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ALGEBRA 1

About Algebra 1

The content of Algebra 1 is organized around families of functions,with special emphasis on linear and quadratic functions. As you study each family of functions, you will learn to represent them in multiple ways—as verbal descriptions, equations, tables, and graphs. You willalso learn to model real-world situations using functions in order tosolve problems arising from those situations.

In addition to its algebra content, Algebra 1 includes lessons onprobability and data analysis as well as numerous examples andexercises involving geometry. These math topics often appear on standardized tests, so maintaining your familiarity with them isimportant. To help you prepare for standardized tests, Algebra 1provides instruction and practice on standardized test questions in a variety of formats—multiple choice, short response, extended response, and so on. Technology support for both learning algebra and preparingfor standardized tests is available at classzone.com.

Ron LarsonLaurie Boswell

Timothy D. KanoldLee Stiff

ALGEBRA 1

iv

Copyright © 2007 McDougal Littell, a division of Houghton Mifflin Company.

All rights reserved.

Warning: No part of this work may be reproduced or transmitted in any form or

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or by any information storage or retrieval system without the prior written

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federal copyright law. Address inquiries to Supervisor, Rights and Permissions,

McDougal Littell, P.O. Box 1667, Evanston, IL 60204.

ISBN-13: 978-0-6185-9402-3

ISBN-10: 0-618-59402-7 123456789—WMW—09 08 07 06 05

Internet Web Site: http://www.mcdougallittell.com

v

Timothy D. Kanold is the superintendent of Adlai E. Stevenson High School District 125 in Lincolnshire, Illinois. Dr. Kanold served as a teacher and director of mathematics for 17 years prior to becoming superintendent. He is the recipient of the Presidential Award for Excellence in Mathematics and Science Teaching, and a past president of the Council for Presidential Awardees in Mathematics. Dr. Kanold is a frequent speaker at national and international mathematics meetings.

Lee Stiff is a professor of mathematics education in the College of Education and Psychology of North Carolina State University at Raleigh and has taught mathematics at the high school and middle school levels. He served on the NCTM Board of Directors and was elected President of NCTM for the years 2000–2002. He is a recipient of the W. W. Rankin Award for Excellence in Mathematics Education presented by the North Carolina Council of Teachers of Mathematics.

Laurie Boswell is a mathematics teacher at The Riverside School in Lyndonville, Vermont, and has taught mathematics at all levels, elementary through college. A recipient of the Presidential Award for Excellence in Mathematics Teaching, she was also a Tandy Technology Scholar. She served on the NCTM Board of Directors (2002–2005), and she speaks frequently at regional and national conferences on topics related to instructional strategies and course content.

Ron Larson is a professor of mathematics at Penn State University at Erie, where he has taught since receiving his Ph.D. in mathematics from the University of Colorado. Dr. Larson is well known as the author of a comprehensive program for mathematics that spans middle school, high school, and college courses.Dr. Larson’s numerous professional activities keep him in constant touch with the needs of teachers and supervisors. He closelyfollows developments in mathematics standards and assessment.

About the Authors

vi

Advisers and Reviewers

Curriculum Advisers and ReviewersCindy Branson Ronald J. Labrocca Richard ParrMathematics Teacher District Math Coordinator K–12 Director of Educational

Creekview High School Manhasset Public Schools Technology, School

Carrollton, TX Manhasset, NY Mathematics Project

Rice University

Houston, TX

Rhonda Foote John McHugh Rebecca S. PoeSecondary Math Resource Specialist Mathematics Department Chair Mathematics Teacher

North Kansas City School District Holbrook Middle School Winnsboro High School

Kansas City, MO Lowell, NC Winnsboro, TX

Ruth Hadnot Fizza Munaim Peggy S. Winfree WhiteMathematics Department Chair Mathematics Teacher Mathematics Teacher

Chicago Military Academy–Bronzeville Eastwood High School Caprock High School

Chicago, IL El Paso, TX Amarillo, TX

Michael J. Klein Anne PapakonstantinouEducational Consultant Director, School Mathematics Project

Macomb ISD Rice University

Clinton Township, MI Houston, TX

California PanelMonette Bartel Alberto Hernandez Galindo Alvin E. Nash, Jr.Associate Adjunct Professor Mathematics Department Chair Mathematics Teacher

College of the Canyons San Jose High Academy Pasadena High School

Valencia, CA San Jose, CA Pasadena, CA

Janice Beauchamp Tom Griffith Jon SimonMathematics Teacher Mathematics Department Chair Mathematics Teacher

Buchanan High School Scripps Ranch High School Casa Grande High School

Clovis, CA San Diego, CA Petaluma, CA

Pauline Embree Debra KonvalinMathematics Department Chair Mathematics Teacher

Rancho San Joaquin Middle School Hiram W. Johnson High School

Irvine, CA Sacramento, CA

vii

Kansas and Missouri PanelKansas and Missouri PanelArlene Banks Phillip Gegen Steve SniderMathematics Teacher Mathematics Teacher Mathematics Teacher

Westridge Middle School Oak Park High School Spring Garden Middle School

Overland Park, KS Kansas City, MO St. Joseph, MO

Jan Berghaus Jason Godfrey Karen StohlmannMathematics Teacher Mathematics Teacher Mathematics Teacher

Shawnee Mission West High School Grandview High School Blue Valley Northwest High School

Overland Park, KS Grandview, MO Overland Park, KS

Dennis Dickson Deborah Reilly Deborah SylvesterMathematics Teacher Mathematics Teacher Mathematics Teacher

Leavenworth High School West Middle School Manhattan High School

Leavenworth, KS Leavenworth, KS Manhattan, KS

Coleen Floberg Karen S. Skinner Maureen WilliamsMathematics Teacher Mathematics Teacher Mathematics Department Chair

Highland Park High School New Mark Middle School Southwest Junior High School

Topeka, KS Kansas City, MO Lawrence, KS

Texas PanelLeticia Alvarado William Lee Littles Bertha StimacMathematics Department Chair Mathematics Teacher Instructional Specialist

Hornedo Middle School Central High School Elsik 9th Grade Center

El Paso, TX Beaumont, TX Houston, TX

Leticia Gonzales-Reynolds Maria Magdalena Lucio Tommie L. WalshMathematics Teacher Mathematics Department Chair Mathematics Teacher

Crockett High School Homer Hanna High School Smylie Wilson Junior High School

Austin, TX Brownsville, TX Lubbock, TX

Maria Gossett Lori Rapp Mary WarnerMathematics Department Chair Secondary Mathematics Specialist Mathematics Teacher

E.M. Daggett Middle School Lewisville School District Richard King High School

Fort Worth, TX The Colony, TX Corpus Christi, TX

viii Contents

CHAPTER

1Expressions, Equations, andFunctionsPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xxii

1.1 Evaluate Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2

1.2 Apply Order of Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 Graphing Calculator Activity Use Order of Operations . . . . . . . . . . . . . . . . . . . . . . . 13

1.3 Write Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 Investigating Algebra Activity: Patterns and Expressions . . . . . . . . . . . . . . . . . . . . . 14

1.4 Write Equations and Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27

1.5 Use a Problem Solving Plan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34

1.6 Represent Functions as Rules and Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 Graphing Calculator Activity Make a Table . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41

1.7 Represent Functions as Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 Investigating Algebra Activity: Scatter Plots and Functions . . . . . . . . . . . . . . . . . . . 42Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51

ASSESSMENT

Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20, 33, 48Chapter Summary and Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57

★ Standardized Test Preparation and Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58

Activities . . . . . . . . . . . . . . . . . . . 1, 7, 9, 14, 21, 29, 34, 37, 50

Problem Solving, p. 290.1s 1 0.6 5 2

TECHNOLOGY

At classzone.com:

• Animated Algebra, 1, 7, 9, 14, 21, 29, 34,37, 50

• @Home Tutor, xxii, 6, 11, 13, 19, 25, 32,39, 41, 47, 53

• Online Quiz, 7, 12, 20, 26, 33, 40, 48

• Electronic Function Library, 52

• State Test Practice, 27, 51, 61

★ ASSESSMENT

• Standardized Test Practice Examples,10, 30

• Multiple Choice, 5, 6, 11, 18, 24, 25, 31,38, 46

• Short Response/Extended Response, 7,12, 20, 26, 27, 32, 33, 40, 48, 51, 58

• Writing/Open-Ended, 5, 10, 12, 18, 19,24, 25, 27, 31, 38, 39, 45, 46, 47, 51, 53

PROBLEM SOLVING

• Mixed Review of Problem Solving,27, 51

• Multiple Representations, 33, 39

• Multi-Step Problems, 6, 11, 19, 27, 40, 51

• Using Alternative Methods, 34

• Real-World Problem Solving Examples,4, 10, 17, 23, 28, 30, 35, 37, 45

Chapter 1 Highlights

Unit 1Equations inOne Variable

Contents ix


Multiplying Real Numbers, p. 90Elevation 5 6416 1 (20.12)(50)

CHAPTER

2

PROBLEM SOLVING


• Multiple Representations, 83, 93, 116

• Multi-Step Problems, 69, 78, 86, 107,115, 119


• Real-World Problem Solving Examples,65, 76, 81, 90, 98, 104, 111


★ ASSESSMENT

• Standardized Test Practice Examples, 98

• Multiple Choice, 68, 69, 78, 82, 92, 99,106, 107, 108, 114

• Short Response/Extended Response,70, 79, 83, 86, 92, 93, 100, 101, 108, 115,119, 126

• Writing/Open-Ended, 67, 77, 82, 83, 86,91, 99, 106, 107, 113, 114, 119

TECHNOLOGY

At classzone.com:

• Animated Algebra, 63, 73, 80, 90, 93, 98

• @Home Tutor, 62, 69, 78, 83, 92, 100,107, 115, 121

• Online Quiz, 70, 79, 84, 93, 101, 108, 116


Properties of Real NumbersPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62

2.1 Use Integers and Rational Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64

2.2 Add Real Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 74Investigating Algebra Activity: Addition of Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . 73

2.3 Subtract Real Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 Spreadsheet Activity Subtract Real Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86

2.4 Multiply Real Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88Investigating Algebra Activity: Multiplication by –1 . . . . . . . . . . . . . . . . . . . . . . . . . . . 87

2.5 Apply the Distributive Property . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96 Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102

2.6 Divide Real Numbers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103

2.7 Find Square Roots and Compare Real Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110Investigating Algebra Activity: Writing Statements in If-Then Form . . . . . . 109Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119

ASSESSMENT

Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84, 101, 116Chapter Summary and Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125

★ Standardized Test Preparation and Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126

Activities . . . . . . . . . . . . . . . . . . . . . . . . . . . 63, 73, 80, 90, 93, 98

x Contents


Solving Equations, p. 1438517 5 2117 1 64d

Solving Linear EquationsPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130

3.1 Solve One-Step Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 Investigating Algebra Activity: Modeling One-Step Equations . . . . . . . . . . . . . 132

3.2 Solve Two-Step Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141 Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147

3.3 Solve Multi-Step Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148

3.4 Solve Equations with Variables on Both Sides . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 154 Spreadsheet Activity Solve Equations Using Tables . . . . . . . . . . . . . . . . . . . . . . . . 160Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161

3.5 Write Ratios and Proportions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162

3.6 Solve Proportions Using Cross Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 168

3.7 Solve Percent Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 176

3.8 Rewrite Equations and Formulas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 184Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 190

ASSESSMENT

Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153, 173, 189Chapter Summary and Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 197

★ Standardized Test Preparation and Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 198Cumulative Review, Chapters 1–3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 202

Activities . . . . . . . . . . . . 131, 133, 139, 154, 176, 185, 187

CHAPTER

3

TECHNOLOGY

At classzone.com:

• Animated Algebra, 131, 133, 139, 154,176, 185, 187

• @Home Tutor, 130, 139, 145, 152, 158,160, 166, 172, 180, 188, 192

• Online Quiz, 140, 146, 153, 159, 167, 173,181, 189


★ ASSESSMENT


• Multiple Choice, 138, 144, 145, 151, 157,165, 171, 179, 187, 198

• Short Response/Extended Response,139, 140, 145, 146, 151, 152, 159, 161, 166,167, 172, 173, 180, 181, 189, 190

• Writing/Open-Ended, 137, 139, 144, 150,151, 157, 161, 165, 171, 179, 180, 181, 187,188, 190

PROBLEM SOLVING


• Multiple Representations, 139, 146, 147,153, 159, 166, 172, 188

• Multi-Step Problems, 140, 146, 161,167, 190


• Real-World Problem Solving Examples,137, 143, 150, 155, 164, 170, 178, 186


Contents xi

Graphing Linear Equations, p. 2312x 1 y 5 128

Graphing Linear Equationsand FunctionsPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 204

4.1 Plot Points in a Coordinate Plane. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 206

4.2 Graph Linear Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 215 Graphing Calculator Activity Graph Linear Equations. . . . . . . . . . . . . . . . . . . . . . 222

4.3 Graph Using Intercepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 225Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 233

4.4 Find Slope and Rate of Change . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 235 Investigating Algebra Activity: Slopes of Lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 234

4.5 Graph Using Slope-Intercept Form. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 244 Investigating Algebra Activity: Slope and y-Intercept. . . . . . . . . . . . . . . . . . . . . . . . 243

4.6 Model Direct Variation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 253 Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 260

4.7 Graph Linear Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 262Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 269

ASSESSMENT



Activities . . . . . . . . . . . . 205, 207, 216, 226, 238, 245, 254

CHAPTER

4

PROBLEM SOLVING


• Multiple Representations, 211, 221, 230,259, 260


• Using Alternative Methods, 260, 261

• Real-World Problem Solving Examples,208, 218, 227, 228, 237, 238, 245, 246,255, 256, 265


★ ASSESSMENT


• Multiple Choice, 209, 219, 220, 230, 239,247, 257, 266, 276

• Short Response/Extended Response,212, 221, 232, 233, 242, 249, 258, 259,267, 268, 269

• Writing/Open-Ended, 209, 210, 214, 219,229, 230, 233, 239, 241, 247, 248, 256, 257,265, 266, 269, 271

TECHNOLOGY

At classzone.com:


• @Home Tutor, 204, 210, 211, 220, 222,230, 241, 248, 249, 258, 267, 271

• Online Quiz, 212, 221, 232, 242, 250,259, 268



Unit 2Equations in

Two Variables

xii Contents

Slopes of Lines, p. 32112y 5 27x 1 42

CHAPTER

5

TECHNOLOGY

At classzone.com:• Animated Algebra, 281, 283, 303, 307,

311, 327, 335

• @Home Tutor, 280, 288, 291, 298, 307,315, 323, 330, 333, 339, 340, 342, 345

• Online Quiz, 289, 299, 308, 316, 324,331, 341


★ ASSESSMENT

• Standardized Test Practice Examples, 293

• Multiple Choice, 286, 297, 305, 306, 314,322, 323, 329, 339


• Writing/Open-Ended, 286, 287, 296,297, 305, 314, 317, 322, 323, 328, 329, 338,339, 343, 345

PROBLEM SOLVING


• Multiple Representations, 288, 299,315, 340

• Multi-Step Problems, 317, 343


• Real-World Problem Solving Examples,285, 294, 295, 304, 313, 321, 326, 327, 337


Unit 2Equations in

Two Variables Writing Linear EquationsPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 280

5.1 Write Linear Equations in Slope-Intercept Form . . . . . . . . . . . . . . . . . . . . . . . . . . . . 283 Investigating Algebra Activity: Modeling Linear Relationships . . . . . . . . . . . . . 282 Graphing Calculator Activity Investigate Families of Lines . . . . . . . . . . . . . . . . 290

5.2 Use Linear Equations in Slope-Intercept Form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 292 Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 300

5.3 Write Linear Equations in Point-Slope Form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 302

5.4 Write Linear Equations in Standard Form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 311Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 317

5.5 Write Equations of Parallel and Perpendicular Lines . . . . . . . . . . . . . . . . . . . . . . 319 Investigating Algebra Activity:If-Then Statements and Their Converses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 318

5.6 Fit a Line to Data. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 325 Graphing Calculator Activity Perform Linear Regression . . . . . . . . . . . . . . . . . 332

5.7 Predict with Linear Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 335 Investigating Algebra Activity: Collecting and Organizing Data . . . . . . . . . . . . 334 Internet Activity Model Data from the Internet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 342Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 343

ASSESSMENT

Quizzes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 316, 341Chapter Summary and Review. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 344Chapter Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 349


Activities . . . . . . . . . . . . 281, 283, 303, 307, 311, 327, 335

Contents xiii

Graphing Inequalities, p. 356T ≤ 134

CHAPTER

6

PROBLEM SOLVING


• Multiple Representations, 361, 367, 374,386, 402, 411





★ ASSESSMENT


• Multiple Choice, 360, 372, 373, 385, 386,393, 394, 401, 409, 411

• Short Response/Extended Response,361, 368, 373, 374, 387, 389, 395, 402, 403,411, 412, 413, 420

• Writing/Open-Ended, 359, 360, 366,372, 384, 389, 393, 401, 409, 410, 413

TECHNOLOGY

At classzone.com:

• Animated Algebra, 355, 358, 364, 382,387, 390, 391, 399, 407

• @Home Tutor, 354, 360, 367, 373, 385,388, 394, 402, 410, 415

• Online Quiz, 361, 368, 374, 387, 395,403, 412


Unit 2Equations in

Two Variables Solving and Graphing LinearInequalitiesPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 354

6.1 Solve Inequalities Using Addition and Subtraction . . . . . . . . . . . . . . . . . . . . . . . . . 356

6.2 Solve Inequalities Using Multiplication and Division . . . . . . . . . . . . . . . . . . . . . . . 363 Investigating Algebra Activity:Inequalities with Negative Coeffi cients. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 362

6.3 Solve Multi-Step Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 369 Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 375

6.4 Solve Compound Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 380 Investigating Algebra Activity: Statements with And and Or. . . . . . . . . . . . . . . . 379 Graphing Calculator Activity Solve Compound Inequalities . . . . . . . . . . . . . . 388Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 389

6.5 Solve Absolute Value Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 390

6.6 Solve Absolute Value Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 398

6.7 Graph Linear Inequalities in Two Variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 405 Investigating Algebra Activity: Linear Inequalities in Two Variables . . . . . . 404Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 413

ASSESSMENT



Activities 355, 358, 364, 382, 387, 390, 391, 399, 407

xiv Contents

Solving Linear Systems, p. 446x 2 y 5 4, x 1 y 5 6

Systems of Equations andInequalitiesPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 424

7.1 Solve Linear Systems by Graphing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 427 Investigating Algebra Activity: Solving Linear Systems Using Tables . . . . . 426 Graphing Calculator Activity Solve Linear Systems by Graphing. . . . . . . . . 434

7.2 Solve Linear Systems by Substitution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 435 Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 442

7.3 Solve Linear Systems by Adding or Subtracting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 444 Investigating Algebra Activity: Linear Systems and Elimination . . . . . . . . . . . 443

7.4 Solve Linear Systems by Multiplying First . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 451Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 458

7.5 Solve Special Types of Linear Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 459

7.6 Solve Systems of Linear Inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 466Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 473

ASSESSMENT


★ Standardized Test Preparation and Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 480Cumulative Review, Chapters 1–7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 484

Activities . . . . . . 425, 428, 435, 441, 446, 452, 459, 466

CHAPTER

7

TECHNOLOGY

At classzone.com:

• Animated Algebra, 425, 428, 435, 441,446, 452, 459, 466

• @Home Tutor, 424, 432, 434, 440, 449,456, 464, 471, 475

• Online Quiz, 433, 441, 450, 457, 465, 472


★ ASSESSMENT


• Multiple Choice, 431, 432, 439, 447, 455,463, 469, 470, 480

• Short Response/Extended Response,432, 440, 441, 448, 450, 456, 458, 465,470, 471, 473

• Writing/Open-Ended, 430, 431, 439,440, 447, 454, 455, 456, 458, 462, 464,469, 473

PROBLEM SOLVING





• Real-World Problem Solving Examples,430, 438, 446, 453, 461, 468


Unit 2Equations in

Two Variables

Contents xv

Scientifi c Notation, p. 5169.065 3 109 miles

CHAPTER

8

PROBLEM SOLVING


• Multiple Representations, 493, 500, 507,517, 525, 528, 537





★ ASSESSMENT


• Multiple Choice, 492, 499, 506, 507, 515,516, 524, 526, 535, 536, 548

• Short Response/Extended Response,494, 501, 507, 508, 511, 516, 517, 526,537, 541

• Writing/Open-Ended, 492, 493, 498,499, 506, 511, 515, 516, 523, 524, 535, 536,541, 543

TECHNOLOGY

At classzone.com:

• Animated Algebra, 487, 505, 512, 522,534, 536

• @Home Tutor, 486, 493, 500, 507, 516,519, 525, 537, 543

• Online Quiz, 494, 501, 508, 518, 527, 538


Unit 3Exponential and

Quadratic Functions Exponents and ExponentialFunctionsPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 486

8.1 Apply Exponent Properties Involving Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 489 Investigating Algebra Activity: Products and Powers . . . . . . . . . . . . . . . . . . . . . . . . 488

8.2 Apply Exponent Properties Involving Quotients . . . . . . . . . . . . . . . . . . . . . . . . . . . . 495

8.3 Defi ne and Use Zero and Negative Exponents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 503 Investigating Algebra Activity: Zero and Negative Exponents. . . . . . . . . . . . . . 502Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 511

8.4 Use Scientifi c Notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 512 Graphing Calculator Activity Use Scientifi c Notation . . . . . . . . . . . . . . . . . . . . . . . 519

8.5 Write and Graph Exponential Growth Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . 520 Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 528

8.6 Write and Graph Exponential Decay Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 531 Investigating Algebra Activity: Exponential Models . . . . . . . . . . . . . . . . . . . . . . . . . . 530Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 541

ASSESSMENT



Activities . . . . . . . . . . . . 487, 491, 505, 512, 522, 534, 536

xvi Contents

Subtracting Polynomials, p. 558B 5 20.0262t3 1 0.376t2 2 0.574t 1 9.67

CHAPTER

9

TECHNOLOGY

At classzone.com:


• @Home Tutor, 552, 558, 560, 567, 573,579, 588, 598, 604, 612, 616

• Online Quiz, 559, 568, 574, 580, 589,599, 605, 613


★ ASSESSMENT


• Multiple Choice, 557, 565, 566, 572, 578,580, 586, 589, 596, 597, 603, 610


• Writing/Open-Ended, 557, 565, 572,578, 581, 586, 596, 603, 610, 611, 614, 616

PROBLEM SOLVING








Quadratic Functions Polynomials and FactoringPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 552

9.1 Add and Subtract Polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 554 Graphing Calculator Activity Graph Polynomial Functions . . . . . . . . . . . . . . . 560

9.2 Multiply Polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 562 Investigating Algebra Activity: Multiplication with Algebra Tiles . . . . . . . . . . 561

9.3 Find Special Products of Polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 569

9.4 Solve Polynomial Equations in Factored Form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 575Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 581

9.5 Factor x21 bx 1 c . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 583 Investigating Algebra Activity: Factorization with Algebra Tiles . . . . . . . . . . . 582

Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 590

9.6 Factor ax2 1 bx 1 c. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 593 Investigating Algebra Activity: More Factorization with Algebra Tiles . . . . 592

9.7 Factor Special Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 600

9.8 Factor Polynomials Completely. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 606Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 614

ASSESSMENT



Activities . . . . . . . . . . . . . . . . . . 553, 555, 582, 592, 598, 601

Contents xvii

Solving Quadratic Equations, p. 648y 5 20.04x2 1 1.2x

CHAPTER

10

PROBLEM SOLVING


• Multiple Representations, 658, 659, 667,676, 690





★ ASSESSMENT


• Multiple Choice, 632, 633, 638, 647, 655,657, 666, 674, 681, 688, 690

• Short Response/Extended Response,634, 640, 648, 649, 656, 657, 661, 668,676, 682, 690, 694

• Writing/Open-Ended, 632, 638, 639,647, 655, 656, 661, 666, 667, 674, 681, 682,688, 694

TECHNOLOGY

At classzone.com:

• Animated Algebra, 627, 634, 636, 642,662, 668, 672, 684

• @Home Tutor, 626, 633, 639, 648, 651,657, 667, 675, 682, 689, 690, 692, 696

• Online Quiz, 634, 640, 649, 658, 668,676, 683, 691




Quadratic Functions Quadratic Equations and FunctionsPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 626

10.1 Graph y 5 ax2 1 c . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 628

10.2 Graph y 5 ax2 1 bx 1 c . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 635

10.3 Solve Quadratic Equations by Graphing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 643

Graphing Calculator Activity Find Minimums, Maximums, and Zeros. . . 650

10.4 Use Square Roots to Solve Quadratic Equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 652Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 659Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 661

10.5 Solve Quadratic Equations by Completing the Square . . . . . . . . . . . . . . . . . . . . 663 Investigating Algebra Activity: Completing the Square—Algebra Tiles . . . . 662

10.6 Solve Quadratic Equations by the Quadratic Formula . . . . . . . . . . . . . . . . . . . . . 671

10.7 Interpret the Discriminant . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 678 Investigating Algebra Activity: The Discriminant . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 677

10.8 Compare Linear, Exponential, and Quadratic Models . . . . . . . . . . . . . . . . . . . . . 684 Graphing Calculator Activity Perform Regressions . . . . . . . . . . . . . . . . . . . . . . . . . 692Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 694

ASSESSMENT


★ Standardized Test Preparation and Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 702Cumulative Review, Chapters 1–10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 706

Activities . . . . . . 627, 634, 636, 642, 662, 668, 672, 684

xviii Contents

Solving Radical Equations, p. 731s 5 1.34Ï

}

l

CHAPTER

11

TECHNOLOGY

At classzone.com:


• @Home Tutor, 708, 715, 717, 725, 733,741, 748, 749, 754, 755

• Online Quiz, 716, 726, 734, 742, 750


★ ASSESSMENT


• Multiple Choice, 713, 714, 723, 732, 740,741, 747, 748

• Short Response/Extended Response,716, 726, 734, 735, 742, 749, 752

• Writing/Open-Ended, 713, 723, 724,732, 733, 735, 740, 741, 747, 748, 752

PROBLEM SOLVING


• Multiple Representations, 725



• Real-World Problem Solving Examples,713, 722, 731, 738, 739, 746


Unit 4Radical and

Rational Functions Radicals and GeometryConnectionsPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 708

11.1 Graph Square Root Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 710 Graphing Calculator Activity Graph Square Root Functions . . . . . . . . . . . . . . 717

11.2 Simplify Radical Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 719 Investigating Algebra Activity: Properties of Radicals . . . . . . . . . . . . . . . . . . . . . . . 718

11.3 Solve Radical Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 729Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 735

11.4 Apply the Pythagorean Theorem and Its Converse . . . . . . . . . . . . . . . . . . . . . . . . 737 Investigating Algebra Activity: The Pythagorean Theorem . . . . . . . . . . . . . . . . 736

11.5 Apply the Distance and Midpoint Formulas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 744 Investigating Algebra Activity: Distance in the Coordinate Plane . . . . . . . . . . 743

Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 751Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 752

ASSESSMENT



Activities . . . . . . . . . . . . 709, 711, 719, 722, 731, 737, 746

Contents xix

PROBLEM SOLVING



• Multi-Step Problems, 801, 818, 825, 829




★ ASSESSMENT

• Multiple Choice, 769, 777, 779, 788, 789,791, 798, 806, 807, 817, 824, 836



TECHNOLOGY

At classzone.com:


• @Home Tutor, 762, 770, 780, 789, 793,799, 807, 808, 817, 824, 831

• Online Quiz, 772, 782, 791, 800, 809,819, 826


Dividing Rational Expressions, p. 807

T 5 100 1 2.2x}1 2 0.014x

CHAPTER

12Unit 4

Radical andRational Functions Rational Equations and

FunctionsPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 762

12.1 Model Inverse Variation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 765 Investigating Algebra Activity:Relationships Between Dimensions of a Rectangle . . . . . . . . . . . . . . . . . . . . . . . . . . 764

12.2 Graph Rational Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 775 Investigating Algebra Activity: Graphing y 5

a}x 2 h

1 k . . . . . . . . . . . . . . . . . . . . . . 773

12.3 Divide Polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 784 Investigating Algebra Activity: Dividing Polynomials—Algebra Tiles . . . . . . 783 Graphing Calculator Activity Find Asymptotes of Graphs . . . . . . . . . . . . . . . . . 792

12.4 Simplify Rational Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 794Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 801

12.5 Multiply and Divide Rational Expressions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 802

12.6 Add and Subtract Rational Expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 812

12.7 Solve Rational Equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 820Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 827Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 829

ASSESSMENT



Activities . . . . . . . . . . . . . . . . . . . 763, 766, 777, 783, 791, 804, 814

xx Contents

Using Permutations, p. 855

Probability 5 5P5}7P7

CHAPTER

13

TECHNOLOGY

At classzone.com:


• @Home Tutor, 840, 847, 854, 859, 860,866, 874, 877, 878, 884, 886, 890, 891,893, 896

• Online Quiz, 848, 855, 859, 867, 874,878, 885, 892


★ ASSESSMENT


• Multiple Choice, 846, 847, 854, 858, 864,865, 873, 877, 883, 890



PROBLEM SOLVING


• Multiple Representations, 854, 866



• Real-World Problem Solving Examples,844, 852, 853, 857, 863, 871, 872, 876,882, 888, 889


Unit 4Radical and

Rational Functions Probability and Data AnalysisPrerequisite Skills . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 840

13.1 Find Probabilities and Odds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 843 Investigating Algebra Activity: Find a Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . 842

13.2 Find Probabilities Using Permutations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 851

13.3 Find Probabilities Using Combinations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 856 Graphing Calculator Activity Find Permutations and Combinations . . . . 860

13.4 Find Probabilities of Compound Events . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 861 Problem Solving Workshop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 868

Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 870

13.5 Analyze Surveys and Samples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 871

13.6 Use Measures of Central Tendency and Dispersion . . . . . . . . . . . . . . . . . . . . . . . . 875

13.7 Interpret Stem-and-Leaf Plots and Histograms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 881 Graphing Calculator Activity Draw Histograms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 886

13.8 Interpret Box-and-Whisker Plots. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 887 Graphing Calculator Activity Draw Box-and-Whisker Plots . . . . . . . . . . . . . . 893Mixed Review of Problem Solving . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 894

ASSESSMENT


★ Standardized Test Preparation and Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 902Cumulative Review, Chapters 1–13 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 906

Activities . . . . . . . . . . . . . . . . . . 841, 845, 848, 856, 875, 887

Contents xxi

Contents of Student Resources

Skills Review HandbookSkills Review Handbook pages pages 909–937909–937

Comparing and Ordering Decimals 909

Factors and Multiples 910

Finding Equivalent Fractions and Simplifying Fractions 912

Mixed Numbers and Improper Fractions 913

Adding and Subtracting Fractions 914

Multiplying and Dividing Fractions 915

Fractions, Decimals, and Percents 916

Mean, Median, and Mode 918

Classifying Triangles and Quadrilaterals 919

The Coordinate Plane 921

Transformations 922

Perimeter and Area 924

Circumference and Area of a Circle 926

Surface Area and Volume 927

Converting Units of Measurement 929

Venn Diagrams and Logical Reasoning 930

Counting Methods 931

Bar Graphs 933

Line Graphs 934

Circle Graphs 935

Problem Solving Strategies 936

Extra Practice for Chapters 1–13Extra Practice for Chapters 1–13 pages 938–950pages 938–950

TablesTables pages 951–957pages 951–957

Symbols 951951Formulas 952952Properties 954954Measures 956956Squares and Square Roots 957957

English-Spanish GlossaryEnglish-Spanish Glossary pages 958–1002pages 958–1002

IndexIndex pages 1003–1018pages 1003–1018

CreditsCredits pages 1019–1020pages 1019–1020

Worked-Out SolutionsWorked-Out Solutions page WS1page WS1

Selected AnswersSelected Answers page SA1page SA1

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