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Description
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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
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