College Algebra

This course provides a comprehensive introduction to the foundations of mathematics typically taught in a traditional college algebra course. This core course develops problem‐solving strategies and establishes a firm foundation for higher levels of mathematics. Students will gain practical knowledge by solving and applying equations to real‐life situations. They will explore a variety of functions and understand how they are used to model complex phenomena (e.g. polynomial, quadratic, rational, exponential, and logarithmic). Data and trends will be summarized and visualized by creating and implementing graphs. Finally, students will feel empowered with the skills to succeed in math, science, business, and programming. This is a three credit‐hour course; satisfactory completion of the course requires passing a midterm and a final exam.


Course Information

Analyze the effect that operations, rules, and properties have on expressions and equations.

Bloom’s level 4

Solve equations and inequalities.

Bloom’s level 3

Analyze the effect of transformations and operations on functions.

Bloom’s level 4

Select and apply the appropriate strategies to determine the slope, y-intercept, coordinates, and equation of a line or system of equations.

Bloom’s level 2

Factor, solve, and graph quadratic equations using multiple strategies for each.

Bloom’s level 3

Select appropriate strategies to solve systems of equations with three variables.

Bloom’s level 1

Compare and apply similar techniques to graph polynomial, rational, and radical functions.

Bloom’s level 4

Combine properties and equation solving strategies to evaluate and graph exponential and logarithmic functions, circles, ellipses, parabolas, and hyperbolas.

Bloom’s level 3

Course Outline

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How Our Syllabus Stacks Up (Syllabus Equivalency)

Syllabi for equivalent courses from four other institutions were reviewed. The following table represents the coverage of rigor in terms of number of assessments and content in a TEL course as it relates to other similar courses.


4 Year Public Research University #1

4 Year Regional Public University #1

4 Year Private Research University

4 Year Regional Public University #2

 Lesson   Quizzes


Module   Quizzes





5 Mastery AssignmentsVariable weekly homework and written assignmentsVariable weekly homework and written assignmentsVariable weekly homework to prepare for quizzesVariable weekly homework to prepare for quizzes



Lesson Features

Each of our lessons is designed as self-contained learning environment that provides all the context, explanation, and resources you need to learn about a specific topic. We give you the information you need in a format that helps you apply it in your daily life.


Knowing why a topic matters and how it applies to your experience is an important part of learning anything. That’s why we make sure you have the proper context for the information we give you.

Video Overview

Every TEL Library lesson features a video overview of the information being presented. Our videos provide helpful text callouts and a downloadable transcript.


We provide two different readings that elaborate information related to the lesson topic. The first gives you essential, objective information while the second offers a deeper look at a specific sub-topic or a view of different perspectives.

Check Your Knowledge

Developing a clear understanding of a topic generally requires that you spend time reflecting on the meaning or impact of its concepts and information. We facilitate this reflection with polls designed to help you create connections to the topic.



It’s easy to get tripped up on unfamiliar terms when you’re trying to learn something new. We’ve developed in-line glossary definitions of key terms to help make lessons easier to read and understand.

Toolbox Resources

We know that our lessons are simply a starting point for many learners. That’s why we provide a toolbox with related web resources for each lesson so that you can continue your learning journey on a specific topic.



For Higher Ed

TEL Education works with its Higher Ed partners to deliver online courses for college credit to high schools at affordable prices and in a variety of models. Contact us to learn how you can get started quickly with a branded collegiate academy program for your students.

For High School

TEL Education courses provide a high-quality, scalable solution for launching collegiate academy programs, enhancing existing dual-credit initiatives, or addressing the need for online general education courses for non-campus students.

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