Intermediate Algebra
v. 1.0
Table of Contents
Licensing Information
Preface
Chapter 1: Algebra Fundamentals
Review of Real Numbers and Absolute Value
Operations with Real Numbers
Square and Cube Roots of Real Numbers
Algebraic Expressions and Formulas
Rules of Exponents and Scientific Notation
Polynomials and Their Operations
Solving Linear Equations
Solving Linear Inequalities with One Variable
Review Exercises and Sample Exam
Chapter 2: Graphing Functions and Inequalities
Relations, Graphs, and Functions
Linear Functions and Their Graphs
Modeling Linear Functions
Graphing the Basic Functions
Using Transformations to Graph Functions
Solving Absolute Value Equations and Inequalities
Solving Inequalities with Two Variables
Review Exercises and Sample Exam
Chapter 3: Solving Linear Systems
Linear Systems with Two Variables and Their Solutions
Solving Linear Systems with Two Variables
Applications of Linear Systems with Two Variables
Solving Linear Systems with Three Variables
Matrices and Gaussian Elimination
Determinants and Cramerâ€™s Rule
Solving Systems of Inequalities with Two Variables
Review Exercises and Sample Exam
Chapter 4: Polynomial and Rational Functions
Algebra of Functions
Factoring Polynomials
Factoring Trinomials
Solve Polynomial Equations by Factoring
Rational Functions: Multiplication and Division
Rational Functions: Addition and Subtraction
Solving Rational Equations
Applications and Variation
Review Exercises and Sample Exam
Chapter 5: Radical Functions and Equations
Roots and Radicals
Simplifying Radical Expressions
Adding and Subtracting Radical Expressions
Multiplying and Dividing Radical Expressions
Rational Exponents
Solving Radical Equations
Complex Numbers and Their Operations
Review Exercises and Sample Exam
Chapter 6: Solving Equations and Inequalities
Extracting Square Roots and Completing the Square
Quadratic Formula
Solving Equations Quadratic in Form
Quadratic Functions and Their Graphs
Solving Quadratic Inequalities
Solving Polynomial and Rational Inequalities
Review Exercises and Sample Exam
Chapter 7: Exponential and Logarithmic Functions
Composition and Inverse Functions
Exponential Functions and Their Graphs
Logarithmic Functions and Their Graphs
Properties of the Logarithm
Solving Exponential and Logarithmic Equations
Applications
Review Exercises and Sample Exam
Chapter 8: Conic Sections
Distance, Midpoint, and the Parabola
Circles
Ellipses
Hyperbolas
Solving Nonlinear Systems
Review Exercises and Sample Exam
Chapter 9: Sequences, Series, and the Binomial Theorem
Introduction to Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
Binomial Theorem
Review Exercises and Sample Exam