Math141Outline1 - MATH 141 PRECALCULUS QUIZ 1A AND QUIZ 1B...

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MATH 141: PRECALCULUS QUIZ 1A AND QUIZ 1B: LOGIC, ALGEBRA, AND FUNCTIONS (PRELIMINARIES, CHAPTER 1) DISCLAIMER : This may or may not be a comprehensive list, but it’s a very good start! Know all aspects of these topics; I may go beyond listed subtopics. PRELIMINARIES: LOGIC AND BASIC ALGEBRA Logic If-then vs. If-and-only-if Set Notation: ± , ² , ³ Converse, Inverse, Contrapositive Necessary and / or Sufficient Conditions Rounding (Topic 1) Absolute Value (Topic 2) Piecewise Definition Properties Absolute Value and Distance Fractional, Radical, and Exponential Forms (Topic 3) Converting Domain Rules of Exponents and Simplifying Polynomials and Factoring (Topic 4) Standard Form for Polynomials Know all basic factoring techniques, including grouping. (See worksheet .) Test for Factorability Factor out GCF and / or ± 1 early on Don’t forget the Sum and Difference of Two Cubes! Rational and Algebraic Expressions (Topic 5) Factoring with Weird (Negative and/or Fractional) Exponents; Quadratic Forms (Topic 6)
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