Algebra Essentials: Tools for Success in Precalculus and Beyond
Our structured approach breaks down fundamental algebra topics and techniques into simple, understandable lessons. Perfect for students, professionals, and lifelong learners.
Close-up of a Person Solving and Equation on a Blackboard by Kaboompics.com is used under the pexels license.
Essential Algebra Topics
Our curriculum covers everything you need to master essential algebra topics that provide a foundation for university-level mathematics courses.
Arithmetic Foundations
- Real numbers
- Basic arithmetic
- Simplifying fractions
- Fraction arithmetic
Exponents and Polynomials
- Integer exponents
- Exponent properties
- Rational exponents and roots
- Polynomial arithmetic
- Factoring polynomials
Rational Expressions
- Dividing polynomials
- Rational expression arithmetic
- Simplifying rational expressions
Solving
Equations
- Linear equations
- Quadratic equations
- Linear inequalities
- Inequalities with quadratic, rational, or absolute value expressions
Each of the 20 lessons includes learning objectives, a 14-25 minute video (although video 15 is a little longer), an interactive activity with practice questions, 1-2 pages of notes on the topics, and a video transcript.
Why Learn Algebra?
Algebra isn’t just about solving for x—it’s about developing a mindset that helps you solve problems in all areas of life.
Improved Problem Solving
Develop critical thinking skills that extend beyond mathematics.
Academic Excellence
Boost your grades and prepare for university-level math courses.
Learn at Your Own Pace
Review concepts as many times as needed until mastery is achieved.
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Land Acknowledgment
Thompson Rivers University (TRU) campuses are situated on the ancestral lands of the Tk’emlúps te Secwépemc and the T’exelc within Secwepemcúl’ecw, the ancestral and unceded territory of the Secwépemc. The rich tapestry of this land also encompasses the territories of the St’át’imc, Nlaka’pamux, Tŝilhqot’in, Nuxalk, and Dakelh. Recognizing the deep histories and ongoing presence of these Indigenous peoples, we express gratitude for the wisdom held by this land. TRU is dedicated to fostering an inclusive and respectful environment, valuing education as a shared journey. TRU Open Press, inspired by collaborative learning on this land, upholds open principles and accessible education, nurturing respectful, reciprocal relationships through the shared exchange of knowledge across generations and communities.
