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Algebra 1 Algebra 1 Volume 1 TIMOTHY D. KANOLD EDWARD B. BURGER JULI K. DIXON MATTHEW R. LARSON STEVEN J. LEINWAND © Houghton Mifflin Harcourt Publishing Company • Cover/Title Page (Golden Gate Bridge, CA) holbox/ Shutterstock; (Dome of Botanic Garden, Milwaukee, WI) Henryk Sadura/Shutterstock; (Bodie Island Lighthouse, NC) Dave Allen Photography/Shutterstock. Possession of this publication in print format does not entitle users to convert this publication, or any portion of it, into electronic format. If you have received these materials as examination copies free of charge, Houghton Mifflin Harcourt Publishing Company retains title to the materials and they may not be resold. Resale of examination copies is strictly prohibited. Copyright © 2015 by Houghton Mifflin Harcourt Publishing Company All rights reserved. No part of this work may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying or recording, or by any information storage and retrieval system, without the prior written permission of the copyright owner unless such copying is expressly permitted by federal copyright law. Requests for permission to make copies of any part of the work should be addressed to Houghton Mifflin Harcourt Publishing Company, Attn: Contracts, Copyrights, and Licensing, 9400 Southpark Center Loop, Orlando, Florida 32819-8647. Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. This product is not sponsored or endorsed by the Common Core State Standards Initiative of the National Governors Association Center for Best Practices and the Council of Chief State School Officers. Printed in the U.S.A. ISBN 978-0-544-36817-0 1 2 3 4 5 6 7 8 9 10 XXXX 22 21 20 19 18 17 16 15 14 4500000000 B C D E F G Authors Timothy D. Kanold, Ph.D., is an award-winning international educator, author, and consultant. He is a former superintendent and director of mathematics and science at Adlai E. Stevenson High School District 125 in Lincolnshire, Illinois. He is a past president of the National Council of Supervisors of Mathematics (NCSM) and the Council for the Presidential Awardees of Mathematics (CPAM). He has served on several writing and leadership commissions for NCTM during the past decade. He presents motivational professional development seminars with a focus on developing professional learning communities (PLC’s) to improve the teaching, assessing, and learning of students. He has recently authored nationally recognized articles, books, and textbooks for mathematics education and school leadership, including What Every Principal Needs to Know about the Teaching and Learning of Mathematics. Edward B. Burger, Ph.D., is the President of Southwestern University, a former Francis Christopher Oakley Third Century Professor of Mathematics at Williams College, and a former vice provost at Baylor University. He has authored or coauthored more than sixty- five articles, books, and video series; delivered over five hundred addresses and workshops throughout the world; and made more than fifty radio and television appearances. He is a Fellow of the American Mathematical Society as well as having earned many national honors, including the Robert Foster Cherry Award for Great Teaching in 2010. In 2012, Microsoft Education named him a “Global Hero in Education.” Juli K. Dixon, Ph.D., is a Professor of Mathematics Education at the University of Central Florida. She has taught mathematics in urban schools at the elementary, middle, secondary, and post-secondary levels. She is an active researcher and speaker with numerous publications and conference presentations. Key areas of focus are deepening teachers’ content knowledge and communicating and justifying mathematical ideas. She is a past chair of the NCTM Student Explorations in Mathematics Editorial Panel and member of the Board of Directors for the Association of Mathematics Teacher Educators. Matthew R. Larson, Ph.D., is the K-12 mathematics curriculum specialist for the Lincoln Public Schools and served on the Board of Directors for the National Council of Teachers of Mathematics from 2010 to 2013. He is a past chair of NCTM’s Research Committee and was a member of NCTM’s Task Force on Linking Research and Practice. He is the author of several books on implementing the Common Core Standards for Mathematics. He has taught mathematics at the secondary and college levels and held an appointment as an honorary visiting associate professor at Teachers College, Columbia University. Steven J. Leinwand is a Principal Research Analyst at the American Institutes for Research (AIR) in Washington, D.C., and has over 30 years in leadership positions in mathematics education. He is past president of the National Council of Supervisors of Mathematics and served on the NCTM Board of Directors. He is the author of numerous articles, books, and textbooks and has made countless presentations with topics including student achievement, reasoning, effective assessment, and successful implementation of standards. Robert Kaplinsky Teacher Specialist, Mathematics Downey Unified School District Downey, California Mindy Eden Richwoods High School Peoria School District Peoria, IL Dustin Johnson Badger High School Math Teacher Department Chair Lake Geneva-Genoa City Union High School District Lake Geneva, WI Ashley D. McSwain Murray High School Murray City School District Salt Lake City, UT Rebecca Quinn Doherty Memorial High School Worcester Public Schools District Worcester, MA Ted Ryan Madison LaFollette High School Madison Metropolitan School District Madison, WI Tony Scoles Fort Zumwalt School District O’Fallon, MO Cynthia L. Smith Higley Unified School District Gilbert, AZ Phillip E. Spellane Doherty Memorial High School Worcester Public Schools District Worcester, MA Mona Toncheff Math Content Specialist Phoenix Union High School District Phoenix, AZ Performance Task Consultant Reviewers Michael A. DiSpezio Global Educator North Falmouth, Massachusetts Michael R. Heithaus Executive Director, School of Environment, Arts, and Society Professor, Department of Biological Sciences Florida International University North Miami, Florida STEM Consultants Science, Technology, Engineering, and Mathematics UNIT Volume 1 © Houghton Mifflin Harcourt Publishing Company • Image Credits: (t) ©Photodisc/Getty Images; (b) ©Monkey Business images/Shutterstock 1 Quantities and Modeling Math in Careers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Reading Start-Up . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Quantitative Reasoning Real-World Video . . . . . . . . . . . . . .3 Are You Ready? . . . . . . . . . . . . . . . 4 1.1 Solving Equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.2 Modeling Quantities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 1.3 Reporting with Precision and Accuracy . . . . . . . . . . . . . . . . . . . . . 27 Study Guide Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 Module Performance Task . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 Ready to Go On?. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 Assessment Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 Algebraic Models Real-World Video . . . . . . . . . . . . 43 Are You Ready? . . . . . . . . . . . . . . 44 2.1 Modeling with Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 2.2 Creating and Solving Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 2.3 Solving for a Variable. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 2.4 Creating and Solving Inequalities. . . . . . . . . . . . . . . . . . . . . . . . . . . 73 2.5 Creating and Solving Compound Inequalities . . . . . . . . . . . . . . . 81 Study Guide Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 Module Performance Task . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94 Ready to Go On?. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95 Assessment Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96 Unit 1 Assessment Readiness. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .97 MODULE1 MODULE2 UNIT Volume 1 © Houghton Mifflin Harcourt Publishing Company • Image Credits: (t) ©John Fedele/Blend Images/Alamy; (b) ©Dusit/Shutterstock Understanding Functions Math in Careers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 Reading Start-Up . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102 2 Functions and Models Real-World Video . . . . . . . . . . . 103 Are You Ready? . . . . . . . . . . . . .104 3.1 Graphing Relationships . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 3.2 Understanding Relations and Functions . . . . . . . . . . . . . . . . . . . 115 3.3 Modeling with Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127 3.4 Graphing Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137 Study Guide Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .149 Module Performance Task . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .150 Ready to Go On?. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .151 Assessment Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .152 Patterns and Sequences Real-World Video . . . . . . . . . . . 153 Are You Ready? . . . . . . . . . . . . .154 4.1 Identifying and Graphing Sequences . . . . . . . . . . . . . . . . . . . . . . 155 4.2 Constructing Arithmetic Sequences . . . . . . . . . . . . . . . . . . . . . . . 165 4.3 Modeling with Arithmetic Sequences. . . . . . . . . . . . . . . . . . . . . . 175 Study Guide Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .187 Module Performance Task . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .188 Ready to Go On?. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .189 Assessment Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .190 Unit 2 Assessment Readiness. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191 MODULE3 MODULE4 Volume 1 UNIT © Houghton Mifflin Harcourt Publishing Company • Image Credits: (t) ©George Doyle/Getty Images; (b) ©Cessna152/Shutterstock Linear Functions, Equations, and Inequalities Math in Careers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 195 Reading Start-Up . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 196 3 Linear Functions Real-World Video . . . . . . . . . . . 197 Are You Ready? . . . . . . . . . . . . .198 5.1 Understanding Linear Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . 199 5.2 Using Intercepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 211 5.3 Interpreting Rate of Change and Slope . . . . . . . . . . . . . . . . . . . . 221 Study Guide Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .233 Module Performance Task . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .234 Ready to Go On?. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .235 Assessment Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .236 Forms of Linear Equations Real-World Video . . . . . . . . . . . 237 Are You Ready? . . . . . . . . . . . . .238 6.1 Slope-Intercept Form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 239 6.2 Point-Slope Form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 249 6.3 Standard Form. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 261 6.4 Transforming Linear Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 269 6.5 Comparing Properties of Linear Functions . . . . . . . . . . . . . . . . . 281 Study Guide Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .295 Module Performance Task . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .296 Ready to Go On?. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .297 Assessment Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .298 MODULE5 MODULE6 Volume 1 UNIT © Houghton Mifflin Harcourt Publishing Company • Image Credits: ©Image Source/Getty Images 3 Linear Equations and Inequalities Real-World Video . . . . . . . . . . . 299 Are You Ready? . . . . . . . . . . . . .300 7.1 Modeling Linear Relationships. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 301 7.2 Using Functions to Solve One-Variable Equations . . . . . . . . . . 309 7.3 Linear Inequalities in Two Variables . . . . . . . . . . . . . . . . . . . . . . . . 323 Study Guide Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .335 Module Performance Task . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .336 Ready to Go On?. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .337 Assessment Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .338 Unit 3 Assessment Readiness. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 339 MODULE7 UNIT Volume 1 © Houghton Mifflin Harcourt Publishing Company • Image Credits: (t) ©Daniel Padavona/Shutterstock; (b) ©Duane Osborn/Somos Images/Corbis 4 Statistical Models Math in Careers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 343 Reading Start-Up . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 344 Multi-Variable Categorical Data Real-World Video . . . . . . . . . . . 345 Are You Ready? . . . . . . . . . . . . .346 8.1 Two-Way Frequency Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 347 8.2 Relative Frequency. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 359 Study Guide Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .371 Module Performance Task . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .372 Ready to Go On?. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .373 Assessment Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .374 One-Variable Data Distributions Real-World Video . . . . . . . . . . . 375 Are You Ready? . . . . . . . . . . . . .376 9.1 Measures of Center and Spread. . . . . . . . . . . . . . . . . . . . . . . . . . . . 377 9.2 Data Distributions and Outliers . . . . . . . . . . . . . . . . . . . . . . . . . . . . 389 9.3 Histograms and Box Plots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 401 9.4 Normal Distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 417 Study Guide Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .429 Module Performance Task . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .430 Ready to Go On?. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .431 Assessment Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .432 MODULE8 MODULE9 © Houghton Mifflin Harcourt Publishing Company • Image Credits: ©John Elk III/Alamy Linear Modeling and Regression Real-World Video . . . . . . . . . . . 433 Are You Ready? . . . . . . . . . . . . .434 10.1 Scatter Plots and Trend Lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 435 10.2 Fitting a Linear Model to Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . 451 Study Guide Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .467 Module Performance Task . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .468 Ready to Go On?. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .469 Assessment Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .470 Unit 4 Assessment Readiness. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 471 MODULE10 © Houghton Mifflin Harcourt Publishing Company • Image Credits: (t) ©Handout/Reuters/Corbis; (b) ©Richard Green/Alamy Solving Systems of Linear Equations Real-World Video . . . . . . . . . . . 477 Are You Ready? . . . . . . . . . . . . .478 11.1 Solving Linear Systems by Graphing. . . . . . . . . . . . . . . . . . . . . . 479 11.2 Solving Linear Systems by Substitution . . . . . . . . . . . . . . . . . . . 491 11.3 Solving Linear Systems by Adding or Subtracting . . . . . . . . . 503 11.4 Solving Linear Systems by Multiplying First . . . . . . . . . . . . . . . 515 Study Guide Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .527 Module Performance Task . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .528 Ready to Go On?. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .529 Assessment Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .530 Modeling with Linear Systems Real-World Video . . . . . . . . . . . 531 Are You Ready? . . . . . . . . . . . . .532 12.1 Creating Systems of Linear Equations . . . . . . . . . . . . . . . . . . . . 533 12.2 Graphing Systems of Linear Inequalities. . . . . . . . . . . . . . . . . . 547 12.3 Modeling with Linear Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . 557 Study Guide Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .571 Module Performance Task . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .572 Ready to Go On?. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .573 Assessment Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .574 UNIT5 Volume 1 Linear Systems and Piecewise-Defined Functions Math in Careers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 475 Reading Start-Up . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 476 MODULE11 MODULE12 © Houghton Mifflin Harcourt Publishing Company• Image Credits: ©Fuse/ Getty Images Piecewise-Defined Functions Real-World Video . . . . . . . . . . . 575 Are You Ready? . . . . . . . . . . . . .576 13.1 Understanding Piecewise-Defined Functions . . . . . . . . . . . . . 577 13.2 Absolute Value Functions and Transformations . . . . . . . . . . . 589 13.3 Solving Absolute Value Equations . . . . . . . . . . . . . . . . . . . . . . . . 601 13.4 Solving Absolute Value Inequalities . . . . . . . . . . . . . . . . . . . . . . 611 Study Guide Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .625 Module Performance Task . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .626 Ready to Go On?. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .627 Assessment Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .628 Unit 5 Assessment Readiness. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 629 MODULE13 © Houghton Mifflin Harcourt Publishing Company • Image Credits: (t) ©Photodisc/Getty Images; (b) ©RLHambley/Shutterstock Rational Exponents and Radicals Real-World Video . . . . . . . . . . . 635 Are You Ready? . . . . . . . . . . . . .636 14.1 Understanding Rational Exponents and Radicals. . . . . . . . . . 637 14.2 Simplifying Expressions with Rational Exponents and Radicals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 647 Study Guide Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .661 Module Performance Task. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .662 Ready to Go On? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .663 Assessment Readiness. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .664 Geometric Sequences and Exponential Functions Real-World Video . . . . . . . . . . . 665 Are You Ready? . . . . . . . . . . . . .666 15.1 Understanding Geometric Sequences . . . . . . . . . . . . . . . . . . . . 667 15.2 Constructing Geometric Sequences . . . . . . . . . . . . . . . . . . . . . . 679 15.3 Constructing Exponential Functions. . . . . . . . . . . . . . . . . . . . . . 693 15.4 Graphing Exponential Functions . . . . . . . . . . . . . . . . . . . . . . . . . 707 15.5 Transforming Exponential Functions. . . . . . . . . . . . . . . . . . . . . . 721 Study Guide Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .733 Module Performance Task. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .734 Ready to Go On? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .735 Assessment Readiness. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .736 Exponential Relationships Math in Careers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 633 Reading Start-Up . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 634 UNIT6 Volume 2 MODULE14 MODULE15 © Houghton Mifflin Harcourt Publishing Company • Image Credits: (t) ©Everett Collection Inc/Alamy Images Exponential Equations and Models Real-World Video . . . . . . . . . . . 737 Are You Ready? . . . . . . . . . . . . .738 16.1 Using Graphs and Properties to Solve Equations with Exponents . . . . . . . . . . . . . . . . . . . . . . . . . 739 16.2 Modeling Exponential Growth and Decay. . . . . . . . . . . . . . . . . 751 16.3 Using Exponential Regression Models . . . . . . . . . . . . . . . . . . . . 765 16.4 Comparing Linear and Exponential Models . . . . . . . . . . . . . . . 779 Study Guide Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .793 Module Performance Task. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .794 Ready to Go On? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .795 Assessment Readiness. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .796 Unit 6 Assessment Readiness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .797 MODULE16 © Houghton Mifflin Harcourt Publishing Company • Image Credits: ©Joseph McNally/Photonica World/Getty Images Polynomial Operations Math in Careers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 801 Reading Start-Up . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 802 Adding and Subtracting Polynomials Real-World Video . . . . . . . . . . . 803 Are You Ready? . . . . . . . . . . . . .804 17.1 Understanding Polynomial Expressions . . . . . . . . . . . . . . . . . . . . . . . 805 17.2 Adding Polynomial Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 817 17.3 Subtracting Polynomial Expressions. . . . . . . . . . . . . . . . . . . . . . . . . . . 829 Study Guide Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .841 Module Performance Task. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .842 Ready to Go On? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .843 Assessment Readiness. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .844 UNIT7 Volume 2 MODULE17

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