Intermediate Algebra Concepts & Graphs

Tired of starting intermediate algebra
with the same old review?

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VIDEO: Why a condensed review of elementary algebra?

- Pat McKeague

We have some good news! Our intermediate algebra book gives students a condensed review of elementary algebra, providing a new perspective on topics they have previously covered. Chapter 1 reviews all of arithmetic with positive and negative numbers, the properties of numbers, and all of the material on exponents and polynomials that is contained in elementary algebra. What makes our approach more interesting is that we review by operation, rather than topic. Here's how we do it...

Take a look at the Chapter 1:

Chapter 1 TOC

And look what happens to Chapter 2:

Chapter 2 TOC

Additional Resources Available Online

MathTV.com
 

Videos

Every example in the book is done in videos available online at MathTV.com. Students can choose from a variety of instructors — including the book's author — and see and hear the examples done in both English and Spanish. MathTV has over 6000 videos for students to watch, including the instructional videos, videos on study skills, interviews with student instructors, enrichment problems, and more.

XYZ Homework
 

Online Homework

With over 5,000 developmental math exercises correlated section by section to our textbooks, XYZHomework.com provides virtually unlimited practice. From these questions, ready to use assignments providing instant feedback have been created to get you started in only a few clicks.

Online Textbooks
 

Online Textbooks

If students have Internet access, they have access to their textbook. An online textbook is available free to students who purchase a print book. For students wanting only an online textbook, a six-month subscription is $20.

Some of Our Other Features

Getting Ready for the Next Section
 

Getting Ready for the Next Section

These problems appear at the end of every problem set. They are the exact problems that students will see when they read through the next section of the text. Students who consistently work these problems will be much better prepared for class than students who don't work these problems.

Getting Ready for Class
 

Getting Ready for Class

Just before each problem set is a list of four questions under the heading Getting Ready for Class. These problems require written responses from students and are to be done before students come to class. The answers can be found by reading the preceeding section. These questions reinforce the importance of reading the section before coming to class.

Real-Data Application Problems
 

Real-Data Application Problems

This book includes many new problems that use real-world applications for the mathematical subject, making the concepts easier to understand. Many times the charts and graphics in the text look like the types of charts and graphics students see in the media.

Blueprint for Problem Solving
 

Blueprint for Problem Solving

These are detailed outlines of the steps needed to successfully solve application problems. Intended as a guide to problem solving in general, the Blueprint overlays the solution process to all the application problems early in the book. As students become more accomplished at problem solving, the steps are streamlined.

Using Technology
 

Using Technology

Scattered throughout the book are exercises that demonstrate how graphing calculators, spreadsheets and computer graphing programs can be used to enhance the topics being covered.

Facts from Geometry
 

Facts from Geometry

This feature gives students a chance to see how topics from geometry are related to the algebra they are using.

Table of Contents

Downloadable formats: PDF | Word

  • 1 Numbers, Variables and Expressions
  • 1.1 Recognizing patterns
  • 1.2 Products
  • 1.3 Sums and Differences
  • 1.4 Factorizations
  • 1.5 Quotients
  • 1.6 Unit Analysis and Scientific Notation

  • 2 Equations and Inequalities in One Variable
  • 2.1 Linear and Quadratic Equations
  • 2.2 Formulas
  • 2.3 Applications
  • 2.4 Linear Inequalities in One Variable
  • 2.5 Equations with Absolute Value
  • 2.6 Inequalities Involving Absolute Value

  • 3 Equations and Inequalities in Two Variables
  • 3.1 Paired Data and the Rectangular Coordinate System
  • 3.2 The Slope of a Line
  • 3.3 Finding the Equation of a Line
  • 3.4 Linear Inequalities in Two Variables
  • 3.5 Introduction to Functions
  • 3.6 Function Notation
  • 3.7 Variation
  • 3.8 Algebra with Functions

  • 4 Systems of equations
  • 4.1 Systems of Equations in Two Variables
  • 4.2 Systems of Linear Equations in Three Variables
  • 4.3 Applications
  • 4.4 Systems of Linear Inequalities

  • 5 Rational Expressions and Rational Functions
  • 5.1 Basic Properties and Reducing to Lowest Terms
  • 5.2 Multiplication and Division of Rational Expressions
  • 5.3 Addition and Subtraction of Rational Expressions
  • 5.4 Complex Fractions
  • 5.5 Equations with Rational Expressions
  • 5.6 Applications
  • 5.7 Division of Polynomials

  • 6 Rational exponents and roots
  • 6.1 Rational Exponents
  • 6.2 Simplified Form for Radicals
  • 6.3 Addition and Subtraction of Radical Expressions
  • 6.4 Multiplication and Division of Radical Expressions
  • 6.5 Equations with Radicals
  • 6.6 Complex Numbers

  • 7 Quadratic Functions
  • 7.1 Completing the Square
  • 7.2 The Quadratic Formula
  • 7.3 Additional Items Involving Solutions to Equations
  • 7.4 More Equations
  • 7.5 Graphing Parabolas
  • 7.6 Quadratic Inequalities

  • 8 Exponential and Logarithmic Functions
  • 8.1 Exponential Functions
  • 8.2 The Inverse of a Function
  • 8.3 Logarithms are Exponents
  • 8.4 Properties of Logarithms
  • 8.5 Common Logarithms and Natural Logarithms
  • 8.6 Exponential Equations and Change of Base

  • 9 Sequences and Series
  • 9.1 More About Sequences
  • 9.2 Series
  • 9.3 Arithmetic Sequences
  • 9.4 Geometric Sequences
  • 9.5 The Binomial Expansion

  • 10 Conic Sections
  • 9.1 The Circle
  • 9.2 Ellipses and Hyperbolas
  • 9.3 Second-Degree Inequalities and Nonlinear Systems

Worksheets

We have a number of worksheets that accompany Intermediate Algebra: Concepts and Graphs. The most important of these are the Matched Problem Worksheets with Objectives. You can view these worksheets online by visiting MathTV.com, selecting the "Videos by Textbook" tab, and then opening the Intermediate Algebra: Concepts and Graphs textbook. Or you can view the textbook at MathTV Online Textbooks and then select the Worksheet View. These Matched Problems worksheets serve a number of purposes:

  • They match the course learning objectives with specific examples in the book.
  • They have space for students to show their work so you can see if they are using the correct notation and procedures.
  • They make the videos more interactive for students.
  • They point students to similar problems in the book.
  • They give students more details on the purpose and importance of the course objectives.

To see how we accomplish these goals, move your cursor over the colored boxes on the Matched Problem Worksheets below.

Ordering Options

  • Students can purchase individual individual copies at www.mathtv.com
  • Schools and bookstores can order in bulk from the XYZ Textbooks Bookstore
  • Instructors can request review copies of our books and trial memberships for MathTV by calling us toll free at 877-745-3499 or by completing the form below:
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