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

-love learning -your best ed lessons guru, Scott