Preface 

xi  
To the Student 

xxiv  


1  (65) 

Study Skills for Success in Mathematics, and Using a Calculator 


2  (4) 

Sets and Other Basic Concepts 


6  (12) 

Properties of and Operations with Real Numbers 


18  (11) 


29  (13) 


42  (10) 


52  (14) 


60  (2) 


62  (2) 


64  (2) 

Equations and Inequalities 


66  (81) 


67  (12) 

Problem Solving and Using Formulas 


79  (11) 


90  (14) 

Additional Application Problems 


104  (11) 

Solving Linear Inequalities 


115  (14) 

Solving Equations and Inequalities Containing Absolute Values 


129  (18) 


140  (1) 


141  (3) 


144  (1) 


145  (2) 


147  (89) 


148  (15) 


163  (16) 

Linear Functions: Graphs and Applications 


179  (12) 

The SlopeIntercept Form of a Linear Equation 


191  (14) 

The PointSlope Form of a Linear Equation 


205  (10) 


215  (9) 

Graphing Linear Inequalities 


224  (12) 


228  (1) 


229  (4) 


233  (1) 


234  (2) 

Systems of Equations and Inequalities 


236  (63) 

Solving Systems of Linear Equations in Two Variables 


237  (12) 

Solving Systems of Linear Equations in Three Variables 


249  (7) 

Systems of Linear Equations: Applications and Problem Solving 


256  (14) 

Solving Systems of Equations Using Matrices 


270  (9) 

Solving Systems of Equations Using Determinants and Cramer's Rule 


279  (8) 

Solving Systems of Linear Inequalities 


287  (12) 


292  (2) 


294  (2) 


296  (1) 


297  (2) 

Polynomials and Polynomial Functions 


299  (86) 

Addition and Subtraction of Polynomials 


300  (11) 

Multiplication of Polynomials 


311  (10) 

Division of Polynomials and Synthetic Division 


321  (11) 

Factoring a Monomial from a Polynomial and Factoring by Grouping 


332  (8) 


340  (11) 

Special Factoring Formulas 


351  (8) 

A General Review of Factoring 


359  (5) 


364  (21) 


377  (1) 


378  (5) 


383  (1) 


384  (1) 

Rational Expressions and Equations 


385  (69) 

The Domains of Rational Functions and Multiplication and Division of Rational Expressions 


386  (10) 

Addition and Subtraction of Rational Expressions 


396  (12) 


408  (6) 

Solving Rational Equations 


414  (13) 

Rational Equations: Applications and Problem Solving 


427  (11) 


438  (16) 


447  (1) 


448  (3) 


451  (1) 


452  (2) 

Roots, Radicals, and Complex Numbers 


454  (71) 


455  (9) 


464  (9) 


473  (8) 

Adding, Subtracting, and Multiplying Radicals 


481  (7) 


488  (9) 

Solving Radical Equations 


497  (12) 


509  (16) 


518  (1) 


519  (4) 


523  (1) 


524  (1) 


525  (78) 

Solving Quadratic Equations by Completing the Square 


526  (10) 

Solving Quadratic Equations by the Quadratic Formula 


536  (13) 

Quadratic Equations: Applications and Problem Solving 


549  (10) 

Writing Equations in Quadratic Form 


559  (7) 

Graphing Quadratic Functions 


566  (19) 

Quadratic and Other Inequalities in One Variable 


585  (18) 


596  (1) 


596  (4) 


600  (1) 


601  (2) 

Exponential and Logarithmic Functions 


603  (68) 

Composite and Inverse Functions 


604  (12) 


616  (10) 


626  (7) 


633  (6) 


639  (7) 

Exponential and Logarithmic Equations 


646  (6) 

Natural Exponential and Natural Logarithmic Functions 


652  (19) 


664  (1) 


665  (3) 


668  (1) 


669  (2) 


671  (41) 

The Parabola and the Circle 


672  (11) 


683  (7) 


690  (8) 

Nonlinear Systems of Equations and Their Applications 


698  (14) 


707  (1) 


708  (2) 


710  (1) 


710  (2) 

Sequences, Series, and the Binomial Theorem 


712  (39) 


713  (8) 

Arithmetic Sequences and Series 


721  (7) 

Geometric Sequences and Series 


728  (12) 


740  (11) 


745  (1) 


746  (3) 


749  (1) 


749  (2) 
Appendix Geometric Formulas 

751  
Answers 

1  (1) 
Index 

1  (1) 
Photo Credits 

1  