Preface 

vii  

Real Numbers and Algebraic Expressions 


1  (78) 


2  (1) 

Tips for Success in Mathematics 


3  (6) 


9  (10) 

Properties of Real Numbers 


19  (10) 

Operations on Real Numbers 


29  (12) 

Integrated ReviewReal Numbers 


39  (2) 

Order of Operations and Algebraic Expressions 


41  (8) 

Exponents and Scientific Notation 


49  (10) 

More Work with Exponents and Scientific Notation 


59  (20) 

Activity: Searching for Patterns 


66  (1) 

Chapter 1 Vocabulary Check 


67  (1) 


67  (4) 


71  (6) 


77  (2) 

Equations, Inequalities, and Problem Solving 


79  (88) 


80  (1) 

Linear Equations in One Variable 


81  (10) 

An Introduction to Problem Solving 


91  (14) 

Formulas and Problem Solving 


105  (10) 

Linear Inequalities and Problem Solving 


115  (16) 

Integrated ReviewLinear Equations and Inequalities 


129  (2) 

Sets and Compound Inequalities 


131  (8) 

Absolute Value Equations and Inequalities 


139  (28) 

Activity: Room Redecorating 


150  (1) 

Chapter 2 Vocabulary Check 


151  (1) 


151  (6) 


157  (6) 


163  (2) 


165  (2) 


167  (90) 


168  (1) 

Graphing Linear Equations 


169  (16) 


185  (12) 


197  (8) 


205  (12) 

Integrated ReviewLinear Equations in Two Variables 


215  (2) 

Introduction to Functions 


217  (14) 

Graphing Linear Inequalities 


231  (26) 

Activity: Measuring Slope 


238  (1) 

Chapter 3 Vocabulary Check 


239  (1) 


239  (6) 


245  (6) 


251  (4) 


255  (2) 

Systems of Equations and Inequalities 


257  (68) 


258  (1) 

Solving Systems of Linear Equations in Two Variables 


259  (14) 

Solving Systems of Linear Equations in Three Variables 


273  (8) 

Systems of Linear Equations and Problem Solving 


281  (16) 

Integrated ReviewSystems of Linear Equations 


295  (2) 

Solving Systems of Equations Using Matrices 


297  (6) 

Systems of Linear Inequalities 


303  (22) 

Activity: Locating Lightning Strikes 


310  (1) 

Chapter 4 Vocabulary Check 


311  (1) 


311  (6) 


317  (4) 


321  (2) 


323  (2) 

Polynomials and Polynomial Functions 


325  (96) 


326  (1) 

Adding and Subtracting Polynomials 


327  (12) 


339  (10) 


349  (10) 

The Greatest Common Factor and Factoring by Grouping 


359  (8) 


367  (10) 

Factoring by Special Products 


377  (10) 

Integrated ReviewOperations on Polynomials and Factoring Strategies 


385  (2) 

Solving Equations by Factoring and Solving Problems 


387  (10) 

An Introduction to Graphing Polynomial Functions 


397  (24) 

Activity: Finding the Largest Area 


406  (1) 

Chapter 5 Vocabulary Check 


407  (1) 


407  (4) 


411  (6) 


417  (2) 


419  (2) 


421  (80) 


422  (1) 

Multiplying and Dividing Rational Expressions 


423  (12) 

Adding and Subtracting Rational Expressions 


435  (10) 

Simplifying Complex Fractions 


445  (8) 

Solving Equations Containing Rational Expressions 


453  (10) 

Integrated ReviewExpressions and Equations Containing Rational Expressions 


461  (2) 

Rational Equations and Problem Solving 


463  (12) 

Variation and Problem Solving 


475  (26) 

Activity: Estimating Population Sizes 


485  (2) 

Chapter 6 Vocabulary Check 


487  (1) 


487  (4) 


491  (6) 


497  (2) 


499  (2) 

Rational Exponents, Radicals, and Complex Numbers 


501  (84) 


502  (1) 


503  (10) 


513  (8) 

Simplifying Radical Expressions 


521  (8) 

Adding, Subtracting, and Multiplying Radical Expressions 


529  (8) 

Rationalizing Numerators and Denominators of Radical Expressions 


537  (12) 

Integrated ReviewRadicals and Rational Exponents 


547  (2) 

Radical Equations and Problem Solving 


549  (12) 


561  (24) 

Activity: Calculating the Length and Period of a Pendulum 


570  (1) 

Chapter 7 Vocabulary Check 


571  (1) 


571  (4) 


575  (6) 


581  (2) 


583  (2) 

Quadratic Equations and Functions 


585  (84) 


586  (1) 

Solving Quadratic Equations by Completing the Square 


587  (12) 

Solving Quadratic Equations by Using the Quadratic Formula 


599  (12) 

Solving Equations by Using Quadratic Methods 


611  (14) 

Integrated ReviewSummary on Solving Quadratic Equations 


623  (2) 

Nonlinear Inequalities in One Variable 


625  (8) 

Quadratic Functions and Their Graphs 


633  (12) 

Further Graphing of Quadratic Functions 


645  (24) 

Activity: Recognizing Linear and Quadratic Models 


656  (1) 

Chapter 8 Vocabulary Check 


657  (1) 


657  (4) 


661  (4) 


665  (2) 


667  (2) 


669  (66) 


670  (1) 

The Parabola and the Circle 


671  (16) 

The Ellipse and the Hyperbola 


687  (12) 

Integrated ReviewGraphing Conic Sections 


697  (2) 

Graphing Nonlinear Functions 


699  (6) 

Solving Nonlinear Systems of Equations 


705  (6) 

Nonlinear Inequalities and Systems of Inequalities 


711  (24) 

Activity: Modeling Conic Sections 


718  (1) 

Chapter 9 Vocabulary Check 


719  (1) 


719  (4) 


723  (6) 


729  (4) 


733  (2) 

Exponential and Logarithmic Functions 


735  (84) 


736  (1) 


737  (6) 


743  (12) 


755  (10) 


765  (10) 


775  (10) 

Integrated ReviewFunctions and Properties of Logarithms 


783  (2) 

Common Logarithms, Natural Logarithms, and Change of Base 


785  (8) 

Exponential and Logarithmic Equations and Problem Solving 


793  (26) 

Activity: Modeling Temperature 


802  (1) 

Chapter 10 Vocabulary Check 


803  (1) 


803  (4) 


807  (6) 


813  (4) 


817  (2) 
Appendix A An Introduction to Using a Graphing Utility 

819  (6) 
Appendix B Solving Systems of Equations Using Determinants 

825  (8) 
Appendix C Fractions 

833  (8) 
Appendix D Review of Angles, Lines, and Special Triangles 

841  (8) 
Appendix E Review of Geometric Figures 

849  
Answers to Selected Exercises 

A1  
Solutions to Selected Exercises 

A43  
Index 

I1  
Photo Credits 

I8  