Online Class: Pre-Algebra 101

This course builds a bridge between simple whole-number arithmetic operations, such as addition, subtraction, multiplication, and division, and algebra.

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15

Lessons
31

Exams &
Assignments
9,209

Students
have taken this course
14

Hours
average time
1.4

CEUs

Course Description

An understanding of algebra is a foundational skill to virtually all topics in higher-level mathematics, and it is useful in science, statistics, accounting, and numerous other professional and academic areas. This course builds a bridge between simple whole-number 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.

Thus, this course not only provides a fundamental set of algebra skills, but it demonstrates how these skills can be used to study various problems that have real-world applications.

Courses Frequently Bought Together:

Algebra 101: Beginner to Intermediate Level

Geometry 101: Beginner to Intermediate Level

Basic Math 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"

(3,090 votes)

Lesson 1 - Review of Basic Operations

This lesson reviews the basic operations and some associated ideas, setting the stage for learning about fractions, the first main topic of the course. Additional lesson topics: Introduction to Negative Numbers 18 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 - Review of Basic Operations
Assessment: Lesson 1 Exercises

Lesson 2 - Fractions I

This lesson provides a foundation for understanding how to add, subtract, multiply, and divide fractions--a topic to which we will turn in the next lesson. 19 Total Points

Lesson 2 Video
Review 5 Practice Worksheets
Assessment: Lesson 2 – Fractions I
Assessment: Lesson 2 Exercises

Lesson 3 - Fractions II

In this lesson, we apply our fundamental understanding of fractions from the previous lesson to the basic arithmetic operations. 18 Total Points

Lesson 3 Video
Review 5 Practice Worksheets
Assessment: Lesson 3 – Fractions II
Assessment: Lesson 3 Exercises

Lesson 4 - Decimals, Percents, and Ratios

In the previous two lessons, we discussed fractions at length. As you have probably noticed, however, most basic calculators (as well as many more-advanced calculators) do not deal with fractions. 20 Total Points

Lesson 4 Video
Review 5 Practice Worksheets
Assessment: Lesson 4 – Decimals, Percents, and Ratios
Assessment: Lesson 4 Exercises

Lesson 5 - Exponents I

In this lesson, we introduce exponents, which are a way to represent repeated multiplication (just as multiplication is a way to represent repeated addition). Additional lesson topics: The Law of Exponents 18 Total Points

Lesson 5 Video
Review 5 Practice Worksheets
Assessment: Lesson 5 – Exponents I
Assessment: Lesson 5 Exercises

Lesson 6 - Exponents II

Specifically, this lesson considers rules for multiplying and dividing expressions with exponents, and it also explores the meaning of negative exponents. 19 Total Points

Lesson 6 Video
Review 5 Practice Worksheets
Assessment: Lesson 6 – Exponents II
Assessment: Lesson 6 Exercises

Lesson 7 - Radicals I

By the end of this lesson, you should be able to handle numbers raised to any exponent, and you will also be equipped to study arithmetic operations on radical expressions in the next lesson. 18 Total Points

Lesson 7 Video
Review 5 Practice Worksheets
Assessment: Lesson 7 – Radicals I
Assessment: Lesson 7 Exercises

Lesson 8 - Radicals II

The mathematical tools we study in this lesson allow us to at least partially evaluate radical expressions without losing exactness in the result (unlike what would happen if we simply used a calculator). Additional lesson topics: Operations With Radicals 16 Total Points

Lesson 8 Video
Review 5 Practice Worksheets
Assessment: Lesson 8 – Radicals II
Assessment: Lesson 8 Exercises

Lesson 9 - Variables and Algebraic Relations

This lesson focuses mainly on the concepts associated with these topics and lays a foundation for studying in later lessons how to graph relations and solve simple equations. 14 Total Points

Lesson 9 Video
Review 5 Practice Worksheets
Assessment: Lesson 9 Variables and Algebraic Relations
Assessment: Lesson 9 Exercises

Lesson 10 - Graphing Algebraic Relations

In this lesson, we learn how to graph simple and moderately complicated algebraic relations. 10 Total Points

Lesson 10 Video
Review 5 Practice Worksheets
Assessment: Lesson 10 – Graphing Algebraic Relations

Lesson 11 - Solving Linear Equations

In this lesson, we learn how to manipulate equations by performing operations on both sides of the equation 14 Total Points

Lesson 11 Video
Review 5 Practice Worksheets
Assessment: Lesson 11 Solving Linear Equations
Assessment: Lesson 11 Exercises

Lesson 12 - Geometry I: Rectangles and Triangles

In this lesson, we take what we have learned about numbers, operations, and variables and apply it to simple geometry. 13 Total Points

Lesson 12 Video
Review 5 Practice Worksheets
Assessment: Lesson 12 – Geometry I: Rectangles and Triangles
Assessment: Lesson 12 Exercises

Lesson 13 - Geometry II

In this lesson, we apply our basic algebra skills to the properties of circles. We look at the circumference and area of a circle, and we introduce the number pi (π) Additional lesson topics: Area of a Circle 14 Total Points

Lesson 13 Video
Review 4 Practice Worksheets
Assessment: Lesson 13 – Geometry II
Assessment: Lesson 13 Exercises

Lesson 14 - Introduction to Probability

In this lesson, we take some of the principles we have learned in previous lessons and apply them to some simple concepts and problems in probability. 15 Total Points

Lesson 14 Video
Review 5 Practice Worksheets
Assessment: Lesson 14 Introduction to Probability
Assessment: Lesson 14 Exercises

Lesson 15 - Introduction to Statistics

The final lesson of this course looks at statistics, which is a subject that is closely related to probability. 235 Total Points

Lesson 15 Video
Review 5 Practice Worksheets
Lesson discussions: End of Course Poll; Program Evaluation Follow-up Survey (End of Course); Course Comments
Assessment: Lesson 15 Introduction to Statistics
Assessment: The Final Exam
Assessment: Lesson 15 Exercises

461

Total Course Points

Learning Outcomes

By successfully completing this course, students will be able to:

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.
Summarize variables and algebraic relations.
Graph algebraic relations.
Solve linear equations.
Solve problems involving basic geometry, rectangles and triangles.
Solve probability and statistics problems.
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: Pre-Algebra 101

Course Number: 9770449

Lessons Rating: 4.2 / 5 Stars (3,090 votes)

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

Category:

UniversalClass.com > Mathematics > Foundational Math Skills

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

Last Updated: February 2024

Course Type: Self-Paced, Online Class

CEU Value: 1.4 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

Course Author: Dr. Jeffrey Clark, Ph.D.

Instructor: April Cordry-Moore

Syllabus: View Syllabus

Course Fee: $120.00 U.S. dollars

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Student Testimonials

"Excellent Course. The instructor made this an enjoyable online experience and the lesson topics and layout will help me become a better math teacher." -- Annette K.
"I really appreciated how April went above and beyond. In one test, I was completely baffled by a question but I had guessed the correct answer, so I didn't receive the explanatory text as one does for incorrect responses. I emailed April with the details of the question that I recalled and asked for her help in understanding it. She tracked down the question and helped me understand the correct response. Many instructors will help you understand questions you get wrong, but April helps to make sure that you understand the questions that you get right too - so that in the future your correct response is not an accident!" -- Rachel B.
"The instructor followed my test and exercise results very promptly. I didn't think she would be available on weekends." -- Harry T.
"The instructor graded all of my exams quickly and provided prompt responses to my questions." -- John A.
"The instructor was very timely with the results and feedback of my exam." -- Serena V.
"Very helpful and quick to reply to my emails." -- Frieda F.
"My teacher did a great work." -- Sunghee M.
"What I liked most were the tests and assignments. It evaluates my knowledge." -- 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." -- 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." -- Debbie E.