Preface 

ix  


1  (1) 


2  (1) 

Factors and the Least Common Multiple 


3  (6) 


9  (10) 


19  

Chapter R Activity: Interpreting Survey Results 


28  (1) 

Chapter R Vocabulary Check 


29  (1) 


30  (3) 


33  (2) 


35  

Real Numbers and Introduction to Algebra 


1  (80) 


2  (1) 

Tips for Success in Mathematics 


3  (6) 

Symbols and Sets of Numbers 


9  (12) 

Exponents, Order of Operations, and Variable Expressions 


21  (10) 


31  (8) 


39  (10) 

Integrated ReviewOperations on Real Numbers 


47  (2) 

Multiplying and Dividing Real Numbers 


49  (12) 

Properties of Real Numbers 


61  (20) 

Chapter 1 Activity: Analyzing Wealth 


69  (2) 

Chapter 1 Vocabulary Check 


71  (1) 


71  (4) 


75  (4) 


79  (2) 

Equations, Inequalities, and Problem Solving 


81  (100) 


82  (1) 


83  (8) 

The Addition Property of Equality 


91  (10) 

The Multiplication Property of Equality 


101  (8) 

Further Solving Linear Equations 


109  (12) 

Integrated ReviewSolving Linear Equations 


119  (2) 

An Introduction to Problem Solving 


121  (12) 

Formulas and Problem Solving 


133  (10) 

Percent, Ratio, and Proportion 


143  (12) 

Linear Inequalities and Problem Solving 


155  (26) 

Chapter 2 Activity: Investigating Averages 


168  (1) 

Chapter 2 Vocabulary Check 


169  (1) 


169  (4) 


173  (4) 


177  (2) 


179  (2) 

Graphing Equations and Inequalities 


181  (86) 


182  (1) 

Reading Graphs and the Rectangular Coordinate System 


183  (20) 

Graphing Linear Equations 


203  (12) 


215  (10) 


225  (18) 

Integrated ReviewSummary on Linear Equations 


241  (2) 

Graphing Linear Inequalities in Two Variables 


243  (24) 

Chapter 3 Activity: Finding a Linear Model 


252  (1) 

Chapter 3 Vocabulary Check 


253  (1) 


253  (4) 


257  (6) 


263  (2) 


265  (2) 

Exponents and Polynomials 


267  (76) 


268  (1) 


269  (12) 

Negative Exponents and Scientific Notation 


281  (10) 

Introduction to Polynomials 


291  (10) 

Adding and Subtracting Polynomials 


301  (6) 


307  (6) 


313  (8) 

Integrated ReviewExponents and Operations on Polynomials 


319  (2) 


321  (22) 

Chapter 4 Activity: Modeling with Polynomials 


329  (2) 

Chapter 4 Vocabulary Check 


331  (1) 


331  (4) 


335  (4) 


339  (2) 


341  (2) 


343  (70) 


344  (1) 

The Greatest Common Factor 


345  (8) 

Factoring Trinomials of the Form x2 + bx + c 


353  (6) 

Factoring Trinomials of the Form ax2 + bx + c 


359  (6) 

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


365  (4) 

Factoring by Special Products 


369  (12) 

Integrated ReviewChoosing a Factoring Strategy 


379  (2) 

Solving Quadratic Equations by Factoring 


381  (10) 

Quadratic Equations and Problem Solving 


391  (22) 

Chapter 5 Activity: Factoring 


400  (1) 

Chapter 5 Vocabulary Check 


401  (1) 


401  (4) 


405  (4) 


409  (2) 


411  (2) 


413  (76) 


414  (1) 

Simplifying Rational Expressions 


415  (8) 

Multiplying and Dividing Rational Expressions 


423  (10) 

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


433  (8) 

Adding and Subtracting Rational Expressions with Different Denominators 


441  (8) 

Solving Equations Containing Rational Expressions 


449  (10) 

Integrated ReviewSummary on Rational Expressions 


457  (2) 

Rational Equations and Problem Solving 


459  (10) 

Simplifying Complex Fractions 


469  (20) 

Chapter 6 Activity: Analyzing a Table 


476  (1) 

Chapter 6 Vocabulary Check 


477  (1) 


477  (4) 


481  (4) 


485  (2) 


487  (2) 


489  (70) 


490  (1) 


491  (8) 


499  (12) 

Integrated ReviewLinear Equations in Two Variables 


509  (2) 

Introduction to Functions 


511  (14) 

Polynomial and Rational Functions 


525  (8) 

Variation and Problem Solving 


533  (26) 

Chapter 7 Activity: Measuring Slope 


544  (1) 

Chapter 7 Vocabulary Check 


545  (1) 


545  (4) 


549  (4) 


553  (4) 


557  (2) 

Systems of Equations and Inequalities 


559  


560  (1) 

Solving Systems of Linear Equations by Graphing 


561  (12) 

Solving Systems of Linear Equations by Substitution 


573  (8) 

Solving Systems of Linear Equations by Addition 


581  (10) 

Integrated ReviewSystems of Linear Equations 


589  (2) 

Systems of Linear Equations and Problem Solving 


591  (16) 

Solving Systems of Linear Equations in Three Variables 


607  (12) 

Solving Systems of Equations Using Matrices 


619  (6) 

Systems of Linear Inequalities 


625  

Chapter 8 Activity: Analyzing the Courses of Ships 


632  (1) 

Chapter 8 Vocabulary Check 


633  (1) 


633  (6) 


639  (6) 


645  (4) 


649  

Rational Exponents, Radicals, and Complex Numbers 


65  (670) 


652  (1) 

Radical Expressions and Functions 


653  (10) 


663  (8) 

Simplifying Radical Expressions 


671  (8) 

Adding, Subtracting, and Multiplying Radical Expressions 


679  (8) 

Rationalizing Numerators and Denominators of Radical Expressions 


687  (12) 

Integrated ReviewRadicals and Rational Exponents 


697  (2) 

Radical Equations and Problem Solving 


699  (12) 


711  (24) 

Chapter 9 Activity: Calculating the Length and Period of a Pendulum 


720  (1) 

Chapter 9 Vocabulary Check 


721  (1) 


721  (4) 


725  (6) 


731  (2) 


733  (2) 

Quadratic Equations and Functions 


735  (84) 


736  (1) 

Solving Quadratic Equations by Completing the Square 


737  (12) 

Solving Quadratic Equations by Using the Quadratic Formula 


749  (12) 

Solving Equations by Using Quadratic Methods 


761  (14) 

Integrated ReviewSummary on Solving Quadratic Equations 


773  (2) 

Nonlinear Inequalities in One Variable 


775  (8) 

Quadratic Functions and Their Graphs 


783  (12) 

Further Graphing of Quadratic Functions 


795  (24) 

Chapter 10 Activity: Recognizing Linear and Quadratic Models 


806  (1) 

Chapter 10 Vocabulary Check 


807  (1) 


807  (4) 


811  (4) 


815  (2) 


817  (2) 

Exponential and Logarithmic Functions 


819  (82) 


820  (1) 


821  (6) 


827  (10) 


837  (10) 


847  (10) 


857  (10) 

Integrated ReviewFunctions and Properties of Logarithms 


865  (2) 

Common Logarithms, Natural Logarithms, and Change of Base 


867  (8) 

Exponential and Logarithmic Equations and Problem Solving 


875  (26) 

Chapter 11 Activity: Modeling Temperature 


884  (1) 

Chapter 11 Vocabulary Check 


885  (1) 


885  (4) 


889  (6) 


895  (4) 


899  (2) 


901  (66) 


902  (1) 

The Parabola and the Circle 


903  (16) 

The Ellipse and the Hyperbola 


919  (12) 

Integrated ReviewGraphing Conic Sections 


929  (2) 

Graphing Nonlinear Functions 


931  (6) 

Solving Nonlinear Systems of Equations 


937  (6) 

Nonlinear Inequalities and Systems of Inequalities 


943  (24) 

Chapter 12 Activity: Modeling Conic Sections 


950  (1) 

Chapter 12 Vocabulary Check 


951  (1) 


951  (4) 


955  (6) 


961  (4) 


965  (2) 
Appendix A Transition Review: Exponents, Polynomials, and Factoring Strategies 

967  (6) 
Appendix B Transition Review: Solving Linear and Quadratic Equations 

973  (6) 
Appendix C An Introduction to Using a Graphing Utility 

979  (6) 
Appendix D Sets and Compound Inequalities 

985  (6) 
Appendix E Absolute Value Equations and Inequalities 

991  (10) 
Appendix F Determinants and Cramer's Rule 

1001  (8) 
Appendix G Review of Geometric Figures 

1009  (2) 
Appendix H Review of Angles, Lines, and Special Triangles 

1011  
Answers to Selected Exercises 

A1  
Solutions to Selected Exercises 

A55  
Index 

I1  
Photo Credits 

114  