Online Class: PreAlgebra 101
no certificate
with CEU Certificate*

15Lessons

31Exams &
Assignments 
14Hours
average time 
1.4CEUs

4,520Students
have taken this course
Course Description
An understanding of algebra is a foundational skill to virtually all topics in higherlevel mathematics, and it is useful in science, statistics, accounting, and numerous other professional and academic areas. This course builds a bridge between simple wholenumber arithmetic operations, such as addition, subtraction, multiplication, and division, and algebra.
This course begins by reviewing the basic arithmetic operations and their mutual relationships, and it then goes on to develop an understanding of fractions and how to perform operations on them. Exponents and their properties are then derived, and radicals (and other roots) are presented.
This course shows how exponents and roots are related, as well as how these are related to multiplication and division. Throughout this first portion of the course, the use of symbols in place of numbers is introduced and developed, leading to an investigation into variables and algebraic relations in the latter portion of the course.
This course also describes how to graph algebraic relations and how to solve simple linear equations. Finally, the course applies these various concepts to geometry by considering some of the characteristics of triangles, rectangles, and circles, and it also applies them to basic probability and statistics.
 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  Review of Basic Operations
 Lesson 1 Video A
 Lesson 1 Video B : How to Take an Exam
 Review 5 Practice Worksheets
 Review 2 Articles: Basic Math Review; Introduction to Negative Numbers
 Complete: Introduction Assignment
 Complete: Lesson 1 Exercises
 Complete Exam: Lesson 1  Review of Basic Operations
Lesson 2  Fractions I
 Lesson 2 Video
 Review 5 Practice Worksheets
 Review Article: Fraction Worksheets
 Complete: Lesson 2 Exercises
 Complete Exam: Lesson 2 – Fractions I
Lesson 3  Fractions II
 Lesson 3 Video
 Review 5 Practice Worksheets
 Review Article: Fractions Help and Tutorials
 Complete: Lesson 3 Exercises
 Complete Exam: Lesson 3 – Fractions II
Lesson 4  Decimals, Percents, and Ratios
 Lesson 4 Video
 Review 5 Practice Worksheets
 Review 3 Articles: Convert Decimals to Fractions; Help with Ratios; Understanding Percentages
 Complete: Lesson 4 Exercises
 Complete Exam: Lesson 4 – Decimals, Percents, and Ratios
Lesson 5  Exponents I
 Lesson 5 Video
 Review 5 Practice Worksheets
 Review Article: The Law of Exponents
 Complete: Lesson 5 Exercises
 Complete Exam: Lesson 5 – Exponents I
Lesson 6  Exponents II
 Lesson 6 Video
 Review 5 Practice Worksheets
 Review 2 Articles: Exponents: Scientific Notation; Solving Negative Exponents
 Complete: Lesson 6 Exercises
 Complete Exam: Lesson 6 – Exponents II
Lesson 7  Radicals I
 Lesson 7 Video
 Review 5 Practice Worksheets
 Review 2 Articles: How to Simplify Fraction Exponents; What is the definition of a square root?
 Complete: Lesson 7 Exercises
 Complete Exam: Lesson 7 – Radicals I
Lesson 8  Radicals II
 Lesson 8 Video
 Review 5 Practice Worksheets
 Review Article: Operations With Radicals
 Complete: Lesson 8 Exercises
 Complete Exam: Lesson 8 – Radicals II
Lesson 9  Variables and Algebraic Relations
 Lesson 9 Video
 Review 5 Practice Worksheets
 Review Article: Explaining Independent and Dependent Variables
 Complete: Lesson 9 Exercises
 Complete Exam: Lesson 9 Variables and Algebraic Relations
Lesson 10  Graphing Algebraic Relations
 Lesson 10 Video
 Review 5 Practice Worksheets
 Review Article: Free graph paper and grids to print
 Complete Exam: Lesson 10 ? Graphing Algebraic Relations
Lesson 11  Solving Linear Equations
 Lesson 11 Video
 Review 5 Practice Worksheets
 Review Article: Strategies for Solving Linear Equations
 Complete: Lesson 11 Exercises
 Complete Exam: Lesson 11 Solving Linear Equations
Lesson 12  Geometry I: Rectangles and Triangles
 Lesson 12 Video
 Review 5 Practice Worksheets
 Review 2 Articles: Basic Geometry Concepts with Videos; How to Calculate Area
 Complete: Lesson 12 Exercises
 Complete Exam: Lesson 12 – Geometry I: Rectangles and Triangles
Lesson 13  Geometry II
 Lesson 13 Video
 Review 4 Practice Worksheets
 Review Article: Area of a Circle
 Complete: Lesson 13 Exercises
 Complete Exam: Lesson 13 – Geometry II
Lesson 14  Introduction to Probability
 Lesson 14 Video
 Review 5 Practice Worksheets
 Review 2 Articles: How to Solve a Probability Math Problem; Introduction to Probability
 Complete: Lesson 14 Exercises
 Complete Exam: Lesson 14 Introduction to Probability
Lesson 15  Introduction to Statistics
 Lesson 15 Video
 Review 5 Practice Worksheets
 Review Article: Mean Median and Range Worksheets
 Take Poll: End of Course Poll
 Take Survey: Program Evaluation Followup Survey (End of Course)
 Complete: Lesson 15 Exercises
 Complete Exam: Lesson 15 Introduction to Statistics
 Complete: The Final Exam
Additional Course Information
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This course only
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Selfpaced  
Instructor support  
Time to complete  6 months 
No. of courses  1 course 
Certificate & CEUs
This course only
Includes certificate  
Includes CEUs  
Selfpaced  
Instructor support  
Time to complete  6 months 
No. of courses  1 course 
Certificates & CEUs
Includes all 500+ courses
Includes certificate  
Includes CEUs  
Selfpaced  
Instructor support  
Time to complete  12 Months 
No. of courses  500+ 
Certificates & CEUs
Includes all 500+ courses
Includes certificate  
Includes CEUs  
Selfpaced  
Instructor support  
Time to complete  Monthly 
No. of courses  500+ 
Learning Outcomes
 Describe basic operations or numbers and signs.
 Solve simple to complex fraction problems.
 Solve problems involving decimals, percents, and ratios.
 Solve problems involving exponents.
 Solve problems involving radicals.
 Know variables and algebraic relations.
 Graph algebraic relations.
 Solve linear equations.
 Solve problems involving basic geometry, rectangles and triangles.
 Solve probability and statistics problems, and
 Demonstrate mastery of lesson content at levels of 70% or higher.
Student Testimonials
 "What I liked most were the tests and assignments. It evaluates my knowledge....My teacher did a great work....My teacher did a great work."  Sunghee M.
 "What was most helpful were the detailed course lessons and the examples provided. Instructor was very knowledgeable and was very good about giving detailed feedback to correct any mistakes or misunderstandings....What was most helpful were the detailed course lessons and the examples provided. Instructor was very knowledgeable and was very good about giving detailed feedback to correct any mistakes or misunderstandings."  William Hunter R.
 "I enjoyed this course. I'm also glad I could get on this course as often as I could. I liked the 5 exercises before the assignments in each chapter, plus the videos helped. The break down of the material was good too. Also I noticed that the assignments and the exercises addressed my working knowledge of my work and the test addressed my verbal knowledge, which is good. I notice that I have some problems with verbal knowledge. This has to do with me and maybe a health problem. I'm glad to know this. It tells me what to work on....I enjoyed this course. I'm also glad I could get on this course as often as I could. I liked the 5 exercises before the assignments in each chapter, plus the videos helped. The break down of the material was good too. Also I noticed that the assignments and the exercises addressed my working knowledge of my work and the test addressed my verbal knowledge, which is good. I notice that I have some problems with verbal knowledge. This has to do with me and maybe a health problem. I'm glad to know this. It tells me what to work on."  Debbie E.
 "I just want to say express my sincere thank to the organizers and my instructor for being available for me. I learned a lot....I just want to say express my sincere thank to the organizers and my instructor for being available for me. I learned a lot."  Richard A.