Algebra in Words 2: MORE Hints, Strategies and Simple Explanations

This is a follow-up and companion to the first, #1 selling ALGEBRA in WORDS (2014),
focusing on:
-Absolute Values
-Inequalities
-Logs, Natural Logs, & Exponentials
-Absolute Value Inequalities
-Rational Exponents
-Radicals
-Quadratics & Parabolas
-Scientific Notation
-Variation & Proportionality
-Circles
The central theme of this book is: COMMUNICATION, the key element that too many textbooks, instructors, and online videos lack. This book gives clarity to students in classes such as:
ALGEBRA 2, INTERMEDIATE ALGEBRA, COLLEGE ALGEBRA, & PRE-CALCULUS,
and even helps instructors communicate material more effectively.
This book is presented in a way to be your own personal tutor, by giving you direct insight into topics and walking you through any type of word problem with detailed PROCEDURES and ANNOTATED EXAMPLES you won’t find in any other book, study guide, or online video. This book is specifically designed to prevent confusion, address questions that many students have, and help you succeed with little effort and guesswork.
Keep it open to help you with your homework, use it to learn what you missed in class, and use it to study for exams.
The eBook is filled with click-able hyperlinks so you can easily jump to a related topic, example, or definition.
It contains the following, detailed chapters:
DEFINITIONS
SYMBOL & MEANING IN WORDS
INCLUSIVE vs. NONINCLUSIVE
INTERVAL & SET-BUILDER NOTATION
AND vs. OR
THE REAL ORDER OF OPERATIONS: GEMA
SOLVING (SIMPLE) INEQUALITIES
SOLVING ABSOLUTE VALUE EQUATIONS
SOLVING & GRAPHING A COMPOUND INEQUALITY and ABSOLUTE VALUE INEQUALITIES
ASSUMPTIONS for “AND” & “OR”
UNION vs. INTERSECTION
FUNCTIONS
TREND OF A GRAPH
GRAPHING LINEAR INEQUALITIES (in two variables)
SYSTEMS OF LINEAR INEQUALITIES
DIVIDING POLYNOMIALS USING LONG DIVISION
SPECIAL CASE: THE SUM OR DIFFERENCE OF TWO CUBES
CAN A PERFECT SQUARE ALSO BE A PERFECT CUBE?
DIFFERENT WAYS TO SIMPLIFY A RATIONAL EXPRESSION
SOLVING AN EQUATION with MANY FACTORS for a PARTICULAR VARIABLE
CONVERTING RADICALS & RATIONAL EXPONENTS
SIMPLIFYING EXPRESSIONS WITH RATIONAL EXPONENTS
FINDING THE DOMAIN OF EVEN-ROOT RADICALS
FINDING HIGHER POWERS OF i
EVALUATING ROOTS WITH VARIOUS FACTORS & EXPONENTS
MULTIPLYING BINOMIALS WITH RADICALS & i
RATIONALIZING THE DENOMINATOR
SOLVING RADICAL EQUATIONS
-with one, two, or three radicals
CONSTANTS & COEFFICIENTS DON'T MIX
COMPLETING THE SQUARE
RECOGNIZING A PERFECT SQUARE TRINOMIAL
WHERE DID THE QUADRATIC FORMULA COME FROM?
TRANSFORMING A NON-QUADRATIC EQUATION into a QUADRATIC EQUATION, then SOLVING
FACTORING TRINOMIALS USING THE ac/GROUPING METHOD
PROCEDURE FOR GRAPHING A QUADRATIC EQUATION (PARABOLA)
STANDARD FORM EQUATION OF A VERTICAL PARABOLA
QUADRATIC INEQUALITIES
CONSTRAINTS with “AND” & “OR”
RATIONAL INEQUALITIES
VARIATION & PROPORTIONALITY
CIRCLES
-What are h and k?
-Procedure for Making the Standard Form Equation of a Circle
-Graphing a Circle
THE SIMILARITY OF THE PYTHAGOREAN THEOREM, THE DISTANCE FORMULA & THE CIRCLE EQUATION
SCIENTIFIC NOTATION: WHICH WAY DO YOU MOVE THE DECIMAL?
LOGS & NATURAL LOGS
GRAPHS OF LOGS
FMMs (Frequently Made Mistakes)
GENERAL TECHNIQUES FOR SUCCESS & IMPROVEMENT
Use ALGEBRA IN WORDS 2 to take confusion out of the equation.
Gregory P. Bullock is also the author of:
COLLEGE SUCCESS: An Insider's Guide to Higher GRADES, More MONEY, and Better HEALTH (2016)
WORD PROBLEMS DECODED (2015)
ALGEBRA IN WORDS 3: Notes for Algebra 2, College Algebra & Pre-Calculus on: Functions, Polynomials, Theorems, Rational Functions & Systems of Equations (2016, Kindle edition only)