ALGEBRA in WORDS 2: MORE Hints, Strategies and Simple Explanations

ALGEBRA in WORDS 2: MORE Hints, Strategies and Simple Explanations

This is the follow-up and companion to the first, #1 selling, ALGEBRA in WORDS: A Guide of Hints, Strategies and Simple Explanations (2014),<br />and the companion to WORD PROBLEMS DECODED (2015),<br /><br />focusing on:<br />Absolute Values<br />Inequalities<br />Logs, Natural Logs, & Exponentials<br />Absolute Value Inequalities<br />Rational Exponents<br />Radicals<br />Quadratics & Parabolas<br />Scientific Notation<br />Variation & Proportionality<br />Circles<br /><br />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 to help them earn higher grades in classes such as:<br />ALGEBRA 2, INTERMEDIATE ALGEBRA, COLLEGE ALGEBRA, & PRE-CALCULUS, and some CALCULUS,<br />and even helps instructors and tutors communicate material more effectively and efficiently.<br /><br />This book is presented in a way to be your own personal tutor, by giving you direct insight into topics. It contains 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.<br /><br />Another strength of this book is the way it helps you assimilate information, making learning easier. It is filled with click-able hyperlinks so you can easily jump to a related topic, example, or root definition. Keep it open to help you with your homework, use it to review material you missed in class, and use it to study for exams.<br /><br />It contains the following, detailed chapters:<br />DEFINITIONS<br />SYMBOL & MEANING IN WORDS<br />INCLUSIVE vs. NONINCLUSIVE<br />INTERVAL & SET-BUILDER NOTATION<br />AND vs. OR<br />THE REAL ORDER OF OPERATIONS: GEMA<br />SOLVING (SIMPLE) INEQUALITIES<br />SOLVING ABSOLUTE VALUE EQUATIONS<br />SOLVING ABSOLUTE VALUE EQUATIONS W/ TWO ABSOLUTE VALUE GROUPS<br />SOLVING & GRAPHING A COMPOUND INEQUALITY<br />SOLVING & GRAPHING ABSOLUTE VALUE INEQUALITIES<br />ASSUMPTIONS for “AND” & “OR”<br />UNION vs. INTERSECTION<br />FUNCTIONS<br />TREND OF A GRAPH<br />GRAPHING LINEAR INEQUALITIES (in two variables)<br />SYSTEMS OF LINEAR INEQUALITIES<br />DIVIDING POLYNOMIALS USING LONG DIVISION<br />SPECIAL CASE: THE SUM OR DIFFERENCE OF TWO CUBES<br />CAN A PERFECT SQUARE ALSO BE A PERFECT CUBE?<br />DIFFERENT WAYS TO SIMPLIFY A RATIONAL EXPRESSION<br />SOLVING AN EQUATION with MANY FACTORS for a PARTICULAR VARIABLE<br />CONVERTING RADICALS & RATIONAL EXPONENTS<br />SIMPLIFYING EXPRESSIONS WITH RATIONAL EXPONENTS<br />FINDING THE DOMAIN OF EVEN-ROOT RADICALS<br />FINDING HIGHER POWERS OF i<br />EVALUATING ROOTS WITH VARIOUS FACTORS & EXPONENTS<br />MULTIPLYING BINOMIALS WITH RADICALS & i<br />RATIONALIZING THE DENOMINATOR<br />SOLVING RADICAL EQUATIONS<br />-with one, two, or three radicals<br />CONSTANTS & COEFFICIENTS DON'T MIX<br />COMPLETING THE SQUARE<br />RECOGNIZING A PERFECT SQUARE TRINOMIAL<br />WHERE DID THE QUADRATIC FORMULA COME FROM?<br />TRANSFORMING A NON-QUADRATIC EQUATION into a QUADRATIC EQUATION, then SOLVING<br />FACTORING TRINOMIALS USING THE ac/GROUPING METHOD<br />PROCEDURE FOR GRAPHING A QUADRATIC EQUATION (PARABOLA)<br />STANDARD FORM EQUATION OF A VERTICAL PARABOLA<br />QUADRATIC INEQUALITIES<br />CONSTRAINTS with “AND” & “OR”<br />RATIONAL INEQUALITIES<br />VARIATION & PROPORTIONALITY<br />CIRCLES<br />What are h and k?<br />Procedure for Making the Standard Form Equation of a Circle<br />Graphing a Circle<br />THE SIMILARITY OF THE PYTHAGOREAN THEOREM, THE DISTANCE FORMULA & THE CIRCLE EQUATION<br />SCIENTIFIC NOTATION: WHICH WAY DO YOU MOVE THE DECIMAL?<br />Expanded Form to Scientific Notation<br />Scientific Notation to Expanded Form<br />LOGS & NATURAL LOGS<br />GRAPHS OF LOGS<br />FMMs (Frequently Made Mistakes)<br />GENERAL TECHNIQUES FOR SUCCESS & IMPROVEMENT<br /><br />Use this book to keep confusion and anxiety out of the equation.<br /><br />Gregory P. Bullock is also the author of:<br /><br />"COLLEGE SUCCESS: An Insider's Guide to Higher GRADES, More MONEY, and Better HEALTH" and<br /><br />"CHEMISTRY IN WORDS: Constructing Lewis Dot Structures and 3D Molecular Geometry"