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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12

Lessons
24

Exams &
Assignments
3,548

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:

Geometry 101: Beginner to Intermediate Level

Basic Math 101

Pre-Algebra 101

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:

"Extraordinarily Helpful"

(1,416 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 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 - 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); 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 (1,416 votes)

Languages: English - United States, Canada and other English speaking countries

Category:

UniversalClass.com > Mathematics > Algebra and Math Studies

Availability: This course is online and available in all 50 states including: California, Florida, Georgia, Illinois, New York, Pennsylvania, Ohio, and Texas.

Last Updated: January 2023

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

Instructor: April Cordry-Moore

Syllabus: View Syllabus

Course Fee: $95.00 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.