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  • 7/30/2019 HSA Algebra Review

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    LLI^Y Oarayafg fb Issai`e lgo Agytsitafg Fbbaid fb Ydifgolsq Eltmdeltaiy Elsim 3>>1 ~ljd

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    LLI^Y Oarayafg fb Issai`e lgo Agytsitafg Fbbaid fb Ydifgolsq Eltmdeltaiy Elsim 3>>1 ~ljd 3

    Odls ^lsdgt lgo&fs Ytodgt

    L`` ytodgty zmf mlrd gft qdt tlhdg lgo ~lyydo tmd Elsq`lgo Majm Yimff` Lyydyyedgt

    _dyt ag L`jdcsl&Oltl Lgl`qyay za`` cd sd|asdo tf tlhd tmd ytltd%elgoltdo tdyt' _md tdyt ay

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    imfaid! lgo Ytodgt%^sfoido Sdy~fgyd -jsao%ag! |dytafgy' _md tdyt ytsdyydy hdq ifgtdgtag tmd lsdly fb L`jdcsl lgo Oltl Lgl`qyay' Ag looatafg tf ifgtdgt ytodgty lsd sd|asdo tf

    l~~`q ae~fstlgt yha``y lgo ~sfidyydy tmlt odefgytsltd isatail` tmaghagj lgo godsytlgoagj

    fb tmd ifgtdgt ag l sdl`%zfs`o ydttagj'

    L`` ytodgty ytlstagj majm yimff` lbtds 3>>? eyt ~lyy tmd L`jdcsl&Oltl Lgl`qyay

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    ~lyyagj yifsd ay ?

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    LLI^Y Oarayafg fb Issai`e lgo Agytsitafg Fbbaid fb Ydifgolsq Eltmdeltaiy Elsim 3>>1 ~ljd 9

  • 7/30/2019 HSA Algebra Review

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    LLI^Y Oarayafg fb Issai`e lgo Agytsitafg Fbbaid fb Ydifgolsq Eltmdeltaiy Elsim 3>>1 ~ljd ?

    L`jdcsl&Oltl Lgl`qyay Majm Yimff` LyydyyedgtSdradz

    Jfl` >1 ~ljd 2

    Yha`` Ytltdedgty

    Jardg tmd jsl~m fb l gfg%`agdls bgitafg, tmd ytodgt za`` aodgtabq

    el}ael&eagael, {dsfy, sltd fb imlgjd frds l jardg agtdsrl`

    -agisdlyagj&odisdlyagj!, ofelag lgo slgjd, fs ifgtagatq'

    El}aee lgo Eagaee

    _md majmdyt ~fagt fg l jsl~m ay il``do tmd el}aee'

    _md `fzdyt ~fagt fg l jsl~m ay il``do tmd eagaee'

    L bgitafg mly l el}aee zmdg tmdsd ay fgd ~fagt fg tmd jsl~m tmlt mly

    tmd jsdltdyt q%iffsoagltd'

    _md el}aee q%iffsoagltd bfs tmd jsl~m ay 9'

    _md el}aee ~fagt bfs tmd jsl~m ay ->, 9!'

    L bgitafg mly l eagaee zmdg tmdsd ay fgd ~fagt fg tmd jsl~m tmlt mly tmd

    `dlyt q%iffsoagltd'

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    LLI^Y Oarayafg fb Issai`e lgo Agytsitafg Fbbaid fb Ydifgolsq Eltmdeltaiy Elsim 3>>1 ~ljd :

    _md eagaee q%iffsoagltd bfs tmd jsl~m ay %4'_md eagaee ~fagt bfs tmd

    jsl~m ay ->, %4!'

    Sdl`%Zfs`o D}le~`d;

    Ca`` haihdo l bfftcl`` agtf tmd las' _md jsl~m cd`fz ymfzy tmd sd`ltafgyma~

    cdtzddg tmd gecds fb ydifgoy tmlt tmd cl`` zly ag tmd las lgo tmd mdajmt fb

    tmd cl`` lcfrd tmd jsfgo'

    _md cl`` sdlimdo l el}aee mdajmt fb :> bddt cdbfsd at ytlstdo tf bl`` tf tmd

    jsfgo'

    L {dsf fb l bgitafg ay tmd rl`d fb tmd }%iffsoagltd fb tmd ~fagt zmdsd tmd

    jsl~m fb tmd bgitafg isfyydy tmd }%l}ay'

    L sfft sdbdsy tf l yf`tafg fb lg d|ltafg ag tmd bfse ~-}! 5 >'

    _md q%iffsoagltd fb tmd ~fagt fg tmd jsl~m ay >' _mlt ay zmq at ay il``do l {dsf

    fb tmd bgitafg'

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    }

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    Zmlt lsd tmd }%iffsoagltdy fb tmd ~fagty fg tmd jsl~m zmdg tmd q%iffsoagltd

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    q 3< %9 %? %9 > 4

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    LLI^Y Oarayafg fb Issai`e lgo Agytsitafg Fbbaid fb Ydifgolsq Eltmdeltaiy Elsim 3>>1 ~ljd =

    _mdsd lsd tzf ~fagty lt zmaim tmd q%iffsoagltd ay >'

    Fgd fiisy zmdg } 5 %3,

    lgo tmd ftmds zmdg } 5 3'

    _md {dsfy fb tmay bgitafg lsd %3 lgo 3' _md {dsfy fb tmd bgitafg ilg cd yddg

    ag tmd jsl~m cd`fz'

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    Gftd tmlt %3 lgo 3 lsd tmd }%agtdsid~ty fb tmd jsl~m, tmd {dsfy fb tmd bgitafg

    lgo tmd sffty fb tmd |losltai d|ltafg'

  • 7/30/2019 HSA Algebra Review

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    LLI^Y Oarayafg fb Issai`e lgo Agytsitafg Fbbaid fb Ydifgolsq Eltmdeltaiy Elsim 3>>1 ~ljd 1

    Sdl`%Zfs`o D}le~`dy;Ca`` haihdo l bfftcl`` agtf tmd las' _md jsl~m cd`fz ymfzy tmd sd`ltafgyma~cdtzddg tmd gecds fb ydifgoy tmlt tmd cl`` zly ag tmd las lgo tmd mdajmt fbtmd cl`` lcfrd tmd jsfgo'

    At tlhdy tmd cl`` lcft ?'< ydifgoy tf mat tmd jsfgo -zmaim ay l mdajmt fb >bddt,! yf ?'< ay l {dsf fb tmd bgitafg'

    Y~~fyd qf mlrd /> ag qfs imdihagj liifgt' Mfz elgq imdihy bfs /34ilg qf zsatd cdbfsd qfs cl`lgid za`` cd d|l` tf {dsf6 _md lgyzds fbifsyd ay ? imdihy'

    >%34}5 >>%34-?! 5 >

    yf ? ay l {dsf fb tmd bgitafg lgo l sfft fb tmd d|ltafg'

  • 7/30/2019 HSA Algebra Review

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    LLI^Y Oarayafg fb Issai`e lgo Agytsitafg Fbbaid fb Ydifgolsq Eltmdeltaiy Elsim 3>>1 ~ljd

    _md Ofelag ay tmd ydt fb l`` ~fyyac`d }%rl`dy fb l sd`ltafg'_md Slgjd ay tmd ydt fb l`` ~fyyac`d q%rl`dy fb l sd`ltafg'

    L efod` tmlt ay ydo ag eltmdeltaiy tf md`~ ytodgty tf godsytlgo tmd

    tdseagf`fjq fb ofelag lgo slgjd ay l bgitafg elimagd'

    _md ofelag ay ? cdilyd at ay tmd ag~t ag tmd sd`ltafg fs bgitafg'_md slgjd ay 9 cdilyd at ay tmd ft~t'

    _md fsodsdo ~las jdgdsltdo ay -?, 9!' Aty jsl~m ay ymfzg fg tmd iffsoagltd~`lgd cd`fz'

  • 7/30/2019 HSA Algebra Review

    11/20

    LLI^Y Oarayafg fb Issai`e lgo Agytsitafg Fbbaid fb Ydifgolsq Eltmdeltaiy Elsim 3>>1 ~ljd

  • 7/30/2019 HSA Algebra Review

    12/20

    LLI^Y Oarayafg fb Issai`e lgo Agytsitafg Fbbaid fb Ydifgolsq Eltmdeltaiy Elsim 3>>1 ~ljd

  • 7/30/2019 HSA Algebra Review

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    LLI^Y Oarayafg fb Issai`e lgo Agytsitafg Fbbaid fb Ydifgolsq Eltmdeltaiy Elsim 3>>1 ~ljd

  • 7/30/2019 HSA Algebra Review

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  • 7/30/2019 HSA Algebra Review

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    LLI^Y Oarayafg fb Issai`e lgo Agytsitafg Fbbaid fb Ydifgolsq Eltmdeltaiy Elsim 3>>1 ~ljd

  • 7/30/2019 HSA Algebra Review

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    LLI^Y Oarayafg fb Issai`e lgo Agytsitafg Fbbaid fb Ydifgolsq Eltmdeltaiy Elsim 3>>1 ~ljd

  • 7/30/2019 HSA Algebra Review

    17/20

    LLI^Y Oarayafg fb Issai`e lgo Agytsitafg Fbbaid fb Ydifgolsq Eltmdeltaiy Elsim 3>>1 ~ljd

  • 7/30/2019 HSA Algebra Review

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    LLI^Y Oarayafg fb Issai`e lgo Agytsitafg Fbbaid fb Ydifgolsq Eltmdeltaiy Elsim 3>>1 ~ljd

  • 7/30/2019 HSA Algebra Review

    19/20

    LLI^Y Oarayafg fb Issai`e lgo Agytsitafg Fbbaid fb Ydifgolsq Eltmdeltaiy Elsim 3>>1 ~ljd

  • 7/30/2019 HSA Algebra Review

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    LLI^Y Oarayafg fb Issai`e lgo Agytsitafg Fbbaid fb Ydifgolsq Eltmdeltaiy Elsim 3>>1 ~ljd 3>

    Ae~fstlgt ZdcyatdyBfs L`jdcsl&Oltl Lgl`qyay Ytodgty

    >1 fg`q!mtt~;&&zzz'eoh