Index of Applications 

xiii  
Index of Study Tips 

xvii  
Preface 

xix  




2  (6) 


8  (11) 


19  (8) 


27  (6) 

Exponential Notation and Order of Operations 


33  (6) 


39  (19) 


51  (4) 


55  (3) 

Introduction to Real Numbers and Algebraic Expressions 




58  (8) 


66  (12) 


78  (8) 

Subtraction of Real Numbers 


86  (7) 

Multiplication of Real Numbers 


93  (7) 


100  (9) 

Properties of Real Numbers 


109  (13) 

Simplifying Expressions; Order of Operations 


122  (16) 


132  (3) 


135  (3) 

Solving Equations and Inequalities 



Solving Equations: The Addition Principle 


138  (6) 

Solving Equations: The Multiplication Principle 


144  (6) 

Using the Principles Together 


150  (12) 


162  (8) 


170  (8) 

Applications and Problem Solving 


178  (17) 


189  (6) 


195  (12) 

Applications and Problem Solving with Inequalities 


207  (17) 


215  (3) 


218  (2) 

Cumulative Review: Chapters 12 


220  (4) 

Graphs of Linear Equations 



Graphs and Applications of Linear Equations 


224  (19) 

More with Graphing and Intercepts 


243  (12) 


248  (7) 


255  (12) 


267  (6) 

Graphing Using the Slope and the yIntercept 


273  (7) 

Parallel and Perpendicular Lines 


280  (5) 

Graphing Inequalities in Two Variables 


285  (19) 


290  (3) 


293  (6) 


299  (5) 




304  (10) 

Exponents and Scientific Notation 


314  (13) 

Introduction to Polynomials 


327  (14) 

Addition and Subtraction of Polynomials 


341  (8) 

Multiplication of Polynomials 


349  (7) 


356  (11) 


362  (5) 

Operations with Polynomials in Several Variables 


367  (9) 


376  (16) 


383  (3) 


386  (2) 

Cumulative Review: Chapters 14 


388  (4) 



Introduction to Factoring 


392  (9) 

Factoring Trinomials of the Type x2 + bx + c 


401  (10) 

Factoring ax2 + bx + c, a ≠ 1: The FOIL Method 


411  (9) 

Factoring ax2 + bx + c, a ≠ 1: The acMethod 


420  (6) 

Factoring Trinomial Squares and Differences of Squares 


426  (10) 

Factoring: A General Strategy 


436  (8) 

Solving Quadratic Equations by Factoring 


444  (9) 

Applications of Quadratic Equations 


453  (19) 


459  (7) 


466  (3) 


469  (3) 

Rational Expressions and Equations 



Multiplying and Simplifying Rational Expressions 


472  (11) 


483  (5) 

Least Common Multiples and Denominators 


488  (4) 

Adding Rational Expressions 


492  (8) 

Subtracting Rational Expressions 


500  (8) 

Solving Rational Equations 


508  (10) 

Applications Using Rational Equations and Proportions 


518  (16) 


526  (8) 

Complex Rational Expressions 


534  (6) 

Direct and Inverse Variation 


540  (20) 


551  (3) 


554  (2) 

Cumulative Review: Chapters 16 


556  (4) 



Systems of Equations in Two Variables 


560  (7) 


567  (7) 


574  (10) 

Applications and Problem Solving 


584  (13) 


597  (13) 


601  (3) 


604  (3) 


607  (3) 

Radical Expressions and Equations 



Introduction to Radical Expressions 


610  (8) 

Multiplying and Simplifying with Radical Expressions 


618  (8) 

Quotients Involving Radical Expressions 


626  (8) 

Addition, Subtraction, and More Multiplication 


634  (8) 


642  (9) 

Applications with Right Triangles 


651  (15) 


654  (3) 


657  (3) 


660  (2) 

Cumulative Review: Chapters 18 


662  (4) 



Introduction to Quadratic Equations 


666  (9) 

Solving Quadratic Equations by Completing the Square 


675  (9) 


684  (7) 


691  (6) 

Applications and Problem Solving 


697  (8) 


700  (5) 

Graphs of Quadratic Equations 


705  (8) 


709  (4) 


713  (23) 


724  (3) 


727  (2) 

Cumulative Review/Final Examination: Chapters 19 


729  (7) 



A. Factoring Sums or Differences of Cubes 


736  (4) 

B. Finding Equations of Lines: PointSlope Equation 


740  (4) 


744  (4) 


748  (4) 

E. Mean, Median, and Mode 


752  
Answers (Student Edition only) 

1  (47) 
Photo Credits 

48  
Glossary 

1  (1) 
Index 

1  