
Basic Algebraic Operations 


1  (47) 


2  (4) 

Fundamental Operations of Algebra 


6  (4) 

Calculators and Approximate Numbers 


10  (6) 


16  (5) 


21  (3) 


24  (2) 

Addition and Subtraction of Algebraic Expressions 


26  (3) 

Multiplication of Algebraic Expressions 


29  (2) 

Division of Algebraic Expressions 


31  (3) 


34  (4) 

Formulas and Literal Equations 


38  (3) 


41  (7) 

Chapter Equations, Review Exercises, and Practice Test 


45  (3) 


48  (29) 


48  (4) 


52  (6) 


58  (4) 


62  (3) 

Measurement of Irregular Areas 


65  (4) 


69  (8) 

Chapter Equations, Review Exercises, and Practice Test 


73  (4) 


77  (27) 

Introduction to Functions 


77  (4) 


81  (5) 


86  (2) 


88  (5) 

Graphs on the Graphing Calculator 


93  (4) 

Graphs of Functions Defined by Tables of Data 


97  (7) 

Review Exercises and Practice Test 


101  (3) 

The Trigonometric Functions 


104  (25) 


104  (3) 

Defining the Trigonometric Functions 


107  (5) 

Values of the Trigonometric Functions 


112  (4) 


116  (4) 

Applications of Right Triangles 


120  (9) 

Chapter Equations, Review Exercises, and Practice Test 


124  (5) 

Systems of Linear Equations; Determinants 


129  (37) 


129  (3) 

Graphs of Linear Functions 


132  (4) 

Solving Systems of Two Linear Equations in Two Unknowns Graphically 


136  (4) 

Solving Systems of Two Linear Equations in Two Unknowns Algebraically 


140  (7) 

Solving Systems of Two Linear Equations in Two Unknowns by Determinants 


147  (5) 

Solving Systems of Three Linear Equations in Three Unknowns Algebraically 


152  (5) 

Solving Systems of Three Linear Equations in Three Unknowns by Determinants 


157  (9) 

Chapter Equations, Review Exercises, and Practice Test 


162  (4) 


166  (36) 


166  (4) 

Factoring: Common Factor and Difference of Squares 


170  (4) 


174  (6) 

The Sum and Difference of Cubes 


180  (1) 


181  (5) 

Multiplication and Division of Fractions 


186  (3) 

Addition and Subtraction of Fractions 


189  (6) 

Equations Involving Fractions 


195  (7) 

Chapter Equations, Review Exercises, and Practice Test 


199  (3) 


202  (19) 

Quadratic Equations; Solution by Factoring 


202  (5) 


207  (3) 


210  (4) 

The Graph of the Quadratic Function 


214  (7) 

Chapter Equations, Review Exercises, and Practice Test 


218  (3) 

Trigonometric Functions of Any Angle 


221  (22) 

Signs of the Trigonometric Functions 


221  (3) 

Trigonometric Functions of Any Angle 


224  (6) 


230  (5) 

Applications of Radian Measure 


235  (8) 

Chapter Equations, Review Exercises, and Practice Test 


240  (3) 

Vectors and Oblique Triangles 


243  (33) 


243  (5) 


248  (4) 

Vector Addition by Components 


252  (5) 


257  (4) 

Oblique Triangles, the Law of Sines 


261  (7) 


268  (8) 

Chapter Equations, Review Exercises, and Practice Test 


272  (4) 

Graphs of the Trigonometric Functions 


276  (24) 

Graphs of y = a sin x and y = a cos x 


276  (4) 

Graphs of y = a sin bx and y = a cos bx 


280  (3) 

Graphs of y = a sin(bx + c) and y = a cos(bx + c) 


283  (4) 

Graphs of y = tan x, y = cot x, y = sec x, y = csc x 


287  (3) 

Applications of the Trigonometric Graphs 


290  (3) 

Composite Trigonometric Curves 


293  (7) 

Chapter Equations, Review Exercises, and Practice Test 


297  (3) 


300  (21) 

Simplifying Expressions with Integral Exponents 


300  (5) 


305  (4) 


309  (3) 

Addition and Subtraction of Radicals 


312  (3) 

Multiplication and Division of Radicals 


315  (6) 

Chapter Equations, Review Exercises, and Practice Test 


319  (2) 


321  (30) 


321  (4) 

Basic Operations with Complex Numbers 


325  (3) 

Graphical Representation of Complex Numbers 


328  (2) 

Polar Form of a Complex Number 


330  (3) 

Exponential Form of a Complex Number 


333  (3) 

Products, Quotients, Powers, and Roots of Complex Numbers 


336  (6) 

An Application to AlternatingCurrent (ac) Circuits 


342  (9) 

Chapter Equations, Review Exercises, and Practice Test 


348  (3) 

Exponential and Logarithmic Functions 


351  (28) 

The Exponential and Logarithmic Functions 


351  (3) 

Graphs of y = bx and y = logbx 


354  (4) 


358  (4) 

Logarithms to the Base 10 


362  (3) 


365  (3) 

Exponential and Logarithmic Equations 


368  (4) 

Graphs on Logarithmic and Semilogarithmic Paper 


372  (7) 

Chapter Equations, Review Exercises, and Practice Test 


376  (3) 

Additional Types of Equations and Systems of Equations 


379  (17) 

Graphical Solution of Systems of Equations 


379  (4) 

Algebraic Solution of Systems of Equations 


383  (3) 

Equations in Quadratic Form 


386  (4) 


390  (6) 

Review Exercises and Practice Test 


393  (3) 

Equations of Higher Degree 


396  (20) 

The Remainder Theorem and the Factor Theorem 


396  (3) 


399  (4) 


403  (5) 

Rational and Irrational Roots 


408  (8) 

Chapter Equations, Review Exercises, and Practice Test 


414  (2) 

Determinants and Matrices 


416  (33) 

Determinants: Expansion by Minors 


416  (6) 

Some Properties of Determinants 


422  (4) 

Matrices: Definitions and Basic Operations 


426  (4) 

Multiplication of Matrices 


430  (5) 

Finding the Inverse of a Matrix 


435  (5) 

Matrices and Linear Equations 


440  (9) 

Chapter Equations, Review Exercises, and Practice Test 


444  (5) 


449  (26) 

Properties of Inequalities 


449  (5) 

Solving Linear Inequalities 


454  (5) 

Solving Nonlinear Inequalities 


459  (6) 

Inequalities Involving Absolute Values 


465  (3) 

Graphical Solution of Inequalities with Two Variables 


468  (7) 

Chapter Equations, Review Exercises, and Practice Test 


473  (2) 


475  (14) 


475  (5) 


480  (9) 

Chapter Equations, Review Exercises, and Practice Test 


485  (4) 

Sequences and the Binomial Theorem 


489  (20) 


489  (6) 


495  (3) 

Infinite Geometric Series 


498  (4) 


502  (7) 

Chapter Equations, Review Exercises, and Practice Test 


506  (3) 

Additional Topics in Trigonometry 


509  (34) 

Fundamental Trigonometric Identities 


510  (7) 

The Sum and Difference Formulas 


517  (5) 


522  (3) 


525  (4) 

Solving Trigonometric Equations 


529  (4) 

The Inverse Trigonometric Functions 


533  (10) 

Chapter Equations, Review Exercises, and Practice Test 


539  (4) 


543  (48) 


543  (5) 


548  (6) 


554  (4) 


558  (5) 


563  (5) 


568  (6) 


574  (3) 

The SecondDegree Equation 


577  (3) 


580  (3) 

Curves in Polar Coordinates 


583  (8) 

Chapter Equations, Review Exercises, and Practice Test 


586  (5) 

Introduction to Statistics 


591  (36) 


592  (4) 

Measures of Central Tendency 


596  (4) 


600  (4) 


604  (5) 

Statistical Process Control 


609  (5) 


614  (5) 


619  (8) 

Chapter Equations, Review Exercises, and Practice Test 


623  (4) 
SUPPLEMENTARY TOPICS 

627  


627  


630  
APPENDIX A STUDY AIDS 

A1  


A1  

A2 Suggestions for Study 


A2  

A3 Solving Word Problems 


A3  
APPENDIX B UNITS OF MEASUREMENT; THE METRIC SYSTEM 

A4  


A4  

B2 Reductions and Conversions 


A7  
APPENDIX C THE GRAPHING CALCULATOR 

A10  


A10  

C2 The Graphing Calculator 


A10  

C3 Graphing Calculator Programs 


A14  
Answers to OddNumbered Exercises 

B1  
Solutions to Practice Test Problems 

C1  
Index of Applications 

D1  
Index of Writing Exercises 

D10  
Index 

D12  