PREFACE 

ix  (12) 
TO THE STUDENT 

xxi  


1  (60) 

1.1 Study Skills for Success in Mathematics and Using a Calculator 


2  (5) 

1.2 Sets and Other Basic Concepts 


7  (10) 

1.3 Properties of and Operations with Real Numbers 


17  (12) 


29  (11) 


40  (9) 


49  (7) 


56  (2) 


58  (2) 


60  (1) 

2) Equations and Inequalities 


61  (76) 

2.1 Solving Linear Equations 


62  (12) 

2.2 Problem Solving and Using Formulas 


74  (10) 

2.3 Applications of Algebra 


84  (12) 

2.4 Additional Application Problems 


96  (10) 

2.5 Solving Linear Inequalities 


106  (15) 

2.6 Solving Equations and Inequalities Containing Absolute Values 


121  (10) 


131  (1) 


132  (2) 


134  (1) 


135  (2) 


137  (84) 


138  (14) 


152  (16) 

3.3 Linear Functions: Graphs and Applications 


168  (11) 

3.4 The SlopeIntercept Form of a Linear Equation 


179  (14) 

3.5 The PointSlope Form of a Linear Equation 


193  (9) 

3.6 The Algebra of Functions 


202  (9) 

3.7 Graphing Linear Inequalities 


211  (3) 


214  (1) 


215  (4) 


219  (1) 


220  (1) 

4) Systems of Equations and Inequalities 


221  (60) 

4.1 Solving Systems of Linear Equations in Two Variables 


222  (11) 

4.2 Solving Systems of Linear Equations in Three Variables 


233  (8) 

4.3 Systems of Linear Equations: Applications and Problem Solving 


241  (13) 

4.4 Solving Systems of Equations Using Matrices 


254  (8) 

4.5 Solving Systems of Equations Using Determinants and Cramer's Rule 


262  (8) 

4.6 Solving Systems of Linear Inequalities 


270  (5) 


275  (1) 


276  (2) 


278  (1) 


279  (2) 

5) Polynomials and Polynomial Functions 


281  (76) 

5.1 Addition and Substraction of Polynomials 


282  (10) 

5.2 Multiplication of Polynomials 


292  (9) 

5.3 Division of Polynomials and Synthetic Division 


301  (8) 

5.4 Factoring a Monomial From a Polynomial and Factoring by Grouping 


309  (7) 


316  (11) 

5.6 Special Factoring Formulas 


327  (8) 

5.7 A General Review of Factoring 


335  (4) 


339  (12) 


351  (1) 


352  (3) 


355  (1) 


355  (2) 

6) Rational Expressions and Equations 


357  (64) 

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


358  (9) 

6.2 Addition and Substraction of Rational Expressions 


367  (10) 


377  (6) 

6.4 Solving Rational Equations 


383  (13) 

6.5 Rational Equations: Applications and Problem Solving 


396  (10) 


406  (9) 


415  (1) 


415  (3) 


418  (1) 


419  (2) 

7) Roots, Radicals, and Complex Numbers 


421  (68) 


422  (8) 


430  (8) 

7.3 Multiplying and Simplifying Radicals 


438  (8) 

7.4 Dividing and Simplifying Radicals 


446  (10) 

7.5 Adding and Subtracting Radicals 


456  (6) 

7.6 Solving Radical Equations 


462  (12) 


474  (8) 


482  (1) 


483  (3) 


486  (1) 


487  (2) 


489  (70) 

8.1 Solving Quadratic Equations by Completing the Square 


490  (10) 

8.2 Solving Quadratic Equations by the Quadratic Formula 


500  (14) 

8.3 Quadratic Equations: Applications and Problem Solving 


514  (7) 

8.4 Writing Equations in Quadratic Form 


521  (7) 

8.5 Graphing Quadratic Functions 


528  (17) 

8.6 Quadratic and Other Inequalities in One Variable 


545  (9) 


554  (1) 


555  (2) 


557  (1) 


558  (1) 

9) Exponential and Logarithmic Functions 


559  (62) 

9.1 Composite and Inverse Functions 


560  (12) 

9.2 Exponential Functions 


572  (7) 

9.3 Logarithmic Functions 


579  (6) 

9.4 Properties of Logarithms 


585  (6) 


591  (6) 

9.6 Exponential and Logarithmic Equations 


597  (7) 

9.7 Natural Exponential and Natural Logarithmic Functions 


604  (12) 


616  (1) 


617  (2) 


619  (1) 


620  (1) 


621  (38) 

10.1 The Parabola and the Circle 


622  (12) 


634  (5) 


639  (6) 

10.4 Nonlinear Systems of Equations and Their Applications 


645  (8) 


653  (1) 


654  (2) 


656  (1) 


657  (2) 

11) Sequences, Series, and the Binomial Theorem 


659  (38) 

11.1 Sequences and Series 


660  (8) 

11.2 Arithmetic Sequences and Series 


668  (6) 

11.3 Geometric Sequences and Series 


674  (11) 

11.4 The Binomial Theorem 


685  (6) 


691  (1) 


692  (2) 


694  (1) 


695  (2) 
Appendices 

697  
A A Review of Fractions 

B Geometric Formulas 

Answers 

A1  
Index 

I1  
Photo Credits 

P1  