Algebra for College Students (9th Edition)

Cover
Title Page
Copyright Page
Contents
Preface
Acknowledgments
Dedication
Study Skill S-1
	Study Skill 1
	Study Skill 2
	Study Skill 3
	Study Skill 4
	Study Skill 5
	Study Skill 6
	Study Skill 7
	Study Skill 8
	Study Skill 9
	Study Skill 10
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 and Inequalities
	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 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 Additional Graphs of Functions and Relations
	9.1 Review of Operations and Composition
	9.2 Graphs of Quadratic Functions
	9.3 More about Parabolas and Their Applications
	9.4 Symmetry; Increasing and Decreasing Functions
	9.5 Piecewise Linear Functions
	Chapter 9 Summary
	Chapter 9 Review Exercises
	Chapter 9 Mixed Review Exercises
	Chapter 9 Test
	Chapters R–9 Cumulative Review Exercises
10 Inverse, Exponential, and Logarithmic Functions
	10.1 Inverse Functions
	10.2 Exponential Functions
	10.3 Logarithmic Functions
	10.4 Properties of Logarithms
	10.5 Common and Natural Logarithms
	10.6 Exponential and Logarithmic Equations; Further Applications
	Chapter 10 Summary
	Chapter 10 Review Exercises
	Chapter 10 Mixed Review Exercises
	Chapter 10 Test
	Chapters R–10 Cumulative Review Exercises
11 Polynomial and Rational Functions
	11.1 Zeros of Polynomial Functions (I)
	11.2 Zeros of Polynomial Functions (II)
	11.3 Graphs and Applications of Polynomial Functions
	SUMMARY EXERCISES Examining Polynomial Functions and Graphs
	11.4  Graphs and Applications of Rational Functions
	Chapter 11 Summary
	Chapter 11 Review Exercises
	Chapter 11 Mixed Review Exercises
	Chapter 11 Test
	Chapters R–11 Cumulative Review Exercises
12 Conic Sections and Nonlinear Systems
	12.1 Circles Revisited and Ellipses
	12.2 Hyperbolas and Functions Defined by Radicals
	12.3 Nonlinear Systems of Equations
	12.4 Second-Degree Inequalities, Systems of Inequalities, and Linear Programming
	Chapter 12 Summary
	Chapter 12 Review Exercises
	Chapter 12 Mixed Review Exercises
	Chapter 12 Test
	Chapters R–12 Cumulative Review Exercises
13 Further Topics in Algebra
	13.1 Sequences and Series
	13.2 Arithmetic Sequences
	13.3 Geometric Sequences
	13.4 The Binomial Theorem
	13.5 Mathematical Induction
	13.6 Counting Theory
	13.7 Basics of Probability
	Chapter 13 Summary
	Chapter 13 Review Exercises
	Chapter 13 Mixed Review Exercises
	Chapter 13 Test
	Chapters R–13 Cumulative Review Exercises
Appendix A Solving Systems of Linear Equations by Matrix Methods
Appendix B Determinants and Cramer’s Rule
Appendix C Properties of Matrices
Appendix D Matrix Inverses
Answers to Selected Exercises
Photo Credits
	Study Skills
	Chapter R
	Chapter 1
	Chapter 2
	Chapter 3
	Chapter 4
	Chapter 5
	Chapter 6
	Chapter 7
	Chapter 8
	Chapter 9
	Chapter 10
	Chapter 11
	Chapter 12
	Chapter 13
	Appendix C
	Appendix D
Index
	A
	B
	C
	D
	E
	F
	G
	H
	I
	J
	L
	M
	N
	O
	P
	Q
	R
	S
	T
	U
	V
	W
	X
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