Intermediate Algebra Textbook - with Answers

Intermediate Algebra Textbook – with Answers

Written in a clear and concise manner, this Intermediate Algebra Textbook (pdf) builds on the basics learned in elementary algebra and introduces more advanced topics. It includes a blend of traditional and graphical approaches, introduces functions early and stresses the geometry behind the algebra. All answers to odd-numbered problems are provided. The author uses his experience working with students developing their algebra skills, so he knows just where they struggle and how to present complex techniques in more understandable ways, presenting the concepts is a student-friendly and commonsense way. This Intermediate Algebra textbook is also available in an html format in this .zip file, just unzip it and open the index.html file in your browser for the linked table of contents. Table of Contents:

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
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
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 Cramer’s Rule Solving Systems of Inequalities with Two Variables
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
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
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
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
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