Chapter 1 Tool of Algebra 



2  (2) 

11 Properties of Real Numbers 


4  (8) 

Investigation: Exploring Pi, 


11  (1) 

12 Algebraic Expressions 


12  (6) 


18  (6) 

Technology: Spreadsheets, 


25  


24  (2) 


26  (7) 

Reading Math: Reading an Example, 


32  (1) 

15 Absolute Value Equations and Inequalities 


33  (5) 


38  (1) 


39  (7) 



TestTaking Strategies: Writing Gridded Responses, 


46  (1) 


47  (3) 


50  (1) 

Standardized Test Prep: Reading Comprehension, 


51  (1) 
Chapter 2 Functions, Equations, and Graphs 



52  (3) 

21 Relations and Functions 


55  (7) 

Algebra 1 Review: The Coordinate Plane, 


54  (8) 


62  (10) 

Extension: Piecewise Functions, 


71  (1) 


72  (5) 


77  (1) 


78  (8) 

Technology: Finding a Line of Best Fit, 


85  (1) 

25 Absolute Value Functions and Graphs 


86  (5) 

26 Vertical and Horizontal Translations 


91  (8) 


98  (1) 

27 TwoVariable Inequalities 


99  (7) 

Reading Math: Reading for Problem Solving, 


105  (1) 



TestTaking Strategies: Writing Short Responses, 


106  (1) 


107  (3) 


110  (1) 

Standardized Test Prep: Cumulative Review, 


111  (1) 

RealWorld Snapshots: Applying Variation 


112  (2) 
Chapter 3 Linear systems 



114  (2) 

31 Graphing Systems of Equations 


116  (7) 

Extension: Parametric Equations, 


122  (1) 

32 Solving Systems Algebraically 


123  (7) 

Reading Math: Reading for Problem Solving, 


129  (1) 

33 Systems of Inequalities 


130  (4) 


134  (1) 


135  (7) 

Technology: Linear Programming, 


141  (1) 

35 Graphs in Three Dimensions 


142  (5) 


147  (1) 

36 Systems with Three Variables 


148  (8) 



TestTaking Strategies: Writing Extended Responses, 


156  (1) 


157  (3) 


160  (1) 

Standardized Test Prep: Reading Comprehension, 


161  (1) 
Chapter 4 Matrices 



162  (2) 

41 Organizing Data Into Matrices 


164  (6) 

42 Adding and Subtracting Matrices 


170  (8) 

Technology: Working With Matrices, 


177  (1) 

43 Matrix Multiplication 


178  (7) 


185  (2) 

44 Geometric Transformations With Matrices 


187  (8) 

Geometry Review: Geometric Transformations, 


186  (9) 

45 2x2 Matrices, Determinants, and Inverses 


195  (7) 

46 3x3 Matrices, Determinants, and Inverses 


202  (5) 


208  


207  (3) 

47 Inverse Matrices and Systems 


210  (7) 

Reading Math: Reading for Problem Solving, 


216  (1) 

48 Augmented Matrices and Systems 


217  (7) 



TestTaking Strategies: Making Quantitative Comparisons, 


224  (1) 


225  (3) 


228  (1) 

Standardized Test Prep: Cumulative Review, 


229  (1) 

RealWorld Snapshots: Applying Inequalities 


230  (2) 
Chapter 5 Quadratic Equations and Functions 



232  (2) 

51 Modeling Data with Quadratic Functions 


234  (7) 

Technology: Modeling Using Residuals, 


240  (1) 

52 Properties of Parabolas 


241  (7) 

53 Translating Parabolas 


248  (6) 


254  (1) 

54 Factoring Quadratic Expressions 


255  (8) 


263  (7) 

Algebra 1 Review: square Roots and Radicals, 


262  (7) 

Extension: Quadratic Inequalities, 


269  (1) 


270  (6) 


276  (2) 

57 Completing the Square 


278  (7) 

Investigation: Completing the Square, 


277  (7) 

Reading Math: Reading Formulas, 


284  (1) 

58 The Quadratic Formula 


285  (7) 



TestTaking strategies: Using a Variable, 


292  (1) 


293  (3) 


296  (1) 

Standardized Test Prep: Reading Comprehension, 


297  (1) 
Chapter 6 Polynomials and Polynomial Functions 



298  (2) 


300  (7) 


306  (1) 

62 Polynomials and Linear Factors 


307  (7) 


314  (6) 


320  (1) 

64 Solving Polynomial Equations 


321  (8) 

Reading Math: Reading for Problem Solving, 


327  (1) 

Extension: Descartes's Rule of Signs, 


328  (1) 

65 Theorems about Roots of Polynomial Equations 


329  (6) 

66 The Fundamental Theorem of Algebra 


335  (4) 

67 Permutations and Combinations 


339  (6) 


345  (2) 


347  (5) 

Investigation: Pascal's Triangle, 


346  (6) 



TestTaking Strategies: Drawing a Diagram, 


352  (1) 


353  (3) 


356  (1) 

Standardized Test Prep: Cumulative Review, 


357  (1) 

RealWorld Snapshots: Applying Quadratic Functions 


358  (2) 
Chapter 7 Radical Functions and Rational Exponents 



360  (3) 

71 Roots and Radical Expressions 


363  (5) 

Algebra 1 Review: Properties of Exponents, 


362  (6) 

72 Multiplying and Dividing Radical Expressions 


368  (6) 

73 Binomial Radical Expressions 


374  (4) 


378  (1) 


379  (6) 

75 Solving Radical Equations 


385  (7) 

Geometry Review: Radical Expressions in Formulas, 


391  (1) 


392  (6) 

Reading Math: Reading Mathematical Symbols, 


399  


398  (2) 

77 Inverse Relations and Functions 


400  (8) 

Technology: Graphing Inverses, 


407  (1) 

78 Graphing Radical Functions 


408  (6) 



TestTaking Strategies: Finding Multiple Correct Answers, 


414  (1) 


415  (3) 


418  (1) 

Standardized Test Prep: Reading Comprehension, 


419  (1) 
Chapter 8 Exponential and Logarithmic Functions 



420  (2) 

81 Exploring Exponential Models 


422  (9) 

Technology: Fitting Exponential Curves to Data, 


430  (1) 

82 Properties of Exponential Functions 


431  (6) 


437  (1) 

83 Logarithmic Functions as Inverses 


438  (8) 

Reading Math: Reading Data, 


445  (1) 

84 Properties of Logarithms 


446  (7) 

Technology: Verifying Properties of Logarithms, 


452  (1) 

85 Exponential and Logarithmic Equations 


453  (7) 

Technology: Linear and Exponential Models, 


461  


460  (2) 


462  (6) 



TestTaking Strategies: Testing Multiple Choices, 


468  (1) 


469  (3) 


472  (1) 

Standardized Test Prep: Cumulative Review, 


473  (1) 

RealWorld Snapshots: Applying Exponential Functions 


474  (2) 
Chapter 9 Rational Functions 



476  (2) 


478  (7) 

Technology: Graphing Rational Functions, 


484  (1) 

92 Graphing Inverse Variations 


485  (6) 

93 Rational Functions and Their Graphs 


491  (7) 


498  (1) 


499  (5) 

95 Adding and Subtracting Rational Expressions 


504  (6) 


510  (2) 

96 Solving Rational Equations 


512  (7) 

Investigation: Extraneous Solutions, 


511  (7) 

Reading Math: Reading for Problem Solving, 


518  (1) 

97 Probability of Multiple Events 


519  (7) 



TestTaking Strategies: Eliminating Answers, 


526  (1) 


527  (3) 


530  (1) 

Standardized Test Prep: Reading Comprehension, 


531  (1) 
Chapter 10 Quadratic Relations 



532  (3) 

101 Exploring Conic Sections 


535  (8) 

Investigation: Conic Sections, 


534  (8) 

Technology: Graphing Conic Sections, 


542  (1) 


543  (6) 


549  (5) 

Extension: Using Parametric Form, 


555  


554  (2) 


556  (6) 


562  (6) 

Reading Math: Reading for Problem Solving, 


569  


568  (2) 

106 Translating Conic Sections 


570  (8) 

Extension: Solving Quadratic Systems, 


577  (1) 



TestTaking Strategies: Choosing Cannot Be Determined, 


578  (1) 


579  (3) 


582  (1) 

Standardized Test Prep: Cumulative Review, 


583  (1) 

RealWorld Snapshots: Applying Conic Sections 


584  (2) 
Chapter 11 Sequences and Series 



586  (2) 

111 Mathematical Patterns 


588  (6) 

112 Arithmetic Sequences 


594  (6) 

Extension: The Fibonacci Sequence, 


599  (1) 


600  (5) 

Reading Math: Reading for Problem Solving, 


606  


605  (2) 


607  (7) 


614  (5) 

Investigation: Geometry and Infinite Series, 


613  (7) 

Extension: Mathematical Induction, 


620  


619  (4) 


623  (5) 

Technology: Evaluating Series, 


622  (6) 



TestTaking Strategies: Using Estimation, 


628  (1) 


629  (3) 


632  (1) 

Standardized Test Prep: Reading Comprehension, 


633  (1) 
Chapter 12 Probability and Statistics 



634  (2) 

121 Probability Distributions 


636  (6) 

122 Conditional Probability 


642  (6) 

Extension: Comparing Conditional Probabilities, 


647  (1) 


648  (7) 


655  (1) 


656  (7) 

125 Working with Samples 


663  (8) 

Reading Math: Reading Math Vocabulary, 


670  (1) 

126 Binomial Distributions 


671  (6) 


677  (1) 

127 Normal Distributions 


678  (8) 

Technology: Area Under a Curve, 


685  (1) 



TestTaking Strategies: Answering the Question Asked, 


686  (1) 


687  (3) 


690  (1) 

Standardized Test Prep: Cumulative Review, 


691  (1) 

RealWorld Snapshots: Applying Sequences 


692  (2) 
Chapter 13 Periodic Functions and Trigonometry 



694  (2) 

131 Exploring Periodic Data 


696  (8) 

132 Angles and the Unit Circle 


704  (8) 

Geometry Review: Special Right Triangles, 


703  (9) 


712  (7) 

Investigation: Measuring Radians, 


711  (8) 


719  (1) 


720  (9) 

Technology: Graphing Trigonometric Functions, 


728  (1) 


729  (6) 

136 The Tangent Function 


735  (7) 

Reading Math: Reading a Graph, 


741  (1) 

137 Translating Sine and Cosine Functions 


742  (6) 


748  (1) 

138 Reciprocal Trigonometric Functions 


749  (7) 



TestTaking Strategies: Using Mental Math, 


756  (1) 


757  (3) 


760  (1) 

Standardized Test Prep: Reading Comprehension, 


761  (1) 
Chapter 14 Trigonometric Identities and Equations 



762  (2) 

141 Trigonometric Identities 


764  (5) 

142 Solving Trigonometric Equations Using Inverses 


769  (9) 

Extension: Lissajous Figures, 


777  (1) 

143 Right Triangles and Trigonometric Ratios 


778  (7) 

Reading Math: Reading a Diagram, 


786  


785  (2) 

144 Area and The Law of Sines 


787  (7) 

Extension: The Ambiguous Case, 


793  (1) 


794  (6) 


800  (6) 


806  (1) 

147 DoubleAngle and HalfAngle Identities 


807  (5) 



TestTaking Strategies: Answering OpenEnded Questions, 


812  (1) 


813  (3) 


816  (1) 

Standardized Test Prep: Cumulative Review, 


817  (3) 

RealWorld Snapshots: Applying Trigonometry 


820  (2) 
Extra Practice 

822  (14) 
Skills Handbook 



836  (1) 


837  (1) 

Look for a Pattern and Make a Table 


838  (1) 


839  (1) 


840  (1) 


841  (1) 

Percents and Percent Applications 


842  (1) 

Operations with Fractions 


843  (1) 


844  (1) 

Simplifying Expressions with Integers 


845  (1) 

Valuating Formulas and Solving Literal Equations 


846  (1) 


847  (1) 

The Coordinate Plane, Midpoint, and Slope 


848  (1) 

Solving Linear Equations and Inequalities 


849  (1) 

Absolute Value Equations and Inequalities 


850  (1) 

Graphing TwoVariable Equations and Inequalities 


851  (1) 

Operations with Exponents 


852  (1) 

Factoring and Operations with Polynomials 


853  (1) 

Scientific Notation and Significant Digits 


854  (1) 


855  (1) 

The Pythagorean Theorem and the Distance Formula 


856  (1) 

Bar Graphs and Circle Graphs 


857  (1) 

Descriptive Statistics and Histograms 


858  (1) 

Operations with Rational Expressions 


859  (1) 
Tables 



860  (1) 


861  (1) 


862  (1) 


863  (1) 


864  (1) 
Properties and Formulas 

865  (6) 
English/Spanish Illustrated Glossary 

871  (43) 
Answers to Instant Check System™ 

914  (29) 
Selected Answers 

943  (39) 
Index 

982  (14) 
Acknowledgments 

996  