Preface 

ix  


1  (1) 

Factors and the Least Common Multiple 


3  (6) 


9  (10) 


19  

Activity: Interpreting Survey Results 


29  (1) 


30  (3) 


33  (2) 


35  

Real Numbers and Introduction to Algebra 


1  (88) 

Symbols and Sets of Numbers 


3  (10) 

Introduction to Variable Expressions and Equations 


13  (10) 


23  (8) 


31  (10) 


41  (6) 


47  (10) 

Integrated ReviewOperations on Real Numbers 


55  (2) 

Properties of Real Numbers 


57  (8) 


65  (24) 

Activity: Analyzing Wealth 


75  (1) 


76  (5) 


81  (4) 


85  (4) 

Equations, Inequalities, and Problem Solving 


89  (102) 


91  (8) 

The Addition Property of Equality 


99  (10) 

The Multiplication Property of Equality 


109  (8) 

Further Solving Linear Equations 


117  (12) 

Integrated ReviewSolving Linear Equations 


127  (2) 

An Introduction to Problem Solving 


129  (12) 

Formulas and Problem Solving 


141  (10) 

Percent, Ration, and Proportion 


151  (12) 

Linear Inequalities and Problem Solving 


163  (28) 

Activity: Investigating Averages 


177  (1) 


178  (3) 


181  (6) 


187  (2) 


189  (2) 

Graphing Equations and Inequalities 


191  (78) 

The Rectangular Coordinate System 


193  (14) 

Graphing Linear Equations 


207  (12) 


219  (12) 


231  (16) 

Integrated ReviewSummary on Linear Equations 


245  (2) 

Graphing Linear Inequalities in Two Variables 


247  (22) 

Activity: Financial Analysis 


257  (1) 


258  (3) 


261  (4) 


265  (2) 


267  (2) 

Exponents and Polynomials 


269  (82) 


271  (12) 

Negative Exponents and Scientific Notation 


283  (12) 

Introduction to Polynomials 


295  (10) 

Adding and Subtracting Polynomials 


305  (6) 


311  (6) 


317  (10) 

Integrated ReviewOperations on Polynomials 


325  (2) 


327  (24) 

Activity: Modeling with Polynomials 


337  (1) 


338  (3) 


341  (6) 


347  (2) 


349  (2) 


351  (78) 

The Greatest Common Factor 


353  (8) 

Factoring Trinomials of the Form x2 + bx + c 


361  (8) 

Factoring Trinomials of the Form ax2 1 bx 1 c 


369  (8) 

Factoring Trinomials of the Form ax2 1 bx 1 c by Grouping 


377  (6) 

Factoring Perfect Square Trinomials and the Difference of Two Squares 


383  (12) 

Integrated ReviewChoosing a Factoring Strategy 


393  (2) 

Solving Quadratic Equations by Factoring 


395  (10) 

Quadratic Equations and Problem Solving 


405  (24) 


417  (1) 


418  (3) 


421  (4) 


425  (2) 


427  (2) 


429  (82) 

Simplifying Rational Expressions 


431  (8) 

Multiplying and Dividing Rational Expressions 


439  (10) 

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


449  (8) 

Adding and Subtracting Rational Expressions with Different Denominators 


457  (8) 

Solving Equations Containing Rational Expressions 


465  (10) 

Integrated ReviewSummary on Rational Expressions 


473  (2) 

Rational Equations and Problem Solving 


475  (12) 

Simplifying Complex Fractions 


487  (24) 

Activity: Analyzing a Table 


495  (1) 


496  (5) 


501  (6) 


507  (2) 


509  (2) 


511  (74) 


513  (8) 


521  (14) 

Integrated ReviewLinear Equations in Two Variables 


533  (2) 

Introduction to Functions 


535  (14) 

Polynomial and Rational Functions 


549  (8) 

An Introduction to Graphing Polynomial Functions 


557  (28) 

Activity: Measuring Slope 


571  (1) 


572  (3) 


575  (6) 


581  (2) 


583  (2) 

Systems of Equations and Inequalities 


585  (100) 

Solving Systems of Linear Equations by Graphing 


587  (12) 

Solving Systems of Linear Equations by Substitution 


599  (10) 

Solving Systems of Linear Equations by Addition 


609  (10) 

Systems of Linear Equations and Problem Solving 


619  (12) 

Solving Systems of Linear Equations in Three Variables 


631  (12) 

Integrated ReviewSystems of Linear Equations 


641  (2) 

Solving Systems of Equations Using Matrices 


643  (6) 

Solving Systems of Equations Using Determinants 


649  (8) 

Systems of Linear Inequalities 


657  (28) 

Activity: Locating Lightning Strikes 


665  (1) 


666  (7) 


673  (8) 


681  (2) 


683  (2) 

Rational Exponents, Radicals, and Complex Numbers 


685  (80) 


687  (8) 


695  (8) 

Simplifying Radical Expressions 


703  (8) 

Adding, Subtracting, and Multiplying Radical Expressions 


711  (8) 

Rationalizing Numerators and Denominators of Radical Expressions 


719  (10) 

Integrated ReviewRadicals and Rational Exponents 


727  (2) 

Radical Equations and Problem Solving 


729  (12) 


741  (24) 

Activity: Calculating the Length and Period of a Pendulum 


751  (1) 


752  (3) 


755  (6) 


761  (2) 


763  (2) 

Quadratic Equations and Functions 


765  (86) 

Solving Quadratic Equations by Completing the Square 


767  (14) 

Solving Quadratic Equations by the Quadratic Formula 


781  (12) 

Solving Equations by Using Quadratic Methods 


793  (14) 

Integrated ReviewSummary on Solving Quadratic Equations 


805  (2) 

Nonlinear Inequalities in One Variable 


807  (6) 

Quadratic Functions and Their Graphs 


813  (14) 

Further Graphing of Quadratic Functions 


827  (24) 

Activity: Recognizing Linear and Quadratic Models 


839  (1) 


840  (3) 


843  (4) 


847  (2) 


849  (2) 

Exponential and Logarithmic Functions 


851  (74) 


853  (6) 


859  (10) 


869  (10) 


879  (8) 


887  (8) 

Integrated ReviewFunctions and Properties of Logarithms 


893  (2) 

Common Logarithms, Natural Logarithms, and Change of Base 


895  (8) 

Exponential and Logarithmic Equations and Problem Solving 


903  (22) 

Activity: Modeling Temperature 


911  (1) 


912  (3) 


915  (6) 


921  (2) 


923  (2) 


925  

The Parabola and the Circle 


927  

The Ellipse and the Hyperbola 


941  

Integrated ReviewGraphing Conic Sections 


951  

Graphing Nonlinear Functions 


953  

Solving Nonlinear Systems of Equations 


959  

Nonlinear Inequalities and Systems of Inequalities 


967  

Activity: Modeling Conic Sections 


975  


976  


979  


985  


987  
Appendix A An Introduction to Using a Graphing Utility 

A1  
Appendix B Table of Squares and Square Roots 

A8  
Appendix C Review of Angles, Lines, and Special Triangles 

A9  
Appendix D Review of Geometric Figures 

A17  
Appendix E Mean, Median, and Mode 

A19  
Appendix F Sets and Compound Inequalities 

A23  
Appendix G Absolute Value Equations and Inequalities 

A31  
Answers to Selected Exercises 

A41  
Solutions to Selected Exercises 

A91  
Index 

I1  
Photo Credits 

P1  