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

Intermediate Algebra Textbook - with Answers

-love learning -your best ed lessons guru, Scott

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