Chapter P Prerequisites: Fundamentals of Algebra

P.1 The Real Number System
P.2 Operations with Real Numbers
P.3 Properties of Real Numbers
P.4 Algebraic Expressions
P.5 Constructing Algebraic Expressions

Chapter 1 Linear Equations and Inequalities

1.1 Linear Equations
1.2 Linear Equations and Problem Solving
1.3 Business and Scientific Problems
1.4 Linear Inequalities
1.5 Absolute Value Equations and Inequalities

Chapter 2 Graphs and Functions

2.1 The Rectangular Coordinate System
2.2 Graphs of Equations
2.3 Slope and Graphs of Linear Equations
2.4 Equations of Lines
2.5 Relations and Functions
2.6 Graphs of Functions

Chapter 3 Polynomials and Factoring

3.1 Adding and Subtracting Polynomials
3.2 Multiplying Polynomials
3.3 Factoring Polynomials
3.4 Factoring Trinomials
3.5 Solving Polynomial Equations

Chapter 4 Rational Expressions, Equations, and Functions

4.1 Integer Exponents and Scientific Notation
4.2 Rational Expressions and Functions
4.3 Multiplying and Dividing Rational Expressions
4.4 Adding and Subtracting Rational Expressions
4.5 Dividing Polynomials
4.6 Solving Rational Equations

Chapter 5 Radicals and Complex Numbers

5.1 Radicals and Rational Exponents
5.2 Simplifying Radical Expressions
5.3 Multiplying and Dividing Radical Expressions
5.4 Solving Radical Equations
5.5 Complex Numbers

Chapter 6 Quadratic Equations and Inequalities

6.1 Factoring and Extracting Square Roots
6.2 Completing the Square
6.3 The Quadratic Formula
6.4 Applications of Quadratic Equations
6.5 Quadratic and Rational Inequalities

Chapter 7 Linear Models and Graphs of Nonlinear Models

7.1 Variation
7.2 Graphs of Linear Inequalities
7.3 Graphs of Quadratic Functions
7.4 Conic Sections
7.5 Graphs of Rational Functions

Chapter 8 Systems of Equations

8.1 Systems of Equations
8.2 Linear System in Two Variables
8.3 Linear Systems in Three Variables
8.4 Matrices and Linear Systems
8.5 Determinants and Linear Systems

Chapter 9 Exponential and Logarithmic Functions

9.1 Exponential Functions
9.2 Inverse Functions
9.3 Logarithmic Functions
9.4 Properties of Logarithms
9.5 Solving Exponential and Logarithmic Equations
9.6 Applications

Chapter 10 Sequences, Series, and Probability

10.1 Sequences
10.2 Arithmetic Sequences
10.3 Geometric Sequences and Series
10.4 The Binomial Theorem
10.5 Counting Principles
10.6 Probability