Preface 

ix  


1  (1) 

Rational Numbers and the Number Line 


2  (12) 

Operations with Rational Numbers 


14  (22) 

Exponents, Roots, and Scientific Notation 


36  (19) 

Properties of Real Numbers and Order of Operations 


55  (9) 

Variables and Algebraic Expressions 


64  (7) 

Simplifying Algebraic Expressions 


71  (8) 

Equations and Inequalities 


79  (14) 


93  (30) 


106  (1) 

SectionbySection Review 


107  (9) 


116  (3) 


119  (3) 


122  (1) 

Relations, Functions, and Graphs 


123  (67) 

Tables of Values, Ordered Pairs, and Relations 


124  (11) 

Rectangular Coordinate System and Graphing 


135  (17) 

Functions and Function Notation 


152  (9) 


161  (29) 


175  (1) 

SectionbySection Review 


176  (7) 


183  (3) 


186  (2) 


188  (1) 

Chapters Pl Cumulative Review 


189  (1) 

Linear Equations in One Variable 


190  (165) 

Solving Equations Numerically and Graphically 


191  (16) 

Solving Equations by Using Addition and Multiplication 


207  (10) 

Solving Equations by Using a Combination of Properties 


217  (11) 

Solving Equations or Formulas for a Specified Variable 


228  (7) 


235  (11) 

Solving Linear AbsoluteValue Equations 


246  (22) 


255  (1) 

SectionbySection Review 


256  (5) 


261  (2) 


263  (2) 


265  (3) 

Linear Equations and Functions 



Graphing by Using the Intercept Method 


268  (17) 


285  (16) 

Graphing by Using the SlopeIntercept Method 


301  (11) 

Coinciding, Parallel, and Perpendicular Lines 


312  (12) 

Writing Linear Equations from Given Data 


324  (31) 


339  (1) 

SectionbySection Review 


340  (6) 


346  (3) 


349  (3) 


352  (1) 

Chapters P3 Cumulative Review 


353  (2) 

Systems of Linear Equations 


355  (70) 

Solving Systems of Two Equations Graphically 


356  (11) 

Solving Systems of Two Equations by the Substitution Method 


367  (11) 

Solving Systems of Two Equations by the Addition Method 


378  (11) 


389  (13) 

Solving Systems of Linear Equations in Three Variables 


402  (23) 


414  (1) 

SectionbySection Review 


415  (5) 


420  (2) 


422  (2) 


424  (1) 


425  (51) 

Linear Inequalities in One Variable 


426  (16) 

Linear Inequalities in Two Variables 


442  (13) 

Systems of Linear Inequalities in Two Variables 


455  (21) 


465  (1) 

SectionbySection Review 


466  (4) 


470  (2) 


472  (2) 


474  (1) 

Chapters P5 Cumulative Review 


475  (1) 


476  (64) 

Introduction to Polynomials 


477  (9) 

Polynomial Functions and Their Graphs 


486  (17) 

Quadratic Functions and Their Graphs 


503  (14) 

Writing Quadratic Functions 


517  (23) 


526  (1) 

SectionbySection Review 


527  (7) 


534  (3) 


537  (2) 


539  (1) 

Exponents and Polynomials 


540  (60) 

Operations Involving Nonnegative Exponents 


541  (13) 

Operations Involving Negative Exponents 


554  (8) 

Polynomial Addition and Subtraction 


562  (8) 

Polynomial Multiplication 


570  (11) 


581  (19) 


591  (1) 

SectionbySection Review 


592  (4) 


596  (1) 


597  (2) 


599  (1) 


600  (55) 


601  (11) 

Factoring PerfectSquare Trinomials, Differences of Squares, and Sums and Differences of Cubes 


612  (8) 

Factoring Trinomials by Using the TrialandError Method 


620  (11) 

Factoring Trinomials by Using the ac Method 


631  (8) 

General Strategies for Factoring 


639  (16) 


647  (1) 

SectionbySection Review 


647  (4) 


651  (1) 


652  (2) 


654  (1) 

Quadratic and Other Polynomial Equations and Inequalities 


655  (116) 

Solving Equations Numerically and Graphically 


656  (10) 

Solving Equations Algebraically by Factoring 


666  (10) 

Properties of Square Roots 


676  (10) 

Solving Quadratic Equations by Completing the Square 


686  (14) 

Solving Quadratic Equations by Using the Quadratic Formula 


700  (12) 


712  (8) 

More Quadratic Functions and Their Graphs 


720  (21) 

Solving Quadratic Inequalities 


741  (30) 


754  (1) 

SectionbySection Review 


755  (10) 


765  (2) 


767  (2) 


769  (1) 

Chapters P9 Cumulative Review 


770  (1) 

Rational Expressions, Functions, and Equations 


771  (77) 

Rational Expressions and Functions 


772  (15) 

Multiplication and Division of Rational Expressions 


787  (12) 

Addition and Subtraction of Rational Expressions 


799  (15) 

Solving Rational Equations in One Variable 


814  (12) 


826  (22) 


836  (1) 

SectionbySection Review 


837  (7) 


844  (2) 


846  (1) 


847  (1) 

Radical Expressions, Functions, and Equations 


848  (92) 

Radical Expressions, Functions, and Graphs 


849  (14) 


863  (10) 

Properties of Rational Exponents 


873  (7) 


880  (11) 


891  (9) 

Solving Radical Equations in One Variable 


900  (12) 

Equations with ImaginaryNumber Solutions 


912  (28) 


926  (1) 

SectionbySection Review 


927  (7) 


934  (2) 


936  (2) 


938  (1) 

Chapters P11 Cumulative Review 


939  (1) 

Exponential and Logarithmic Functions and Equations 


940  


941  (11) 


952  (10) 


962  (12) 


974  (5) 

Solving Exponential and Logarithmic Equations 


979  


989  (1) 

SectionbySection Review 


990  (6) 


996  (1) 


997  (1) 


998  (1) 

Chapters P12 Cumulative Review 


999  
Photo Credits 

1  
Answers to Checkup Exercises 

1  
Answers to Selected Exercises 

21  
Index 

1  