Preface 

xi  
To the Student 

xvii  
About the Author 

xix  
Applications Index 

xxv  


3  (98) 


4  (10) 


14  (11) 


25  (10) 


35  (12) 


47  (8) 

Subtraction of Real Numbers 


55  (8) 

Multiplication and Division of Real Numbers 


63  (12) 

Exponents, Order of Operations, and Mathematical Models 


75  (26) 


80  (10) 


90  (4) 


94  (3) 


97  (4) 

Linear Equations and Inequalities in one variable 


101  (84) 

The Addition Property of Equality 


102  (8) 

The Multiplication Property of Equality 


110  (8) 


118  (8) 


126  (9) 

An Introduction to Problem Solving 


135  (12) 

Problem Solving in Geometry 


147  (12) 

Solving Linear Inequalities 


159  (26) 


172  (1) 


173  (5) 


178  (3) 


181  (1) 

Cumulative Review Exercises (Chapters 12) 


182  (3) 

Linear Equations in Two Variables 


185  (60) 

Graphing Linear Equations 


186  (12) 

Graphing Linear Equations Using Intercepts 


198  (10) 


208  (9) 

The SlopeIntercept Form of the Equation of a Line 


217  (8) 

The PointSlope Form of the Equation of a Line 


225  (20) 


235  (1) 


236  (3) 


239  (3) 


242  (1) 

Cumulative Review Exercises (Chapters 13) 


243  (2) 

Systems of Linear Equations 


245  (50) 

Solving Systems of Linear Equations by Graphing 


246  (9) 

Solving Systems of Linear Equations by the Substitution Method 


255  (7) 

Solving Systems of Linear Equations by the Addition Method 


262  (9) 

Problem Solving Using Systems of Equations 


271  (24) 


286  (1) 


287  (2) 


289  (2) 


291  (1) 

Cumulative Review Exercises (Chapters 14) 


292  (3) 

Exponents and Polynomials 


295  (78) 

Adding and Substracting Polynomials 


296  (8) 


304  (11) 


315  (9) 

Polynomials in Several Variables 


324  (8) 


332  (8) 

Dividing Polynomials by Binomials; Synthetic Division 


340  (11) 

Negative Exponents and Scientific Notation 


351  (22) 


3363  


364  (3) 


367  (3) 


370  (1) 

Cumulative Review Exercises (Chapters 15) 


370  (3) 


373  (58) 

The Greatest Common Factor and Factoring by Grouping 


374  (8) 

Factoring Trinomials Whose Leading Coefficient Is One 


382  (7) 

Factoring Trinomials Whose Leading Coefficient Is Not One 


389  (7) 


396  (7) 

A General Factoring Strategy 


403  (8) 

Solving Quadratic Equations by Factoring 


411  (20) 


423  (1) 


424  (2) 


426  (2) 


428  (1) 

Cumulative Review Exercises (Chapters 16) 


428  (3) 


431  (86) 

Rational Expressions and Their Simplification 


432  (9) 

Multiplying and Dividing Rational Expressions 


441  (7) 

Adding and Subtracting Rational Expressions with the Same Denominators 


448  (8) 

Adding and Substracting Rational Expressions with Different Denominators 


456  (11) 

Complex Rational Expressions 


467  (7) 

Solving Rational Equations 


474  (10) 

Applications Using Rational Equations and Proportions 


484  (11) 


495  (22) 


505  (1) 


506  (5) 


511  (3) 


514  (1) 

Cumulative Review Exercises (Chapters 17) 


515  (2) 

Functions; More on Systems of Linear Equations 


517  (70) 

Introduction to Functions 


518  (12) 


530  (11) 

Systems of Linear Equations in Three Variables 


541  (11) 

Matrix Solutions to Systems of Linear Equations 


552  (22) 

Determinants and Cramer's Rule 


574  (13) 


575  (5) 


580  (3) 


583  (1) 

Cumulative Review Exercises (Chapters 18) 


584  (3) 

Inequalities and Problem Solving 


587  (110) 

Interval Notation and Business Applications Using Linear Inequalities 


588  (12) 


600  (8) 

Equations and Inequalities Involving Absolute Value 


608  (8) 

Linear Inequalities in Two Variables 


616  (9) 


625  (72) 


634  (1) 


635  (3) 


638  (2) 


640  (1) 

Cumulative Review Exercises (Chapters 19) 


641  (56) 

Radicals, Radical Functions, and Rational Exponents 


697  (62) 

Radical Expressions and Functions 


644  (12) 


656  (11) 

Multiplying and Simplifying Radical Expressions 


667  (8) 

Adding, Subtracting, and Dividing Radical Expressions 


675  (7) 

Multiplying with More Than One Term and Rationalizing Denominators 


682  (12) 


694  (9) 


703  (56) 

Chapter 10 Group Projects 


712  (1) 


713  (3) 


716  (2) 


718  (1) 

Cumulative Review Exercises (Chapters 110) 


719  (40) 

Quadratic Equations and Functions 


759  (36) 

The Square Root Property and Completing the Square 


722  (14) 


736  (15) 

Quadratic Functions and Their Graphs 


751  (15) 

Equations Quadratic in Form 


766  (8) 

Quadratic and Rational Inequalities 


774  (21) 

Chapter 11 Group Projects 


785  (2) 


787  (3) 


790  (2) 


792  (1) 

Cumulative Review Exercises (Chapters 111) 


793  (2) 

Exponential and Logarithmic Functions 


795  (82) 


796  (12) 

Composite and Inverse Functions 


808  (13) 


821  (11) 


832  (10) 

Exponential and Logarithmic Equations 


842  (12) 

Exponential Growth and Decay; Modeling Data 


854  (23) 

Chapter 12 Group Projects 


865  (1) 


866  (4) 


870  (4) 


874  (1) 

Cumulative Review Exercises (Chapters 112) 


875  (2) 

Conic Sections and Systems of Nonlinear Equations 


877  (62) 

Distance and Midpoint Formulas; Circles 


878  (9) 


887  (11) 


898  (10) 

The Parabola; Identifying Conic Sections 


908  (13) 

Systems of Nonlinear Equations in Two Variables 


921  (18) 

Chapter 13 Group Projects 


931  (1) 


932  (2) 


934  (2) 


936  (1) 

Cumulative Review Exercises (Chapters 113) 


937  (2) 

Sequences, Induction, and Probability 


939  

Sequences and Summation Notation 


940  (9) 


949  (9) 

Geometric Sequences and Series 


958  (15) 


973  (8) 

Counting Principles, Permutations, and Combinations 


981  (11) 


992  (25) 

Chapter 14 Group Projects 


1005  (1) 


1006  (4) 


1010  (2) 


1012  (1) 

Cumulative Review Exercises (Covering the Entire Book) 


1013  (4) 
Appendices 


A: Are You Prepared for Intermediate Algebra? 


1017  (3) 

B: Where Did That Come From? Selected Proofs 


1020  
Answers to Selected Exercises 

A1  
Subject Index 

I1  
Photo Credits 

P1  