This is a virtual edition of an elementary algebra textbook with some
review of real numbers and arithmetic. It is intended to be used online,
although portions, such as the exercises and summaries, may be printed. When
printing, please reduce the zoom level to avoid printing excessive pages. The
font size is large for ease of online classroom use. It is too large for the
printed page.

__Navigation__

Each Module (B through H) is broken down into various sections in much the
same way as a textbook’s chapters are segmented into sections. Each section has
a main lesson titled after the section name, a supplementary lesson providing
students with additional examples and practice, an exercise section intended
for student homework and a section with answers to those homework problems.
Some sections have additional lessons, summaries and supplements. The last
section in each module contains review exercises, answers to the review
exercises, a practice test and answers to the practice test. These are intended
for student use in test preparation.

__Detailed
Table of Contents (TOC) Hierarchy__

Algebra is
Vital

by Leslie Elizabeth Buck is
licensed under a

Creative Commons
Attribution-NonCommercial-ShareAlike
3.0 Unported License

Acknowledgements

To the
Student

To the
Instructor

A. Why study
Algebra?

An optional,
motivational presentation or argument for the necessity of the *algebra experience* is provided here.

B. Review of the Fundamental Operations of Real Numbers

1. Mathematical
symbols and notation

One
lesson reviewing basic symbols and notation; no exercises or supplement

1.7
Whole numbers

Whole
numbers

Supplementary
examples

Exercises

Answers

Sets of
numbers

Supplementary
examples

Exercises

Answers

Most sections appear as the
above two examples; only those sections that differ from this format will be
detailed below;

3. Basic
properties of real numbers

Includes an additional section:

Summary of the properties of Reals – a printable summary or a quick web reference for
students

4. Operations of
signed numbers

No
supplement;

5.5
Percents

No supplement;

Review
exercises

Answers to
review exercises

Practice
test

Answers to
practice test

All
review sections appear as above;

C. Linear Equations and Inequalities

1.
Solving linear equations

Includes an additional/optional
lesson:

Like terms

1.7
Units of measurements

Includes an additional, printable
section:

Summary of conversion factors and
prefixes

1.9
Basic geometry

Includes an additional, printable
section:

Summary of formulas

2. Solving verbal problems and applications

Includes two additional, printable
sections:

Problem solving procedure

English to math translation

3. Solving simple linear
inequalities

4.
Basic formula manipulations

5.
Review

D. Graphing and Systems of Linear Equations

1.
The Cartesian coordinate system

2. Graphs of linear
equations

3.
Definition of slope, parallel and perpendicular lines

4.
Using slope-intercept form of a linear equation to graph lines

5.
Solving linear systems by graphing, addition and substitution methods

6.
Applications involving linear systems

7.
Review

E. Operations with Polynomials

1. Naming and evaluation of
polynomials

No
supplement;

2. Addition and subtraction of
polynomials

3. Properties of exponents and
scientific notation

Includes an additional, printable
section:

Summary of the properties of
exponents

The lesson is broken down into two sections:

Properties of exponents

Scientific notation

4. Multiplication of polynomials

5. Division of polynomials by
monomials

No supplement;

6. Division of polynomials by
binomials

7. Review

F. Factoring Polynomials and Solving Quadratic Equations by
Factoring

1. Common factors

The lesson is broken down into two
sections:

Common factors

Factoring by grouping

2. Factoring trinomials

3. Difference of two squares

No
supplement;

4. Solving quadratic equations by
factoring

5. Review

G.
Algebraic Fractions

1. Simplifying algebraic fractions

2. Multiplication and division

3. Addition and subtraction

4. Solving equations containing
algebraic fractions

5. Solving applied problems

The lesson is broken down into two
sections:

Proportions

Solving applied problems

6. Review

H. Common Roots and Radicals

1. Definitions

No supplement;

2. Properties

Includes an additional, printable
section:

Summary of Radical Properties

3. Simplification of a single
radical

Ideally, the lessons should be viewed in a top-down order. This hierarchy
follows the syllabus for the Algebra I course (MAT007) approved by the
Mathematics department of Suffolk County Community College as of this writing
(July, 2013). There are additional topics added to facilitate this books’ use
in MAT006 and MAT001. Please see the suggested topics outline below for use in
different courses.

Most pages have TOC icons on the bottom left for return to the table of contents.
Within each section, pages allow for the return to the front page of the module
via a Unit# icon on the bottom right.

Each lesson and supplemental lesson is in flash format. The lessons may
be navigated in several ways:

a) by using the right/left keyboard arrows

b) by
mouse-clicking the screen to advance

c) by using the scroll-bar to advance
or reverse

d) by advancing to the next/previous
slide by using the arrows on the bottom left of the flash screen.

The left arrow key may be used for
reverse. The scroll-bar allows for rapid advancement or reversal. The current
slide number and the total number of slides are visible on the bottom left of
the flash screen. Additional adjustments to volume and screen size are
available on the bottom right side of the flash screen.

It is important to remember that each lesson
is animated. If the mouse is clicked prematurely or the right arrow is applied
to soon, important aspects of the animation may be missed. Try to wait until
all animation has ceased before advancing. It is always possible to reverse
using the left arrow key when it appears that the lesson has ‘skipped’
(advanced too quickly).

__Feedback__

The author welcomes and encourages feedback.
Please use buckl@sunysuffolk.edu for this
purpose.