# Algebra: A Classical Approach

All of the book chapters below are in PDF format for your convenience. They are for use and download by any of my students.

Chapter 1: The Basics
1.1 – Integers
1.2 – Rational Numbers
1.3 – Order of Operations
1.4 – Variable Expressions
1.5 – Set Notation

Chapter 2: Linear Equations, Absolute Values and Inequalities
2.1 – Introduction to Equations
2.2 – General Equations
2.3 – Applications of Equations
2.4 – Linear Inequalities and Interval Notation
2.5 – Absolute Value Equations and Inequalities

Chapter 3: Polynomials
3.1 – Exponents
3.2 – Scientific Notation
3.3 – Introduction to Polynomials
3.4 – Multiplying Polynomials
3.5 – Dividing Polynomials
3.6 – Synthetic Division

Chapter 4: Factoring
4.1 – Common Factors
4.2 – Factoring by Grouping
4.3 – Factoring x^2 + bx + c
4.4 – Factoring ax^2 +bx + c
4.5 – Factoring Binomials
4.6 – General Factoring Strategy
4.7 – Solving Equations
4.8 – Applications of Polynomials

Chapter 6: Linear Equations in Two Variables
6.1 – The Rectangular Coordinate System
6.2 – Graphing Lines by Intercepts
6.3 – Slope of a Line
6.4 – Linear Inequalities
6.5 – Equations of Lines
6.6 – Parallel and Perpendicular Lines

Chapter 7: Systems of Linear Equations
7.1 – Solving Systems of Equations by Graphing
7.2 – Solving Systems of Equations by Substitution
7.3 – Solving Systems of Equations by Elimination
7.4 – Applications of Linear Systems
7.5 – Systems of Linear Inequalities

8.1 – The Principal n-th Root
8.6 – The Complex Number System

Chapter R: Transition and Review
R.1 – Equations
R.2 – Inequalities and Interval Notation
R.3 – Absolute Values
R.4 – Polynomials
R.5 – Rational Expressions and Equations
R.6 – Radical Expressions and Equations
R.7 – Further Topics in Factoring

Chapter 11: Exponentials and Logarithms
11.1 – Exponential Functions
11.2 – Logarithmic Functions
11.3 – Graphing Logarithmic Functions
11.4 – Properties of Logarithms
11.5 – Solving Exponential and Logarithmic Equations
11.6 – Applications of Exponentials and Logarithms

Chapter 12: Conic Sections
12.1 – Distance and Midpoint Formula
12.2 – The Parabola
12.3 – The Circle
12.4 – The Ellipse
12.5 – The Hyperbola
12.6 – Further Topics in Conic Sections

Chapter 13: Systems of Equations and Inequalities
13.1 – 2×2 Systems of Equations Revisited
13.2 – Larger Systems of Equations by Gaussian Elimination
13.3 – Solving Systems using Cramer’s Method
13.4 – Nonlinear Systems of Equations
13.5 – Inequalities of Two Variables
13.6 – Systems of Inequalities of Two Variables

Chapter 14: Polynomial and Rational Functions
14.1 – Polynomial Functions
14.2 – Rational and Irrational Roots of Polynomials
14.3 – Graphing Polynomials
14.4 – Graphing Rational Functions