McGraw-Hill’s 500 College Precalculus Questions: Ace Your College Exams: 3 Reading Tests + 3 Writing Tests + 3 Mathematics Tests (McGraw-Hill’s 500 Questions) PDF
Preview McGraw-Hill’s 500 College Precalculus Questions: Ace Your College Exams: 3 Reading Tests + 3 Writing Tests + 3 Mathematics Tests (McGraw-Hill’s 500 Questions)
McGraw-Hill’s 500 Precalculus Questions Also in McGraw-Hill’s 500 Questions Series McGraw-Hill’s 500 American Government Questions: Ace Your College Exams McGraw-Hill’s 500 College Algebra and Trigonometry Questions: Ace Your College Exams McGraw-Hill’s 500 College Biology Questions: Ace Your College Exams McGraw-Hill’s 500 College Calculus Questions: Ace Your College Exams McGraw-Hill’s 500 College Chemistry Questions: Ace Your College Exams McGraw-Hill’s 500 College Physics Questions: Ace Your College Exams McGraw-Hill’s 500 Differential Equations Questions: Ace Your College Exams McGraw-Hill’s 500 European History Questions: Ace Your College Exams McGraw-Hill’s 500 French Questions: Ace Your College Exams McGraw-Hill’s 500 Linear Algebra Questions: Ace Your College Exams McGraw-Hill’s 500 Macroeconomics Questions: Ace Your College Exams McGraw-Hill’s 500 Microeconomics Questions: Ace Your College Exams McGraw-Hill’s 500 Organic Chemistry Questions: Ace Your College Exams McGraw-Hill’s 500 Philosophy Questions: Ace Your College Exams McGraw-Hill’s 500 Physical Chemistry Questions: Ace Your College Exams McGraw-Hill’s 500 Psychology Questions: Ace Your College Exams McGraw-Hill’s 500 Spanish Questions: Ace Your College Exams McGraw-Hill’s 500 U.S. History Questions, Volume 1: Ace Your College Exams McGraw-Hill’s 500 U.S. History Questions, Volume 2: Ace Your College Exams McGraw-Hill’s 500 World History Questions, Volume 1: Ace Your College Exams McGraw-Hill’s 500 World History Questions, Volume 2: Ace Your College Exams McGraw-Hill’s 500 MCAT Biology Questions to Know by Test Day McGraw-Hill’s 500 MCAT General Chemistry Questions to Know by Test Day McGraw-Hill’s 500 MCAT Organic Chemistry Questions to Know by Test Day McGraw-Hill’s 500 MCAT Physics Questions to Know by Test Day McGraw-Hill’s 500 Precalculus Questions Ace Your College Exams Sandra McCune William Clark New York Chicago San Francisco Lisbon London Madrid Mexico City Milan New Delhi San Juan Seoul Singapore Sydney Toronto Copyright© 2013 by The McGraw-Hill Companies, Inc. All rights reserved. Except as permitted under the United States Copyright Act of 1976, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the publisher. ISBN: 978-0-07-178954-7 MHID: 0-07-178954-5 The material in this eBook also appears in the print version of this title: ISBN: 978-0-07-178953-0, MHID: 0-07-178953-7. All trademarks are trademarks of their respective owners. Rather than put a trademark symbol after every occurrence of a trademarked name, we use names in an editorial fashion only, and to the benefit of the trademark owner, with no intention of infringement of the trademark. Where such designations appear in this book, they have been printed with initial caps. McGraw-Hill eBooks are available at special quantity discounts to use as premiums and sales promotions, or for use in corporate training programs. 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CONTENTS Introduction Chapter 1 Basic Algebraic Skills Working with Real Numbers Questions 1–40 Complex Numbers Questions 41–55 The Cartesian Coordinate System Questions 56–65 Chapter 2 Precalculus Function Skills Basic Function Concepts Questions 66–78 Operations with Functions Questions 79–120 Chapter 3 Graphs of Functions Basic Graphing Concepts Questions 121–130 Increasing and Decreasing Behavior and Extrema Questions 131–137 Function Transformations Questions 138–165 Chapter 4 Linear and Quadratic Functions, Equations, and Inequalities Linear Functions Questions 166–174 Linear Equations and Inequalities Questions 175–182 Quadratic Functions Questions 183–196 Quadratic Equations and Inequalities Questions 197–207 Average Rate of Change and Difference Quotients for Linear and Quadratic Functions Questions 208–220 Linear and Quadratic Function Models and Applications Questions 221–230 Chapter 5 Polynomial and Rational Functions Polynomial Functions Questions 231–236 Remainder Theorem, Factor Theorem, and Fundamental Theorem of Algebra Questions 237–245 Descartes’ Rule of Signs and Rational Root Theorem Questions 246–250 Rational Functions Questions 251–256 Vertical, Horizontal, and Oblique Asymptotes and Holes in Graphs of Rational Functions Questions 257–266 Behavior of Polynomial and Rational Functions Near ±∞ Questions 267–272 Chapter 6 Exponential, Logarithmic, and Other Common Functions Exponential Functions Questions 273–281 Logarithmic Functions Questions 282–294 Exponential and Logarithmic Equations Questions 295–302 Other Common Functions Questions 303–312 Chapter 7 Matrices and Systems of Linear Equations Basic Concepts of Matrices Questions 313–322 Determinants and Inverses Questions 323–332 Solving Systems of Linear Equations Using Inverse Matrices Questions 333–334 Solving Systems of Linear Equations Using Cramer’s Rule Questions 335–339 Solving Systems of Linear Equations Using Elementary Row Transformations Questions 340–342 Chapter 8 Sequences, Series, and Mathematical Induction Sequences Questions 343–362 Series Questions 363–372 Mathematical Induction Questions 373–382 Chapter 9 Trigonometric Functions Angle Measurement Questions 383–392 Trigonometric Functions Questions 393–407 Trigonometric Graphs and Transformations Questions 408–432 Chapter 10 Analytic Trigonometry Fundamental Trigonometric Identities Questions 433–442 Sum and Difference Identities Questions 443–455 Double- and Half-Angle Identities Questions 456–460 Trigonometric Equations Questions 461–472 Solving Triangles Questions 473–482 Chapter 11 Conic Sections The Circle Questions 483–488 The Ellipse Questions 489–493 The Hyperbola Questions 494–497 The Parabola Questions 498–501 Answers INTRODUCTION Congratulations! You’ve taken a big step toward college success by purchasing McGraw-Hill’s 500 Precalculus Questions. We are here to help you take the next step and prepare for your midterms, finals, and other exams so you can get the top grades you want! This book gives you 500 questions that cover the most essential concepts in elementary and intermediate precalculus and in much of advanced precalculus. In the Answers section, for each problem, you’ll find a detailed way to reach the solution. The questions and solutions will give you valuable independent practice to supplement your regular textbook and the ground you have already covered in your precalculus class. This book and the others in this series were written by expert teachers who know the subject inside and out and can identify crucial information as well as the kinds of questions that are most likely to appear on your exams. You might be the kind of student who spends weeks preparing for an exam. Or you might be the kind of student who puts off your exam preparation until the last minute. No matter what your preparation style, you will benefit from reviewing these 500 questions, covering the precalculus concepts you need to know to get top scores. These questions and solutions are the ideal preparation tool for any college precalculus test. If you practice with all the questions and solutions in this book, we are certain you will build skills and gain the confidence needed to excel on your exams. Good luck! —The Editors of McGraw-Hill Education 1 CHAPTER Basic Algebraic Skills Working with Real Numbers 1. List all the sets in the real number system to which the given number belongs. (A) 15 (B) (C) –π (D) –100 (E) 2. Use interval notation to represent the indicated interval. State the interval type. (A) all numbers less than –4.5 (B) –12 ≤ x ≤ 28 (C) (D) all negative numbers (E) all real numbers 3. For each statement, tell which of the following properties of the real numbers, R, with respect to the operations of addition and multiplication is illustrated: Closure, Commutative, Associative, Additive Identity, Multiplicative Identity, Additive Inverse, Multiplicative Inverse, Distributive Property, Zero Factor Property. (A) 0.45(2500) ∈ R (B) (C)
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