Chapter 7 Resource Masters - Math Class

Chapter 7Resource Masters

CONSUMABLE WORKBOOKS Many of the worksheets contained in the ChapterResource Masters booklets are available as consumable workbooks in bothEnglish and Spanish.Study Guide and Intervention WorkbookStudy Guide and Intervention Workbook (Spanish)Skills Practice WorkbookSkills Practice Workbook (Spanish)Practice WorkbookPractice Workbook (Spanish)Reading to Learn Mathematics NSWERS FOR WORKBOOKS The answers for Chapter 7 of these workbookscan be found in the back of this Chapter Resource Masters booklet.StudentWorks This CD-ROM includes the entire Student Edition text alongwith the English workbooks listed above.TeacherWorks All of the materials found in this booklet are included for viewing and printing in the Glencoe Algebra 1 TeacherWorks CD-ROM.Glencoe/McGraw-HillCopyright by The McGraw-Hill Companies, Inc. All rights reserved.Printed in the United States of America. Permission is granted to reproduce thematerial contained herein on the condition that such material be reproduced onlyfor classroom use; be provided to students, teachers, and families without charge;and be used solely in conjunction with Glencoe Algebra 1. Any other reproduction,for use or sale, is prohibited without prior written permission of the publisher.Send all inquiries to:The McGraw-Hill Companies8787 Orion PlaceColumbus, OH 43240-4027ISBN: 0-07-827731-03 4 5 6 7 8 9 10 024 11 10 09 08 07 06 05 04 03Glencoe Algebra 1Chapter 7 Resource Masters

ContentsVocabulary Builder . . . . . . . . . . . . . . . . viiLesson 7-5Study Guide and Intervention . . . . . . . . 427–428Skills Practice . . . . . . . . . . . . . . . . . . . . . . . 429Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . 430Reading to Learn Mathematics . . . . . . . . . . 431Enrichment . . . . . . . . . . . . . . . . . . . . . . . . . 432Lesson 7-1Study Guide and Intervention . . . . . . . . 403–404Skills Practice . . . . . . . . . . . . . . . . . . . . . . . 405Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . 406Reading to Learn Mathematics . . . . . . . . . . 407Enrichment . . . . . . . . . . . . . . . . . . . . . . . . . 408Chapter 7 AssessmentChapter 7 Test, Form 1 . . . . . . . . . . . . 433–434Chapter 7 Test, Form 2A . . . . . . . . . . . 435–436Chapter 7 Test, Form 2B . . . . . . . . . . . 437–438Chapter 7 Test, Form 2C . . . . . . . . . . . 439–440Chapter 7 Test, Form 2D . . . . . . . . . . . 441–442Chapter 7 Test, Form 3 . . . . . . . . . . . . 443–444Chapter 7 Open-Ended Assessment . . . . . . 445Chapter 7 Vocabulary Test/Review . . . . . . . 446Chapter 7 Quizzes 1 & 2 . . . . . . . . . . . . . . . 447Chapter 7 Quizzes 3 & 4 . . . . . . . . . . . . . . . 448Chapter 7 Mid-Chapter Test . . . . . . . . . . . . 449Chapter 7 Cumulative Review . . . . . . . . . . . 450Chapter 7 Standardized Test Practice . . 451–452Unit 2 Test/Review (Ch. 4–7) . . . . . . . . 453–454Lesson 7-2Study Guide and Intervention . . . . . . . . 409–410Skills Practice . . . . . . . . . . . . . . . . . . . . . . . 411Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . 412Reading to Learn Mathematics . . . . . . . . . . 413Enrichment . . . . . . . . . . . . . . . . . . . . . . . . . 414Lesson 7-3Study Guide and Intervention . . . . . . . . 415–416Skills Practice . . . . . . . . . . . . . . . . . . . . . . . 417Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . 418Reading to Learn Mathematics . . . . . . . . . . 419Enrichment . . . . . . . . . . . . . . . . . . . . . . . . . 420Lesson 7-4Standardized Test PracticeStudent Recording Sheet . . . . . . . . . . . . . . A1Study Guide and Intervention . . . . . . . . 421–422Skills Practice . . . . . . . . . . . . . . . . . . . . . . . 423Practice . . . . . . . . . . . . . . . . . . . . . . . . . . . 424Reading to Learn Mathematics . . . . . . . . . . 425Enrichment . . . . . . . . . . . . . . . . . . . . . . . . . 426 Glencoe/McGraw-HillANSWERS . . . . . . . . . . . . . . . . . . . . . . A2–A27iiiGlencoe Algebra 1

Teacher’s Guide to Using theChapter 7 Resource MastersThe Fast File Chapter Resource system allows you to conveniently file the resourcesyou use most often. The Chapter 7 Resource Masters includes the core materials neededfor Chapter 7. These materials include worksheets, extensions, and assessment options.The answers for these pages appear at the back of this booklet.All of the materials found in this booklet are included for viewing and printing in theAlgebra 1 TeacherWorks CD-ROM.Vocabulary BuilderPracticePages vii–viiiinclude a student study tool that presentsup to twenty of the key vocabulary termsfrom the chapter. Students are to recorddefinitions and/or examples for each term.You may suggest that students highlight orstar the terms with which they are notfamiliar.There is one master for eachlesson. These problems more closely followthe structure of the Practice and Applysection of the Student Edition exercises.These exercises are of average difficulty.WHEN TO USE These provide additionalpractice options or may be used ashomework for second day teaching of thelesson.WHEN TO USE Give these pages tostudents before beginning Lesson 7-1.Encourage them to add these pages to theirAlgebra Study Notebook. Remind them toadd definitions and examples as theycomplete each lesson.Reading to Learn MathematicsOne master is included for each lesson. Thefirst section of each master asks questionsabout the opening paragraph of the lessonin the Student Edition. Additionalquestions ask students to interpret thecontext of and relationships among termsin the lesson. Finally, students are asked tosummarize what they have learned usingvarious representation techniques.Study Guide and InterventionEach lesson in Algebra 1 addresses twoobjectives. There is one Study Guide andIntervention master for each objective.WHEN TO USE Use these masters asWHEN TO USE This master can be usedreteaching activities for students who needadditional reinforcement. These pages canalso be used in conjunction with the StudentEdition as an instructional tool for studentswho have been absent.as a study tool when presenting the lessonor as an informal reading assessment afterpresenting the lesson. It is also a helpfultool for ELL (English Language Learner)students.Skills PracticeThere is one master foreach lesson. These provide computationalpractice at a basic level.EnrichmentThere is one extensionmaster for each lesson. These activities mayextend the concepts in the lesson, offer anhistorical or multicultural look at theconcepts, or widen students’ perspectives onthe mathematics they are learning. Theseare not written exclusively for honorsstudents, but are accessible for use with alllevels of students.WHEN TO USE These masters can beused with students who have weakermathematics backgrounds or needadditional reinforcement.WHEN TO USE These may be used asextra credit, short-term projects, or asactivities for days when class periods areshortened. Glencoe/McGraw-HillivGlencoe Algebra 1

Assessment OptionsIntermediate AssessmentThe assessment masters in the Chapter 7Resources Masters offer a wide range ofassessment tools for intermediate and finalassessment. The following lists describe eachassessment master and its intended use. Four free-response quizzes are includedto offer assessment at appropriateintervals in the chapter. A Mid-Chapter Test provides an optionto assess the first half of the chapter. It iscomposed of both multiple-choice andfree-response questions.Chapter AssessmentCHAPTER TESTSContinuing Assessment Form 1 contains multiple-choice questionsand is intended for use with basic levelstudents. The Cumulative Review providesstudents an opportunity to reinforce andretain skills as they proceed throughtheir study of Algebra 1. It can also beused as a test. This master includesfree-response questions. Forms 2A and 2B contain multiple-choicequestions aimed at the average levelstudent. These tests are similar in formatto offer comparable testing situations. The Standardized Test Practice offerscontinuing review of algebra concepts invarious formats, which may appear onthe standardized tests that they mayencounter. This practice includes multiplechoice, grid-in, and quantitativecomparison questions. Bubble-in andgrid-in answer sections are provided onthe master. Forms 2C and 2D are composed of freeresponse questions aimed at the averagelevel student. These tests are similar informat to offer comparable testingsituations. Grids with axes are providedfor questions assessing graphing skills. Form 3 is an advanced level test withfree-response questions. Grids withoutaxes are provided for questions assessinggraphing skills.AnswersAll of the above tests include a freeresponse Bonus question. Page A1 is an answer sheet for theStandardized Test Practice questionsthat appear in the Student Edition onpages 404–405. This improves students’familiarity with the answer formats theymay encounter in test taking. The Open-Ended Assessment includesperformance assessment tasks that aresuitable for all students. A scoring rubricis included for evaluation guidelines.Sample answers are provided forassessment. The answers for the lesson-by-lessonmasters are provided as reduced pageswith answers appearing in red. A Vocabulary Test, suitable for allstudents, includes a list of the vocabularywords in the chapter and ten questionsassessing students’ knowledge of thoseterms. This can also be used in conjunction with one of the chapter tests or as areview worksheet. Glencoe/McGraw-Hill Full-size answer keys are provided forthe assessment masters in this booklet.vGlencoe Algebra 1

NAME DATE7PERIODReading to Learn MathematicsThis is an alphabetical list of the key vocabulary terms you will learn in Chapter 7.As you study the chapter, complete each term’s definition or description.Remember to add the page number where you found the term. Add these pages toyour Algebra Study Notebook to review vocabulary at the end of the chapter.Vocabulary TermFoundon PageDefinition/Description/Example consistentkuhn·SIHS·tuhntdependent nsistent(continued on the next page) Glencoe/McGraw-HillviiGlencoe Algebra 1Vocabulary BuilderVocabulary Builder

NAME DATE7PERIODReading to Learn MathematicsVocabulary BuilderVocabulary Term(continued)Foundon PageDefinition/Description/Example substitutionSUHB·stuh·TOO·shuhnsystem of equationssystem of inequalities Glencoe/McGraw-HillviiiGlencoe Algebra 1

NAME DATE7-1PERIODStudy Guide and InterventionGraphing Systems of EquationsNumber of Solutions Two or more linear equations involving the same variables forma system of equations. A solution of the system of equations is an ordered pair of numbersthat satisfies both equations. The table below summarizes information about systems oflinear equations.intersecting linessame lineyOparallel linesyOxyxOxNumber of Solutionsexactly one solutioninfinitely many solutionsno solutionTerminologyconsistent andindependentconsistent anddependentinconsistentLesson 7-1Graph of a SystemExampleUse the graph at the right to determinewhether the system has no solution, one solution, orinfinitely many solutions.a. y ! "x # 2y!x#1Since the graphs of y ! "x # 2 and y ! x # 1 intersect,there is one solution.yy!x#1y ! "x " 1y ! "x # 2Ox3x # 3y ! "3b. y ! "x # 23x # 3y ! "3Since the graphs of y ! "x # 2 and 3x # 3y ! "3 areparallel, there are no solutions.c. 3x # 3y ! "3y ! "x " 1Since the graphs of 3x # 3y ! "3 and y ! "x " 1 coincide,there are infinitely many solutions.ExercisesUse the graph at the right to determine whether eachsystem has no solution, one solution, or infinitelymany solutions.1. y ! "x " 3y!x"12. 2x # 2y ! "6y ! "x " 3y3x # y ! 32x # 2y ! 4Ox2x # 2y ! "6y!x"13. y ! "x " 32x # 2y ! 4 Glencoe/McGraw-Hill4. 2x # 2y ! "63x # y ! 3403y ! "x " 3Glencoe Algebra 1