College Algebra and Trigonometry

This textbook is based on Intermediate Algebra, OpenStax, 2e, by the Senior Contributing Authors:

  • Lynn Marecek, Santa Ana College
  • Andrea Honeycutt Mathis, Northeast Mississippi Community College

with customized changes by

  • Holly Carley, New York City College of Technology
  • Ariane Masuda, New York City College of Technology

made on the LibreTexts platform. The work is in progress.

1. Linear Expressions and Equations
1.1 Graph Linear Equations with Two Variables
1.2 Slope of a Line with Applications
1.3 Find the Equation of a Line
2. Systems of Linear Equations
2.1 Solve Systems of Linear Equations with Two Variables
2.2 Solve Applications with Systems of Equations
2.3 Solve Mixture Applications with Systems of Equations
2.4 Solve Systems of Equations with Three Variables with Applications
2.5 Solve Systems of Equations Using Determinants
3. Polynomials and Integer Exponents
3.1 Polynomials Review with Applications
3.2 Properties of Integer Exponents
4. Factoring
4.1 Greatest Common Factor and Factor by Grouping
4.2 Factor Trinomials
4.3 Factor Special Products
4.4 General Strategy for Factoring Polynomials
4.5 Polynomial Equations with Applications
5. Rational Expressions
5.1 Multiply and Divide Rational Expressions
5.2 Add and Subtract Rational Expressions
5.3 Simplify Complex Rational Expressions
5.4 Solve Rational Equations
5.5 Solve Applications with Rational Equations
5.6 Solve Rational Inequalities
6. Roots and Radicals
6.1 Simplify Expressions with Square Roots
6.2 Simplify Radical Expressions
6.3 Simplify Rational Exponents
6.4 Add, Subtract, and Multiply Radical Expressions
6.5 Divide Radical Expressions
6.6 Solve Radical Equations with Applications
6.7 Complex Numbers
7. Quadratic Equations
7.1 Solve Quadratic Equations Using the Square Root Property
7.2 Solve Quadratic Equations by Completing the Square
7.3 Solve Quadratic Equations Using the Quadratic Formula
7.4 Solve Applications of Quadratic Equations
7.5 Graph Quadratic Equations Using Properties and Applications
7.6 Graph Quadratic Equations Using Transformations
8. Conics
8.1 More Parabolas with Applications
8.2 Distance and Midpoint Formulas and Circles
8.3 Solving Systems of Nonlinear Equations and Applications
9. Exponential and Logarithmic Expressions and Equations
9.1 Evaluate Exponential Expressions and Graph Basic Exponential Equations with Applications
9.2 Evaluate Logarithms and Graph Basic Logarithmic Equations with Applications
9.3 Use the Properties of Logarithms
9.4 Solve Exponential and Logarithmic Equations with Applications

The Trigonometry chapters will be posted later.