**Description:**

Written
for students with some previous exposure to algebra, *Intermediate Algebra:
The Why and the How *focuses on explanations of steps and practical advice
on how and why things are done in certain ways when solving algebraic
equations.

The
book begins with the real number system and then moves students through linear
equations, lines, equations, and systems, and inequalities. Students also learn
to work with polynomials, rational expressions and equations, radicals, and
quadratics and functions. Each of the eight chapters is organized into distinct
lessons and instruction followed by exercise sets, so that students can master
skills at a comfortable pace and build on them successfully. The instructional
component emphasizes preparing students for more advanced courses by
introducing them to the necessary concepts in an accessible and
level-appropriate way.

*Intermediate Algebra* helps students become
comfortable with the small details in math that make a big difference in
overall competence and success. Thoughtfully developed with clear instruction
and examples, as well as numerous practice opportunities throughout each
lesson, the book is well suited to courses in the discipline.

**Contents:**

**Chapter 1: The Real
Number System** • Real Numbers
and Their Properties • Real Numbers • Properties of Real Numbers • Section 1.1
Exercises • The Four Basic Operations • Addition and Subtraction •
Multiplication and Division • Absolute Value • The Four Operations Together •
Section 1.2 Exercises • Order of Operations—PEMDAS • Exponents—A First Look •
PEMDAS • Section 1.3 Exercises • Order of Operations—Like Terms and Grouping Symbols
• Like Terms • Grouping Symbols • Section 1.4 Exercises • Rules for Exponents •
Integer Exponents • Exponent Rules • Section 1.5 Exercises • Using Formulas •
Evaluating Expressions • Formulas • Section 1.6 Exercises • Chapter 1 Review

**Chapter 2: Linear
Equations** • Equations with One
Variable • One-Sided Equations • Two-Sided Equations • Section 2.1 Exercises •
Equations with More than One Variable • Section 2.2 Exercises • : Absolute
Value Equations • Section 2.3 Exercises • Applications of Single-Variable
Equations • Percent • Problem-Solving • Section 2.4 Exercises • Chapter 2
Review

**Chapter 3: Lines,
Equations, and Systems** •
Lines and Their Intercepts • T-Charts • Section 3.1 Exercises • Lines and Their
Slopes • Parallel and Perpendicular Lines • Section 3.2 Exercises • Lines and
Their Equations • Section 3.3 Exercises • Two-Variable Systems of Linear
Equations • Substitution • Elimination • Section 3.4 Exercises • Three-Variable
Systems of Linear Equations • Section 3.5 Exercises • Applications of Systems •
Section 3.6 Exercises • Chapter 3 Review

**Chapter 4:
Inequalities** • Simple
Inequalities • Applications • Section 4.1 Exercises • Compound Inequalities •
Section 4.2 Exercises • Absolute Value Inequalities • Section 4.3 Exercises •
Linear Inequalities • Vertical and Horizontal Lines • Section 4.4 Exercises
• Systems of Inequalities • Section 4.5
Exercises • Chapter 4 Review

**Chapter 5:
Polynomials **• Operations on
Polynomials • Adding and Subtracting Polynomials • Multiplication of
Polynomials • Section 5.1 Exercises • Polynomial Long-Division • Long Division
• Synthetic Division • Section 5.2 Exercises • Factoring by GCF and Factoring
by Grouping • Greatest Common Factor • Factoring by Grouping • Section 5.3
Exercises • Factoring Trinomials • Quadratic Coefficients Equal to 1 •
Quadratic Coefficients Not Equal to 1 • The ac-Method • Section 5.4 Exercises •
Factoring Completely and Difference of Squares • Sum and Difference of Cubes •
Section 5.5 Exercises • Chapter 5 Review

**Chapter 6: Rational Expressions
and Equations** • Multiplying
and Dividing Rational Expressions • Multiplication • Division • Section 6.1
Exercises • Adding and Subtracting Rational Expressions • Addition •
Subtraction • Section 6.2 Exercises • Rational Equations • Section 6.3 Exercises
• Applications and Proportions • Formulas • Word Problems • Section 6.4
Exercises • Chapter 6 Review

**Chapter 7: Radicals **• Rational Exponents • Section 7.1 Exercises • Radical
Expressions • Even Roots • Odd Roots • Section 7.2 Exercises • Adding and
Subtracting Radicals • Section 7.3 Exercises • Multiplying and Dividing
Radicals • Dividing Radicals • Conjugates • Section 7.4 Exercises • Radical
Equations • Section 7.5 Exercises • Complex Numbers • The* i Cycle* •
Multiplication of Complex Numbers • Dividing Complex Numbers • Section 7.6
Exercises • Variation • Section 7.7 Exercises • Chapter 7 Review

**Chapter 8: Quadratics
and Functions** • Solving
Quadratic Equations and the Square-Root Property • Equations of the Form ax^{2}
• + bx + c = 0 or ax^{2} • + bx = 0 • A Note about Radical Equations •
Section 8.1 Exercises • Completing the Square and Factoring • Factors and
Quadratics in Other Forms • Section 8.2 Exercises • The Quadratic Formula • The
Discriminant • Section 8.3 Exercises • Functions • Domain of a Function •
Different Ways to Represent a Function • Section 8.4 Exercises • Quadratic
Functions • Section 8.5 Exercises • Quadratic Inequalities • Section 8.6
Exercises • Chapter 8 Review

**About the Author:**

**Mathew Baxter** earned his Ph.D. in
mathematics at the University of Central Florida. Dr. Baxter is currently a
faculty member at Florida Gulf Coast University, where he has taught
introduction to statistics, intermediate algebra, pre-calculus and calculus,
and the history of math. He has served as a reviewer for *Abstract and
Applied Analysis, Mathematical Problems in Engineering, *and* Applied
Mathematics and Computation,* and his own professional writing has appeared
in journals such as *Physica Scripta, Mathematical Methods in the Applied
Sciences, *and the* Journal of Mathematical Physics.*

**Target Audience:**

The
book is intended for students and academicians of Mathematics.