**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

*-love learning -your best ed lessons guide, Scott*

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