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Absolute Value and Exponents © Battaly 2015 1 September 08, 2015 P.1 Intro. Algebra, Absolute Value College Algebra & Trig Home Page Class Notes: Prof. G. Battaly, Westchester Community College, NY Study P.1 # 17, 19, 4365, 95 Homework Problems http://www.battaly.com/algebra_trig/schedule.pdf GOAL: 1. Evaluate algebraic equations by substitution. (Review) 2. Learn the definition of absolute value 3. Find absolute values of numerical expressions, using the definition. Review: Algebraic Substitution Given: 86 ℉ Find: ℃ C= 5 (F 32) 9 College Algebra & Trig Home Page Class Notes: Prof. G. Battaly, Westchester Community College, NY Homework Problems
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Study P.1 # 17, 19, 43­65, 95 - · PDF fileP.1 Intro. Algebra, Absolute Value College Algebra & Trig Home Page Class Notes: Prof. G. Battaly, Westchester Community College, NY Study

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  • AbsoluteValueandExponents

    Battaly2015 1

    September08,2015

    P.1Intro.Algebra,AbsoluteValue

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NY

    StudyP.1#17,19,4365,95

    HomeworkProblems

    http://www.battaly.com/algebra_trig/schedule.pdf

    GOAL:1.Evaluatealgebraicequationsbysubstitution.(Review)2.Learnthedefinitionofabsolutevalue3.Findabsolutevaluesofnumericalexpressions,usingthedefinition.

    Review:AlgebraicSubstitution

    Given:86Find:C=5(F32)9

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NYHomeworkProblems

    http://www.battaly.com/algebra_trighttp://www.battaly.com/algebra_trig/homework/P_1_absolutevalue.htmhttp://www.battaly.com/algebra_trig/schedule.pdfhttp://www.battaly.com/algebra_trighttp://www.battaly.com/algebra_trig/homework/P_1_absolutevalue.htm

  • AbsoluteValueandExponents

    Battaly2015 2

    September08,2015

    Review:AlgebraicSubstitution

    Given:86Find:C=5(F32)9

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NYHomeworkProblems

    Review:AlgebraicSubstitution

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NYHomeworkProblems

    G:h=4+60t16t2F:hftwhent=3sec.

    http://www.battaly.com/algebra_trighttp://www.battaly.com/algebra_trig/homework/P_1_absolutevalue.htmhttp://www.battaly.com/algebra_trighttp://www.battaly.com/algebra_trig/homework/P_1_absolutevalue.htm

  • AbsoluteValueandExponents

    Battaly2015 3

    September08,2015

    Review:AlgebraicSubstitution

    G:h=4+60t16t2F:hftwhent=3sec.

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NYHomeworkProblems

    h=4+60(3)16(3)2substitutevalues

    h=4+18016(9)

    h=184144

    h=4+60()16()2useplaceholders

    h=40ft

    TrueorFalse:6>2?

    TrueorFalse:0>13?

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NYHomeworkProblems

    http://www.battaly.com/algebra_trighttp://www.battaly.com/algebra_trig/homework/P_1_absolutevalue.htmhttp://www.battaly.com/algebra_trighttp://www.battaly.com/algebra_trig/homework/P_1_absolutevalue.htm

  • AbsoluteValueandExponents

    Battaly2015 4

    September08,2015

    TrueorFalse:6>2?

    TrueorFalse:0>13?

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NYHomeworkProblems

    6isleftof+2onnumberline.6islessthan2

    0istorightof13onnumberline.0isgreaterthan13

    P.1Intro.Algebra,AbsoluteValue

    AbsoluteValue|2|=___ |2|=___

    |10|=___ |10|=___

    14670BWatHook

    CommemoratespecialBWdayatHookwithgiftoflenscleanersatluncheonthatyear.Iordered30.28peopleattended.

    Whatwasthedifferenceinthenumberoflenscleanersorderedandthenumberneeded?

    Thenrealizedthatneeded4moreforhawkwatcherswhodidnotcome,buthadcontributedtoourbigyear.Whatwasthedifferenceinthenumberoflenscleanersorderedandthenumberneeded?

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NYHomeworkProblems

    http://www.battaly.com/algebra_trighttp://www.battaly.com/algebra_trig/homework/P_1_absolutevalue.htmhttp://www.battaly.com/hook/video/BWkettle/BWkettle_indexALL.htmhttp://www.battaly.com/algebra_trighttp://www.battaly.com/algebra_trig/homework/P_1_absolutevalue.htm

  • AbsoluteValueandExponents

    Battaly2015 5

    September08,2015

    P.1Intro.Algebra,AbsoluteValue

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NY

    AbsoluteValue

    14670BWatHook

    CommemoratespecialBWdayatHookwithgiftoflenscleanersatluncheonthatyear.Iordered30.28peopleattended.

    Whatwasthedifferenceinthenumberoflenscleanersorderedandthenumberneeded?

    Thenrealizedthatneeded4moreforhawkwatcherswhodidnotcome,buthadcontributedtoourbigyear.Whatwasthedifferenceinthenumberoflenscleanersorderedandthenumberneeded?

    need:|3032|=|2|=2

    haveextra:|3028|=|2|=2

    |2|=_2__ |2|=_2__

    |10|=_10__ |10|=_10__

    HomeworkProblems

    P.1Intro.Algebra,AbsoluteValue

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NY

    AbsoluteValue|2|=_2__ |2|=_2__

    |10|=_10__ |10|=_10__

    |a|=___?intermsofa,ifaisarealnumber

    Howdoestheresultrelatetoa?

    HomeworkProblems

    http://www.battaly.com/algebra_trighttp://www.battaly.com/hook/video/BWkettle/BWkettle_indexALL.htmhttp://www.battaly.com/algebra_trig/homework/P_1_absolutevalue.htmhttp://www.battaly.com/algebra_trighttp://www.battaly.com/algebra_trig/homework/P_1_absolutevalue.htm

  • AbsoluteValueandExponents

    Battaly2015 6

    September08,2015

    P.1Intro.Algebra,AbsoluteValue

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NY

    AbsoluteValueDefinition

    Ifaisarealnumber

    |a|=a,ifa>0a,ifa

  • AbsoluteValueandExponents

    Battaly2015 7

    September08,2015

    P.1Intro.Algebra,AbsoluteValue

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NY

    AbsoluteValue

    |203|=_203_,since203>0

    |7|=_7_,since7>0

    |7|=_7+_,since7

  • AbsoluteValueandExponents

    Battaly2015 8

    September08,2015

    3factorsof2

    25=22222=32factorsof2

    b5=bbbbbfactorsofb

    P.2ExponentsandScientificNotion

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NY

    HomeworkProblems

    1.Themeaningofanexponent.

    23=222=8

    4factorsof23factorsof2

    2423=2(4+3)=27=128

    b5b3=b=b

    P.2ExponentsandScientificNotion

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NY

    HomeworkProblems

    2.TheProductRule

    2423=(2222)(222)=27=128

    http://www.battaly.com/algebra_trighttp://www.battaly.com/algebra_trig/homework/P_2_exponents.htmhttp://www.battaly.com/algebra_trighttp://www.battaly.com/algebra_trig/homework/P_2_exponents.htm

  • AbsoluteValueandExponents

    Battaly2015 9

    September08,2015

    bmbn=bm+n

    bmbn=b

    P.2ExponentsandScientificNotion

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NY

    ProductRule

    HomeworkProblems

    2.TheProductRule

    P.2ExponentsandScientificNotion

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NY

    HomeworkProblems

    2.TheProductRule

    http://www.battaly.com/algebra_trighttp://www.battaly.com/algebra_trig/homework/P_2_exponents.htmhttp://www.battaly.com/algebra_trighttp://www.battaly.com/algebra_trig/homework/P_2_exponents.htm

  • AbsoluteValueandExponents

    Battaly2015 10

    September08,2015

    P.2ExponentsandScientificNotion

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NY

    HomeworkProblems

    2.TheProductRule

    oddpowerofnegativebaseisnegative

    P.2ExponentsandScientificNotion

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NY

    HomeworkProblems

    8.Simplification

    http://www.battaly.com/algebra_trighttp://www.battaly.com/algebra_trig/homework/P_2_exponents.htmhttp://www.battaly.com/algebra_trighttp://www.battaly.com/algebra_trig/homework/P_2_exponents.htm

  • AbsoluteValueandExponents

    Battaly2015 11

    September08,2015

    oddpowerofnegativebaseisnegative

    P.2ExponentsandScientificNotion

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NY

    HomeworkProblems

    8.Simplification

    evenpowerofnegative

    baseispositiveevenpowerofpositive

    baseispositive

    P.2ExponentsandScientificNotion

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NY

    HomeworkProblems

    8.Simplification

    http://www.battaly.com/algebra_trighttp://www.battaly.com/algebra_trig/homework/P_2_exponents.htmhttp://www.battaly.com/algebra_trighttp://www.battaly.com/algebra_trig/homework/P_2_exponents.htm

  • AbsoluteValueandExponents

    Battaly2015 12

    September08,2015

    evenpowerofnegative

    baseispositive

    evenpowerofpositive

    baseispositive

    P.2ExponentsandScientificNotion

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NY

    HomeworkProblems

    8.Simplification

    orderofoperations:exponent1st

    am=aan

    P.2ExponentsandScientificNotion

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NY

    HomeworkProblems

    3.TheQuotientRule

    am=amnan

    http://www.battaly.com/algebra_trighttp://www.battaly.com/algebra_trig/homework/P_2_exponents.htmhttp://www.battaly.com/algebra_trighttp://www.battaly.com/algebra_trig/homework/P_2_exponents.htm

  • AbsoluteValueandExponents

    Battaly2015 13

    September08,2015

    am=amnan

    am=aan

    P.2ExponentsandScientificNotion

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NY

    HomeworkProblems

    3.TheQuotientRule

    mustbethesamebase

    am=amnan

    P.2ExponentsandScientificNotion

    CollegeAlgebra&TrigHomePage

    ClassNotes:Prof.G.Battaly,WestchesterCommunityCollege,NY

    QuotientRule

    HomeworkProblems

    3.TheQuotientRule

    http://www.battaly.com/algebra_trighttp://www.battaly.com/algebra_trig/homework/P_2_exponents.htmhttp://www.battaly.co


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