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Georgia State University Math Placement Practice Test Solutions

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Page 1: Georgia State University Math Placement Practice Test Solutions

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Page 2: Georgia State University Math Placement Practice Test Solutions

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Page 6: Georgia State University Math Placement Practice Test Solutions
Page 7: Georgia State University Math Placement Practice Test Solutions

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Page 8: Georgia State University Math Placement Practice Test Solutions

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Page 9: Georgia State University Math Placement Practice Test Solutions

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. (w J S_. ?,,,_. ' _D _, ?_ __ ;..__ =_ _, ! __ _.,,_ ;__. , ; : ;_ ,__.__ _ i _ ___ ; , :..__ , ' ' __ ; ._. _ :.. ' _ ,_: _ ' - , _ _ _,: _'_ _ _ - _ _. : ' _ ' ' ' _ ' ' _ ,

T_,__J,__! _-___-; __- ,- _-'-,,,-_; --;--_, '_, _-_',.-'; _' - ; -, _;, .._;'!_- , :_ .' -_, - _ ___-_, _._- ,- _ _-; - ,_ ,., _ ; ^--' , ''' :- ;_- '_ ,-'"

_ '_-yc_'______._______,____..r__q_ct_',____ _ _ _'__ . __ ___ _ _ _i . _, , ; _ ' ; _. ' ' _ ' ! '_____ ._ .__v__/___�.,r _ __,_.__' _ ''_3_ \ _! ' , __ ; ' ; ' ' ' ' ' ; ' ' '', ' ,_L J , i _J ,r ,I_ ; _ . ; !''_'' '- -';-_';--"-__--_ -'' _- , \__'-' _-- ._ __h_'\\_-'_'' - _ !___'- '-'' ___-! __ -' _-- -_-, _i- . !_-_ _, , !_ , ;, _ _ _ '_ _ q __ --'-. _; _' __' -_,?,, J- ?,- _ ?; __- _:__J,_, _ -- ,'__h;_-_:' . .; _--__ ?- ;-- _,.3, _-; _ - ' ._

, '- /\J ,n7 _?' ;;,.;, . _ ,':. ' _ _ _,L J___ _, ' c.,; . u_. J + ___ __.__ ; !,__._ ; _ , . _0 _ _l' ,_ _,-' ' , ' - -- ' - _ '

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l_______________________________________(___r_________________________________r___t_______________________________l____l_(_________________________l__>____l_______________________________r___________r_____c_______________________________________________________)_________+_Q__t____r____________________________r_________________________/_____________________l_t________________________________lJ_______t_____________9____________________________________________________________r____)__T______________________________________\__r__l_______________________________________________________________________________t_______________________________r__t__________________________________t___________________________________________________________________________________________________________________________________________________________r________________________________T___t_____________________________________________________________________________________l_____r_r_________________________l_________________________t_____________________________________________________________________________________t_________t__________________l____________l__________________tt________t_________________________r_r__________________r______r__________________r____t_______t___________+_______t________________l_________________________rt__________________tt__________l___l______________

_ __.___-J, _ _ ____.'a^_ _; ..Cos_____ _, v_J . _ _ _. ._ _ _ __ . _. __ ' ; ' '' ' -

__ _'__,__-_.__ ;__ __!,___. _ ,'___ __?_ __ ?_. __, _ _ __ _. _, _ _._ __ '. _ ' ' _ ' _ ' _ '

___ _____J_u_ _ur_' ' ' ' _ '(._-__(__c,o,___ ____4.._. __ __ __'__._ ._._ _ _. _ '_ _ =_ __,__:__ __ __.-- ._'-. _. . '- ' '' ' ''

_. '_ Cd ) ó_. _. _e_ _ _ !_ _ __ _ u ' ' _ ' _ ' , ' ' ' i ' _ ' ' 'r\e.__ = __, ;'? _ __ ' . , ' __.,_ç,_____._ .o___ __. _ :_ __ __.__ _ __ :-: '_.. '__ _ - - ' ' '' -' ' _ '_ - -' - ' _ ' - -'' - ' ' - -

'_ _ '_. _.__.___C_____ =_______ .._. '_ _ __ _ _'. ":-._' _ _ __ '. ,=-'__ _ : ' '' !'"'-''--'' '_ ' - ' '- _ '_- "'- ' _ - " _ ' = "'\ -" '\___' -_ - - _ _ _ - - _-__-.- ._- _ . '. _.' _' _ _ , _ _ ___ _5..Q _-- ' _ "-î-'/ _J_ '' _'___ -" ''c__ ' ' ': ' ' ' : ,'-"'-"_;^ ' ' '_'t"- ' _. .___'__. '____ i____ _c_o;___e-!__;-__.___,.__: _:: ;_= _- ''-' _: __ ;_'_ ' ' _'_ -_':-:.,_='-_:'-_'-_; ,_: ;_'_'' __- ,,: :__: '_' '-'_ _-; -';''; :_i-_: _

J ' rTT! _'' -- '"" _''-M__;/i_-' ',_- -_'" -''_'"'- -''_ "-'- - - 1'_' '_'_'__ "__ _ ___._..___ ! _ __,_ _4. i__._I_?_-__ cJ__= __'_?_!.,._"-- ______.'~i_r _. '_ _ _ _ _ '

. t ' i __ _,'. !_-_?__.._;: ___,3_ __c- _c,,__ ____-___J_=_ __= _._ '_^_:' _' _: _"'_'-- _ __ '_ -'_ -_ _''_'-- '_''--_"" ; "'; " -_ "" -_ ,"' _: '-__ ': _ r_,___ ! ' rt____-_- !-" - _- "-^ '- -'-";- '- " _ ' ' _-'' -_'-' "___ - ..__5__ _ _ __,__ ,,/ _' _;____?i_i_ ___('. '__'__?___/,;, __ '__. ?,_.. _ ._ _ ' _ __' _

r_e , ' ' ''' ;_'''-'-_'___ _ _ _ _ _. ___ r ___3_.J______;____X_t_ __V__?_/___h_.+__.4. _____'_.'__,_ ' _ __ _: __'._ _' , __= : ;:";- ;_:'. _:'_- ;--'_ ;'_ _

?,oJ!_ .\__v _, ___-,_x _- 4 = __ ,! , ' '_ ' ' ' i -"!_'''''''--'"'-""t_--^^-_'''-___ ._., _'__ ___ ?_ U__ _'_,_ ' ' : rT_,_ _j_ !, T_:4 __ _ ' i , _ _ ' ' - --;'-' ^-1-_- --"''-_____'_'- "_r'^_'. "_ _ _- -_'" -'_x-- -'_ ' "---_'__'__ ____ __ -___ __,-_ -- -_,_ ____, - _,-- _-._ __ - _ -_ __ v '- +_ _ _ _ _ __ _N i - _-_- _._ .._ _ ' _ _i I ___0_ _ i r ' _ ' ' ; ' ._ .___I__. -_ __.____ _ r_ _ _ __'____,__ _'_ _ __ __t__ __, '_;-_'_-. ;______ __-____X._-,____,_?;_!,_-___ __ __._ __ _ _.__;__ ._'__.__ _'_ _ __ _ _ : -_. ''-' __'

J-_,____;a_?x-_._"____s_X, .,___/ ,___;_. _.'_'__"._ _'_ .__i_'_'_ ,__._'__ _: '_;_ .,_.,=' __:.

_ _ ; '' ''''. ; +.--'_''"''_'_'''I_'-'--'"-_ _ ; __An__s_.;__ _ ;_c_ __n:_;___,_ '_J ___+..._''__?______-__r'___\,,c__;)_ _- __;-" - '_)__=-_ _ ' -_ ' , ":-__i - ''"- '_ ''' -'' "-'"_ '--

:=,=._-__=:-__'-____.,____s__ ___i;____= __/__.__._.__:'_- "'."-_' - '- - - _ --' ' -' ' '__ ' -' '-

___.__. ________ ' r_. '"' ' '' ' ' ' _ _,! rvI'/ _!_!._-.'__ ^-' - ^- "-'-' '-;- ' ,_''_''i '-'' -_--____ ' )__ C_?\' _ '-_--_ ' _' ' 'J,"- -_'_' _'_'_- -' ''_- '' v _- --"- '- _ ' ' '_ ''_' ____" -

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__r_?_xr_t_________________________________________________)_______rl_____lt_______________________________tr___________,___________________l________l____t_|__l__________________5_________r________r________________________________________tr______________________r__r_____t____________________________0_______0___tt__tr___________________________t_____t__t____________________________l______t_l___________t_______________________________l________________(_________0_t____ll___t__r______________________u______________tt__l_______t____t_______________________________r______t________________t__________r___c____l_______________________r___________t__r_____________________________________r_____________________r_________________l____l_ll_________________r__________________t_lt____trlr____tlr_______________t___l_____l____________________rttt_r______________________t_______l__tr__rr_______________)_____l___________r__________________l_r___t__r__lr______________________________________________________________________________________________________________t_________________r________________________t_____________t____t_________r__l_______r_________________r_l________lr____t___r_________________r_t_______________r___r________________)_____l__t_________________tr_____________t__t_l____________________t______r_______- _ -' _.__J__,!_____,__.._c,_J -_0__'i'_--_5--_ '- -_'' ' - - : - - - ' "-' '-, '' -, - -- -; ' ' ; -' '. 7-7,): C__ _?.__ , ._'__, _q.__r_J. _�____ _'__?__ J__;r_ _ _ . _ _ _ ', , : _ , _ ; ' _ ' '-- - ''' ' ' _- '- _'

' _6../.,__.._ ;_____ __o.__,.r__4,_d_,'ni_.:_/_ ___J__/,.___'t__ '__ ,. __ ; ' ' : , ' ' - -'

. _ _.. __;,_ ;__;__!__00,,J_' _,___-;____'____'' ____ .:; --__._ _ ;. _,___ -_="..._.;,.--'' ____ _._. , ', :-;,___,,.-,__ ;, :': ' _._ - . _ ' . :_.,_

, : ;. _, _,_q _',_.,_,n_,_? !;___ _.____! _-._1o;_ __._..;! :_ '_.;, _,; ; ' _! : : ' _.; .:!___ -__ !;:-,_-:!-_-_,_'''" '':-_ : ':.-'- ''- ';- ' '- --; '

_,__ w_,._,,,;_,Jc,_-_':._.._sL/?d;_.'-,__;__;.,.__;__;-�,_,'_.;--___, ; _,--,_-=':_ ;.-' , ,_ ,, '',, '-; ,_: :_ - ,,

__?. J___.__;3._, .,__;J,__?__ _ _. __ _ . ''_ : _ ' .__ . ' ' ' _ !; ''' ' -_' ''.- _ ' ' _ -- - ,

_'._'___!'':; --''--_!-','!' ; ',''.-'_ '--' ;_- ':--_-'--- ';-' ' '''-'-,-';'-''' ' ' '-';"'"'' ';__ , Tr___(___,_Jh__n_.__!_.? _c..rc._'__ . . ' ' ; , , _ ; '' !!. ' ; : ' ,, : : _' ,'_I) '1(_7L_ _-s _y!-_ ;Cx____!r__.r_?___J'_-a'y _;_\'?_ --, !, ' ' , _ -; ' ! , ; ! - ' '' ,- ;-_ ',' l i;,_; i;_ _';_' ,''; ','_..;m'?5,"'_lir.____J_it-__J__.__!u?_r_ ' ____t!4'__s'_Li; ! _ ' ' _ ' ' ' _ , ' ' _ ' ' '" _'--'',-- __ __,_;', __';,'' _ ' !);'!' ' i !,,''':---',_'i"', ' ;- --",_'i'-'-_-''-'"'!,'-' ';_ ,!-,-'' -;!__-'-_ '_ _ _' -_- _- _ -, _ -,_ ; -, :--';-__ '_--;_ ' i_ ; __ ' '-\;''-' _'_,rx-_ _'3 ___o !"_'' _''_,-_ , '_,-- ''-J_J_--''- ',_/_ !!__-'''c'x'! _____--'' ' --_ ' !__ '- -! ! _ _ - ___ ---;'-' ,__'-l- U'; ;''_,,_-' ''-__,--"'-'-!, '--,----_ _' _,' ? - I.i'';-!'T--;'' _'"';--_-- _ i__ _ !._- _ '_ ,, '--_.--_ _ _, _6.,_______C_'..___!'___"..__d_; .,v_!__/_t'____.'_;._.h.__'...c_,,__I_ rpt, _i,__'1^_i__. _,' _ ' , , ' _ ,, ''

.__ 0_ ?, U___'_'UJ__,____, __u___ orc)_'rr___(__,,t_ t _',_,)__,_t _,.'._.,,' ' ' ; ' _ , !!_'J/ ,.__.,__,:_____ _ '_'_____:_;_---''",:-_=.:;. _'-"''::,-..='-:,:__,._,___,_:_.'.__' ! ', - -;- t, ;, ;_- ' ; -_ i ' ' ": ,'' '

' __c., i ;;__ :'.__ ___.,__ '._._. _5___ __%.__'_. ,!___:, _ __ ___;-. ;_ ____ ',_!_k__,'__?,_ _;___:=_i__._____ ____,_ _,,__..___'____ ''o.,? '',6. _! _.___! _ __'___.__ c_ -:o-J "._ '_ _ ;_ - '_ ' '._; '_. ' ' - ; '_

''.;--___.)_._._._}',;_!',/____';' _;.''_''.-'__'_;_:'__'. _____; -:'!.--__.;--;_',_:''__;,__;',..;,.-'',. .,' _',_-.''..;:_'_'_:__..'. _' -; ;' '-';'_'''-; _ ;

! ! ,o ,' ' r-�ú_a,''-_- ; '-''-'', ' ;-' '-'' -' ' -'-_ !'' _ , , _ --__.. ,-- ,_mf,_,. _; __,, _, ___..__ ___ _ ___ ._ ; __._ _ _ _ . ...___'__ _.__ _ ' __ _ ' . , '

_ . _ __C_,__:'.rJ_/'___;_.._.J_c_>__n__,,'_u__!,_'j''_,'__/c; ' '' _ '' -' -; ' ''' ;-, - ' -' ; , _ _ ' '__)_ ___n!.__c'__ _' oJn.t_ _ ' ' , ! ' ' ' ''' "_'''_ ''-- '''" ' '_' -' --,-- '-_''-- " '"-'" ' -'_ '--- '' '' -'' ' - '' -'--_ ;l _ _.I_, '' ;', ,' .'' -'-;i'

__,__ ; ?_ J ' L _i_; fo 'u_J !o_ ?-_e qn 'a l_ _____( ' - ' _ _ __! __' s _ _' - - -;, - _ _, - _m? _ - ;?L ?_, �n_t-; - i_' __ /9 _a_ _, _ ' ! - '' " ,! ' T ! i_ ; ; --' '!U !--_ '' ;' _ -!_-'_!_'_ -. _'''_' -' ' --'' - ' , -'-' -, ; "''' '_ "^__,_,_______. :'__ _ _,.._.. ___' _____'' ; ;, _ ___ .' , , ;, '_ , ' ;' ' _ ' -' ' ' '- : , _ '

. '. ' !. __, ', - ' ' '_, , ' ' g ',, ; _, ;J,.a _ _ ' __ '_ -T' __ !,, _ __ i, ) ' ' ' ' -, " - ' ' ',. ' '

; ;:-' '_'-_' -'' ''''_. :!.'_ _ '__;__ '' ''_ ' ; : '_, ;_: ;

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_____l__)|t____________________________________________t_|_t_t____l_________________________________________?____t_lr_r___t()_____m0_________________________________________________h_a__tr_t_rt_rt|___________________________________________l___t_J__t_|___t_|_________________________________________t___________________________r_______1___________________________t_____________________________________0______________________________l_________________________________________J_________|_t__________________________________________rt_t______________________________t_____t__(__|l_||__________________________________________T___|__tl|______________________________________________c__________t)t_r_______________________________________________ltrl|__|_r___________________________________________________|r_ll_tr_______________________________________Jt|_____|________________________________________r__r|_______________________________________________l____J_______________________________________________________l__|__________________________________________Jl____________________________________________________________r_ttr|___t__________________________________________r_____t_______tl_________________________________________rl_t___|_____________________________________rl____________l_r____________________________1__t___________________________________________________r|_||________________________________________________xtt|____t___________________________________rv_ttl_tt________________________________t_t_r_l|__t___r___________________________JJ__|_______________________tl___r|_t_________________________)tl__|________________r_l_rt___r___r____________________r__t_____________________|)|r_________________________________l_r_________________l_______________,t____________t____________t________________l____l______,r?_,h (y_J_ ' ___- Y.,___ = , _._,

ii_s . ' : J _;,a i .

-_'___-.'..__.__-_'___:s;!____' _____'s.__.__.-_.___,__.__....__.C_.___?,_:.f._?!__?J__n_ '__'__' _____ _ _ . _,_-. :!_A,__. __!!____ _.,-c_; ___._c_!_._J____,;__._ __ct.___._ - _(___;._J'_(, _/'__,c__. _/?._.; _ ___ _ , __:. ,;_. _'.. _;?

. _,. __ ''-___.___. ' :m. _,,__._.L.___ __ _; _-_ '-_! 'u._ ;_... _!__ ;c. C_,_c_ ____,_ i_ __.J __ ___,___ ._.._ '___. ;_.._._.. _ ' '_ , ' !....._. '_ _ ; _, ..,.____J !_ .__ :_ ;'_...,.._... _._.._,___!__._ ._,!__..l .,.__ ___.i__,..., _____1__' _ _,._ __'_.___.__;__''.__'__._.... ._ '_.'_ ,__,__ ._ _, .._, _ ,.., ;______ __?__;. _j' ____c_J_1?_,_._c__ _. .,, ___ l_._' ,.._. ' '__: ,.._:. _ ._ '._...' ' ._ _._ . .i_ ' .!.. _ _ _ ;.' .I' ,: _ . ,. J ,,i_ __ . ' !,___ _ __,___.,Jg?t._i,_ I !_ t , , ': ' _ ' ' . ' _. !!_ .___)_!s;_____?-v.!' ! s' _!___\' ! ! ' _ " '_ ' ' '--_,:._ ;_:___, _,'' '' )-S_h _'' , ;_ ' , ,1

' 5_!_;' _ s','__y_ ' ' _!! ! ____x' ' _ ; ' : ' ' ' ;- ' t; ,, 'l_-S-'_^x__;' co___'x J :' _, _ ' ! ':'_ '' ì! '_--_! -- '-''_'__'''-' _ -!- -_' - --^!i _-!--'i- i -' ''-''.- -- i 'i -'"--- "_-!--_J -' -! !! _ __ _-- ' -!_ ! ' ',';' S__? __'__F_ _, _S_''n'x_o_X ' _ , ' '_ ' '' ' _._.___' ;,,, , _._;,,. ' ; ___ ! 'I'ì ',_ _.._.,_ ' _2' _ __'_\?_co___x _. __i_,X ____..2_!/xX ! '... _' _:__' _ __ __ _, __....'._ ' fy! _x _ '_,_J' x' ' co__.x ' _,,.....;_ _ .. _ ._ _. . _ '. , , .,_. , _.._. __ a

, _ .. ___._u, !__, _ ' ' _ _! ,b ' ' _ , __ _. _'_ ______-_ ' _. _ _. ',._... ' ..-___.-_,. _---' .. ._ '.__ '_ - . . ;._ ;__ ' ; - ;, ' ' . __ : _- _

_ _ _' - ' _ __ - ;_. _ =_- '; ____ ' _ _...._ ;_- __ ; �_ :.c __ _- _ -: :_6 __ ' '..Ki !__ __ __ - __ :.___._,__,__ '_._... ;...._,,___., ' ' ' ' -. ' -.. ;..-! ;,...__s:_:'.;.'_ 0 :.' ;,_.'.--:'=-=;..___,,' =__- _; ____;; ;-'__=_ , - :-;.;._='''.:-__=;_;__;;-;_'_ '-:'=�_=;;-__: - .--' : - _ ., _ _';:_';-_ ;'!,;';-J0_.!) .C__,__c._. fcx__ _____ ,. _ C1\.___ __X_ Jq_.? _C _, _-_,X; _.,..._.. ,_,;,_J' ,__._, ._?- ______ _ _C..3._ = _ .v? (; _ _,._____�_,_, __,rf_:. _/ _C__),___,?

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