Preface 

xi  

Real Numbers and Algebraic Expressions 


2  (44) 

Tips for Success in Mathematics 


4  (4) 

Algebraic Expressions and Sets of Numbers 


8  (11) 

Operations on Real Numbers 


19  (11) 

Properties of Real Numbers 


30  (16) 

Project: Analyzing Newspaper Circulation 


39  (1) 


40  (1) 


41  (2) 


43  (1) 


44  (2) 

Equations, Inequalities, and Problem Solving 


46  (70) 

Linear Equations in One Variable 


48  (8) 

An Introduction to Problem Solving 


56  (11) 

Formulas and Problem Solving 


67  (8) 

Linear Inequalities and Problem Solving 


75  (11) 


86  (7) 


93  (5) 

Absolute Value Inequalities 


98  (18) 

Project: Analyzing Municipal Budgets 


104  (2) 


106  (1) 


106  (5) 


111  (2) 


113  (1) 


114  (2) 


116  (74) 


118  (10) 


128  (14) 

Graphing Linear Functions 


142  (7) 


149  (13) 


162  (10) 

Graphing Linear Inequalities 


172  (18) 

Project: Modeling Real Data 


177  (1) 


178  (1) 


179  (5) 


184  (3) 


187  (1) 


188  (2) 


190  (52) 

Solving Systems of Linear Equations in Two Variables 


192  (12) 

Solving Systems of Linear Equations in Three Variables 


204  (5) 

Systems of Linear Equations and Problem Solving 


209  (10) 

Solving Systems of Equations by Matrices 


219  (6) 

Solving Systems of Equations by Determinants 


225  (17) 

Project: Locating Lightning Strikes 


232  (1) 


233  (1) 


234  (5) 


239  (1) 


240  (1) 


241  (1) 

Exponents, Polynomials, and Polynomial Functions 


242  (86) 

Exponents and Scientific Notation 


244  (8) 

More Work with Exponents and Scientific Notation 


252  (6) 

Polynomials and Polynomial Functions 


258  (10) 


268  (8) 

The Great Common Factor and Factoring by Grouping 


276  (6) 


282  (7) 

Factoring by Special Products and Factoring Strategies 


289  (8) 

Solving Equations by Factoring and Problem Solving 


297  (12) 

An Introduction to Graphing Polynomial Functions 


309  (19) 

Project: Investigating Earth's Water 


317  (1) 


318  (1) 


319  (3) 


322  (3) 


325  (1) 


326  (2) 


328  (76) 

Rational Functions and Multiplying and Dividing Rational Expressions 


330  (11) 

Adding and Subtracting Rational Expressions 


341  (7) 

Simplifying Complex Fractions 


348  (6) 


354  (6) 

Synthetic Division and the Remainder Theorem 


360  (4) 

Solving Equations Containing Rational Expressions 


364  (8) 

Rational Equations and Problem Solving 


372  (10) 

Variation and Problem Solving 


382  (22) 

Project: Modeling Electricity Production 


390  (2) 


392  (1) 


393  (4) 


397  (3) 


400  (2) 


402  (2) 

Rational Exponents, Radicals, and Complex Numbers 


404  (58) 

Radicals and Radical Functions 


406  (7) 


413  (7) 

Simplifying Radical Expressions 


420  (6) 

Adding, Subtracting, and Multiplying Radical Expressions 


426  (4) 

Rationalizing Denominators and Numerators of Radical Expressions 


430  (6) 

Radical Equations and Problem Solving 


436  (9) 


445  (17) 

Project: Calculating the Length and Period of a Pendulum 


452  (1) 


453  (1) 


454  (3) 


457  (2) 


459  (1) 


460  (2) 

Quadratic Equations and Functions 


462  (62) 

Solving Quadratic Equations by Completing the Square 


464  (10) 

Solving Quadratic Equations by the Quadratic Formula 


474  (9) 

Solving Equations by Using Quadratic Methods 


483  (9) 

Nonlinear Inequalities in One Variable 


492  (7) 

Quadratic Functions and Their Graphs 


499  (8) 

Further Graphing of Quadratic Functions 


507  (17) 

Project: Fitting a Quadratic Model to Data 


515  (1) 


516  (1) 


516  (3) 


519  (2) 


521  (1) 


522  (2) 


524  (40) 

The Parabola and the Circle 


526  (9) 

The Ellipse and the Hyperbola 


535  (9) 

Solving Nonlinear Systems of Equations 


544  (6) 

Nonlinear Inequalities and Systems of Inequalities 


550  (14) 

Project: Modeling Conic Sections 


554  (1) 


555  (1) 


556  (2) 


558  (2) 


560  (1) 


561  (3) 

Exponential and Logarithmic Functions 


564  (64) 

The Algebra of Functions; Composite Functions 


566  (5) 


571  (11) 


582  (8) 


590  (7) 


597  (6) 

Common Logarithms, Natural Logarithms, and Change of Base 


603  (5) 

Exponential and Logarithmic Equations and Applications 


608  (20) 

Project: Modeling Temperature 


615  (2) 


617  (1) 


617  (3) 


620  (4) 


624  (1) 


625  (3) 

Sequences, Series, and the Binomial Theorem 


628  (37) 


630  (4) 

Arithmetic and Geometric Sequences 


634  (7) 


641  (5) 

Partial Sums of Arithmetic and Geometric Sequences 


646  (7) 


653  (12) 

Project: Modeling College Tuition 


658  (1) 


659  (1) 


659  (2) 


661  (2) 


663  (1) 


664  (1) 
APPENDICES 

665  

A. Review of Angles, Lines, and Special Triangles 


665  (8) 

B. Review of Geometric Figures 


673  (4) 

C. Review of Volume and Surface Area 


677  (6) 

D. An Introduction to Using a Graphing Utility 


683  
Answers to Selected Exercises 

A1  (1) 
Index 

I1  (1) 
Photo Credits 

P1  