Index of Applications 

v  
Index of Focus on RealData Applications 

ix  
Preface 

xi  
Feature WalkThrough 

xvii  
An Introduction to Calculators 

xxi  
To the Student 

xxvii  
Diagnostic Pretest 

xxix  

Review of the Real Number System 


1  (52) 


2  (13) 

Operations on Real Numbers 


15  (10) 

Exponents, Roots, and Order of Operations 


25  (10) 

Properties of Real Numbers 


35  (18) 


43  (4) 


47  (4) 


51  (2) 

Linear Equations and Applications 


53  (60) 

Linear Equations in One Variable 


54  (11) 


65  (12) 

Applications of Linear Equations 


77  (14) 

Further Applications of Linear Equations 


91  (22) 

Summary Exercises on Solving Applied Problems 


99  (2) 


101  (4) 


105  (4) 


109  (2) 

Cumulative Review Exercises 


111  (2) 

Linear Inequalities and Absolute Value 


113  (52) 

Linear Inequalities in One Variable 


114  (15) 

Set Operations and Compound Inequalities 


129  (10) 

Absolute Value Equations and Inequalities 


139  (26) 

Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities 


151  (2) 


153  (4) 


157  (4) 


161  (2) 

Cumulative Review Exercises 


163  (2) 

Graphs, Linear Equations, and Functions 


165  (86) 

The Rectangular Coordinate System 


166  (11) 


177  (14) 

Linear Equations in Two Variables 


191  (14) 

Linear Inequalities in Two Variables 


205  (8) 

Introduction to Functions 


213  (16) 


229  (22) 


239  (4) 


243  (4) 


247  (2) 

Cumulative Review Exercises 


249  (2) 

Systems of Linear Equations 


251  (60) 

Systems of Linear Equations in Two Variables 


252  (15) 

Systems of Linear Equations in Three Variables 


267  (10) 

Applications of Systems of Linear Equations 


277  (14) 

Solving Systems of Linear Equations by Matrix Methods 


291  (20) 


299  (4) 


303  (4) 


307  (2) 

Cumulative Review Exercises 


309  (2) 

Exponents, Polynomials, and Polynomial Functions 


311  (60) 

Integer Exponents and Scientific Notation 


312  (17) 

Adding and Subtracting Polynomials 


329  (6) 


335  (8) 


343  (10) 


353  (18) 


359  (4) 


363  (4) 


367  (2) 

Cumulative Review Exercises 


369  (2) 


371  (42) 

Greatest Common Factors; Factoring by Grouping 


372  (7) 


379  (8) 


387  (8) 

Summary Exercises on Factoring 


393  (2) 

Solving Equations by Factoring 


395  (18) 


405  (2) 


407  (2) 


409  (2) 

Cumulative Review Exercises 


411  (2) 

Rational Expressions and Functions 


413  (66) 

Rational Expressions and Functions: Multiplying and Dividing 


414  (11) 

Adding and Subtracting Rational Expressions 


425  (10) 


435  (6) 

Equations with Rational Expressions and Graphs 


441  (10) 

Summary Exercises on Rational Expressions and Equations 


449  (2) 

Applications of Rational Expressions 


451  (28) 


465  (4) 


469  (4) 


473  (2) 

Cumulative Review Exercises 


475  (4) 

Roots, Radicals, and Root Functions 


479  (78) 

Radical Expressions and Graphs 


480  (9) 


489  (10) 

Simplifying Radical Expressions 


499  (12) 

Adding and Subtracting Radical Expressions 


511  (4) 

Multiplying and Dividing Radical Expressions 


515  (12) 

Summary Exercises on Operations with Radicals and Rational Exponents 


525  (2) 

Solving Equations with Radicals 


527  (8) 


535  (22) 


545  (4) 


549  (4) 


553  (2) 

Cumulative Review Exercises 


555  (2) 

Quadratic Equations, Inequalities, and Functions 


557  (94) 

The Square Root Property and Completing the Square 


558  (11) 


569  (8) 

Equations Quadratic in Form 


577  (14) 

Summary Exercises on Solving Quadratic Equations 


589  (2) 

Formulas and Further Applications 


591  (8) 

Graphs of Quadratic Functions 


599  (12) 

More About Parabolas; Applications 


611  (12) 

Quadratic and Rational Inequalities 


623  (28) 


633  (4) 


637  (6) 


643  (4) 

Cumulative Review Exercises 


647  (4) 

Exponential and Logarithmic Functions 


651  (70) 


652  (9) 


661  (8) 


669  (10) 


679  (8) 

Common and Natural Logarithms 


687  (8) 

Exponential and Logarithmic Equations; Further Applications 


695  (26) 


707  (4) 


711  (4) 


715  (2) 

Cumulative Review Exercises 


717  (4) 

Nonlinear Functions, Conic Sections, and Nonlinear Systems 


721  (66) 

Additional Graphs of Functions; Composition 


722  (11) 

The Circle and the Ellipse 


733  (10) 

The Hyperbola, and Other Functions Defined by Radicals 


743  (10) 

Nonlinear Systems of Equations 


753  (10) 

SecondDegree Inequalities and Systems of Inequalities 


763  (24) 


771  (4) 


775  (4) 


779  (4) 

Cumulative Review Exercises 


783  (4) 
Appendix A Strategies for Problem Solving 

787  (14) 
Appendix B Review of Fractions 

801  (12) 
Appendix C Determinants and Cramer's Rule 

813  (10) 
Appendix D Synthetic Division 

823  
Answers to Selected Exercises 

1  (1) 
Index 

1  