Chapter P Prerequisites 


Section P.1 Modeling the Real World 


2  (2) 


4  (6) 

Section P.3 Integer Exponents 


10  (4) 

Section P.4 Rational Exponents and Radicals 


14  (2) 

Section P.5 Algebraic Expressions 


16  (3) 


19  (4) 

Section P.7 Rational Expressions 


23  (6) 
Chapter 1 Equations and Inequalities 


Section 1.1 Basic Equations 


29  (5) 

Section 1.2 Modeling with Equations 


34  (3) 

Section 1.3 Quadratic Equations 


37  (6) 

Section 1.4 Complex Numbers 


43  (3) 

Section 1.5 Other Types of Equations 


46  (3) 


49  (6) 

Section 1.7 Absolute Value Equations and Inequalities 


55  (3) 
Chapter 2 Coordinates and Graphs 


Section 2.1 The Coordinate Plane 


58  (2) 

Section 2.2 Graphs of Equations in Two Variables 


60  (4) 

Section 2.3 Graphing Calculators: Solving Equations and Inequalities Graphically 


64  (5) 


69  (4) 

Section 2.5 Modeling: Variation 


73  (3) 
Chapter 3 Functions 


Section 3.1 What is a Function? 


76  (2) 

Section 3.2 Graphs of Functions 


78  (3) 

Section 3.3 Increasing and Decreasing Functions: Average Rate of Change 


81  (2) 

Section 3.4 Transformations of Functions 


83  (6) 

Section 3.5 Quadratic Functions; Maxima and Minima 


89  (5) 

Section 3.6 Combining Functions 


94  (5) 

Section 3.7 OnetoOne Functions and Their Inverses 


99  (4) 
Chapter 4 Polynomials and Rational Functions 


Section 4.1 Polynomial Functions and Their Graphs 


103  (7) 

Section 4.2 Dividing Polynomials 


110  (4) 

Section 4.3 Real Zeros of Polynomials 


114  (8) 

Section 4.4 Complex Zeros and the Fundamental Theorem of Algebra 


122  (4) 

Section 4.5 Rational Functions 


126  (8) 
Chapter 5 Exponential and Logarithmic Functions 


Section 5.1 Exponential Functions 


134  (4) 

Section 5.2 Logarithmic Functions 


138  (4) 

Section 5.3 Laws of Logarithms 


142  (3) 

Section 5.4 Exponential and Logarithmic Equations 


145  (4) 

Section 5.5 Modeling with Exponential and Logarithmic Functions 


149  (5) 
Chapter 6 Systems of Equations and Inequalities 


Section 6.1 Systems of Equations 


154  (4) 

Section 6.2 Systems of Linear Equations in Two Variables 


158  (4) 

Section 6.3 Systems of Linear Equations in Several Variables 


162  (6) 

Section 6.4 Systems of Inequalities 


168  (3) 

Section 6.5 Partial Fractions 


171  (6) 
Chapter 7 Matrices and Determinants 


Section 7.1 Matrices and Systems of Linear Equations 


177  (10) 

Section 7.2 The Algebra of Matrices 


187  (5) 

Section 7.3 Inverses of Matrices and Matrix Equations 


192  (7) 

Section 7.4 Determinants and Cramer's Rule 


199  (5) 
Chapter 8 Conic Sections 



204  (2) 


206  (3) 


209  (2) 

Section 8.4 Shifted Conics 


211  (4) 
Chapter 9 Sequences and Series 


Section 9.1 Sequences and Summation Notation 


215  (6) 

Section 9.2 Arithmetic Sequences 


221  (2) 

Section 9.3 Geometric Sequences 


223  (4) 

Section 9.4 Mathematics of Finance 


227  (3) 

Section 9.5 Mathematical Induction 


230  (2) 

Section 9.6 The Binomial Theorem 


232  (4) 
Chapter 10 Counting and Probability 


Section 10.1 Counting Principles 


236  (3) 

Section 10.2 Permutations and Combinations 


239  (6) 


245  (6) 

Section 10.4 Binomial Probability 


251  (2) 

Section 10.5 Expected Value 


253  