Index of Applications 

xi  
Index of Study Tips 

xvii  
Preface 

xix  

Introduction to Real Numbers and Algebraic Expressions 




2  (8) 


10  (12) 


22  (8) 

Subtraction of Real Numbers 


30  (7) 

Multiplication of Real Numbers 


37  (7) 


44  (9) 

Properties of Real Numbers 


53  (13) 

Simplifying Expressions: Order of Operations 


66  (16) 


76  (3) 


79  (3) 

Solving Equations and Inequalities 



Solving Equations: The Addition Principle 


82  (6) 

Solving Equations: The Multiplication Principle 


88  (6) 

Using the Principles Together 


94  (12) 


106  (8) 


114  (8) 

Applications and Problem Solving 


122  (17) 


133  (6) 


139  (12) 

Applications and Problem Solving with Inequalities 


151  (15) 


160  (3) 


163  (3) 

Graphs of Linear Equations 




166  (7) 

Graphing Linear Equations 


173  (13) 

More with Graphing and Intercepts 


186  (12) 


191  (7) 


198  (24) 


210  (4) 


214  (3) 

Cumulative Review: Chapters 13 


217  (5) 




222  (10) 

Exponents and Scientific Notation 


232  (13) 

Introduction to Polynomials 


245  (14) 

Addition and Subtraction of Polynomials 


259  (8) 

Multiplication of Polynomials 


267  (7) 


274  (12) 


280  (6) 

Operations with Polynomials in Several Variables 


286  (9) 


295  (13) 


302  (3) 


305  (3) 



Introduction to Factoring 


308  (9) 

Factoring Trinomials of the Type x2 + bx + c 


317  (10) 

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


327  (9) 

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


336  (6) 

Factoring Trinomial Squares and Differences of Squares 


342  (10) 

Factoring Sums or Differences of Cubes 


352  (5) 

Factoring: A General Strategy 


357  (9) 

Solving Quadratic Equations by Factoring 


366  (9) 

Applications of Quadratic Equations 


375  (19) 


381  (7) 


388  (3) 


391  (3) 

Rational Expressions and Equations 



Multiplying and Simplifying Rational Expressions 


394  (11) 


405  (5) 

Least Common Multiples and Denominators 


410  (4) 

Adding Rational Expressions 


414  (8) 

Subtracting Rational Expressions 


422  (8) 

Complex Rational Expressions 


430  (6) 

Solving Rational Equations 


436  (10) 

Applications Using Rational Equations and Proportions 


446  (16) 


454  (8) 

Variation and Applications 


462  (20) 


473  (3) 


476  (2) 

Cumulative Review: Chapters 16 


478  (4) 

Graphs, Functions, and Applications 




482  (15) 


497  (5) 

Linear Functions: Graphs and Slope 


502  (11) 

More on Graphing Linear Equations 


513  (13) 


521  (5) 

Finding Equations of Lines: Applications 


526  (22) 


540  (3) 


543  (5) 



Systems of Equations in Two Variables 


548  (9) 


557  (6) 


563  (10) 

Solving Applied Problems: Two Equations 


573  (14) 


582  (5) 

Systems of Equations in Three Variables 


587  (7) 

Solving Applied Problems: Three Equations 


594  (8) 

Business and Economics Applications 


602  (12) 


608  (3) 


611  (3) 



Sets, Inequalities, and Interval Notation 


614  (16) 


623  (7) 

Intersections, Unions, and Compound Inequalities 


630  (12) 

AbsoluteValue Equations and Inequalities 


642  (11) 

Systems of Inequalities in Two Variables 


653  (25) 


663  (3) 


666  (6) 


672  (2) 

Cumulative Review: Chapters 19 


674  (4) 

Radical Expressions, Equations, and Functions 



Radical Expressions and Functions 


678  (12) 

Rational Numbers as Exponents 


690  (7) 

Simplifying Radical Expressions 


697  (9) 

Addition, Subtraction, and More Multiplication 


706  (6) 

More on Division of Radical Expressions 


712  (5) 

Solving Radical Equations 


717  (12) 

Applications Involving Powers and Roots 


729  (7) 


731  (5) 


736  (18) 


748  (3) 


751  (3) 

Quadratic Equations and Functions 



The Basics of Solving Quadratic Equations 


754  (14) 


768  (8) 

Applications Involving Quadratic Equations 


776  (12) 


782  (6) 

More on Quadratic Equations 


788  (9) 

Graphing f(x) = a(x  h)2 + k 


797  (11) 

Graphing f(x) = ax2 + bx + c 


808  (10) 


813  (5) 

Mathematical Modeling with Quadratic Functions 


818  (14) 

Polynomial and Rational Inequalities 


832  (14) 


840  (3) 


843  (3) 

Exponential and Logarithmic Functions 




846  (14) 

Inverse and Composite Functions 


860  (18) 


878  (11) 

Properties of Logarithmic Functions 


889  (6) 

Natural Logarithmic Functions 


895  (9) 


900  (4) 

Solving Exponential and Logarithmic Equations 


904  (7) 

Mathematical Modeling with Exponential and Logarithmic Functions 


911  (29) 


920  (6) 


926  (4) 


930  (3) 

Cumulative Review/Final Examination: Chapters 112 


933  (7) 




940  (5) 


945  (9) 

C. Exponential Notation and Order of Operations 


954  (5) 

D. Review of Factoring Polynomials 


959  (9) 

E. Introductory Algebra Review 


968  (2) 

F. Handling Dimension Symbols 


970  (3) 

G. Mean, Median, and Mode 


973  (3) 


976  (3) 

I. Determinants and Cramer's Rule 


979  (5) 

J. Elimination Using Matrices 


984  (5) 

K. The Algebra of Functions 


989  (3) 

L. Distance, Midpoints, and Circles 


992  (6) 
Photo Credits 

998  
Answers (Student Edition only) 

1  (1) 
Glossary 

1  (1) 
Index 

1  