Preface 

xi  


1  (94) 

Rational Numbers and the Number Line 


2  (13) 


15  (13) 

Multiplication and Division 


28  (16) 


44  (16) 


60  (10) 

Properties of Real Numbers and Order of Operations 


70  (25) 


80  (1) 

SectionbySection Review 


81  (8) 


89  (2) 


91  (2) 


93  (2) 

Variables, Expressions, Equations, and Formulas 


95  (48) 

Variables and Algebraic Expressions 


96  (7) 

Simplifying Algebraic Expressions 


103  (9) 


112  (8) 


120  (23) 


133  (1) 

SectionbySection Review 


133  (4) 


137  (2) 


139  (1) 


140  (3) 

Relations, Functions, and Graphs 


143  (74) 

Tables of Values, Ordered Pairs, and Relations 


144  (11) 

Rectangular Coordinate System and Graphing 


155  (19) 

Functions and Function Notation 


174  (10) 


184  (33) 


200  (1) 

SectionbySection Review 


200  (8) 


208  (2) 


210  (2) 


212  (2) 

Chapter 13 Cumulative Review 


214  (3) 

Linear Equations in One Varible 


217  (82) 

Solving Equations Numerically and Graphically 


218  (17) 

Solving Equations by Using Addition and Multiplication 


235  (11) 

Solving Equations by Using a Combination of Properties 


246  (12) 

Solving Equations or Formulas for a Specified Variable 


258  (8) 


266  (10) 

Solving Linear AbsoluteValue Equations 


276  (23) 


286  (1) 

SectionbySection Review 


286  (6) 


292  (2) 


294  (1) 


295  (4) 

Linear Equations and Functions 


299  (86) 

Graphing by Using Ordered Pairs 


300  (18) 

Graphing by Using the SlopeIntercept Method 


318  (22) 

Coinciding, Parallel, and Perpendicular Lines 


340  (11) 

Writing Linear Equations from Given Data 


351  (34) 


367  (1) 

SectionbySection Review 


368  (6) 


374  (3) 


377  (2) 


379  (3) 

Chapter 15 Cumulative Review 


382  (3) 

Systems of Linear Equations 


385  (76) 

Solving Systems of Two Equations Graphically 


386  (12) 

Solving Systems of Two Equations by Using Substitution 


398  (11) 

Solving Systems of Two Equations by Using Elimination 


409  (12) 


421  (14) 

Solving Systems of Linear Equations in Three Variables 


435  (26) 


448  (1) 

SectionbySection Review 


448  (6) 


454  (2) 


456  (2) 


458  (3) 


461  (70) 

Introduction to Linear Inequalities 


462  (12) 

Linear Inequalities in One Variable 


474  (16) 

Linear Inequalities in Two Variables 


490  (15) 

Systems of Linear Inequalities in Two Variables 


505  (26) 


517  (1) 

SectionbySection Review 


518  (5) 


523  (2) 


525  (2) 


527  (1) 

Chapter 17 Cumulative Review 


528  (3) 


531  (62) 

Introduction to Polynomials 


532  (10) 

Polynomial Functions and Their Graphs 


542  (13) 

Quadratic Functions and Their Graphs 


555  (14) 

Writing Quadratic Functions 


569  (24) 


571  (9) 

SectionbySection Review 


580  (6) 


586  (2) 


588  (2) 


590  (3) 

Exponents and Polynomials 


593  (56) 

Operations Involving Nonnegative Exponents 


594  (12) 

Operations Involving Negative Exponents 


606  (8) 

Polynomial Addition and Subtraction 


614  (6) 

Polynomial Multiplication 


620  (10) 


630  (19) 


639  (1) 

SectionbySection Review 


639  (4) 


643  (2) 


645  (1) 


646  (3) 


649  (58) 


650  (12) 

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


662  (8) 

Factoring Trinomials by Using the TrialandError Method 


670  (13) 

Factoring Trinomials by Using the Grouping Method 


683  (8) 

General Strategies for Factoring 


691  (16) 


698  (1) 

SectionbySection Review 


699  (3) 


702  (1) 


703  (1) 


704  (3) 

Quadratic and Other Polynomial Equations and Inequalities 


707  (92) 

Solving Equations Numerically and Graphically 


708  (11) 

Solving Equations Algebraically by Factoring 


719  (10) 

Solving Quadratic Equations by Using Square Roots 


729  (12) 

Solving Quadratic Equations by Completing the Square 


741  (8) 

Solving Quadratic Equations by Using the Quadratic Formula 


749  (12) 


761  (8) 

Solving Quadratic Inequalities 


769  (30) 


784  (1) 

SectionbySection Review 


784  (7) 


791  (2) 


793  (1) 


794  (3) 

Chapters 111 Cumulative Review 


797  (2) 

Rational Expressions, Functions, and Equations 


799  (78) 

Rational Expressions and Functions 


800  (15) 

Multiplication and Division of Rational Expressions 


815  (12) 

Addition and Substraction of Rational Expressions 


827  (16) 

Solving Rational Equations in One Variable 


843  (12) 


855  (22) 


865  (1) 

SectionbySection Review 


865  (6) 


871  (2) 


873  (1) 


874  (3) 

Radical Expressions, Functions, and Equations 


877  (96) 

Radical Expressions, Functions, and Graphs 


878  (13) 


891  (11) 

Properties of Rational Exponents 


902  (7) 


909  (11) 


920  (8) 

Solving Radical Equations in One Variable 


928  (12) 

Equations with ImaginaryNumber Solutions 


940  (33) 


956  (1) 

SectionbySection Review 


957  (7) 


964  (2) 


966  (2) 


968  (2) 

Chapter 113 Cumulative Review 


970  (3) 

Exponential and Logarthmic Functions and Equations 


973  (67) 


974  (12) 


986  (11) 


997  (13) 


1010  (6) 

Solving Exponential and Logarithmic Equations 


1016  (24) 


1027  (1) 

SectionbySection Review 


1027  (6) 


1033  (2) 


1035  (1) 


1036  (2) 

Chapter 114 Cumulative Review 


1038  (2) 
Photo Credits 

1040  
Selected Answers 

1  (1) 
Index 

1  