Preface 

ix  
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) 


89  (1) 


90  (4) 


94  (3) 


97  (4) 

Linear Equations and Inequalities in One Variable 


101  (68) 

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) 

Solving Linear Inequalities 


147  (22) 


160  (1) 


161  (4) 


165  (1) 


166  (1) 

Cumulative Review Exercises (Chapters 12) 


167  (2) 


169  (42) 


170  (11) 


181  (8) 

Problem Solving in Geometry 


189  (22) 


201  (1) 


202  (3) 


205  (2) 


207  (1) 

Cumulative Review Exercises (Chapters 13) 


208  (3) 

Linear Equations and Inequalities in Two Variables 


211  (64) 

Graphing Linear Equations 


212  (12) 

Graphing Linear Equations Using Intercepts 


224  (10) 


234  (9) 

The SlopeIntercept Form of the Equation of a Line 


243  (8) 

The PointSlope Form of the Equation of a Line 


251  (7) 

Linear Inequalities in Two Variables 


258  (17) 


265  (1) 


266  (3) 


269  (3) 


272  (1) 

Cumulative Review Exercises (Chapters 14) 


273  (2) 

Systems of Linear Equations and Inequalities 


275  (48) 

Solving Systems of Linear Equations by Graphing 


276  (9) 

Solving Systems of Linear Equations by the Substitution Method 


285  (7) 

Solving Systems of Linear Equations by the Addition Method 


292  (8) 

Problem Solving Using Systems of Equations 


300  (11) 

Systems of Linear Inequalities 


311  (12) 


316  (1) 


317  (2) 


319  (1) 


320  (1) 

Cumulative Review Exercises (Chapters 15) 


321  (2) 

Exponents and Polynomials 


323  (74) 

Adding and Subtracting Polynomials 


324  (8) 


332  (11) 


343  (9) 

Polynomials in Several Variables 


352  (8) 


360  (8) 

Dividing Polynomials by Binomials 


368  (8) 

Negative Exponents and Scientific Notation 


376  (21) 


388  (1) 


389  (3) 


392  (2) 


394  (1) 

Cumulative Review Exercises (Chapters 16) 


395  (2) 


397  (58) 

The Greatest Common Factor and Factoring by Grouping 


398  (8) 

Factoring Trinomials Whose Leading Coefficient Is One 


406  (7) 

Factoring Trinomials Whose Leading Coefficient Is Not One 


413  (7) 


420  (7) 

A General Factoring Strategy 


427  (8) 

Solving Quadratic Equations by Factoring 


435  (20) 


447  (1) 


448  (2) 


450  (2) 


452  (1) 

Cumulative Review Exercises (Chapters 17) 


452  (3) 


455  (78) 

Rational Expressions and Their Simplification 


456  (9) 

Multiplying and Dividing Rational Expressions 


465  (7) 

Adding and Subtracting Rational Expressions with the Same Denominator 


472  (8) 

Adding and Subtracting Rational Expressions with Different Denominators 


480  (11) 

Complex Rational Expressions 


491  (7) 

Solving Rational Equations 


498  (9) 

Applications Using Rational Equations and Variation 


507  (26) 


523  (1) 


524  (5) 


529  (1) 


530  (1) 

Cumulative Review Exercises (Chapters 18) 


531  (2) 


533  (50) 


534  (8) 

Multiplying and Dividing Radicals 


542  (9) 


551  (5) 

Rationalizing the Denominator 


556  (7) 


563  (7) 


570  (13) 


576  (1) 


577  (2) 


579  (1) 


580  (1) 

Cumulative Review Exercises (Chapters 19) 


581  (2) 

Quadratic Equations and Functions 


583  (1) 

Solving Quadratic Equations by the Square Root Property 


584  (8) 

Solving Quadratic Equations by Completing the Square 


592  (5) 


597  (9) 

Imaginary Numbers as Solutions of Quadratic Equations 


606  (5) 

Graphs of Quadratic Equations 


611  (10) 

Introduction to Functions 


621  (11) 


631  (1) 


632  (3) 


635  (2) 


637  (1) 

Cumulative Review Exercises Covering the Entire Book 


638  
Answers to Selected Exercises 

1  (1) 
Subject Index 

1  (1) 
Photo Credits 

1  