Table of contents

Table of contents :
Cover
Inside Front Cover
Title Page
Copyright Page
Contents
Preface
Acknowledgments
Dedication
Study Skills
Study Skill 1 Using Your Math Text
Study Skill 2 Reading Your Math Text
Study Skill 3 Taking Lecture Notes
Study Skill 4 Completing Your Homework
Study Skill 5 Using Study Cards
Study Skill 6 Managing Your Time
Study Skill 7 Reviewing a Chapter
Study Skill 8 Taking Math Tests
Study Skill 9 Analyzing Your Test Results
Study Skill 10 Preparing for Your Math Final Exam
R Review of the Real Number System
R.1 Fractions, Decimals, and Percents
R.2 Basic Concepts from Algebra
R.3 Operations on Real Numbers
R.4 Exponents, Roots, and Order of Operations
R.5 Properties of Real Numbers
Chapter R Summary
Chapter R Test
1 Linear Equations, Inequalities, and Applications
1.1 Linear Equations in One Variable
1.2 Formulas and Percent
1.3 Applications of Linear Equations
1.4 Further Applications of Linear Equations
SUMMARY EXERCISES Applying Problem-Solving Techniques
1.5 Linear Inequalities in One Variable
1.6 Set Operations and Compound Inequalities
1.7 Absolute Value Equations and Inequalities
SUMMARY EXERCISES Solving Linear and Absolute Value Equations and Inequalities
Chapter 1 Summary
Chapter 1 Review Exercises
Chapter 1 Mixed Review Exercises
Chapter 1 Test
Chapters R and 1 Cumulative Review Exercises
2 Linear Equations, Graphs, and Functions
2.1 Linear Equations in Two Variables
2.2 The Slope of a Line
2.3 Writing Equations of Lines
SUMMARY EXERCISES Finding Slopes and Equations of Lines
2.4 Linear Inequalities in Two Variables
2.5 Introduction to Relations and Functions
2.6 Function Notation and Linear Functions
Chapter 2 Summary
Chapter 2 Review Exercises
Chapter 2 Mixed Review Exercises
Chapter 2 Test
Chapters R-2 Cumulative Review Exercises
3 Systems of Linear Equations
3.1 Systems of Linear Equations in Two Variables
3.2 Systems of Linear Equations in Three Variables
3.3 Applications of Systems of Linear Equations
Chapter 3 Summary
Chapter 3 Review Exercises
Chapter 3 Mixed Review Exercises
Chapter 3 Test
Chapters R-3 Cumulative Review Exercises
4 Exponents, Polynomials, and Polynomial Functions
4.1 Integer Exponents
4.2 Scientific Notation
4.3 Adding and Subtracting Polynomials
4.4 Polynomial Functions, Graphs, and Composition
4.5 Multiplying Polynomials
4.6 Dividing Polynomials
Chapter 4 Summary
Chapter 4 Review Exercises
Chapter 4 Mixed Review Exercises
Chapter 4 Test
Chapters R-4 Cumulative Review Exercises
5 Factoring
5.1 Greatest Common Factors and Factoring by Grouping
5.2 Factoring Trinomials
5.3 Special Factoring
5.4 A General Approach to Factoring
5.5 Solving Quadratic Equations Using the Zero-Factor Property
Chapter 5 Summary
Chapter 5 Review Exercises
Chapter 5 Mixed Review Exercises
Chapter 5 Test
Chapters R-5 Cumulative Review Exercises
6 Rational Expressions and Functions
6.1 Rational Expressions and Functions; Multiplying and Dividing
6.2 Adding and Subtracting Rational Expressions
6.3 Complex Fractions
6.4 Equations with Rational Expressions and Graphs
SUMMARY EXERCISES Simplifying Rational Expressions vs. Solving Rational Equations
6.5 Applications of Rational Expressions
6.6 Variation
Chapter 6 Summary
Chapter 6 Review Exercises
Chapter 6 Mixed Review Exercises
Chapter 6 Test
Chapters R 6 Cumulative Review Exercises
7 Roots, Radicals, and Root Functions
7.1 Radical Expressions and Graphs
7.2 Rational Exponents
7.3 Simplifying Radicals, the Distance Formula, and Circles
7.4 Adding and Subtracting Radical Expressions
7.5 Multiplying and Dividing Radical Expressions
SUMMARY EXERCISES Performing Operations with Radicals and Rational Exponents
7.6 Solving Equations with Radicals
7.7 Complex Numbers
Chapter 7 Summary
Chapter 7 Review Exercises
Chapter 7 Mixed Review Exercises
Chapter 7 Test
Chapters R 7 Cumulative Review Exercises
8 Quadratic Equations, Inequalities, and Functions
8.1 The Square Root Property and Completing the Square
8.2 The Quadratic Formula
8.3 Equations That Lead to Quadratic Methods
SUMMARY EXERCISES Applying Methods for Solving Quadratic Equations
8.4 Formulas and Further Applications
8.5 Graphs of Quadratic Functions
8.6 More about Parabolas and Their Applications
8.7 Polynomial and Rational Inequalities
Chapter 8 Summary
Chapter 8 Review Exercises
Chapter 8 Mixed Review Exercises
Chapter 8 Test
Chapters R 8 Cumulative Review Exercises
9 Inverse, Exponential, and Logarithmic Functions
9.1 Inverse Functions
9.2 Exponential Functions
9.3 Logarithmic Functions
9.4 Properties of Logarithms
9.5 Common and Natural Logarithms
9.6 Exponential and Logarithmic Equations; Further Applications
Chapter 9 Summary
Chapter 9 Review Exercises
Chapter 9 Mixed Review Exercises
Chapter 9 Test
Chapters R 9 Cumulative Review Exercises
10 Nonlinear Functions, Conic Sections, and Nonlinear Systems
10.1 Additional Graphs of Functions
10.2 Circles Revisited and Ellipses
10.3 Hyperbolas and Functions Defined by Radicals
10.4 Nonlinear Systems of Equations
10.5 Second-Degree Inequalities and Systems of Inequalities
Chapter 10 Summary
Chapter 10 Review Exercises
Chapter 10 Mixed Review Exercises
Chapter 10 Test
Chapters R 10 Cumulative Review Exercises
11 Further Topics in Algebra
11.1 Sequences and Series
11.2 Arithmetic Sequences
11.3 Geometric Sequences
11.4 The Binomial Theorem
Chapter 11 Summary
Chapter 11 Review Exercises
Chapter 11 Mixed Review Exercises
Chapter 11 Test
Chapters R 11 Cumulative Review Exercises
Appendix Synthetic Division
Answers to Selected Exercises
Photo Credits
Index
A
B
C
D
E
F
G
H
I
J
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
Inside Back Cover