Preface 

ix  
To the Student 

xvii  
About The Author 

xix  
Applications Index 

xxv  

Algebra, Mathematical Models, and Problem solving 


3  (88) 

Algebraic Expressions and Real Numbers 


4  (10) 

Operations with Real Numbers and Simplifying Algebraic Expressions 


14  (15) 


29  (10) 


39  (11) 

Problem Solving and Using Formulas 


50  (14) 

Problems of Integral Exponents 


64  (11) 


75  (16) 


81  (1) 


82  (5) 


87  (2) 


89  (2) 

Functions and Linear Functions 


91  (62) 

Introduction to Functions 


92  (13) 


105  (10) 

Linear Functions and Slope 


115  (15) 

The PointSlope Form of the Equation of a Line 


130  (23) 


142  (1) 


143  (4) 


147  (2) 


149  (1) 

Cumulative Review Exercises (Chapters 12) 


150  (3) 

Systems of Linear Equations 


153  (76) 

Systems of Linear Equations in Two Variables 


154  (15) 

Problem Solving and Business Applications Using Systems of Equations 


169  (14) 

Systems of Linear Equations in Three Variables 


183  (11) 

Matrix Solutions to Linear Systems 


194  (12) 

Determinants and Cramer's Rule 


206  (23) 


217  (1) 


218  (5) 


223  (2) 


225  (1) 

Cumulative Review Exercises (Chapters 13) 


226  (3) 

Inequalities and Problem Solving 


229  (56) 

Solving Linear Inequalities 


230  (13) 


243  (8) 

Equations and Inequalities Involving Absolute Value 


251  (8) 

Linear Inequalities in Two Variables 


259  (9) 


268  (17) 


277  (1) 


278  (3) 


281  (1) 


282  (1) 

Cumulative Review Exercises (Chapters 14) 


283  (2) 

Polynomials, Polynomial Functions, and Factoring 


285  (84) 

Introduction to Polynomials and Polynomial Functions 


286  (13) 

Multiplication of Polynomials 


299  (12) 

Greatest Common Factors and Factoring by Grouping 


311  (8) 


319  (13) 


332  (8) 

A General Factoring Strategy 


340  (6) 

Polynomial Equations and Their Applications 


346  (23) 


359  (1) 


360  (4) 


364  (2) 


366  (1) 

Cumulative Review Exercises (Chapters 15) 


367  (2) 

Rational Expressions, Functions, and Equations 


369  (94) 

Rational Expressions and Functions: Multiplying and Dividing 


370  (14) 

Adding and Subtracting Rational Expressions 


384  (12) 

Complex Rational Expressions 


396  (7) 


403  (8) 

Synthetic Division and the Remainder Theorem 


411  (7) 


418  (9) 

Formulas and Applications of Rational Equations 


427  (12) 


439  (24) 


451  (1) 


452  (4) 


456  (3) 


459  (1) 

Cumulative Review Exercises (Chapters 16) 


460  (3) 

Radicals, Radical Functions, and Rational Exponents 


463  (78) 

Radical Expressions and Functions 


464  (12) 


476  (11) 

Multiplying and Simplifying Radical Expressions 


487  (8) 

Adding, Subtracting, and Dividing Radical Expressions 


495  (7) 

Multiplying With More Than One Term and Rationalizing Denominators 


502  (12) 


514  (9) 


523  (18) 


532  (1) 


533  (3) 


536  (2) 


538  (1) 

Cumulative Review Exercises (Chapters 17) 


539  (2) 

Quadratic Equations and Functions 


541  (74) 

The Square Root Property and Completing the Square 


542  (14) 


556  (15) 

Quadratic Functions and Their Graphs 


571  (15) 

Equations Quadratic in Form 


586  (8) 

Quadratic and Rational Inequalities 


594  (21) 


605  (2) 


607  (3) 


610  (2) 


612  (1) 

Cumulative Review Exercises (Chapters 18) 


613  (2) 

Exponential and Logarithmic Functions 


615  (82) 


616  (12) 

Composite and Inverse Functions 


628  (13) 


641  (11) 


652  (10) 

Exponential and Logarithmic Equations 


662  (12) 

Exponential Growth and Decay; Modeling Data 


674  (23) 


685  (1) 


686  (4) 


690  (4) 


694  (1) 

Cumulative Review Exercises (Chapters 19) 


695  (2) 

Conic Sections and Nonlinear Systems of Equations 


697  (62) 

Distance and Midpoint Formulas: Circles 


698  (9) 


707  (11) 


718  (10) 

The Parabola; Identifying Conic Sections 


728  (13) 

Systems of Nonlinear Equations in Two Variables 


741  (18) 

Chapter 10 Group Projects 


771  


752  (2) 


754  (2) 


756  (1) 

Cumulative Review Exercises (Chapters 110) 


757  (2) 

More on Polynomial and Rational Functions 


759  (46) 

Polynomial Functions and Their Graphs 


760  (11) 

Zeros of Polynomial Functions 


771  (12) 

Rational Functions and Their Graphs 


783  (22) 

Chapter 11 Group Projects 


797  (1) 


798  (2) 


800  (2) 


802  (1) 

Cumulative Review Exercises (Chapters 111) 


802  (3) 

Sequences, Induction and Probability 


805  (1) 

Sequences and Summation Notation 


806  (9) 


815  (9) 

Geometric Sequences and Series 


824  (15) 


839  (7) 


846  (9) 

Counting Principles, Permutations, and Combinations 


855  (11) 


866  (13) 

Chapter 12 Group Projects 


879  (1) 


880  (4) 


884  (3) 


887  (1) 

Cumulative Review Exercises (Covering the Entire Book) 


888  
Appendix 

A1  
Answers to Selected Exercises 

AA1  
Subject Index 

I1  
Photo Credits 

P1  