
Basic Concepts of Algebra 




2  (6) 

Integer Exponents, Scientific Notation, and Order of Operations 


8  (7) 

Addition, Subtraction, and Multiplication of Polynomials 


15  (4) 


19  (5) 


24  (7) 

Radical Notation and Rational Exponents 


31  (13) 


40  (2) 


42  (2) 

Graphs, Functions, and Models 




44  (12) 


56  (14) 

Linear Functions, Slope, and Applications 


70  (11) 

Equations of Lines and Modeling 


81  (12) 


93  (15) 

Symmetry and Transformations 


108  (26) 


126  (4) 


130  (4) 

Functions, Equations, and Inequalities 



Linear Equations, Functions, and Models 


134  (13) 


147  (6) 

Quadratic Equations, Functions, and Models 


153  (15) 

Analyzing Graphs of Quadratic Functions 


168  (10) 


178  (6) 

Solving Linear Inequalities 


184  (10) 


189  (3) 


192  (2) 

Polynomial and Rational Functions 



Polynomial Functions and Models 


194  (10) 

Polynomial Division; The Remainder and Factor Theorems 


204  (10) 

Theorems about Zeros of Polynomial Functions 


214  (11) 


225  (14) 

Polynomial and Rational Inequalities 


239  (8) 

Variation and Applications 


247  (15) 


255  (4) 


259  (3) 

Exponential and Logarithmic Functions 



Composite and Inverse Functions 


262  (15) 

Exponential Functions and Graphs 


277  (11) 

Logarithmic Functions and Graphs 


288  (13) 

Properties of Logarithmic Functions 


301  (7) 

Solving Exponential and Logarithmic Equations 


308  (9) 

Applications and Models: Growth and Decay 


317  (19) 


331  (3) 


334  (2) 

Systems of Equations and Matrices 



Systems of Equations in Two Variables 


336  (11) 

Systems of Equations in Three Variables 


347  (9) 

Matrices and Systems of Equations 


356  (8) 


364  (12) 


376  (6) 

Determinants and Cramer's Rule 


382  (9) 

Systems of Inequalities and Linear Programming 


391  (10) 


401  (15) 


407  (6) 


413  (3) 




416  (8) 

The Circle and the Ellipse 


424  (10) 


434  (10) 

Nonlinear Systems of Equations 


444  (18) 


455  (4) 


459  (3) 

Sequences, Series, and Combinatorics 




462  (8) 

Arithmetic Sequences and Series 


470  (9) 

Geometric Sequences and Series 


479  (10) 


489  (6) 

Combinatorics: Permutations 


495  (9) 

Combinatorics: Combinations 


504  (8) 


512  (7) 


519  


530  (3) 


533  
Answers 

1  (1) 
Index 

1  
Index of Applications 
