Preface 

xi  

Real Numbers, Algebraic Expressions, and Equations 


2  (102) 

Tips for Success in Mathematics 


4  (4) 

Algebraic Expressions and Sets of Numbers 


8  (11) 

Operations on Real Numbers 


19  (12) 

Properties of Real Numbers 


31  (10) 

Solving Linear Equations Algebraically 


41  (8) 

An Introduction to Problem Solving 


49  (10) 

A Numerical Approach: Modeling with Tables 


59  (12) 

Formulas and Problem Solving 


71  (10) 

Interpreting Data and Reading Bar, Line, and Circle Graphs 


81  (23) 

Analyzing Newspaper Circulation 


89  (1) 


90  (1) 


91  (5) 


96  (5) 


101  (3) 


104  (90) 


106  (17) 

Introduction to Functions 


123  (16) 

Graphing Linear Functions 


139  (10) 


149  (15) 


164  (10) 

Interpreting Data: Linear Models 


174  (20) 


181  (1) 


182  (1) 


183  (5) 


188  (3) 


191  (1) 


192  (2) 

Equations and Inequalities 


194  (60) 

Solving Linear Equations Graphically 


196  (8) 

Linear Inequalities and Problem Solving 


204  (14) 


218  (8) 


226  (6) 

Absolute Value Inequalities 


232  (7) 

Graphing Linear Inequalities in Two Variables 


239  (15) 

Analyzing Municipal Budgets 


245  (2) 


247  (1) 


247  (4) 


251  (1) 


252  (1) 


252  (2) 


254  (56) 

Solving Systems of Linear Equations in Two Variables 


256  (13) 

Solving Systems of Linear Equations in Three Variables 


269  (5) 

Systems of Linear Equations and Problem Solving 


274  (10) 

Solving Systems of Equations by Matrices 


284  (7) 

Solving Systems of Equations by Determinants 


291  (19) 

Locating Lightning Strikes 


299  (1) 


300  (1) 


301  (5) 


306  (1) 


307  (1) 


308  (2) 

Exponents, Polynomials, and Polynomial Functions 


310  (76) 

Exponents and Scientific Notation 


312  (8) 

More Work with Exponents and Scientific Notation 


320  (7) 

Polynomials and Polynomial Functions 


327  (11) 


338  (8) 

The Greatest Common Factor and Factoring by Grouping 


346  (5) 


351  (8) 

Factoring by Special Products and Factoring Strategies 


359  (8) 

Solving Equations by Factoring and Problem Solving 


367  (19) 

Investigating Earth's Water 


378  (1) 


379  (1) 


379  (3) 


382  (2) 


384  (1) 


385  (1) 


386  (72) 

Rational Functions and Multiplying and Dividing Rational Expressions 


388  (10) 

Adding and Subtracting Rational Expressions 


398  (7) 

Simplifying Complex Fractions 


405  (6) 


411  (6) 

Synthetic Division and the Remainder Theorem 


417  (4) 

Solving Equations Containing Rational Expressions 


421  (7) 

Rational Equations and Problem Solving 


428  (10) 

Variation and Problem Solving 


438  (20) 

Modeling Electricity Production 


447  (1) 


448  (1) 


448  (4) 


452  (3) 


455  (1) 


456  (2) 

Rational Exponents, Radicals, and Complex Numbers 


458  (56) 

Radicals and Radical Functions 


460  (7) 


467  (7) 

Simplifying Radical Expression 


474  (5) 

Adding, Subtracting, and Multiplying Radical Expressions 


479  (4) 

Rationalizing Denominators and Numerators of Radical Expressions 


483  (6) 

Radical Equations and Problem Solving 


489  (9) 


498  (16) 

Calculating the Length and Period of a Pendulum 


505  (1) 


506  (1) 


507  (3) 


510  (2) 


512  (1) 


513  (1) 

Quadratic Equations and Functions 


514  (70) 

Solving Quadratic Equations by Completing the Square 


516  (10) 

Solving Quadratic Equations by the Quadratic Formula 


526  (10) 

Solving Equations by Using Quadratic Methods 


536  (8) 

Nonlinear Inequalities in One Variable 


544  (8) 

Quadratic Functions and Their Graphs 


552  (8) 

Further Graphing of Quadratic Functions 


560  (8) 

Interpreting Data: Linear and Quadratic Models 


568  (16) 

Fitting a Quadratic Model to Data 


575  (1) 


576  (1) 


576  (4) 


580  (2) 


582  (1) 


583  (1) 

Exponential and Logarithmic Functions 


584  (64) 

The Algebra of Functions; Composite Functions 


586  (5) 


591  (11) 


602  (9) 


611  (7) 


618  (6) 

Common Logarithms, Natural Logarithms, and Change of Base 


624  (5) 

Exponential and Logarithmic Equations and Applications 


629  (19) 


636  (2) 


638  (3) 


641  (4) 


645  


582  (64) 


646  (2) 


648  (40) 

The Parabola and the Circle 


650  (10) 

The Ellipse and the Hyperbola 


660  (8) 

Solving Nonlinear Systems of Equations 


668  (5) 

Nonlinear Inequalities and Systems of Inequalities 


673  (15) 


678  (1) 


679  (1) 


680  (3) 


683  (2) 


685  (1) 


686  (2) 

Sequences, Series, and the Binomial Theorem 


688  (37) 


690  (4) 

Arithmetic and Geometric Sequences 


694  (7) 


701  (5) 

Partial Sums of Arithmetic and Geometric Sequences 


706  (7) 


713  (12) 


718  (1) 


719  (1) 


719  (2) 


721  (2) 


723  (1) 


724  (1) 
APPENDICES 

725  

A. Review of Angles, Lines, and Special Triangles 


725  

B. Review of Geometric Figures 


733  

C. Review of Volume and Surface Area 


737  

D. Using a Graphing Utility 


743  
Answers to Selected Exercises 

A1  
Index 

I1  
Photo Credits 

P1  