Textbook

The Essential Elementary & Intermediate Algebra

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
Answers to the Exercises

Chapter 2: Linear Equations and Inequalities
2.1 – Introduction to Equations
2.2 – General Equations
2.3 – Applications of Equations
2.4 – Linear Inequalities
Answers to the Exercises

Chapter 3: Polynomials
3.1 – Exponents
3.2 – Scientific Notation
3.3 – Introduction to Polynomials
3.4 – Multiplying Polynomials
3.5 – Dividing Polynomials
Answers to the Exercises

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
Answers to the Exercises

Chapter 5: Rational Expressions
5.1 – Simplifying Rational Expressions
5.2 – Multiplying and Dividing Rational Expressions
5.3 – Adding and Subtracting Rational Expressions
5.4 – Adding and Subtracting Rational Expressions with Unlike Denominators
5.5 – Complex Fractions
5.6 – Rational Equations
5.7 – Literal Equations
5.8 – Applications of Rationals
Answers to the Exercises

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
Answers to the Exercises

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
Answers to the Exercises

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
Answers to the Exercises

Chapter 8: Radicals
8.1 – The principal nth root
8.2 – Simplifying Radicals
8.3 – Addition and Subtraction of Radicals
8.4 – Multiplication of Radicals
8.5 – Division of Radicals
8.6 – The Complex Number System
8.7 – Solving Radical Equations
Answers to the Exercises

Chapter 9: Functions
9.1 – Linear Equations in Two Variables
9.2 – Introduction to Functions
9.3 – Graphing Functions by Plotting Points, Domain and Range of Functions
9.4 – Graphing by Shifting, Reflecting and Dilation
9.5 – The Algebra of Functions
9.6 – Inverse Functions
9.7 – Applications of Functions
9.8 – Graphing Rational Functions
Answers to the Exercises

Chapter 10: Quadratic Equations
10.1 – Solving Quadratics by Factoring and by Extracting Roots
10.2 – Solving Quadratics by Completing the Square
10.3 – The Quadratic Formula
10.4 – Solving Equations in Quadratic Form, Equations Reducible to Quadratics
10.5 – Graphing Quadratic Functions
10.6 – Applications of Quadratic Equations
10.7 – Polynomial and Rational Inequalities
Answers to the Exercises

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
Answers to the Exercises

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
Answers to the Exercises

Chapter 13: Systems of Equations
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
Answers to the Exercises