Online Class: ABCs of Algebra
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.
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12Lessons

24Exams &
Assignments 
3,004Students
have taken this course 
22Hours
average time 
2.2CEUs
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 stepbystep 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
 SelfPaced
 6 Months to Complete
 24/7 Availability
 Start Anytime
 PC & Mac Compatible
 Android & iOS Friendly
 Accredited CEUs
Course Lessons
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
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
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
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
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
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
Combining Types of Factoring; Uses of Factoring  Examples. Additional lesson topics: Solve by Factoring 15 Total Points
 Lesson 9 Video
 Review Practice Worksheet: optionalExercise1forLesson9.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
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
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
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 Followup Survey (End of Course); Course Comments
 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
 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:
ABCs of Algebra
Course Number:
9770476
Lessons Rating:
4.3 / 5 Stars
(1,399 votes)
Languages:
English  United States, Canada and other English speaking countries
Category:
Availability:
This course is online and available in all 50 states including: California, Florida, Georgia, Illinois, New York, Pennsylvania, Ohio, and Texas.
Last Updated:
October 2021
Course Type:
SelfPaced, 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
Instructor:
April CordryMoore
Syllabus:
View Syllabus
Course Fee:
$85.00 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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