Free course series · 9 chapters

Prealgebra

Prealgebra builds the foundation for making informed decisions with numbers in everyday life. Fractions, decimals, ratios, and percentages help you compare prices, discounts, taxes, and unit costs, while equations help solve problems involving speed, time, and distance. Measurement, area and volume, graphs, and trigonometry connect math to shopping, travel planning, temperature conversion, and construction.

This book is an adaptation of Izabela Mazur’s Introductory Algebra (2021), based on OpenStax content. The source work is licensed under CC BY 4.0.

Original work · CC BY 4.0

Course chapters

Each chapter contains the complete English source material. Follow the chapters in sequence or jump directly to the topic you need.

Whole Numbers, Integers, and an Introduction to Algebra

Whole numbers, algebraic language, expressions, and operations with integers.

6 lessonsstart → 02

Operations with Rational Numbers and Real Numbers

Fractions, decimals, and the fundamental properties of real numbers.

6 lessonsstart → 03

Measurement, Perimeter, Area, and Volume

Systems of measurement, plane figures, area, surface area, and volume.

5 lessonsstart → 04

Ratio, Proportion, and Percent

Ratios, rates, proportions, percent concepts, and percent applications.

5 lessonsstart → 05

First Degree Equations in One Variable

Linear equations, formulas, and problem-solving strategies.

9 lessonsstart → 06

Linear Equations and Graphing

The coordinate system, equations in two variables, slope, and equations of lines.

7 lessonsstart → 07

Powers, Roots, and Scientific Notation

Exponent rules, scientific notation, and operations with square roots.

6 lessonsstart → 08

Polynomials

Polynomial operations, special products, and factoring.

7 lessonsstart → 09

Trigonometry

Angles, triangles, the Pythagorean theorem, and fundamental trigonometric ratios.

3 lessonsstart →

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Disclaimer

These lessons are provided for general educational purposes. They are not guaranteed to be error-free, to satisfy every requirement of a particular examination or curriculum, or to be sufficient on their own for an individual learner’s needs. Official sources and teacher guidance should also be considered when making important academic decisions.