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Online Class: ABCs of Algebra

Algebra and Math Studies Picture
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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
  • Instructor Feedback
  • 6 Months to Complete
  • 24/7 Availability
  • Start Anytime
  • PC & Mac Compatible
  • Android & iOS Friendly
  • Accredited CEUs
Universal Class is an IACET Accredited Provider
 
 
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Course Lessons

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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
  • 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
  • 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
  • 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
  • Lesson 5 Video
  • Review 5 Practice Worksheets
  • Review 9 Articles: For a more in-depth 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
  • 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
  • Lesson 9 Video
  • Review Practice Worksheet: optional-Exercise1forLesson9.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
  • Lesson 10 Video
  • Review 5 Practice Worksheets
  • Review 4 Articles: Additional help on slopes; Practice finding the slope of a line; Practice on slope-intercept 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
  • 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
  • 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 Follow-up 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:
UniversalClass.com > Mathematics > Algebra and Math Studies
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 Cordry-Moore
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.

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