Preface 

vii  

Real Numbers and Algebraic Expressions 


1  (78) 

Algebraic Expressions and Sets of Numbers 


3  (10) 

Properties of Real Numbers 


13  (10) 

Operations on Real Numbers 


23  (14) 

Algebraic Expressions and Real Numbers 


35  (2) 

Order of Operations and Algebraic Expressions 


37  (10) 

Exponents and Scientific Notation 


47  (10) 

More Work with Exponents and Scientific Notation 


57  (22) 


67  (1) 


68  (3) 


71  (6) 


77  (2) 

Equations, Inequalities, and Problem Solving 


79  (88) 

Linear Equations in One Variable 


81  (10) 

An Introduction to Problem Solving 


91  (12) 

Formulas and Problem Solving 


103  (10) 

Linear Inequalities and Problem Solving 


113  (16) 

Linear Equations and Inequalities 


127  (2) 

Sets and Compound Inequalities 


129  (10) 

Absolute Value Equations and Inequalities 


139  (28) 


151  (1) 


152  (5) 


157  (6) 


163  (2) 


165  (2) 


167  (92) 

Graphing Linear Equations 


169  (16) 


185  (12) 


197  (8) 


205  (14) 

Linear Equations in Two Variables 


217  (2) 

Introduction to Functions 


219  (14) 

Graphing Linear Inequalities 


233  (26) 


241  (1) 


242  (5) 


247  (6) 


253  (4) 


257  (2) 

Systems of Equations and Inequalities 


259  (78) 

Solving Systems of Linear Equations in Two Variables 


261  (16) 

Solving Systems of Linear Equations in Three Variables 


277  (6) 

Systems of Linear Equations and Problem Solving 


283  (16) 

Systems of Linear Equations 


297  (2) 

Solving Systems of Equations Using Matrices 


299  (6) 

Solving Systems of Equations Using Determinants 


305  (8) 

Systems of Linear Inequalities 


313  (24) 

Locating Lighting Strikes 


321  (1) 


322  (7) 


329  (4) 


333  (2) 


335  (2) 

Polynomials and Polynomial Functions 


337  (102) 

Adding and Subtracting Polynomials 


339  (12) 


351  (10) 


361  (10) 

The Greatest Common Factor and Factoring by Grouping 


371  (8) 


379  (10) 

Factoring by Special Products 


389  (10) 

Operations on Polynomials and Factoring Strategies 


397  (2) 

Solving Equations by Factoring and Solving Problems 


399  (10) 

An Introduction to Graphing Polynomial Functions 


409  (30) 


423  (1) 


424  (3) 


427  (8) 


435  (2) 


437  (2) 


439  (78) 

Multiplying and Dividing Rational Expressions 


441  (12) 

Adding and Subtracting Rational Expressions 


453  (10) 

Simplifying Complex Fractions 


463  (6) 

Solving Equations Containing Rational Expressions 


469  (10) 

Expressions and Equations Containing Rational Expressions 


477  (2) 

Rational Equations and Problem Solving 


479  (12) 

Variation and Problem Solving 


491  (26) 

Estimating Population Sizes 


502  (2) 


504  (3) 


507  (6) 


513  (2) 


515  (2) 

Rational Exponents, Radicals, and Complex Numbers 


517  (80) 


519  (8) 


527  (8) 

Simplifying Radical Expressions 


535  (8) 

Adding, Subtracting, and Multiplying Radical Expressions 


543  (8) 

Rationalizing Numerators and Denominators of Radical Expressions 


551  (10) 

Radicals and Rational Exponents 


559  (2) 

Radical Equations and Problem Solving 


561  (12) 


573  (24) 

Calculating the Length and Period of a Pendulum 


583  (1) 


584  (3) 


587  (6) 


593  (2) 


595  (2) 

Quadratic Equations and Functions 


597  (86) 

Solving Quadratic Equations by Completing the Square 


599  (14) 

Solving Quadratic Equations by the Quadratic Formula 


613  (12) 

Solving Equations by Using Quadratic Methods 


625  (14) 

Summary on Solving Quadratic Equations 


637  (2) 

Nonlinear Inequalities in One Variable 


639  (6) 

Quadratic Functions and Their Graphs 


645  (14) 

Further Graphing of Quadratic Functions 


659  (24) 

Recognizing Linear and Quadratic Models 


671  (1) 


672  (3) 


675  (4) 


679  (2) 


681  (2) 


683  (64) 

The Parabola and the Circle 


685  (14) 

The Ellipse and the Hyperbola 


699  (12) 


709  (2) 

Graphing Nonlinear Functions 


711  (6) 

Solving Nonlinear Systems of Equations 


717  (8) 

Nonlinear Inequalities and Systems of Inequalities 


725  (22) 


733  (1) 


734  (3) 


737  (6) 


743  (2) 


745  (2) 

Exponential and Logarithmic Functions 


747  


749  (6) 


755  (10) 


765  (10) 


775  (8) 


783  (8) 

Functions and Properties of Logarithms 


789  (2) 

Common Logarithms, Natural Logarithms, and Changes of Base 


791  (14) 

Exponential and Logarithmic Equations and Problem Solving 


805  


807  (1) 


808  (3) 


811  (6) 


817  (2) 


819  
Appendices 

A1  (8) 
Answers to Selected Exercises 

A9  (46) 
Solutions to Selected Exercises 

A55  
Index 

I1  (1) 
Photo Credits 

P1  