Preface 

x  
User's Guide 

xiv  


1  (60) 


2  (10) 

Sets: A ProblemSolving Tool 


12  (10) 


22  (9) 


31  (8) 

The Number of Elements in a Set: A ProblemSolving Tool 


39  (10) 


49  (12) 


54  (1) 


55  (1) 


56  (2) 


58  (3) 


61  (70) 


62  (10) 

Truth Tables: A ProblemSolving Tool 


72  (11) 

The Conditional and the Biconditional 


83  (8) 

Variations of the Conditional and Implications 


91  (8) 


99  (7) 

Truth Tables and Validity of Arguments 


106  (11) 

Switching Networks: A ProblemSolving Tool 


117  (14) 


123  (1) 


124  (1) 


125  (2) 


127  (4) 


131  (46) 

Egyptian, Babylonian, and Roman Numeration Systems 


132  (10) 

TheHinduArbic (Decimal) System 


142  (7) 

Number Systems with Bases Othr Than 10 


149  (9) 


158  (7) 

Octal and Hexadecimal Arithmetic 


165  (12) 


172  (1) 


173  (1) 


173  (1) 


174  (3) 

Number Theory and the Real Numbers 


177  (94) 


178  (14) 

The Whole Numbers and the Integers 


192  (12) 


204  (11) 


215  (14) 

Rational Numbers as Decimals: Percents 


229  (9) 


238  (10) 


248  (7) 


255  (16) 


264  (2) 


266  (1) 


266  (3) 


269  (2) 

Equations, Inequalities, and Problem Solving 


271  (68) 

Solutions of FirstDegree Sentences 


272  (15) 

Graphs of Algebraic Sentences 


287  (6) 

Sentences Involving Absolute Values 


293  (6) 


299  (12) 

Modeling and Problem Solving 


311  (12) 

Ratio, Proportioin, and Variation 


323  (16) 


333  (2) 


335  (1) 


335  (2) 


337  (2) 


339  (100) 

Graphing Relations and Functions 


340  

Linear Functions and Reltions 


253  (109) 


362  (14) 

Quadratic Functions and Their Graphs 


376  (13) 

Exponential and Logarithmic functions 


389  (14) 

Two Linear Equations in Two Variables 


403  (9) 


412  (9) 


421  (18) 


430  (1) 


431  (1) 


432  (2) 


434  (5) 


439  (84) 

Points, Lines, and Angles 


440  (13) 

Triangles and Other Polygons 


453  (13) 

Perimeter and Circumference 


466  (7) 

Area Measure and the Pythaorean Theorem 


473  (12) 


485  (9) 

Networks, NonEuclidean Geometry, and Topology 


494  (12) 


506  (17) 


512  (5) 


517  (1) 


518  (2) 


520  (3) 

Mathematical Systems and Matrices 


523  (70) 


524  (13) 

Solving Systems of Liner Equations with Matrices 


537  (12) 

Clock and Modular Arithmetic 


549  (13) 

Abstract Mathematical Systems: Groups an Fields 


562  (12) 


574  (19) 


584  (1) 


585  (1) 


586  (4) 


590  (3) 


593  (46) 

The Sequential Counting Principle (SCP): A ProblemSolving Tool 


594  (13) 


607  (9) 


616  (9) 

Miscellaneous Counting Methods 


625  (14) 


633  (1) 


634  (1) 


635  (1) 


636  (3) 


639  (64) 

Sample Spaces and Probability 


640  (11) 

Counting Techniques and Probability 


651  (10) 

Computation of Probabilties 


661  (8) 


669  (8) 


677  (10) 

Odds and Mathematical Expectation 


687  (16) 


698  


689  (11) 


700  (2) 


702  (1) 


703  (82) 

Sampling and Frequency Distributions 


704  (16) 

Measures of Central Tendency: The Mean, Median, and Mode 


720  (12) 

Measures of Dispersion: The Range and Standard Deviation 


732  (8) 

The Normal Distribution: A ProblemSolving Tool 


740  (12) 

Statistical Graphs: A ProblemSolving Tool 


752  (11) 


763  (10) 

Scattergrams and Correlation 


773  (12) 


778  (1) 


779  (1) 


780  (3) 


783  (2) 


785  

Interest, Taxes, and Discounts 


786  (11) 

Credit Cards and Consumer Credit 


797  (9) 

Annual Percentage Rate (APR) and the Rule of 78 


806  (8) 


814  


823  (1) 


824  (1) 


824  (2) 


826  
Appendix The Metric System 


A.1 Metric Units of Measurement 


A1  (1) 


A10  (1) 
Answers to OddNumbered Problems 

A17  (1) 
Research Bibliography 

A62  (1) 
Acknowledgments 

A64  (1) 
Photo Credits 

A66  (1) 
Index 

A67  