Students: Purchase Course
isbn
FOR INSTRUCTORS:


Full Course Preview  |  

Description   |   Table of Contents

Author:
Rafael Espericueta, Bakersfield College

TABLE OF CONTENTS

Chapter 1: Introduction to Algebra
    Section 1 The Basic Idea of Algebra
    Section 2 Number Puzzles

Chapter 2: Types of Numbers and Their Behavior
    Section 1 Kinds of Numbers
    Section 2 Behavior of Numbers and Variables
    Section 3 Adding and Subtracting Signed Numbers and Variables
    Section 4 Multiplying and Dividing Signed Numbers and Variables
    Section 5 Operations with Fractions and Variables
    Section 6 Squares, Square Roots, and Absolute Value
    Section 7 Order of Operations

Chapter 3: Algebraic Expressions
    Section 1 Monomials
    Section 2 Basic Rules for Exponents
    Section 3 Additional Rules for Exponents
    Section 4 From Words to Algebraic Expressions
    Section 5 Evaluating Expressions
    Section 6 Polynomials

Chapter 4: Basic Operations with Polynomials
    Section 1 The Distributive Property
    Section 2 Multiplying Binomials
    Section 3 Squaring Binomials
    Section 4 Adding and Subtracting Polynomials
    Section 5 Dividing Polynomials

Chapter 5: Formulas and Applications
    Section 1 Formulas for Perimeter, Area, and Volume
    Section 2 Other Useful Formulas
    Section 3 Ratios, Rates, and Proportions
    Section 4 The Pythagorean Theorem
    Section 5 The Cartesian Coordinate Plane and the Distance Formula

Chapter 6: Solving Linear Equations and Inequalities
    Section 1 Solving Linear Equations by Addition and Subtraction
    Section 2 Solving Linear Equations by Multiplication and Division
    Section 3 Solving General Linear Equations
    Section 4 Applications Involving Linear Equations
    Section 5 Solving Linear Inequalities

Chapter 7: Graphing Linear Equations and Inequalities
    Section 1 Graphing Linear Equations in Two Variables
    Section 2 Slope and the Slope-Intercept Form
    Section 3 Point-Slope Form
    Section 4 Relations and Functions
    Section 5 Graphing Linear Inequalities in Two Variables

Chapter 8: Systems of Linear Equations
    Section 1 Solving Systems of Linear Equations by Graphing
    Section 2 Solving Systems of Linear Equations by Substitution
    Section 3 Solving Systems of Linear Equations by Elimination
    Section 4 Applications of Linear Systems
    Section 5 Systems of Linear Inequalities

Chapter 9: Factoring Polynomials
    Section 1 Introduction to Factoring Polynomials
    Section 2 Special Quadratic Factorizations
    Section 3 Factoring Quadratics with Integer Coefficients
    Section 4 Special Cubic Factorizations
    Section 5 Solving Equations By Factoring

Chapter 10: Rational Expressions
    Section 1 Simplifying Rational Expressions
    Section 2 Multiplying and Dividing Rational Expressions
    Section 3 Adding and Subtracting Rational Expressions
    Section 4 Complex Rational Expressions
    Section 5 Rational Equations
    Section 6 Direct and Inverse Variation

Chapter 11: Radical Expressions
    Section 1 Multiplying and Dividing Radical Expressions
    Section 2 Adding and Subtracting Radical Expressions
    Section 3 Radical Equations
    Section 4 Complex Numbers
    Section 5 Rational Exponents

Chapter 12: Quadratic Equations
    Section 1 The Square Root Property
    Section 2 Completing the Square
    Section 3 The Quadratic Formula
    Section 4 Graphing Quadratic Equations

Back to top