1 Terminology: Words and Symbols

Lesson 2. Identity Elements and Axioms in Action

Lesson Summary 5: The lesson outlines how the closure property ensures certain operations on integers remain within the set of integers and introduces algebraic properties like identity elements to simplify equations. It emphasizes the significance of zero and one as pivotal elements in maintaining balance and simplicity in algebraic expressions, preparing learners for handling more complex mathematical concepts. Additional lesson topics: Properties of Arithmetic 16 Total Points
  • Lesson 2 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 2 Exercises
  • Assessment: Lesson 2 - Properties and Principles of Equations

Lesson 3. Positive and Negative Numbers in Equations

This lesson on directed numbers delves into adding, subtracting, multiplying, and dividing both positive and negative numbers, emphasizing the importance of the absolute value and inverse properties. Through practical examples, it shows how these principles apply to equations featuring variables. 14 Total Points
  • Lesson 3 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 3 - Directed Numbers in Equations
  • Assessment: Lesson 3 Exercises

Lesson 4. Dissecting Algebra: Rules and Techniques for Simplification

When solving linear inequalities, the solution can be demonstrated using number lines to reflect the inclusion or exclusion of boundaries within solutions. Inequalities differ from equalities and often require graphing to effectively visualize solutions and their ranges, especially when dealing with rational numbers. Additional lesson topics: Practice using FOIL 16 Total Points
  • Lesson 4 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 4 Exercises
  • Assessment: Lesson 4 - Solving Problems using Equations and Inequalities

Lesson 5. Exponents 101

Negative exponents signal reciprocal operations, transforming base inverses and utilizing straightforward examples to illustrate base and exponent manipulations, even when the base is negative. The lesson methodically shows applying exponents in practical contexts, particularly scientific notation, bridging everyday mathematical applications and classroom theory. 29 Total Points
  • Lesson 5 Video
  • Review 5 Practice Worksheets
  • Complete Assignment: Additional Resources for Radicals and Exponents
  • Assessment: Lesson 5 Exercises
  • Assessment: Lesson 5 - Exponents and Roots

Lesson 6. Polynomials: A Comprehensive Guide

The properties of exponents, such as the product of powers and power of a product, simplify polynomial expressions by adding or multiplying exponents when bases are the same, ensuring clarity in operations involving expanded polynomials and exponents. Additional lesson topics: Polynomial division; Practice adding and subtracting polynomials 20 Total Points
  • Lesson 6 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 6 Exercises
  • Assessment: Lesson 6 - Polynomials

Lesson 7. An Introduction to Fractions

Signs in fractions determine positivity or negativity, and operations between fractions depend on aligning signs for addition and subtraction. In multiplication and division, different signs result in a negative product, while similar signs give a positive result. 17 Total Points
  • Lesson 7 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 7 Exercises
  • Assessment: Lesson 7 - Fractions

Lesson 8. Discovering the Art of Factoring: A Deep Dive into Algebraic Problem-Solving

Lesson Summary 4: Break down algebraic expressions by uncovering their prime components and sharing polynomial factoring secrets. Gain mastery in the mathematical dance of rearranging terms and using properties to reveal hidden factors. 5 Total Points
  • Lesson 8 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 8 Exam - Factoring

Lesson 9. Factor and Conquer: Solving Algebra with Combined Factoring Methods

This section on factoring advances the skill of identifying combinations such as common factors and trinomial squares, vital for decomposing expressions into simpler forms. Logic-driven steps are shown to empower the solution of polynomial equations and decipher real-world applications efficiently. Additional lesson topics: Solve by Factoring 15 Total Points
  • Lesson 9 Video
  • Review Practice Worksheet: optional-Exercise1forLesson9.pdf
  • Assessment: Lesson 9 Exercises
  • Assessment: Lesson 9 - Factoring to Solve Problems

Lesson 10. Mastering Linear Equations and Inequalities

The coordinate plane is formed by intersecting x- and y-axes, dividing it into four quadrants to graph ordered pairs, with positive/negative numbers indicating direction from the axes. The graph of a line, determined by at least two points, displays the linear relationship, conforming to the established domains (x values) and ranges (y values). Additional lesson topics: More help on slopes; Practice of x and y intercepts; Practice finding the slope of a line 15 Total Points
  • Lesson 10 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 10 Exercises
  • Assessment: Lesson 10 - Linear Equations and Inequalities

Lesson 11. Quick Methods to Solve Two-Variable Systems

Graphing offers a visual representation of systems of equations, although it can be tricky for large numbers. Intersection of graphed lines can pinpoint solutions, but when lines overlap or are parallel, it indicates dependent systems or inconsistent systems, respectively. 16 Total Points
  • Lesson 11 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 11 Exercises
  • Assessment: Lesson 11 - Solving Systems of Equations

Lesson 12. Mastering Quadratic Solutions

Quadratic equations can be solved using methods like factoring, completing the square, and the quadratic formula, each applicable under different scenarios. Additionally, understanding the property of square roots and the approach to quadratic inequalities enhances your problem-solving toolkit. Additional lesson topics: Practice Solving Motion Problems; Algebra Review 227 Total Points
  • Lesson 12 Video
  • Review 5 Practice Worksheets
  • Lesson discussions: Final Course Poll - Your Opinion; Program Evaluation Follow-up Survey (End of Course); Course Comments; Reasons for Taking this Course
  • Assessment: Lesson 12 - More Quadratic Equation Solution Methods
  • Assessment: The Final Exam
397
Total Course Points
 

Learning Outcomes

By successfully completing this course, students will be able to:
  • Identify properties and principles of equations.
  • Define algebra terminology.
  • Understand directed numbers in equations.
  • Solve problems using equations and inequalities.
  • Solve problems using exponents and roots.
  • Solve polynomials.
  • Solve problems involving fractions.
  • Solve problems by using factoring.
  • Solve linear equations and inequalities.
  • Solve systems of equations.
  • Solve quadratic equations.
  • 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: ABCs of Algebra
Course Number: 9770476
Lessons Rating: 4.34 / 5 Stars (1,521 votes)
Languages: English - United States, Canada and other English speaking countries
Availability: Available across all 50 U.S. states, this course includes key regions such as California, Texas, Florida, New York, Pennsylvania, Illinois, Ohio, and Georgia. The course is also open in major English-speaking countries, including Australia, Canada, the UK, and Ireland.
Last Updated: June 2024
CEU Value: 2.2 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

  • "This instructor was very helpful and explained why problems were incorrect and how to get the correct answer. Excellent!" -- Denise T.
  • "Great overview of algebra, presented by a caring instructor!" -- Muffett V.
  • "Very helpful and prompt. Very pleased." -- Margie C.
  • "I couldn't have gotten a better instructor for this class. If I grade to grade her I wuld give her an A." -- LATUNIA P.
  • "The instructor was great." -- Sandy E.
  • "The most helpful part of the class was the exercises that were available at the end of each chapter." -- Sandy E.
  • "The instructor seemed knowledgeable, warm, and human.The exercises were most helpful. There is no way to learn this stuff without practice. The exercises enable true learning." -- BARBARA P.
  • "Very helpful." -- Susan W.
  • "Lots of practice samples available." -- Susan W.
  • "The instructor was unbelievably available and interested in my questions and comments. Very professional and very knowledgable." -- Kate S.

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