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