Preface 

viii  

PART I Foundations: Getting Ready for Algebra 



Operations on Real Numbers and Algebraic Expressions 


1  (73) 


2  (6) 

The Number Systems and the Real Number Line 


8  (10) 

Adding, Subtracting, Multiplying, and Dividing Integers 


18  (10) 

Adding, Subtracting, Multiplying, and Dividing Rational Numbers Expressed as Fractions and Decimals 


28  (13) 

Putting the Concepts Together (Sections 1.21.4) 


40  (1) 

Properties of Real Numbers 


41  (8) 

Exponents and the Order of Operations 


49  (8) 

Simplifying Algebraic Expressions 


57  (17) 

Chapter 1 Activity: The Math Game 


65  (1) 


66  (7) 


73  (1) 

PART II Developing Algebraic Skills Using One Unknown 



Equations and Inequalities in One Variable 


74  (99) 

Linear Equations: The Addition and Multiplication Properties of Equality 


75  (9) 

Linear Equations: Using the Properties Together 


84  (9) 

Solving Linear Equations Involving Fractions and Decimals; Classifying Equations 


93  (10) 

Evaluating Formulas and Solving Formulas for a Variable 


103  (14) 

Putting the Concepts Together (Sections 2.12.4) 


116  (1) 

Introduction to Problem Solving: Direct Translation Problems 


117  (14) 

Problem Solving: Direct Translation Problems Involving Percent 


131  (8) 

Problem Solving: Geometry and Uniform Motion 


139  (11) 

Solving Linear Inequalities in One Variable 


150  (23) 

Chapter 2 Activity: Pass to the Right 


163  (1) 


164  (7) 


171  (2) 

Exponents and Polynomials 


173  (64) 

Adding and Subtracting Polynomials 


174  (10) 

Multiplying Monomials: The Product and Power Rules 


184  (6) 


190  (11) 

Dividing Monomials: The Quotient Rule and Integer Exponents 


201  (12) 

Putting the Concepts Together (Sections 3.13.4) 


213  (1) 


213  (8) 

Applying Exponent Rules: Scientific Notation 


221  (16) 

Chapter 3 Activity: What Is the Question? 


228  (2) 


230  (4) 


234  (1) 

Cumulative Review Chapters 13 


235  (2) 


237  (67) 

Greatest Common Factor and Factoring by Grouping 


238  (10) 

Factoring Trinomials of the Form x2 + bx + c 


248  (9) 

Factoring Trinomials of the Form ax2 + bx + c, a ≠ 1 


257  (9) 

Factoring Special Products 


266  (8) 

Summary of Factoring Techniques 


274  (7) 

Putting the Concepts Together (Sections 4.14.5) 


280  (1) 

Solving Polynomial Equations by Factoring 


281  (9) 

Modeling and Solving Problems with Quadratic Equations 


290  (14) 

Chapter 4 Activity: Which One Does Not Belong? 


298  (1) 


299  (4) 


303  (1) 

Rational Expressions and Equations 


304  (88) 

Simplifying Rational Expressions 


305  (8) 

Multiplying and Dividing Rational Expressions 


313  (9) 

Adding and Subtracting Rational Expressions with a Common Denominator 


322  (7) 

Finding the Least Common Denominator and Forming Equivalent Rational Expressions 


329  (8) 

Adding and Subtracting Rational Expressions with Unlike Denominators 


337  (11) 

Complex Rational Expressions 


348  (9) 

Putting the Concepts Together (Sections 5.15.6) 


356  (1) 


357  (12) 

Models Involving Rational Equations 


369  (23) 

Chapter 5 Activity: Correct the Quiz 


383  (1) 


384  (5) 


389  (2) 

Cumulative Review Chapters 15 


391  (1) 


392  (65) 

Introduction to Square Roots 


393  (7) 


400  (8) 

Adding and Subtracting Square Roots 


408  (5) 

Multiplying Expressions with Square Roots 


413  (8) 

Dividing Expressions with Square Roots 


421  (9) 

Putting the Concepts Together (Sections 6.16.5) 


429  (1) 

Solving Equations Containing Square Roots 


430  (10) 

Higher Roots and Rational Exponents 


440  (17) 

Chapter 6 Activity: Working Together with Radicals 


450  (1) 


450  (5) 


455  (2) 


457  (62) 

Solving Quadratic Equations Using the Square Root Property 


458  (10) 

Solving Quadratic Equations by Completing the Square 


468  (8) 

Solving Quadratic Equations Using the Quadratic Formula 


476  (15) 

Putting the Concepts Together (Sections 7.17.3) 


490  (1) 

Problem Solving Using Quadratic Equations 


491  (9) 

The Complex Number System 


500  (19) 

Chapter 7 Activity: The Math Game 


511  (1) 


512  (4) 


516  (1) 

Cumulative Review Chapters 17 


517  (2) 

PART III Developing Algebraic Skills Using Two Unknowns 



Introduction to Graphing and Equations of Lines 


519  (97) 

The Rectangular Coordinate System and Equations in Two Variables 


520  (16) 

Graphing Equations in Two Variables 


536  (15) 


551  (11) 

SlopeIntercept Form of a Line 


562  (10) 

PointSlope Form of a Line 


572  (8) 

Parallel and Perpendicular Lines 


580  (10) 

Putting the Concepts Together (Sections 8.18.6) 


589  (1) 


590  (7) 

Linear Inequalities in Two Variables 


597  (19) 

Chapter 8 Activity: Graphing Practice 


606  (1) 


607  (8) 


615  (1) 

Systems of Linear Equations and Inequalities 


616  (72) 

Solving Systems of Linear Equations by Graphing 


617  (12) 

Solving Systems of Linear Equations Using Substitution 


629  (11) 

Solving Systems of Linear Equations Using Elimination 


640  (11) 

Putting the Concepts Together (Sections 9.19.3) 


650  (1) 

Solving Direct Translation, Geometry, and Uniform Motion Problems Using Systems of Linear Equations 


651  (7) 

Solving Mixture Problems Using Systems of Linear Equations 


658  (12) 

Systems of Linear Inequalities 


670  (18) 

Chapter 9 Activity: Find the Numbers 


678  (1) 


678  (7) 


685  (1) 

Cumulative Review Chapters 19 


686  (2) 

Graphs of Quadratic Equations in Two Variables and an Introduction to Functions 


688  

Quadratic Equations in Two Variables 


689  (14) 


703  (8) 

Putting the Concepts Together (Sections 10.110.2) 


710  (1) 

An Introduction to Functions 


711  

Chapter 10 Activity: Discovering Shifting 


721  (1) 


721  (5) 


726  
Appendix A: Fractions, Decimals, and Percents 

1  (1) 
Appendix B: Table of Square Roots 

1  (1) 
Appendix C: Geometry Review 

1  (1) 
Answers to Quick Check Exercises 

1  (1) 
Answers to Selected Exercises 

1  (1) 
Applications Index 

1  (1) 
Subject Index 

1  (1) 
Photo Credits 

1  