Online Class: ABCs of Algebra


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  • 12
    Lessons
  • 24
    Exams &
    Assignments
  • 2,861
    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.
  • 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:
4.3 / 5 Stars (Average Rating)
"Extraordinarily Helpful"
(1,344 votes)

Lesson 1 - Terminology: Words and Symbols

This lesson will cover these topics:
Numbers; Numerals, Numbers, and Digits – What's the Difference?; Equivalent, Greater Than, and Less Than (mathematical sentences: equality or inequality?); Variables and Constants; Axioms and Proper 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 - Properties and Principles of Equations

This lesson will cover these topics:
Special Addition and Subtraction Properties of Equations; Multiplication and Division Properties of Equations; Using the Properties to Simplify Terms in Equations, including Variables; Transformation Princip 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 - Directed Numbers in Equations

This lesson will cover these topics:
Understanding Directed (Positive and Negative) Numbers; Adding and Subtracting with Directed Numbers; Additive Inverse; Multiplying and Dividing with Directed Numbers; Multiplicative Inverse of a Number; How
14 Total Points
  • Lesson 3 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 3 - Directed Numbers in Equations
  • Assessment: Lesson 3 Exercises

Lesson 4 - Solving Problems using Equations and Inequalities

This lesson will cover these topics: Parentheses, Brackets, and Order of Operations; Simplifying an Algebraic Expression; The Steps to Solving a Problem; Problem Solving Examples; Practice Problems. 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 and Roots

This lesson will cover these topics:
Bases, Factors, and Exponents; Expressing Exponents in Words; Negative Exponents and Negative Bases; Adding and Subtracting Numbers with Exponents; Multiplying and Dividing Numbers with Exponents.
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

Lesson topics will include:
What is a Polynomial?; Adding and Subtracting Polynomials; Multiplying and Dividing Polynomials; The Product of Powers and the Power of a Product; Uses of Polynomials – Area and Volume Problems. 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 - Fractions

This lesson will cover these topics: What is a Fraction?; Proper Fractions, Improper Fractions, and Mixed Numbers; Equivalent Fractions and Lowest Terms; Greatest Common Factor and Lowest Common Denominator; Adding and Subtracting Fractions; Multiply 17 Total Points
  • Lesson 7 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 7 Exercises
  • Assessment: Lesson 7 - Fractions

Lesson 8 - Factoring to Solve Problems

This lesson will cover these topics: Common Factors; Using the Distributive Property in Graphing; Factoring the Difference of Two Squares; Squaring a Binomial 5 Total Points
  • Lesson 8 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 8 Exam - Factoring

Lesson 9 - Factoring to Solve Problems (Part 2)

This lesson will cover these topics:
Combining Types of Factoring; Uses of Factoring - Examples. 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 - Linear Equations and Inequalities

This lesson will cover these topics:
What Do Linear Equations Look Like?; The x and y Intercepts Additional lesson topics: More help on slopes; Practice finding the slope of a line; Practice of x and y intercepts
15 Total Points
  • Lesson 10 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 10 Exercises
  • Assessment: Lesson 10 - Linear Equations and Inequalities

Lesson 11 - Solving Systems of Equations

This lesson will cover these topics:
Two Variables and Two Sentences; Solving by Substitution; Solving with Addition or Subtraction to Eliminate a Variable; Solving by Graphing; Systems of Three or More Sentences.
16 Total Points
  • Lesson 11 Video
  • Review 5 Practice Worksheets
  • Assessment: Lesson 11 Exercises
  • Assessment: Lesson 11 - Solving Systems of Equations

Lesson 12 - More Quadratic Equation Solution Methods

This lesson will cover these topics:
The Property of Square Roots of Equal Numbers; Completing the Trinomial Square; The Quadratic Formula; Quadratic Inequalities 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)
  • 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
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Document Your CEUs on Your Resume
 
Course Title: ABCs of Algebra
Course Number: 9770476
Lessons Rating: 4.3 / 5 Stars (1,344 votes)
Languages: English - United States, Canada and other English speaking countries
Course Type: Self-Paced, Online Class
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.
Assessment Method: Lesson assignments and review exams
Syllabus: View Syllabus
Course Fee: $85.00 U.S. dollars

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Student Testimonials

  • "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 most helpful part of the class was the exercises that were available at the end of each chapter....The instructor was great." -- 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.
  • "Lots of practice samples available....Very helpful." -- Susan W.
  • "The instructor was unbelievably available and interested in my questions and comments. Very professional and very knowledgable." -- Kate S.
  • "The instructor was very helpful." -- Karsten A.