
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) 

Systems of Equations and Matrices 



Systems of Equations in Two Variables 


412  (16) 

Systems of Equations in Three Variables 


428  (10) 

Matrices and Systems of Equations 


438  (9) 


447  (12) 


459  (7) 

Determinants and Cramer's Rule 


466  (9) 

Systems of Inequalities and Linear Programming 


475  (11) 


486  (16) 


492  (6) 


498  (4) 




502  (9) 

The Circle and the Ellipse 


511  (11) 


522  (10) 

Nonlinear Systems of Equations 


532  (18) 


544  (4) 


548  (2) 

Sequences, Series, and Combinatorics 




550  (9) 

Arithmetic Sequences and Series 


559  (9) 

Geometric Sequences and Series 


568  (12) 


580  (6) 


586  (10) 

Combinatorics: Combinations 


596  (8) 


604  (8) 


612  (17) 


622  (4) 


626  (3) 
Appendix: Basic Concepts from Geometry 

629  
Answers 

1  (55) 
Photo Credits 

56  
Index 

1  (10) 
Index of Applications 

11  