Transcription
Chapter 7 Resource MastersBothell, WA Chicago, IL Columbus, OH New York, NY
CONSUMABLE WORKBOOKS Many of the worksheets contained in the Chapter Resource Mastersbooklets are available as consumable workbooks in both English and Spanish.Study Guide and Intervention WorkbookHomework Practice -660292-6978-0-07-660291-9Spanish VersionHomework Practice Workbook0-07-660294-X978-0-07-660294-0Answers For Workbooks The answers for Chapter 7 of these workbooks can be found in theback of this Chapter Resource Masters booklet.ConnectED All of the materials found in this booklet are included for viewing, printing, and editing atconnected.mcgraw-hill.com.Spanish Assessment Masters (MHID: 0-07-660289-3, ISBN: 978-0-07-660289-6) These masterscontain a Spanish version of Chapter 7 Test Form 2A and Form 2C.connected.mcgraw-hill.comCopyright by The McGraw-Hill Companies, Inc.All rights reserved. The contents, or parts thereof, may bereproduced in print form for non-profit educational use withGlencoe Algebra 1, provided such reproductions bear copyrightnotice, but may not be reproduced in any form for any otherpurpose without the prior written consent of The McGraw-HillCompanies, Inc., including, but not limited to, network storageor transmission, or broadcast for distance learning.Send all inquiries to:McGraw-Hill Education8787 Orion PlaceColumbus, OH 43240ISBN: 978-0-07-660281-0MHID: 0-07-660281-8Printed in the United States of America.1 2 3 4 5 6 7 8 9 DOH 16 15 14 13 12 11
ContentsTeacher’s Guide to Using the Chapter 7Resource Masters .ivLesson 7-6Growth and DecayStudy Guide and Intervention . 35Skills Practice . 37Practice . 38Word Problem Practice . 39Enrichment . 40Spreadsheet Activity . 41Chapter ResourcesChapter 7 Student-Built Glossary. 1Chapter 7 Anticipation Guide (English) . 3Chapter 7 Anticipation Guide (Spanish) . 4Lesson 7-1Multiplication Properties of ExponentsStudy Guide and Intervention . 5Skills Practice . 7Practice . 8Word Problem Practice . 9Enrichment . 10Lesson 7-7Geometric Sequences as Exponential FunctionsStudy Guide and Intervention . 42Skills Practice . 44Practice . 45Word Problem Practice . 46Enrichment . 47Lesson 7-2Division Properties of ExponentsStudy Guide and Intervention .11Skills Practice . 13Practice . 14Word Problem Practice . 15Enrichment . 16Lesson 7-8Recursive FormulasStudy Guide and Intervention . 48Skills Practice . 50Practice . 51Word Problem Practice . 52Enrichment . 53Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.Lesson 7-3Rational ExponentsStudy Guide and Intervention . 17Skills Practice . 19Practice . 20Word Problem Practice . 21Enrichment . 22AssessmentStudent Recording Sheet . 55Rubric for Scoring Extended Response . 56Chapter 7 Quizzes 1 and 2 . 57Chapter 7 Quizzes 3 and 4 . 58Chapter 7 Mid-Chapter Test . 59Chapter 7 Vocabulary Test. 60Chapter 7 Test, Form 1 . 61Chapter 7 Test, Form 2A . 63Chapter 7 Test, Form 2B . 65Chapter 7 Test, Form 2C . 67Chapter 7 Test, Form 2D . 69Chapter 7 Test, Form 3 . 71Chapter 7 Extended Response Test . 73Standardized Test Practice .74Lesson 7-4Scientific NotationStudy Guide and Intervention . 23Skills Practice . 25Practice . 26Word Problem Practice . 27Enrichment . 28Lesson 7-5Exponential FunctionsStudy Guide and Intervention . 29Skills Practice . 31Practice . 32Word Problem Practice . 33Enrichment . 34Answers . A1–A36iii
Teacher’s Guide to Using theChapter 7 Resource MastersThe Chapter 7 Resource Masters includes the core materials needed for Chapter 7. Thesematerials include worksheets, extensions, and assessment options. The answers for thesepages appear at the back of this booklet.All of the materials found in this booklet are included for viewing, printing, and editing atconnectED.mcgraw-hill.com.Skills Practice This master focuses moreon the computational nature of the lesson.Use as an additional practice option or ashomework for second-day teaching of thelesson.Chapter ResourcesStudent-Built Glossary (pages 1–2) Thesemasters are a student study tool thatpresents up to twenty of the key vocabularyterms from the chapter. Students are torecord definitions and/or examples foreach term. You may suggest that studentshighlight or star the terms with which theyare not familiar. Give this to students beforebeginning Lesson 7-1. Encourage them toadd these pages to their mathematicsstudy notebooks. Remind them to completethe appropriate words as they study eachlesson.Practice This master closely follows thetypes of problems found in the Exercisessection of the Student Edition and includesword problems. Use as an additionalpractice option or as homework forsecond-day teaching of the lesson.Anticipation Guide (pages 3–4) Thismaster, presented in both English andSpanish, is a survey used before beginningthe chapter to pinpoint what students mayor may not know about the concepts in thechapter. Students will revisit this surveyafter they complete the chapter to see iftheir perceptions have changed.Enrichment These activities may extendthe concepts of the lesson, offer an historicalor multicultural look at the concepts, orwiden students’ perspectives on themathematics they are learning. They arewritten for use with all levels of students.Lesson ResourcesStudy Guide and Intervention Thesemasters provide vocabulary, key concepts,additional worked-out examples and CheckYour Progress exercises to use as areteaching activity. It can also be used inconjunction with the Student Edition as aninstructional tool for students who havebeen absent.Graphing Calculator, TI-Nspire, orSpreadsheet Activities These activitiespresent ways in which technology can beused with the concepts in some lessons ofthis chapter. Use as an alternative approachto some concepts or as an integral part ofyour lesson presentation.ivCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.Word Problem Practice This masterincludes additional practice in solving wordproblems that apply the concepts of thelesson. Use as an additional practice or ashomework for second-day teaching of thelesson.
Forms 2C and 2D contain free-responsequestions aimed at on grade levelstudents. These tests are similar informat to offer comparable testingsituations. Form 3 is a free-response test for usewith above grade level students.All of the above mentioned tests include afree-response Bonus question.Assessment OptionsThe assessment masters in the Chapter 7Resource Masters offer a wide range ofassessment tools for formative (monitoring)assessment and summative (final)assessment.Student Recording Sheet This mastercorresponds with the standardized testpractice at the end of the chapter.Extended-Response Test Performanceassessment tasks are suitable for all students. Sample answers and a scoring rubricare included for evaluation.Extended Response Rubric This masterprovides information for teachers andstudents on how to assess performance onopen-ended questions.Standardized Test Practice These threepages are cumulative in nature. It includesthree parts: multiple-choice questions withbubble-in answer format, griddablequestions with answer grids, andshort-answer free-response questions.Quizzes Four free-response quizzes offerassessment at appropriate intervals in thechapter.Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.Mid-Chapter Test This 1-page testprovides an option to assess the first halfof the chapter. It parallels the timing of theMid-Chapter Quiz in the Student Editionand includes both multiple-choice andfree-response questions.Answers The answers for the Anticipation Guideand Lesson Resources are provided asreduced pages. Full-size answer keys are provided for theassessment masters.Vocabulary Test This test is suitable forall students. It includes a list of vocabularywords and 11 questions to assess students’knowledge of those words. This can also beused in conjunction with one of the leveledchapter tests.Leveled Chapter Tests Form 1 contains multiple-choice questions and is intended for use with belowgrade level students. Forms 2A and 2B contain multiplechoice questions aimed at on grade levelstudents. These tests are similar informat to offer comparable testingsituations.v
NAMEDATE7PERIODThis 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 �mee·uhlconstantcommon ratioCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.compound interestcube rootexponential decay functionexponential equationexponential functionexponential growth function(continued on the next page)Chapter 71Glencoe Algebra 1Chapter ResourcesStudent-Built Glossary
NAMEDATE7Student-Built GlossaryVocabulary TermFoundon egeometric sequencemonomialmah·NOH·mee·uhlnegative exponentnth rootorder of magnituderational exponentCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.recursive formulascientific notationzero exponentChapter 72Glencoe Algebra 1
NAME7DATEPERIODAnticipation GuideStep 1Before you begin Chapter 7 Read each statement. Decide whether you Agree (A) or Disagree (D) with the statement. Write A or D in the first column OR if you are not sure whether you agree ordisagree, write NS (Not Sure).STEP 1A, D, or NSSTEP 2A or DStatement1. When multiplying two powers that have the same base,multiply the exponents.42. (k 3) is equivalent to k 12.3. To divide two powers that have the same base, subtractthe exponents.(5)24. 323is the same as .55. A polynomial may contain one or more monomials.6. The degree of the polynomial 3x 2y 3- 5y 2 8x 3 is 3 because thegreatest exponent is 3.Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.7. A function containing powers is called an exponential function.8. Receiving compound interest on a bank account is one exampleof exponential growth.Step 2After you complete Chapter 7 Reread each statement and complete the last column by entering an A or a D. Did any of your opinions about the statements change from the first column? For those statements that you mark with a D, use a piece of paper to write anexample of why you disagree.Chapter 73Glencoe Algebra 1Chapter ResourcesExponents and Exponential Functions
NOMBRE7FECHAPERÍODOEjercicios preparatoriosExponentes y Funciones ExponencialesPaso 1Antes de comenzar el Capítulo 7 Lee cada enunciado. Decide si estás de acuerdo (A) o en desacuerdo (D) con el enunciado. Escribe A o D en la primera columna O si no estás seguro(a) de la respuesta,escribe NS (No estoy seguro(a)).PASO 1A, D o NSPASO 2AoDEnunciado1. Al multiplicar dos potencias con la misma base, multiplicalos exponentes.42. (k 3) es equivalente a k 12.3. Para dividir dos potencias que tienen la misma base, restalos exponentes.(5)24. 323es lo mismo que .55. Un polinomio puede contener uno o más monomios.6. El grado del polinomio 3x 2y 3 - 5y 2 8x 3 es 3 porque elexponente más grande es 3.8. El recibir interés compuesto en una cuenta bancaria es unejemplo de crecimiento exponencial.Paso 2Después de completar el Capítulo 7 Vuelve a leer cada enunciado y completa la última columna con una A o una D. ¿Cambió cualquiera de tus opiniones sobre los enunciados de la primera columna? En una hoja de papel aparte, escribe un ejemplo de por qué estás en desacuerdo con losenunciados que marcaste con una D.Capítulo 74Álgebra 1 de GlencoeCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.7. Una función que contiene potencias se denomina funciónexponencial.
NAMEDATE7-1PERIODStudy Guide and InterventionMultiplication Properties of ExponentsMultiply Monomials A monomial is a number, a variable, or the product of a numberand one or more variables with nonnegative integer exponents. An expression of the form xnis called a power and represents the product you obtain when x is used as a factor n times.To multiply two powers that have the same base, add the exponents.For any number a and all integers m and n, amExample 1Simplify (3x6)(5x2).(3x6)(5x2) (3)(5)(x6 ․ x2)Group the coefficientsExample 2Simplify (-4a3b)(3a2b5).(-4a3b)(3a2b5) (-4)(3)(a3 ․ a2)(b ․ b5) -12(a3 2)(b1 5) -12a5b6The product is -12a5b6.and the variables (3 ․ 5)(x6 2) 15x8The product is 15x8.․ a n a m n.Product of PowersSimplify.ExercisesCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.Simplify each expression.1. y(y5)2. n2 ․ n73. (-7x2)(x4)4. x(x2)(x4)5. m ․ m56. (-x3)(-x4)7. (2a2)(8a)8. (rn)(rn3)(n2)9. (x2y)(4xy3)110. (2a 3b)(6b 3)3(5)113. (5a 2bc 3) abc 4Chapter 711. (-4x3)(-5x7)12. (-3j2k4)(2jk6)14. (-5xy)(4x2)(y4)15. (10x3yz2)(-2xy5z)5Glencoe Algebra 1Lesson 7-1Product of Powers
NAMEDATE7-1Study Guide and InterventionPERIOD(continued)Multiplication Properties of ExponentsSimplify ExpressionsAn expression of the form (xm)n is called a power of a powerand represents the product you obtain when xm is used as a factor n times. To find thepower of a power, multiply exponents.Power of a PowerFor any number a and any integers m and p, (am)p amp.Power of a ProductFor any numbers a and b and any integer m, (ab)m ambm.We can combine and use these properties to simplify expressions involving monomials.ExampleSimplify (-2ab2)3(a2)4.(-2ab2)3(a2)4 (-2ab2)3(a8) (-2)3(a3)(b2)3(a8) (-2)3(a3)(a8)(b2)3 (-2)3(a11)(b2)3 -8a11b6The product is -8a11b6.Power of a PowerPower of a ProductGroup the coefficients and the variablesProduct of PowersPower of a PowerExercisesSimplify each expression.2. (n7)43. (x2)5(x3)4. -3(ab4)35. (-3ab4)36. (4x2b)37. (4a2)2(b3)8. (4x)2(b3)9. (x2y4)510. (2a3b2)(b3)2(5 )113. (25a 2b) 3 abf216. (-2n6y5)(-6n3y2)(ny)3Chapter 711. (-4xy)3(-2x2)312. (-3j2k3)2(2j2k)314. (2xy)2(-3x2)(4y4)15. (2x3y2z2)3(x2z)417. (-3a3n4)(-3a3n)418. -3(2x)4(4x5y)26Glencoe Algebra 1Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.1. (y5)2
NAME7-1DATEPERIODSkills PracticeMultiplication Properties of ExponentsDetermine whether each expression is a monomial. Write yes or no. Explain.1. 112. a - bp2r3. 2Lesson 7-14. y5. j3k6. 2a 3bCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.Simplify.7. a2(a3)(a6)8. x(x2)(x7)9. (y2z)(yz2)10. (ℓ2k2)(ℓ3k)11. (a2b4)(a2b2)12. (cd2)(c3d2)13. (2x2)(3x5)14. (5a7)(4a2)15. (4xy3)(3x3y5)16. (7a5b2)(a2b3)17. (-5m3)(3m8)18. (-2c4d)(-4cd)19. (102)320. (p3)1221. (-6p)222. (-3y)323. (3pr2)224. (2b3c4)2GEOMETRY Express the area of each figure as a monomial.25.26.27.x2x5Chapter 7cdcd74p9p3Glencoe Algebra 1
NAMEDATE7-1PERIODPracticeMultiplication Properties of ExponentsDetermine whether each expression is a monomial. Write yes or no. Explain yourreasoning.21a 21. 7bb 3c 22. 2Simplify each expression.3. (-5x2y)(3x4)4. (2ab2f 2)(4a3b2f 2)5. (3ad4)(-2a2)6. (4g3h)(-2g5)()1 37. (-15xy 4) - xy3(8. (-xy)3(xz))19. (-18m 2n) 2 - mn 2(3 )211. p610. (0.2a2b3)22(4 )112. ad 313. (0.4k3)3214. [(42)2]2GEOMETRY Express the area of each figure as a monomial.15.16.17.6ab 36a2b44a2bGEOMETRY Express the volume of each solid as a monomial.18.19.n3h2m3n3h2mn320.3g7g23h221. COUNTING A panel of four light switches can be set in 24 ways. A panel of five lightswitches can set in twice this many ways. In how many ways can five light switchesbe set?22. HOBBIES Tawa wants to increase her rock collection by a power of three this year andthen increase it again by a power of two next year. If she has 2 rocks now, how manyrocks will she have after the second year?Chapter 78Glencoe Algebra 1Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.5x33ab2
NAME7-1DATEPERIODWord Problem PracticeMultiplication Properties of Exponents4. SPORTS The volume of a sphere is given4 3by the formula V πr , where r is the3radius of the sphere. Find the volume ofair in three different basketballs. Useπ 3.14. Round your answers to thenearest whole number.BallChild’s2. CIVIL ENGINEERING A developer isplanning a sidewalk for a newdevelopment. The sidewalk can beinstalled in rectangular sections thathave a fixed width of 3 feet and a lengththat can vary. Assuming that eachsection is the same length, express thearea of a 4-section sidewalk as amonomial.Volume (in3)4Women’s4.5Men’s4.85. ELECTRICITY An electrician uses theformula W I2R , where W is the powerin watts, I is the current in amperes, andR is the resistance in ohms.a. Find the power in a household circuitthat has 20 amperes of current and5 ohms of resistance.xCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.Radius (in.)Lesson 7-11. GRAVITY An egg that has been fallingfor x seconds has dropped at an averagespeed of 16x feet per second. If the egg isdropped from the top of a building, itstotal distance traveled is the product ofthe average rate times the time. Write asimplified expression to show thedistance the egg has traveled afterx seconds.3 ftb. If the current is reduced by one half,what happens to the power?3. PROBABILITY If you flip a coin 3 timesin a row, there are 23 outcomes that canoccur.OutcomesHHHTTTHTTTHHHTHTTHHHTTHTIf you then flip the coin two more times,there are 23 22 outcomes that canoccur. How many outcomes can occur ifyou flip the coin as mentioned above fourmore times? Write your answer in theform 2x.Chapter 79Glencoe Algebra 1
NAME7-1DATEPERIODEnrichmentAn WangAn Wang (1920–1990) was an Asian-American who became one of the pioneers of thecomputer industry in the United States. He grew up in Shanghai, China, but came to theUnited States to further his studies in science. In 1948, he invented a magnetic pulsecontrolling device that vastly increased the storage capacity of computers. He later foundedhis own company, Wang Laboratories, and became a leader in the development of desktopcalculators and word processing systems. In 1988, Wang was elected to the NationalInventors Hall of Fame.Digital computers store information as numbers. Because the electronic circuits of acomputer can exist in only one of two states, open or closed, the numbers that are stored canconsist of only two digits, 0 or 1. Numbers written using only these two digits are calledbinary numbers. To find the decimal value of a binary number, you use the digits to writea polynomial in 2. For instance, this is how to find the decimal value of the number10011012. (The subscript 2 indicates that this is a binary number.)10011012 1 26 0 25 0 24 1 23 1 22 0 21 1 20 1 64 0 32 0 16 1 8 1 4 0 2 1 1 64 0 0 8 4 0 1 77Find the decimal value of each binary number.2. 1000023. 1100001124. 101110012Write each decimal number as a binary number.5. 86. 117. 299. The chart at the right shows a set of decimalcode numbers that is used widely in storingletters of the alphabet in a computer’s memory.Find the code numbers for the letters of yourname. Then write the code for your nameusing binary numbers.Chapter 7108. 117The American Standard Guide forInformation Interchange k107x120L76Y89l108y121M77Z90m 109z122Glencoe Algebra 1Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.1. 11112
NAMEDATE7-2PERIODStudy Guide and InterventionDivision Properties of ExponentsDivide MonomialsTo divide two powers with the same base, subtract theexponents.Quotient of Powersamm-n.For all integers m and n and any nonzero number a, n aPower of a QuotientaFor any integer m and any real numbers a and b, b 0, a(b)a 4b 7Simplify . Assume2Example 2abthat no denominator equals zero.( )( )a 4b 7a4 b7 2a abb24-17-2 (a )(b ) a3b5The quotient is a3b5.am m .b32a 3b 5. AssumeSimplify 2( 3b )that no denominator equals zero.Group powers with the same base.Quotient of PowersSimplify.3(2a 3b 5) 3(3b )2 3(a 3) 3(b 5) 3 (3) 3(b 2) 38a 9b 15 27b 68a 9b 9 278a 9b 9The quotient is .27( 3b )352a b 2 2 3Power of a QuotientPower of a ProductPower of a PowerQuotient of PowersCopyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.ExercisesSimplify each expression. Assume that no denominator equals zero.551. 2m62. 4a24. a5. 5 25xy 6yx(rw )Chapter 7mx 5y 3xy6. 5(-2y 714y)2a 2b8. a7. 42r 5w 310. 4 3p 5n 4pn3. 24( 2r n )3r 6n 311. 5( )4p 4r 43p r339. 2 24r 7n 7t 212. 3 3 2nrt11Glencoe Algebra 1Lesson 7-2Example 1m
NAMEDATE7-2Study Guide and InterventionPERIOD(continued)Division Properties of ExponentsNegative Exponents Any nonzero number raised to the zero power is 1; for example,(-0.5)0 1. Any nonzero number raised to a negative power is equal to the reciprocal of the1number raised to the opposite power; for example, 6 -3 . These definitions can be used to36simplify expressions that have negative exponents.Zero ExponentFor any nonzero number a, a0 1.Negative Exponent Property11nFor any nonzero number a and any integer n, a -n n and -n a .aaThe simplified form of an expression containing negative exponents must contain onlypositive exponents.Example-364a bSimplify . Assume that no denominator equals zero.2 6 -516a b c-3( 16 )( a )( b )( c )6-364a bb4 a1 2 6 -526-516a b c1 (a -3-2)(b 6-6)(c 5)( )Quotient of Powers and Negative Exponent PropertiesSimplify.Negative Exponent and Zero Exponent PropertiesSimplify.Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.41 -5 0 5 a bc41 1 (1)c 5 4 a5c5 4a 5c5The solution is .4a 5Group powers with the same base.ExercisesSimplify each expression. Assume that no denominator equals zero.p -8p221. -3m2. -4b -44. -5b5. -1 2x 4y 0x8. 2 427. -2m -3t -510. 2 3 -1(m t )Chapter 73. 3m(-x -1y) 0(a 2b 3) 2(ab)6. -24w y(6a -1b) 2(b )( 8m )4m 2n 211. -1(3rt) 2u -4r tu9. -1 2 7(-2mn 2) -34m n012. -6 412Glencoe Algebra 1
NAMEDATE7-2PERIODSkills PracticeDivision Properties of ExponentsSimplify each expression. Assume that no denominator equals zero.651. 49 122. 8x43. 2r 3t 24. 3 4m5. 3m9d 76. 612n 57. 36nw 4x 38. 4a 3b 59. 210. 3 269xrt3dwxab-21w 5x 211. 4 5Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.7w x( )4p 77r32x 3y 2z 5-8xyz12. 2213. 214. 4-415. 8-2516. (3)( 11 )917. -119. k0(k4)(k-6)-2h318. -6h20. k-1(ℓ-6)(m3)(16p 5w 22p w)f -7f22. 3 323. -2f -5g 4h24. -11-15t 0u -125. 326. 5 621. 45uChapter 7Lesson 7-2m 7p 2mp015x 6y -95xy48x 6y 7z 5-6xy z13Glencoe Algebra 1
NAMEDATE7-2PERIODPracticeDivision Properties of ExponentsSimplify each expression. Assume that no denominator equals zero.8xy 28a 4b 62. 33. xym 5npmp5c 2d 35. 26. 6 581. 4ab4. 4( )4f 3g3h-4c d37. 610. x3(y-5)(x-8)(7)313. 8y 7z 64y z-2(57p r2-4x 29. 524x11. p(q-2)(r-3)(3)414. -15w 0u -116. 3)6w8. 6 312. 12-2-422r 3s 215. 2 -311r s( )8c 3d 2f 44c d fx -3y 5418. -319. -2 -5 3-12t -1u 5x -420. -35r21. 3m -2n -522. 4 3 -123. 3 35u6f -2g 3h 554f g h(m n )( )q -1r 3qr25. -2-52t ux( j -1k 3) -4jk( c dh )7c -3d 326. 5-404(3r)(2a -2b) -35a b24. 2 4(-12x 3y 2z3x yz)-227. 4-228. BIOLOGY A lab technician draws a sample of blood. A cubic millimeter of the bloodcontains 223 white blood cells and 225 red blood cells. What is the ratio of white bloodcells to red blood cells?29. COUNTING The number of three-letter “words” that can be formed with the Englishalphabet is 263. The number of five-letter “words” that can be formed is 265. How manytimes more five-letter “words” can be formed than three-letter “words”?Chapter 714Glencoe Algebra 1Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.17. -1 2 -3
NAME7-2DATEPERIODWord Problem PracticeDivision Properties of Exponents1. CHEMISTRY The nucleus of a certainatom is 10-13 centimeters across. Ifthe nucleus of a different atom is10-11 centimeters across, how manytimes as large is it as the first atom?4. METRIC MEASUREMENT Consider adust mite that measures 10-3 millimetersin length and a caterpillar that measures10 centimeters long. How many times aslong as the mite is the caterpillar?2. SPACE The Moon is approximately254 kilometers away from Earth onaverage. The Olympus Mons volcano onMars stands 25 kilometers high. Howmany Olympus Mons volcanoes, stackedon top of one another, would fit betweenthe surface of the Earth and the Moon?Memory Capacity Approximate Conversions8 bits 1 byte310 bytes 1 kilobyte310 kilobytes 1 megabyte (meg)Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.103 megabytes 1 gigabyte (gig)103 gigabytes 1 terabyte103 terabytes 1 petabytea. The newer hard drives have abouthow many times the capacity of the1995 drives?3. E-MAIL Spam (also known as junke-mail) consists of identical messagessent to thousands of e-mail users. Peopleoften obtain anti-spam software to filterout the junk e-mail messages theyreceive. Suppose Yvonne’s anti-spamsoftware filtered out 102 e-mails, and shereceived 104 e-mails last year. Whatfraction of her e-mails were filtered out?Write your answer as a monomial.Chapter 7b. Predict the hard drive capacity in theyear 2025 if this rate of growthcontinues.c. One kilobyte of memory is whatfraction of one terabyte?15Glencoe Algebra 1Lesson 7-25. COMPUTERS In 1995, standard capacityfor a personal computer hard drive was40 megabytes (MB). In 2010, a standardhard drive capacity was 500 gigabytes(GB or Gig). Refer to the table below.
NAME7-2DATEPERIODEnrichmentPatterns with PowersUse your calculator, if necessary, to complete each pattern.a. 210 b. 510 c. 410 29 59 49 28 58 48 27 57 47 26 56 46 25 55 45 24 54 44 23 53 43 22 52 42 21 51 41 Study the patterns for a, b, and c above. Then answer the questions.1. Describe the pattern of the exponents from the top of each column to the bottom.3. What would you expect the following powers to be?2050404. Refer to Exercise 3. Write a rule. Test it on patterns that you obtain using 22, 25, and 24as bases.Study the pattern below. Then answer the questions.03 0 02 0 01 0 00 ?0-1 does not exist. 0-2 does not exist. 0-3 does not exist.5. Why do 0-1, 0-2, and 0-3 not exist?6. Based upon the pattern, can you determine whether 00 exists?7. The symbol 00 is called an indeterminate, which means that it has no unique value.Thus it does not exist as a unique real number. Why do you think that 00 cannot equal 1?Chapter 716Glencoe Algebra 1Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.2. Describe the pattern of the powers from the top of the column to the bottom.
NAMEDATE7-3PERIODStudy Guide and InterventionRational ExponentsRational ExponentsFor any real numbers a and b and any positive integer n,if an b, then a is an nth root of b. Rational exponents can be used to represent nth roots.1Square Root b 2 bCube Root3 b 3 bnth Rootn b n b111 Example 1Write (6xy) 2 in radicalform.1 (6xy) 2 6xyDefinition of b1 Example 2Simplify 625 4 .14 625625 4 121nb n b45 5 5 5 625 5 4 5Simplify.ExercisesWrite each expression in radical form, or write each radical in exponential form.Copyright Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.1 1 1 2. 5x 23. 17y 21 4. 12 25. 19ab 26.
connected.mcgraw-hill.com CONSUMABLE WORKBOOKS Many of the worksheets contained in the Chapter Resource Masters booklets are available as consumable workbooks in both English and Spanish. MHID ISBN Study Guide and Intervention Workbook -07-660292-3 978--07-660292-6 Homework Practice Workbook -07-660291-5 978--07-660291-9 Spanish Version
