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Description   |   Table of Contents

Author:
Rafael Espericueta, Bakersfield College

TABLE OF CONTENTS

Chapter 1: Linear Equations and Inequalities
    Section 1 Solving Linear Equations
    Section 2 Formulas
    Section 3 Sets, Interval Notation, and Linear Inequalities
    Section 4 Compound Linear Inequalities
    Section 5 Equations and Inequalities involving Absolute Value

Chapter 2: Functions and Graphs
    Section 1 Relations and Graphs
    Section 2 Functions and Graphs
    Section 3 Linear Functions and Their Graphs
    Section 4 Equations of Lines
    Section 5 Linear Inequalities

Chapter 3: Systems of Linear Equations
    Section 1 Substitution and Elimination
    Section 2 Applications of Linear Systems in Two Variables
    Section 3 Cramer's Rule
    Section 3B Gaussian Elimination (optional Section)
    Section 4 Applications of Linear Systems in Three Variables--Cramer's Rule
    Section 4B Applications of Linear Systems in Three Variables--Gaussian Elimination (optional Section)
    Section 5 Systems of Linear Inequalities

Chapter 4: Polynomials
    Section 1 Adding and Subtracting Polynomials
    Section 2 Multiplying Polynomials
    Section 3 Factoring Polynomials
    Section 4 Dividing Polynomials
    Section 5 Polynomial Equations

Chapter 5: Rational Expressions
    Section 1 Multiplying and Dividing Rational Expressions
    Section 2 Adding and Subtracting Rational Expressions
    Section 3 Complex Rational Expressions
    Section 4 Rational Equations
    Section 5 Formulas and Applications
    Section 6 Variation

Chapter 6: Radical Expressions
    Section 1 Introduction to Radical Expressions
    Section 2 Radicals and Rational Exponents
    Section 3 Simplifying, Multiplying, and Dividing Radical Expressions
    Section 4 Adding and Subtracting Radical Expressions
    Section 5 Solving Radical Equations
    Section 6 The Complex Numbers

Chapter 7: Quadratic Equations and Inequalities
    Section 1 Quadratic Equations
    Section 2 The Quadratic Formula
    Section 3 Graphing Quadratic Functions
    Section 4 Applications of Quadratic Equations
    Section 5 Polynomial and Rational Inequalities

Chapter 8: Exponentials and Logarithms
    Section 1 Inverse Functions
    Section 2 Exponential Functions
    Section 3 Logarithmic Functions
    Section 4 Properties of Logarithms
    Section 5 Exponential and Logarithmic Equations
    Section 6 Applications of Exponentials and Logarithms

Chapter 9: The Conic Sections
    Section 1 Parabolas
    Section 2 Circles
    Section 3 Ellipses
    Section 4 Hyperbolas
    Section 5 Systems of Nonlinear Equations

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