Viewing Life Mathematically + Integrated Review Guided Notebook Version 2 Annotated Instructor's Edition © All Rights Reser ved.© All Rights Reser ved.Version 2 Viewing Life Mathematically +Integrated Review Guided Notebook Annotated Instructor's Edition VLMR_GN_v2_Preface.indd 19/27/2018 2:52:27 PM © All Rights Reser ved.Editors: Robin Hendrix, S. Rebecca Johnson, Barbara Miller, Amber Widmer Copy Editors: Mary Janelle Cady, Rebecca Lebeaux Creative Director: Tee Jay Zajac Designers: Natalie Ezabele, Trudy Gove, Patrick Thompson Cover Design: Patrick Thompson VP Research & Development: Marcel Prevuznak Director of Content: Kara Roché Composition and Answer Key Assistance: QSI (Pvt.) Ltd. A division of Quant Systems, Inc. 546 Long Point Road, Mount Pleasant, SC 29464 Copyright © 2020, 2019 by Hawkes Learning / Quant Systems, Inc. All rights reserved. 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Printed in the United States of America 10 9 8 7 6 5 4 3 2 1 ISBN: 978-1-64277-099-5 AIE ISBN: 978-1-64277-100-8 VLMR_GN_v2_Preface.indd 2VLMR_GN_v2_Preface.indd 211/25/2019 2:31:35 PM11/25/2019 2:31:35 PM © All Rights Reser ved.Table of Contents Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .iii Math Knowledge Required for Math@Work Career Explorations . . . . . . . . . . . . . . . . . . viii How to Use the Guided Notebook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .xi Strategies for Academic Success How to Read a Math Textbook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xvi Tips for Success in a Math Course . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .xvii Tips for Improving Math Test Scores. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xviii Practice, Patience, and Persistence! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xix Note Taking . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xx Do I Need a Math Tutor? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xxi Tips for Improving Your Memory. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .xxii Overcoming Anxiety . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xxiii Online Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xxiv Preparing for a Final Math Exam . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .xxv Managing Your Time Effectively . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xxvii CHAPTER 1.R Review Concepts for Critical Thinking and Problem Solving 1.R.1 Introduction to Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.R.2 Rounding and Estimating with Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.R.3 Exponents and Order of Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.R.4 Problem Solving with Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 1.R.5 Translating English Phrases and Algebraic Expressions . . . . . . . . . . . . . . . . . . . . 19 1.R.6 Solving Linear Equations: ax + b = c. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 CHAPTER 2.R Review Concepts for Set Theory 2.R.1 The Real Number Line and Absolute Value . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 2.R.2 Addition with Real Numbers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 2.R.3 Subtraction with Real Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 2.R.4 Multiplication and Division with Real Numbers . . . . . . . . . . . . . . . . . . . . . . . . . 41 2.R.5 Order of Operations with Real Numbers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 VLMR_GN_v2_Book.indb 39/26/2018 4:38:36 PM © All Rights Reser ved.CHAPTER 4.R Review Concepts for Rates, Ratios, Proportions, and Percentages 4.R.1 Introduction to Fractions and Mixed Numbers . . . . . . . . . . . . . . . . . . . . . . . . . 51 4.R.2 Introduction to Decimal Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 4.R.3 Decimals and Percents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 4.R.4 Fractions and Percents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 4.R.5 Solving Percent Problems Using Proportions . . . . . . . . . . . . . . . . . . . . . . . . . . 69 CHAPTER 5.R Review Concepts for The Mathematics of Growth 5.R.1 The Cartesian Coordinate System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 5.R.2 Graphing Linear Equations in Two Variables . . . . . . . . . . . . . . . . . . . . . . . . . . 81 5.R.3 Rules for Exponents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 5.R.4 Greatest Common Factor (GCF) of a Set of Terms . . . . . . . . . . . . . . . . . . . . . . . 89 5.R.5 Factoring Trinomials: x2 + bx + c . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 5.R.6 Factoring Trinomials: ax2 + bx + c . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 5.R.7 Special Factoring Techniques . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 5.R.8 Quadratic Equations: The Quadratic Formula . . . . . . . . . . . . . . . . . . . . . . . . . 105 CHAPTER 6.R Review Concepts for Geometry 6.R.1 Proportions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111 6.R.2 Square Roots and the Pythagorean Theorem . . . . . . . . . . . . . . . . . . . . . . . . . 115 6.R.3 Simplifying Algebraic Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119 6.R.4 Evaluating Algebraic Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123 6.R.5 Working with Formulas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127 CHAPTER 7.R Review Concepts for Probability 7.R.1 Multiplication and Division with Fractions and Mixed Numbers . . . . . . . . . . . . . . . .133 7.R.2 Least Common Multiple (LCM) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141 7.R.3 Addition and Subtraction with Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145 7.R.4 Decimal Numbers and Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149 ivPreface Table of Contents VLMR_GN_v2_Book.indb 49/26/2018 4:38:36 PM © All Rights Reser ved.CHAPTER 8.R Review Concepts for Statistics 8.R.1 Decimals and Percents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 155 8.R.2 Fractions and Percents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 159 8.R.3 Working with Formulas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 163 8.R.4 The Cartesian Coordinate System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167 8.R.5 Graphing Linear Equations in Two Variables . . . . . . . . . . . . . . . . . . . . . . . . . 173 8.R.6 Slope-Intercept Form. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177 8.R.7 Evaluating Radicals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181 CHAPTER 9.R Review Concepts for Personal Finance 9.R.1 Introduction to Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 187 9.R.2 Addition and Subtraction with Whole Numbers. . . . . . . . . . . . . . . . . . . . . . . . 191 9.R.3 Exponents and Order of Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 195 9.R.4 Introduction to Decimal Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199 9.R.5 Decimals and Percents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 203 9.R.6 Solving Percent Problems Using Equations . . . . . . . . . . . . . . . . . . . . . . . . . . 207 9.R.7 Simplifying and Evaluating Algebraic Expressions . . . . . . . . . . . . . . . . . . . . . . 211 CHAPTER 10.R Review Concepts for Voting and Apportionment 10.R.1 Addition and Subtraction with Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . 217 10.R.2 Introduction to Decimal Numbers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 221 CHAPTER 11.R Review Concepts for The Arts 11.R.1 Decimal Numbers and Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 227 11.R.2 Ratios, Unit Rates, and Proportions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 231 11.R.3 Angles and Triangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 237 11.R.4 Rules for Exponents. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 247 11.R.5 Rationalizing Denominators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 251 11.R.6 Quadratic Equations: The Quadratic Formula . . . . . . . . . . . . . . . . . . . . . . . . 255 vTable of Contents Preface VLMR_GN_v2_Book.indb 59/26/2018 4:38:37 PM © All Rights Reser ved.CHAPTER 12.R Review Concepts for Sports 12.R.1 Exponents and Order of Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 261 12.R.2 Ratios, Unit Rates, and Proportions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 265 12.R.3 Simplifying and Evaluating Algebraic Expressions . . . . . . . . . . . . . . . . . . . . . . 271 12.R.4 US Measurements. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 275 12.R.5 The Metric System: Length and Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 277 12.R.6 US and Metric Equivalents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 281 CHAPTER 13.R Review Concepts for Graph Theory 13.R.1 Solving Linear Equations: ax + b = c . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 287 13.R.2 The Real Number Line and Absolute Value . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 291 CHAPTER 14.R Review Concepts for Number Theory 14.R.1 Multiplication with Whole Numbers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 297 14.R.2 Division with Whole Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 301 14.R.3 Tests for Divisibility . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 305 14.R.4 Rules for Exponents. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 309 14.R.5 Power Rules for Exponents. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 313 14.R.6 Evaluating Radicals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 317 viPreface Table of Contents VLMR_GN_v2_Book.indb 69/26/2018 4:38:37 PM © All Rights Reser ved.Math@Work Basic Inventory Management. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 323 Hospitality Management: Preparing for a Dinner Service . . . . . . . . . . . . . . . . . . . . . . 325 Bookkeeper . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 327 Pediatric Nurse . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 329 Architecture. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 331 Statistician: Quality Control . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 333 Dental Assistant . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 335 Financial Advisor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 337 Market Research Analyst . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 339 Chemistry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 341 Astronomy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 343 Math Education. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 345 Physics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 347 Forensic Scientist. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 349 Other Careers in Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 351 Answer Key . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 353 viiTable of Contents Preface VLMR_GN_v2_Book.indb 79/26/2018 4:38:37 PM © All Rights Reser ved.Next >