Tools to Help Students Succeed 

xi  
Additional Resources to Help You Succeed 

xiii  
Preface 

xv  
Applications Index 

xxv  


1  (1) 

Factors and the Least Common Multiple 


2  (7) 


9  (10) 


19  

Group Activity: Interpreting Survey Results 


28  (1) 


29  (1) 


29  (3) 


32  (2) 


34  

Real Numbers and Introduction to Algebra 


1  (88) 

Tips for Success in Mathematics 


2  (6) 

Symbols and Sets of Numbers 


8  (11) 

Exponents, Order of Operations, and Variable Expressions 


19  (10) 


29  (9) 


38  (10) 

Integrated ReviewOperations on Real Numbers 


46  (2) 

Multiplying and Dividing Real Numbers 


48  (12) 

Properties of Real Numbers 


60  (8) 


68  (21) 

Chapter 1 Group Activity: Magic Squares 


77  (1) 

Chapter 1 Vocabulary Check 


78  (1) 


78  (5) 


83  (4) 


87  (2) 

Equations, Inequalities, and Problem Solving 


89  (89) 

The Addition Property of Equality 


90  (9) 

The Multiplication Property of Equality 


99  (9) 

Further Solving Linear Equations 


108  (10) 

Integrated ReviewSolving Linear Equations 


116  (2) 

An Introduction to Problem Solving 


118  (12) 

Formulas and Problem Solving 


130  (12) 

Percent and Mixture Problem Solving 


142  (12) 

Solving Linear Inequalities 


154  (24) 

Chapter 2 Group Activity: Investigating Averages 


164  (1) 

Chapter 2 Vocabulary Check 


165  (1) 


165  (3) 


168  (5) 


173  (2) 


175  (3) 

Graphing Equations and Inequalities 


178  (89) 

Reading Graphs and the Rectangular Coordinate System 


179  (15) 

Graphing Linear Equations 


194  (11) 


205  (10) 


215  (18) 

Integrated ReviewSummary on Linear Equations 


231  (2) 


233  (10) 

Graphing Linear Inequalities in Two Variables 


243  (24) 

Chapter 3 Group Activity: Finding a Linear Model 


252  (1) 

Chapter 3 Vocabulary Check 


253  (1) 


253  (4) 


257  (6) 


263  (2) 


265  (2) 


267  (49) 

Solving Systems of Linear Equations by Graphing 


268  (10) 

Solving Systems of Linear Equations by Substitution 


278  (8) 

Solving Systems of Linear Equations by Addition 


286  (8) 

Integrated ReviewSummary on Solving Systems of Equations 


293  (1) 

Systems of Linear Equations and Problem Solving 


294  (22) 

Chapter 4 Group Activity: BreakEven Point 


305  (1) 

Chapter 4 Vocabulary Check 


306  (1) 


306  (3) 


309  (3) 


312  (2) 


314  (2) 

Exponents and Polynomials 


316  (76) 


317  (12) 

Negative Exponents and Scientific Notation 


329  (9) 

Introduction to Polynomials 


338  (10) 

Adding and Subtracting Polynomials 


348  (7) 


355  (7) 


362  (9) 

Integrated ReviewExponents and Operations on Polynomials 


369  (2) 


371  (21) 

Chapter 5 Group Activity: Modeling with Polynomials 


378  (1) 

Chapter 5 Vocabulary Check 


379  (1) 


379  (3) 


382  (5) 


387  (2) 


389  (3) 


392  (70) 

The Greatest Common Factor 


393  (10) 

Factoring Trinomials of the Form x2 + bx + c 


403  (7) 

Factoring Trinomials of the Form ax2 + bx + c 


410  (7) 

Factoring Trinomials of the Form ax2 + bx + c by Grouping 


417  (4) 

Factoring by Special Products 


421  (10) 

Integrated ReviewChoosing a Factoring Strategy 


429  (2) 

Solving Quadratic Equations by Factoring 


431  (9) 

Quadratic Equations and Problem Solving 


440  (22) 


449  (1) 

Chapter 6 Vocabulary Check 


450  (1) 


450  (3) 


453  (4) 


457  (2) 


459  (3) 


462  (82) 

Simplifying Rational Expressions 


463  (10) 

Multiplying and Dividing Rational Expressions 


473  (9) 

Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominators 


482  (9) 

Adding and Subtracting Rational Expressions with Different Denominators 


491  (8) 

Solving Equations Containing Rational Expressions 


499  (9) 

Integrated ReviewSummary on Rational Exprssions 


506  (2) 

Proportions and Problem Solving with Rational Equations 


508  (15) 

Simplifying Complex Fractions 


523  (21) 

Chapter 7 Group Activity: FastGrowing Careers 


529  (1) 

Chapter 7 Vocabulary Check 


530  (1) 


530  (5) 


535  (4) 


539  (2) 


541  (3) 


544  (61) 

Review of Equations of Lines and Writing Parallel and Perpendicular Lines 


545  (10) 

Introduction to Functions 


555  (12) 

Polynomial and Rational Functions 


567  (9) 

Integrated ReviewLinear Equations in Two Variables and Functions 


574  (2) 

Interval Notation, Finding Domains and Ranges from Graphs, and Graphing PiecewiseDefined Functions 


576  (8) 

Shifting and Reflecting Graphs of Functions 


584  (21) 

Chapter 8 Group Activity: Linear Modeling 


592  (1) 

Chapter 8 Vocabulary Check 


593  (1) 


593  (3) 


596  (4) 


600  (2) 


602  (3) 

Systems of Equations and Inequalities and Variation 


605  (46) 

Solving Systems of Linear Equations in Three Variables and Problem Solving 


606  (11) 

Solving Systems of Equations Using Matrices 


617  (8) 

Integrated ReviewSystems of Linear Equations 


624  (1) 

Systems of Linear Inequalities 


625  (5) 

Variation and Problem Solving 


630  (21) 

Chapter 9 Group Activity: Another Mathematical Model 


639  (1) 

Chapter 9 Vocabulary Check 


640  (1) 


640  (3) 


643  (3) 


646  (2) 


648  (3) 

Rational Exponents, Radicals, and Complex Numbers 


651  (75) 

Radical Expressions and Radical Functions 


652  (8) 


660  (7) 

Simplifying Radical Expressions 


667  (9) 

Adding, Subtracting, and Multiplying Radical Expressions 


676  (7) 

Rationalizing Numerators and Denominators of Radical Expressions 


683  (10) 

Integrated ReviewRadicals and Rational Exponents 


691  (2) 

Radical Equations and Problem Solving 


693  (12) 


705  (21) 

Chapter 10 Group Activity: Heron of Alexandria 


712  (1) 

Chapter 10 Vocabulary Check 


713  (1) 


713  (4) 


717  (4) 


721  (2) 


723  (3) 

Quadratic Equations and Functions 


726  (82) 

Solving Quadratic Equations by Completing the Square 


727  (12) 

Solving Quadratic Equations by Using the Quadratic Formula 


739  (13) 

Solving Equations by Using Quadratic Methods 


752  (12) 

Integrated ReviewSummary on Solving Quadratic Equations 


762  (2) 

Nonlinear Inequalities in One Variable 


764  (9) 

Quadratic Functions and Their Graphs 


773  (11) 

Further Graphing of Quadratic Functions 


784  (24) 

Chapter 11 Group Activity: Recognizing Linear and Quadratic Models 


794  (1) 

Chapter 11 Vocabulary Check 


795  (1) 


795  (4) 


799  (4) 


803  (2) 


805  (3) 

Exponential and Logarithmic Functions 


808  (77) 


809  (7) 


816  (11) 


827  (10) 


837  (8) 


845  (8) 

Integrated ReviewFunctions and Properties of Logarithms 


851  (2) 

Common Logarithms, Natural Logarithms, and Change of Base 


853  (7) 

Exponential and Logarithmic Equations and Problem Solving 


860  (25) 

Chapter 12 Group Activity: Sound Intensity 


868  (1) 

Chapter 12 Vocabulary Check 


869  (1) 


869  (4) 


873  (6) 


879  (3) 


882  (3) 


885  (55) 

The Parabola and the Circle 


886  (14) 

The Ellipse and the Hyperbola 


900  (12) 

Integrated ReviewGraphing Conic Sections 


910  (2) 

Solving Nonlinear Systems of Equations 


912  (7) 

Nonlinear Inequalities and Systems of Inequalities 


919  (21) 

Chapter 13 Group Activity: Modeling Conic Sections 


925  (1) 

Chapter 13 Vocabulary Check 


926  (1) 


926  (3) 


929  (5) 


934  (3) 


937  (3) 
Appendix A Transition Review: Exponents, Polynomials, and Factoring Strategies 

940  (6) 
Appendix B Transition Review: Solving Linear and Quadratic Equations 

946  (5) 
Appendix C The Bigger Picture 

951  (5) 
Appendix D Sets and Compound Inequalities 

956  (6) 
Appendix E Absolute Value Equations and Inequalities 

962  (10) 
Appendix F Determinants and Cramer's Rule 

972  (9) 
Appendix G Review of Angles, Lines, and Special Triangles 

981  (8) 
Appendix H An Introduction to Using a Graphing Utility 

989  (6) 
Appendix I Stretching and Compressing Graphs of Absolute Value Functions 

995  
Answers to Selected Exercises 

1  (48) 
Solutions to Selected Exercises 

49  
Index 

1  (8) 
Photo Credits 

9  