191

a1df

Embed Size (px)

Citation preview

  1. 1. ~I Education ~.>~~I ~~ I ~L,> ~I-, ~~I ~JljJu~ ;U~I~I ~:U~~J,,:,L:ltrt
  2. 2. Original Title: Algebra 1 2010 By:Dr. John A. Ca rte r, PhD.Dr. Gilbert J. Cuevas, Ph.D.Dr. Roger Day, Ph.D., NBCTDr. Carol Malloy, Ph.D.Dr. Berchie Holliday, Ed.D.Beatrice LuchinDinah ZikeCONSULTANTS Mathematical Content Prof. Viken Hovsepian Prof. Grant A. Fraser Prof. Arthur K. Wayman Gifted and Talented Shelbi K. Cole College Readiness Robert Lee Kimball, Jr. Graphing Calculator Ruth M. Casey Jerry Cummins Mathematical Fluency Robert M. Capraro Pre-AP Dixie Ross Reading and Writing ReLeah Gossett Lent Lynn 1. Havens -a.. " I~ IJ ~ I~ 'J.>:!~ I ~,yJJ.A>. 0-! ~L:, ..'l ~1.JJ 1~0-!~ o.JL...... ~ .L4>-i ~L,.Y ~ I~ ..'ly>. J:jJl .JJI J...:-"- 0-! c~ rJW ,-:-,u.y~ ~ :!~ IJ ~~ I u2 , C' , c> ;',-~ I lr" ~ ~~IJ~ ~ y..J ~~I a.J .JJ Uy-JL......JI ur .J4..l1~ '-:!JL......JILA ~:y1 ~ DylhJl...,...ljil>1 ul..hb.A ~y . ~~ I ~I (,r-J I ~IYJ j>-.)..A Jio . ~~ I a.J.JJ ..,..,GSJI i..t 0-" 0-"GJI ~I ~ ...,...J..w Education English Edition Copyright 2010 the McGra w.Hill Compa nies. Inc. All right s reserve d. Arabic Edition is publi shed by Ob eikan under agreement with J~ ~0~1 ~~ ' 4.,.;~ I ~ 1 The McGraw. Hill Companies. Inc. 2008. .... It T It T, ,A ~J~ l..o '5~ ~ ~L;:j"i LioJ ~y..:;.llJi ,~ I Ji ",=""F~~ , ~L .r.'~ I .L1.l > "'"" ~ ''-:~'';''~':''' Ji ;'''':'3.rsJ ! -:..ilSi ; ,-,"" '~ 'J J', ~ ",i ","" .u.a:, JI"' W II:.u.) .......!.;.ll.c~ ~ "i.~W l .:r- .".h> 0>!;"J > 't~,;J1ul..l:>-.) ~ Y_i Al A~~' ~ ~~ ~?I JI.)..u1 ~ I-A ~A ~? I ;;JI..uI.j y;A.:Jl J ~ :~~ LJ YY ~.) J.>J l u l~ r-i Yi l.p-.?..p .)J.>JI0I.;;:5 ~ :~ ~ U YA . . .. .. . . .. . .. . . . . . .. . .. l.p-.?.) ~j J.>J01.;;:5 ~ t - n . . . . . . . . . . . . . . . . . . . . .. ~.)J.:;- 0.;;:5 .j J.:;- 0..l:>-.) ~."..;, 0 i rv ~.)J.>Ju~ ~."..;, : ~I ~ U 1"' ~.)J.>Ju l.;;:5 ~."..;, i. i tt ~.)J.>JI u .;;:5 ~.r" if ~l>- u~ l>- V-i t ~ I .J~I it . . . . . . . . . . .. . . . = --':"+lY'~+ r lY' : ~? l u~ ~L.uJ1 r-v V . .. .. . . . . .. ... = -> + lY' ~ + ro:: ~? u~ ~L.uJ 1 t.V v L.r-"-:.r .:r-: Jydl : ~?u~~L.uJ 1 O_V A' a..L
  3. 5. '' ~~.rJl u'i,)UIJ>- Y-II I f t!rJ1JLS~ ~.rJl u'i ,)UI J>- 'f'-II I' ' i Wl0y~1 J ~~ ~.rJ l u'i ,)UI J>- f-II "O . ..... ... ..... ~ I J~ I ,," (,) ,.....s l~ J ~I ,0, . . . .. . .. ... .. . . . . ... . .. . . . .. J..-AU ~II Y ~)~u j~~ 1-'I Yo . . .. . .. . . . . . . ~I u-"II : o.;.;YI ~WI ~ 1;;1I Y' ~)~I u l) ~ 1 ~ u~ 1 Y-'l 'f'l ~~l u'i,)U 'f'-'. I . : - 1:.: f '1'f' 0 1 0_1 Ao' . .. ..... . .... .. ~ I J~ 1 ,0, .. .......... .... .......... ( Y) crS' 1.".:i J~ 1
  4. 6. u l).~1l 1 ole u~' "I~ ! .:......J~ . ~~ I .;L..:.II J I.JjI I ~J oJ.:;xJ J.iu: J~ ~ .8 ~9~~ J~I ~ '..;r>:J1 ~~ ~ .:r",=..u.I 1~,4.;.J ~J ..L>JI u l,& ulJL.....,J 1J=o,A ! ~ Iy l ;;~ I ~Iyo 0 .J~~ '~~ '~ ' -JI ~ ) I:;....Y ..wI0..1::->-J 0y- ~ -o..l::->-J~'~ : t.P~'p~I~~l oA..JllAl ~I c.r'10"1 ~~ Ojl.;.Y'p JL:.. ~ .r r..wl 0..l::->-JJ .1 ;;>- I:;....Y ~..l>- 0..l::->-J Y :~~1 . , ..r.r.51~.r" .:l....Y .r"11 0"1 ~~ Ojl.;.Y ~ rcr r ..wI 0..1::->-J lAl , , 4-::-! .r ...I.:loJ l ut...L:>J~ s r; , ~ , - " "" '," ... -- o..t:>J ~ J u .J~"':"" .:l,.:l..l> ...l>- 0..1::->-J ~ liJ '..:....:~ , .:l..uJ1~~ ...l>-..r;5i'p t?~ # liJ ,~ ~ oA..J 1o~ ~ ~'j .4...wi.; U ~I uo: OjraJ1 'p ~I oj~1 01.?'.t .(~I .r"11 ~ oj "-'JS ~ ~J 'c.r'"1 0'pJ 'c.r'L."1 c.r'.P ~J J-Iy t G l A' = r x r x r x r = t, L L. ~'::' ~I~I~ !':""'.)~ . ~~ I'::'I.)~I ~'::'I.)~~i .~ I '::' I~-, obeikaneducation.com
  5. 9. l oS- " ,);A..s. . ............ t Xt xt xt xt = '"t x Tt .'I' x Yx Yx " x Yx Y::: YX~ Y. .J-Iy " = + y J-oly i = + ~.L5yi!1~.r.b ~ l>- L>~U I L>:JWI~Y I OillAiJI......., = 0 +i ......., = 0 ......., Xi ......., .s11 '7~ : .ji.: ~ O),~. JS ~ (,ly)C"0i) (i (VL> Xi LO x I ) = (VL>,,)(i L>l) (V+iLO x I ) = CJr~) (rJ ~,-) ( '7 (fJ> XiJ (i~)i~)cJ>~'-) >~, ~wJ.1&l1 (f+iJ C+~)(' x r ) = ~ u...1 ft.b: '1 ~..:.&o v-i"r" ~ ,.J..L...yi ~ c?y~ l.o+.JS .:> 'u = u ':> H j = ) = ,- = ;;,:AII ;;,.:3 ',-,",,' ~.r.b l 'oyi!1o~ .)~)' , ~I ~1 .x( , .:" r. ~ "" ""- ,= ( I) L>~ L> , i ~ .:.r..)...l.>' L?IJ ~ I~ .).A.Y L?'l ,j,Ay l0 _ 0 X i _ 0 (i )......., - ......., - .......,. . ,
  6. 10. ;;~' :;,:9 .I[TC"n] :oj~l.h..:...: t (TXl y) = i[T(' n ] t ( , y) = t x ' y = ~~~ t [T (T n ] (ir' ( .J""Y)( .J""Y)( '.J""y)=1( ,.J""Y) ( x x )(.J"" x__""x....""')( l xYxT) = ' I ' I I I I . t U""A= t U"" y = J U = ":"~ tJ-~:;,:i .,-:-,.r"1~ J->~ J5 o~ ~) -.h......:;..LPv .J . . ~Ji Lu i ,;J>.Ix.. L:1".;i ~ J>-I..tll (/ w.J~~ ' UW' J! ~' :.:"i c...5L.:. ~ ~1.5:.. O)':'~ 0 ' '..l>- O~,) ~ ..kA3 01,) OJ" ....,...L.i 0.Jy+' ~ ~ u5 ~ .o} o} 0)-;-....11~ '} .0.Jy+' ~i ~ .J~ ~.:,,~ . _. ul Ua1 1~J . _ . .'[Y(~ "-)f(t ~ ....,...r') :o).~1 ~ i(~ ,,_) 're~ ....,...r') ='[Y(~ "-)fe~ ....,...r') i Cr') '( ''-) Y eo" r....,...Y (r') = i ~ ( i n A~ Y ....,... a.= i~ A ~ Y....,...(ii)a. = :~ w o.)~ JS ~ 0 JUA ' [' (':" Y .)r'-) r (~'.:"y ~r'-) ( ' " (t.~i.J'"'i)'(t'~....,...''r(~yi.J'"'o) ( V ",,:,' '& l>-l ' "'}" l" ," --..;;5'1 - ~I I W I JS '5 " I , JIi.,' -, ' r j , j r ,- , -I.> .~j ~ U .J , .:.r ..:.... ~. ~..l>- ~ o ir - ''- (r' (" , 0 ( ,~ a. + '-'v ( i .J ( 0 Y~ ' o - ( 1 'I' : -tw o~JS ~ r , " .j"ili..1'-:?' . .) . . ( l~a.) Y~'' ( ~ Ciri (" (' ~)~ ( V ie~i.J'"') ( Y Y[Yen] (" C~1 iv)(~1 iO) ( ,. Y(~ ~ ,-, ti n ( , 0 l(' 0 ) ( 1 'C r Y''' ) ( ,r.:" '7"'r' J:,~W - ''';.T Jyb ..?,~ 4,;.-L, i ~ ,Y..?' =i ~ ~I ~ 4,;.-L, I A...,~ ( ' i t JIi. ...l>- O~,) o.Jy+' ~ .JJ~I ~I ~ 4,;.-L,l/ ~ (1 i ='-:"' ,'M =t':"5 ~l ~ ~ 4,;.-L, i, ( ":' I - I
  7. 12. [ Ii ( n ,n ( n !Jo. ( YO ( n Ct..r"'I)Ct.,o) ( YA :.j4 k.o ;;j~ J5' ~ ( [.!Jr)(~.!J) ( YV Y' Y 0-:.'l4!1 ~ [~ (~ T)] ( i . CJ>~~ [0i-)CJ>~~0'~) ( yo. [(v.!JoJ) ( ry ~['(,oV"" r-)] ( i ' I I I I I, , ( i 1 ( i i I ~ ~ " I :.j4k.o ;;j~ J5' ~ 0 J~ ~ (O~i-r('~) ( i i '('t)t('1r) ( i o ~ [[ i .!JOr(i ~.!Jo) ( i A ~ [' (J>t~r-) r CJ>~r) ( Y' VC~ [ ..~}h) ~C~ ''-;-' ~IO ) ( 1 ('j'-;-'IfC/,-;-,v-rc/ ,-;-,) ( i ll,'(~f-) ( 1Y ( 0 '-;-' rT)('-;-'W)(i ~ l) ~ (i ~ ) ( tt ~ (~I ~ ) ( 1i 'C~~,-;-,'1r)~ ( O~[,-;-,~i)'C~[ i)~C,-;-,~1r-) ~ (~~,-;-, ii) ( 10 ( 1A ( 1V ( 1i
  8. 13. - - ,JyJ~ 4.;U:J1 V'LA;J .~ t!.= .b ~I J~~ a.;;l1 -Jl ilil5 JJ.:5J (.k~ ~ l ;(! lJg (t ~ . ~.;; ~G J'-. 0..1.:>"J ~ J5 t.,?~ ~ 0 I ~l (0' .0WI .i 1-( -~ ~-,--t--- - I j r I 'I~ ~ J:.-o 0l51~1 ,;;~ ~~l (00 ~ ,G- ~ ;;- A J .' Y' r::-- 0~ I)W , ~L... t.,?.)L.aJ1 J5~~ )l~ ~j ~~J t.,?,)L.aJ ewlCr' -- - (0) -)' ~ l>l5:...... ,". ) L;:.;; ~ .:.>~ ,-:? ........a.; iW .) 4.>-l)~~ .:.>l5:...... .:l~ o ) L;:.;; ~ UJ.. ,-:? .:.>l5:...... .:l~ .)1 ~ L>-)' ':'>l5:...... .:l~ :-./' U.4.>-U.:.>l5:.......:l~ JL:.. cSJL., ~L>-'JI.:.>l5:.......:l~':'>..5-"-: Ii",J =~. _ - .. _ ..}.1.::>-J ~ ~L; .:l~)'d.:.:l~'JII .Jy-50I.JL.a.:.:>-1 t5.:l~ J~ ~ ...L>J1 ~1~.9 - I.:..- " :~'J ~W.) ~'1 k'" =" x r X"=~ x ~ x ~ x ,:r'xX x X x X ' = ~ -xr -x.r-xY ~ I I , A - II ~ ...;;-= ~=-A- 14.llAi -> , Y ..../1>~= ..L> l$~u'.J4c~i .1~.3i A.:JL.. L......i -, ft t J t)~~ .:l~e ~Ii" e J ~if ~ .:.>~ ~ .) 4.>-l)1 0,. ~ .)L,k;1 *j:.o.A> obeikaoeducation.com
  9. 15. ..)- =_'_ _'_=_'_= I-,, .00000i , '--':'" " '" ,:. ,:. ,:. j 'J.J ,~o...l.>-I.J OJ"
  10. 17. 1.o.uJ1~~I : I~ - ,_,T"-~ . . . 1- v- '1"- (:~:w-~)(:~J(+1 -> ~ ~ ( t -) - O-~)( -)- .J) ( ~ -)- r )) (+) = - t 0~ '-' ) - = . . 0 ( it ,-:-,)1 .)1 ~.:;..a.. )"'wI ,y ~.J ,:uo.~ ~1?0 u 4L:...1I ..r..Li.j.J..r.)l.l,J 4,,;j l..i.J j l...lA.oJI ~j ~ , ) II . Y' o~l lS~ ,-:-,) 1,)1~~~ qo )"'w1~ .o~ lS~ .. -/' qo ) ...li.J ~j':>~ III ~I I ' ': ' .t..'~ ~.J>~ , V -'p'-)I J.,b J..w .:>1~p i IJ~ ~ .:u~ J.,b) ..u. ~j -.p.-) 1J.,b ) ..u. ~j .~ ~ I )~1 ~ ,;;.L:J.J ~)I J4 J5 J.,b ~j )~1 ~ - 4 I ~.4.L.:Jl J.,b .)l~)I J.,b ~ ~.Jl ~ )..I.>J.l ;~ ,-:-,).)1J~ J5 ,-:-,) .j.:.,,1. if ~:) ~) J~ J..w .:>1~ lJ.> ~ 4.L.:J1 J~ ~.; III ~.;; .r" , 1 ~.J .).:...,1r - WI:;JL.:.~I 0.J~)'1 ~j' u-- J.S; , ~ = I- O , )~ .:WUI o .1 .'1 . 0 '" o - u ~...; u-- tf t . . cr" ;Si ~Yo . ~}YI 0Js:J1 J j.-JI L.:.i L _ . k., .... I. ~ " . ~~ ~J lJj J u-- % ' J~~ ~jJ .:u....J
  11. 18. -' '-' L., -- L.., ~ J .I- 1 1-) J"k ~1"- " ._r- ~.J - Y''..$'.(.)' . ('-)- ' " == -'-'-' 1"-, ' r =r + . =rr--)- , J}:> J l~) J}:> ~ .Ji . ~.;; ~I J"k if Of' ' ' , , ~.J~ ~)I J~ LiJ .or--u 4.:JL:.J1oyaJ ~';; ~.JLi ~I .)..wJo~ILS"; ,-;-,;t.J n ro== . '.',~ / if' ~I J"kJ! ~) J"k~ I~ , - V" " L/" n r o ~i>A~ :L/" o~1 LS"; ,-;-,; j ~L::J '-;-'j.).J ~)Y :U:S if J5)~ ~j l ~~ ( o )~ ~j ~L::JI '-;-'j.) :U:S )~ ~j ~.J Li Of' ~ .0? ~ 11 , ' , ~ v , ' ~~jjl :u:s Y 1 1 1 1 I" 0 1I' -"> -> u ~ '-;-' '-;-' .J I'( 1 (r v o . I" ~ I" ~ 0~ -">U ~ '-' '-;-' .J I' ~ - . 1" 1t.~ cr" I" w u .J.J (A (V (' ( 0v- . ~ 0 ~ . v , U /.:>~ !. w ucr" if t. Y 1" W-> ' : . ...jY.J i ( , '1' .('t'r" iff ) ( ,' O( O;~r ) (0.~ - I" (" ~ I" -"> -"> .Jr t.cr" if Jl--A 'i r, i lY ~ r ' , , , , if o.s:L...J--i ~';:;)11~.)~~) .:.:,...,:ut (' r J~0 ,,_l ~- " J !--A 'ir, ilY ~';:;)l l ~.)~ ~.)::I..>-.--A 'in i lY ~ ", ' " " ~~ / /.:>YJ -"> ~ u ~ '7'0 - - . I" YJ ~ - I' , r ' -",T ~I" .:>r~'7' 1u .Jif (Yo (Y1 (Yr (n0 T'" j I" ~ 1- '-;-' 1-' I q- JI"1" 0- Y~Y .:>/ J..9..L'>J1 ul....,,;;.s Ii J-.i11 Y
  12. 19. 0 .:l.:l)J .t;~ ~t.l -) ~ A .)1~ff i~ '-:-'y W I eJL.... ~..r"...:..J...:,J l",:",:!"",'~ .r (j--'i ~~JI '-:-'yWI (j~ OJ" ~ . ~f ~ 0 il~ ~t.ll-) ~' (' ) .)1~.r-ll o~ ~~~I rJ = ,. 4..i.......aJI I, e' :J,o.oI..llI d.>-L. .:lb..,)1 r . ~ .1 = ~ 4..i.......aJ I I, e' : ,:;.:I..1a:i.e':'~ ;I ~ ~ J - ~ v t .. ~ ..:l - i ~~ I.y ~~>IJ )J~ ~ i~I .J "-'-L. .:l~)' c:.:rJ1d.>-L. ,) 1ojl..ll1d.>-L. ~ ~Ji ~ (iI , ~ .)..wl -) c:.:rJI c:W' J~J o)I..ll1 ~ u..,a.;.:.r J5 '-:-'';'1~1 l~~ ( ":' ~c:.:.;-~I d.>-L. .)10j l..lll d.>-L. ~ W ('Yil 0 JW ( '1' V ,-:-:-"lyJl t!yi~..J.A.::; , ~l~ ~J ~ ~)o G.;> .; ~ ;u,L., J>-b .;u,U ~.J~ ~ .r.? i ~b ~ ii Ll.:->~ " t v"'o: = t -) '1;." ~ ,A>~"jJL.....-.'-="'-. y , ..>..>...l 1 ':'1~.J ~ r -, "J.JJII
  13. 20. ~u) ~ls> ~)I ~loK1 l u~ ~ .:l~~~j i'-" ils>u~,j~~ :~.bWL,u~ , ,-A , V + 0 i 0. , i + ~ 0 ,- , v- =t. 'i ,- 0 ils> b ul.f-ll.:l~ ~ 0 'U::)W~ ~ ~ ~I 0K 11.:l~ ~ t.0~ ~ .:lj..J.>JI ulp Jk...:.... ~j ..:lj.k>- op JP rL;.., ,- A, V + 0 i 0., i + ~ 0'- ,V- oJl.;.>J1 ~ u.;rJ~~ 4:-- .k>- 0...1.:>-j J5 ~ Y ..k>- u 1...1.:>-j ~ j I .k>- 0...1.:>-j if' ,)) ..l:>J1 0~ I ,)J.J.>J t ;)~ ~.)J . . .k>- -j ~ J1 ~')Jj '~ ~,j J ...I.:loJ1 u l . ~ 0...1.:>-J J!~ dJl5' ..:....ilS' 1~1J ,~ il .:lJ.k>- o.;;:s .,.A ~ o).~ J5 ..:....ilS' I~!.:l.k>- :.:lJ.k>- ~"); JI , .k> .k> ~l;.; .k>- -j ~