
Basic Concepts of Algebra 




2  (6) 

Integer Exponents, Scientific Notation, and Order of Operations 


8  (8) 

Addition, Subtraction, and Multiplication of Polynomials 


16  (5) 


21  (8) 


29  (8) 

Radical Notation and Rational Exponents 


37  (15) 


47  (3) 


50  (2) 

Graphs, Functions, and Models 




52  (17) 


69  (15) 

Linear Functions, Slope, and Applications 


84  (12) 

Equations of Lines and Modeling 


96  (16) 


112  (13) 


125  (11) 

Symmetry and Transformations 


136  (30) 


158  (5) 


163  (3) 

Functions, Equations, and Inequalities 



Linear Equations, Functions, and Models 


166  (18) 


184  (7) 

Quadratic Equations, Functions, and Models 


191  (16) 

Analyzing Graphs of Quadratic Functions 


207  (13) 


220  (9) 

Solving Linear Inequalities 


229  (15) 


237  (3) 


240  (4) 

Polynomial and Rational Functions 



Polynomial Functions and Models 


244  (24) 

Polynomial Division: The Remainder and Factor Theorems 


268  (8) 

Theorems about Zeros of Polynomial Functions 


276  (10) 


286  (19) 

Polynomial and Rational Inequalities 


305  (9) 

Variation and Applications 


314  (16) 


322  (5) 


327  (3) 

Exponential and Logarithmic Functions 




330  (12) 

Exponential Functions and Graphs 


342  (14) 

Logarithmic Functions and Graphs 


356  (16) 

Properties of Logarithmic Functions 


372  (8) 

Solving Exponential and Logarithmic Equations 


380  (11) 

Applications and Models: Growth and Decay 


391  (21) 


406  (4) 


410  (2) 

The Trigonometric Functions 



Trigonometric Functions of Acute Angles 


412  (12) 

Applications of Right Triangles 


424  (10) 

Trigonometric Functions of Any Angle 


434  (16) 

Radians, Arc Length, and Angular Speed 


450  (16) 

Circular Functions: Graphs and Properties 


466  (16) 

Graphs of Transformed Sine and Cosine Functions 


482  (26) 


501  (4) 


505  (3) 

Trigonometric Identities, Inverse Functions, and Equations 



Identities: Pythagorean and Sum and Difference 


508  (14) 

Identities: Cofunction, DoubleAngle, and HalfAngle 


522  (9) 

Proving Trigonometric Identities 


531  (7) 

Inverses of the Trigonometric Functions 


538  (12) 

Solving Trigonometric Equations 


550  (20) 


564  (4) 


568  (2) 

Applications of Trigonometry 




570  (13) 


583  (9) 

Complex Numbers: Trigonometric Form 


592  (12) 

Polar Coordinates and Graphs 


604  (12) 


616  (9) 


625  (21) 


639  (4) 


643  (3) 

Systems of Equations and Matrices 



Systems of Equations in Two Variables 


646  (16) 

Systems of Equations in Three Variables 


662  (10) 

Matrices and Systems of Equations 


672  (9) 


681  (12) 


693  (7) 

Determinants and Cramer's Rule 


700  (9) 

Systems of Inequalities and Linear Programming 


709  (11) 


720  (16) 


726  (6) 


732  (4) 




736  (9) 

The Circle and the Ellipse 


745  (11) 


756  (10) 

Nonlinear Systems of Equations 


766  (18) 


778  (4) 


782  (2) 

Sequences, Series, and Combinatorics 




784  (9) 

Arithmetic Sequences and Series 


793  (9) 

Geometric Sequences and Series 


802  (12) 


814  (6) 

Combinatorics: Permutations 


820  (10) 

Combinatorics: Combinations 


830  (8) 


838  (8) 


846  (17) 


856  (4) 


860  (3) 
Appendix A: Basic Concepts from Geometry 

863  (14) 
Appendix B: Parametric Equations 

877  
Answers 

1  (77) 
Photo Credits 

78  
Index 

1  (12) 
Index of Applications 

13  