Online Class: ABCs of Algebra
$60.00
no certificate
no certificate
 OR 
$85.00
with CEU Certificate*
with CEU Certificate*

12Lessons

23Exams &
Assignments 
22Hours
average time 
2.2CEUs

510Students
have taken this course
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
 Instructor Feedback
 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 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 7 Total Points
 Lesson 1 Video A
 Lesson 1 Video B : How to Take an Exam
 Review 5 Practice Worksheets
 Review 2 Articles: Basics of Algebra; Table of Mathematical Symbols
 Complete: Introduction Assignment
 Complete Exam: 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 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 16 Total Points
 Lesson 2 Video
 Review 5 Practice Worksheets
 Review 4 Articles: Basic Math 101 Online Course; Practice using Distributive Property; Practice using various Addition Properties; Practice using various Multiplication Properties
 Complete: Lesson 2 Exercises
 Complete Exam: 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
 Review 4 Articles: For practice in working with directed numbers and variables in equations; Practice dividing using positive and negative numbers; Practice multiplying positive and negative numbers; Practice subtracting using positive and negative numbers
 Complete: Lesson 3 Exercises
 Complete Exam: Lesson 3  Directed Numbers in Equations
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. 16 Total Points
 Lesson 4 Video
 Review 5 Practice Worksheets
 Review 3 Articles: For more help in solving problems; For more practice with order of operations; Practice using FOIL
 Complete: Lesson 4 Exercises
 Complete Exam: 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. 28 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. 28 Total Points
 Lesson 5 Video
 Review 5 Practice Worksheets
 Review 9 Articles: For a more indepth lesson on scientific notation; For practice with cubes; For practice with exponents; For practice with squares; For review and practice; For review of negative exponents; More Help with Radicals, Roots and Fractional Exponents; Multiplying and Dividing numbers with exponents; Working with Radicals
 Complete: Lesson 5 Exercises
 Complete Exam: 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. 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. 20 Total Points
 Lesson 6 Video
 Review 5 Practice Worksheets
 Review 5 Articles: Adding and subtracting polynomials; More application problems that apply polynomials; More practice of polynomial division; Multiplying polynomials; Practice adding and subtracting polynomials
 Complete: Lesson 6 Exercises
 Complete Exam: 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
 Review 5 Articles: More practice adding and subtracting fractions; More practice with fractions in algebra; Practice changing mixed numbers to improper fractions; Practice in simplifying fractions; Practice with Lowest or Least Common Denominator
 Complete: Lesson 7 Exercises
 Complete Exam: 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
 Review 3 Articles: More Practice Factoring the Difference Between Two Squares; More Practice Factoring Trinomials; Practice Simple Factoring
 Complete: 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. 15 Total Points
Combining Types of Factoring; Uses of Factoring  Examples. 15 Total Points
 Lesson 9 Video
 Review Practice Worksheet: optionalExercise1forLesson9.pdf
 Review 5 Articles: More help on slopes; Practice of x and y intercepts; Practice Solving Motion Problems; Practice Solving Quadratic factoring; Practice Solving Some Word Problems
 Complete: Lesson 9 Exercises
 Complete Exam: 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 15 Total Points
What Do Linear Equations Look Like?; The x and y Intercepts 15 Total Points
 Lesson 10 Video
 Review 5 Practice Worksheets
 Review 4 Articles: Additional help on slopes; Practice finding the slope of a line; Practice on slopeintercept form; Practice some very practical problems
 Complete: Lesson 10 Exercises
 Complete Exam: 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
 Review 7 Articles: Further help in solving by substitution; Further help in solving systems of equations by graphing; Further help in using addition/subtraction to eliminate a variable; Practice more word problems; Practice solving systems of equations; Practice solving systems with two equations; Solving Systems of Linear Equations
 Complete: Lesson 11 Exercises
 Complete Exam: 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 227 Total Points
The Property of Square Roots of Equal Numbers; Completing the Trinomial Square; The Quadratic Formula; Quadratic Inequalities 227 Total Points
 Lesson 12 Video
 Review 5 Practice Worksheets
 Review 6 Articles: Another explanation of completing the Trinomial Square; Basic information and sample graphs; Examples of graphing the solution; More examples using the quadratic formula; Practice completing the square; Video demonstration of square root method
 Take Poll: Final Course Poll  Your Opinion
 Take Survey: Program Evaluation Followup Survey (End of Course)
 Complete Exam: Lesson 12  More Quadratic Equation Solution Methods
 Complete: The Final Exam
396
Total Course Points
Additional Course Information
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Course Title:
ABCs of Algebra
Course Number:
9770476
Languages:
English  United States, Canada and other English speaking countries
Category:
Course Type:
General Education
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
Duration:
Continuous: Enroll anytime!
Course Fee:
$60.00 (no CEU Certification)  with CEU Certification: $85.00
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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, and
 Demonstrate mastery of lesson content at levels of 70% or higher.
Student Testimonials
 "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....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....Very helpful."  Susan W.
 "The instructor was unbelievably available and interested in my questions and comments. Very professional and very knowledgable....The instructor was unbelievably available and interested in my questions and comments. Very professional and very knowledgable."  Kate S.
 "The instructor was very helpful....The instructor was very helpful."  Karsten A.
 "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....The instructor was great."  Sandy E.