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ALL RIGHTS RESERVED    DPASCALSYUSERPROGFIOPRIMSPRINTERRINITIALIGETCMD SYSIO 7O0%g$i@}Y UeklKG3q|ĺ3xQ>9;I'_#OA\-[;]opSLZ{Q*5<(yh7'/UjyřJ٧S+uڔ}u).o'_φ9 EɘX DQy$=] 1i!/;恭TGT!SWcsl2_r[Set date from -lÓV D0h?n!"s9 vE!Q69*]XilST@_IrJkp ժ('2̧a@;t[d ^jYg v)=t'lA{rEa~3LOaZV.#t04<+.rB ^pT|,+q D|7'J\Oobj tgz&$$(-0;6_H»N2Iڗ `Mf/%x~=UGSIs a4' :mKywL*?8"'ؼdWY c|o{?0# Ɠ߲!88Y>=-:U%Zx1Z =LPqMMUB':)mf3 y4RK޵bdcb|=o={<'&ٜӟ~>ʷP ܉ϭ h<= jEC Q*\] ?'i)uuP;Π'TGN[yll_rkb{Pp(-*޺@Xqv󭆶9B$0 Q$*]Ҷ&юbjp09lY¸ H,ljQ m`f#'%x#~=M;Iʨa4UB%:3ƭLd?2wޒd;WjP!|oa5{9*:͝ &b 8>9PÍV & h9nY!cSYSTEM.MISCINFO®LES.DATAfdSYSTEM.LIBRARY2 TEST.TEXTfH{TEST.TEXTfH*]G#(iBgu)Ȋ;Z SKיgl_hkw *K{a.i غ@O2pҵ.X~p@v.57A101Q64 ï " SYSTEM.PASCALd9"$SYSTEM.CHARSET;$D SYSTEM.APPLEd9DFDUS.DATArdFHCOD.DATArd{HIQUS.DATArddIPRO.DATAfdXSYSTEM.STARTUPï QUIZZ.CODEd+`FG8`0($ p,&" COPYRIGHT APPLE COMPUTER, INC., 1984, 1985 C.LEUNGh&Y&&Y& 꽌ɪ\8`&&꽌ɪɖ'*&%&,E'зЮ꽌ɪФ`+*xH&x'8*7Ixix&&    ') +!  &п  x) +莶莸L莸LNO FILE SYSTEM.APPLE SYSTEM.APPLEJ) (jJJ>Lx "?I  `  C x Nx G .x- `V0^*^*>` aI꽌ɪVɭ šš që  N "ˡ )á á áaˡ á Nšá áÄ  0& "ˡ  J   00áQP 0á0 é000+-Í-   ġނš  šš!۞ۂۂەߓS  ! "ˡ.! "ˡ ߡ  šۢ ::87CONSOLE1:7SYSTERM2:7GRAPHIC3:7PR P:NEWC/C.CODE:6REMOUT8PSb.:=b4/#b:a@:%aF:`L!I`R[/`X)`2 4j P:NEWC/C.CODEDEDEKYKK.2 4k/P/NEWC/C.CODE.CODE  /IF/E .gEH87CONSOLE1:7SYSTERM2:7GRAPHIC3:7PRINTER6:5REMIN7:6REMOUT8E/KY Kh Pt.PE87CONSOLE187CONSOLE1:7SYSTERM2:7GRAPHIC3:7PRINTER6:5REMIN7:6REMOUT8P IYIL: P/.P> Dⓡ4"צˡ䓡 &ˡ& öÍ##&á &'"&㓶℡'á.0:'#.+á$š ġ  ^ $?š?ˡ?ء "ˡ%ߕނ߂ɡ F b%ARAn@vvXX < ~LJ> P b p 2 F 'ˡ   d쓡  !!  # 0"ˡ4$ š F#,á1š ġ  # #6"'á *   šˡ 퓄 Ä퓡x š   ɍM   "ˡ. š K%"á61 ɚ V %ɡšɡš  V#&ˡ @šQȡ2 š:X f Ą ɡ 낫š ꓡ!š땫Ě@%"á1ꓡ삫Ú ȡ*ńȄ4šáRתPńȄ ,ń.áš蕿   Q lȡPš蕫š 쾿  /P ná " * 0ˡ ɡa áá0š  %4á1á$009ȄX 000á'$á 009Ȅ00 qS\  ɡ'áצ-32768 ^ 逫-ġ>00ń2ب"́$ʁ$ ʁ$ ʁ$ ʁ$ʁ$!"ʁ$ʁ$ʁ$ʁ$FZ   ނ ń! áނ š   šš$ !۞ۂۂەߓh  ! "ˡ ɡ!  ! "ˡ ߡ š  ńá4 á,á" r آڤ áCá>آآ*Ík vޢ ȡUڤ ˡBȄ-ܢ0ۤ ݢ`ڤá \zڨ !!P!x!P &(.Bۢڤ ɡš2ȡۤˡ áڢڢˍ? Pˡצ š š۾.ˡצ([šܕ!!(š۾:ˡ١.TEXTת .CODEת!!ȡ)ܾaܾzȄ ܾaAܾ ɡ?š!!Ȅ11צ(The 64K version of SYSTEM.PASCAL cannot צ)run with the 128K version of SYSTEM.APPLE d<,Dh YSTERM:  ø !צ  תצP@22ˡ'Version 1.3 of SYSTEM.PASCAL cannot runצ&with a non-1.3 version of SYSTEM.APPLE@22 `    p  CONSOLE:ת צSYSTERM: ۶ ضá}۪*SYSTEM.STARTUPתٟá'      צCONSOLESYSTERMצGRAPHICPRINTERצREMINREMOUT[Bfhjl ʀ  ʀ ̀ƀ ƀ ƀ   ʀˡ L تٞ&"á ٤ ȡؤצۢÍ ȄۢÍ؞&"á  ʀʀ ʀ ʀ ʀ  ʀʀ̀ʀʀʀʀʀʀʀʀʀ̀̀ʀʀȡʀʀ̀   תʀ'*SYSTEM.MISCINFOת; ̀ʀ*ʀ+ʀ,ʀ%2 &̀ʀʀʀʀ%̀̀̀ʀʀȡʀʀ̀ʀʀʀʀʀƁ/@š4SYSTEM.CHARSET+ \٢ š٢ ٢٢ 4$  /   d::87CONSOLE1:7SYSTERM2:7GRAPHIC3:7PR P:NEWC/C.CODE:6REMOUT8PSb.:=b4/#b:a@:%aF:`L!I`R[/`X)`2 4j P:NEWC/C.CODEDEDEKYKK.2 4k/P/NEWC/C.CODE.CODE  /IF/E .gEH87CONSOLE1:7SYSTERM2:7GRAPHIC3:7PRINTER6:5REMIN7:6REMOUT8E/KY Kh Pt.PE87CONSOLE187CONSOLE1:7SYSTERM2:7GRAPHIC3:7PRINTER6:5REMIN7:6REMOUT8P IYIL: P/.P> 8 ́$ʁ$ ʁ$ ʁ$ ʁ$ʁ$!"ʁ$ʁ$ʁ$ʁ$FZ   ނ ń! áނ š   šš$ !۞ ȡ0ޤˡ ߢ`ޤ7 VڪƁ Ɓ "áP̂/ʁ ʁ"ˡ3Ƃ. Ƃ.Ƃ. Ƃ. Ɓ Ɓ X  ߪPƁ]Ɓ4 PƁ4ƁaƁeƁmƁn ́oƁaʁo ת "ˡ ܡ́tˡ2"ˡڡsƀ ˡfSYSTEM.COMPILER RFORTRAN: 4  is not version 1.3ړ22 Ɓp Ɓp! á ݤݚ ˄ܟń ١á  ޤ uš  gá Ä+ޤ  ɡáޤ á ġMáš6 ܂ۻݪ d (   š Í ÄU ǐɄ:ń  šá٢.ٕ۶š ڸ۸۶ š۸ ڸ:   ȡQ  ȡ   ȡ? ȡ  ġ ۢ؂Xڢڢڢڣ ڣ ١ڢ ڣ ڣ١ ڢڣڣ ڣ áڣڣġ ڢڣڣ hڢ ڢ١ڢ!ڣڣ ڢ!ڣڣ ڢÄڣ &ڢ ڣ ڢ! ڢ!ڣڣ ڢڢ ڣڢÄڢ ߢ  d˯7 H  ۣȡڤ  ۣ צۣۢ0H ܣġ ۤ ٤ ڨ ܢܣ*@ۢۢۢۢٚÍۢáۢɡ ۟ۢ`ݤW ˡ!  ,ߓ$ ޓ "ߓۄ,ݤ ߓÍߡ2ݤ š˄ڶ a3 d ޓ(ݤ ߢܯ"á  ܡ:" áܡ ܓת$ ڟšx#ńF 09Ȅ ᾂ0 ߓńȄޓޓ!ܲݤߓÍߡFۤ ōɍ ō ȍ  dč ܓܡߢ ܓߦתߢޢ!ޢ!9 L ٤ Íܡ~  , Ąܓ7צ.INFO$.GRAFׯצ.FOTO /T ڤáޢܡ ޢޢޢÍÄޢÄȄĄMȄt߷iȹ22ȡ2š5252á4w4]11á4\1šV42233039Ȅ 3042221421Ä2*á444ń55P.TEXTׯ]צ.CODEJ.BACKׯުPצצ22ȡ5233 ȡ 23a3zȄ 23aA22š*áݲ%áݲצ:22ȡáݲ 2á!2ȡ5252š[22š222Ɓ2Ɓṕsʁsȡ%Ɓ2ʁsƀʁsʁśsƁq ƀƁq O*SYSTEM.LIBRARY  ́sʁsȡ'ƀʁsʁsʁśs2 Ɓ](`   á/)צ*SYSTEM.ATTACH áá(*SYSTEM.STARTUP š pNBz version 1.3ړ22 Ɓp Ɓp2Ɓ2Ɓṕsʁsȡ%Ɓ2ʁsƀʁsʁśsƁq ƀƁq O*SYSTEM.LIBRARY  ́sʁsȡ'ƀʁsʁsʁśs2 Ɓ](`   lܟ˄ݤ צ   ١  n ١ á9 ٓ/! !!١ ˡ) ! 䚹 9U[2˄ޢߢšáޢ ޣ ߢ  dޣޢޣ ޣߢ  dÍÍޢˡ ݓۤ ϐ8 (ֹO H֥ +ֹW H H)*Ȫ`FG8` 7 `0($ p,&"VU>)Q>jj`l ! a hx ץH( h ֥HH`:ֈ`֙:`JJJJ C֩B8`Ί aՍxՍՍՍե>?Ռ8T8ՌWuՌvՠ ýI꽌ɪ꽌ɭ蠪ϮәVE]ӾV]H)]ӾV]ԙ)]ӾT]ԙ)]ӦΨ 8$hU>`ȅSϭ߅83Iߐi ө ө ө ӽ`Hh`Q꽌ɪɖν*Ͻ%ϙEΈ 꽌ɪ`8` Hh݌`  $(,048<@DHLPTX\`dhlptx|Հ؈䤨谴LјJ 8彐.mĿ"Š>?( _֮ˍL հ˩($8` Ґh Hǹxhx N`8Ύ߽0|ϩHhHh ӈ ө ө ӘVYԦΝYԮߝꪽԦ ө  Ͱ()I يJJJ(jǩF؅G(  Hֈ k( F G  Wj0 خ $Ӱ4 xH ߩ`Ǚx kh k@(LYҭH͍h (ͥpi)ͥˤ˹,hhJiЍ L֢ hLh )hJ¥jJJhhihhhhhhb\8ſƅhx Щ&'H(f'ꮭ'eƍ8ƅб ĘHH``P@ߠ ߮                                        ۤ Äݓۤ  dÄÍߢ ˄ɡۤ  dáߢ  dá ߢ #ޣ˄ ߢ  ߢ ۤ ߢޣ ޣߢ ޣޢ ޢۤ ޢ áޢá צޢޢޢ/13:! $ ~\",䚹 9U[2˄ޢߢšáޢ ޣ ߢ  dޣޢޣ ޣߢ  dÍÍޢˡ ݓۤ ۤ Äݓۤ  dÄÍߢ ˄ɡۤ  dáߢ  dá ߢ #ޣ˄ ߢ  ߢ ۤ ߢޣ ޣߢ ޣޢ ޢۤ ޢ áޢá צޢޢޢB֠BȱB֭J `JB)BC ֐+/ @( ` ֌֢`0&J}iʰ ֥͝֐` حBCJuJ DE 9ؽFG ְU0ЬЧJ2DEDEDD@+( `8][ ZD[E`ʩˠhhѱʅE[ʅDZȑ`8Hh`HH(x h(`HHH*LfF0 9ݐ9 Lo٥")jR )LLa x8񆅔ȥ񆅕 x iiL;楖 K䥘 K䥔 Kхх K lƄL`8ƛ`8Ƈ` 8` ^\_]`hh /Lhh LҠX lhhhhhihhhhLhthuhettheuui ʑtuL榅HHHAH@H > ]>HBC\8倅\]偅] ]H\ŎRRLҠX :LҠX :PQȑLҠXX /XY  0 LX :QHPH PȱPP꽥QLҠ RhPhQL RR8~S~\ȱ~]X i RHRH R~ȱRV8Z[ 8Z[LѠRȥSȥTȥUȥVȥWXiȥYiL_ht i~i8~~X~YiTiUR콥S8\ȥ]\]VWlX : ƎRSLȱȱ SL ȄHHLhh ~LPhhV~W\]~8傅~~8傅~8~~~:XiXY x8񆅚ȥ񆅛᭼HHl0 Lү8Ƈ8񆅈񆅉D>8񆅈,t8 uHLҩ%vHHLhhh h膀e ň8内e~l8吨L^ऐ 0 8`hh ~ h0 \L SLlvLL/ pL p8L ~ hI=+ \L ~襈I= (hI`J) )i i`HH8(iPH ߠ'(hH tߩ thhehL ߍߠ'O`J!L80 %M8$L/L`    Objqޏtޘޤޮ޴޵޺޹м`|H ߠ ߠ'È h`@ ؠ ح0`+` ޥHH ޥhhL ߦ ސ`,10` ` ` ` ޤOȄ`H$)A[hIH80(hI`i(8H(LhhhhhhhhץHH`JJJJ ϱ`H "ݠLf H 9h`JIi' 'x`38 0P`8 0 ߥ` )`,10 )?ILޢݮ` ߅߅l(,LZ ݘJJ )  LJI)LZܩLZ܊) 9ݐ)LZ܊JȩآL ݠ؈hxJiЍI*EJ F؅GF G ӝ4ȩآL ! ֑ȭ֑ Lܢ `) ؊H "h ɢ` ع)`H B "ݠLfڠ0* )` ]Hh` } p pۢ` ێ` ح`2`) ! ` عJ` " MȽ` B "HLf ݠ }ۑ p0 ۩J*L ݢhhhHH)> `( $ `Q`) " Ȣ``H "ݠ h ڍ,,`lJI*I II `$p"0*nXw ؆ ڤ ڢ` ` (!/< ` ح0 ,10i0  I ,109,c$0 A[ $P0Jj)jj&UIL؈ )?LI@a Hb c0  hH َh$L hhh O靱`hhh(`hhhhLtLhhhhhehehhhhhhehiehIihIiiŒ.Lc祔'ņŇ0 LR祆8ƇLR祆8厪HHLhhhhTLץT8~U~8~Xȥ~YT VLҥRSLȱȱLѥ8Ɓ8 ри~ȱ~LҠ ULҥXiXYLh~hhh~ȑ~Lҥrehrseistehtueiuisu ʱrtLhLrtLhhhi0QhthuhettheuuhrhsherrhessXЋiʱrtusL覭  < @6~7aƁ)?# ??~ȑ~~i~e~ȱe~ȱ~ȱ~~i~iи4\R5]S [ \v]w]|\ /v\w] RPRRSQRR 8Rȭ9HHHH  < `) ,1P `*0 N`i iIHH9H8H ?@#>>) l ??ԬП8ƋȱHHHH`HHHHHH 0"01 ɃɁ1ح:/;089 "!歛筜䭝)VV#$6 </\z FLLIEHJh**F`F$Lө ޽޾ HHHH`HH,`\Xnl rl1 )% ۠)ͩ3ƊgƈЉ** 6`| BQRTWHHlRHHlTHHlVhhi a0<7) ` ` ޽` H Hl H Hl>޽ Insert boot disk with SYSTEM.PASCAL on it, then press RETURN# SYSTEM.PASCAL is not V1.3#lhLhxhmDŽ ,І 9LC " O ڧvߜߔ> Әߐ"Ӡ[Q:2xԶA׶wwwwwwwwwwwwwwwwӼԹԹԹԹԹԹԹ ҹHH`qM`LL;LLLL'LLLLLLCLXL?LXLLLhLLLL?hiZhihh ҭHH`l(8L/0 ]^@[ MNP]^@LLLLLLLLLLLLLLLL ҨHLHl/LRѭlҩlLhh0HHLҨIiIiHHLҺ}}LhIihIiHHLҺ8Lҩonff nenoeofofnff`hh0 hhLhh"IiIiIiIi ץHHLҺHHLנnoLѥIiIi攥IiIiƔ8吥呰 ` of"f fofn8no8&&`ffofn&&`hhhh ץIiIiHHLhhhh ץHHLh~hhhE0ܲಶȪ(ʷXԲ[E:Epson printersles.TEXTK.CODE7.TEXTM[patibles.TEXTK.CODE7.TEXTM[@ SSD:SYSTEM.WRK.LIBE [S q SSD6 MP< GSYSTEM.LIBRARYJ mmTHK @ SSD:SYSTEM.WRK.LIBE [S q SSD6 MP< GSYSTEM.LIBRARYJ mmTHK ܲಶȪ(ʷXԲ[E:Epson com & ߲8D8>dʡvP ÊV {ϧqh.6n6!YJ7A Studentdentf Acade6[A#/vUyg C,uC;w5S&fsms礇kt ()W.c3V+s3-CeExecute**vvʡA102Q test generatoratororfairsUSw67, Yu,2ec>+BqCDS7J}C ֏\Ob[57tgz(s)]hΒ;['KnDݭ0Vi6^GHNԅڮ `ft%x~1, 9=ƐJIG"*UmaH4':m3Ɗz"yL?RdLKodWj^Nc|wo78R{6ޓ&Ӭ\8ͫ>!ġ\P(ÇV~ 8`$/hK3n!(-p6p9 7 E 䞕Q*$N-*s]Ld#趂i`<-/Bufȧ;7^TGZݍHSH洙$lC_=rkzw}gd!y՞(.&@U@hFy ϿkX^&Mp](v )1Eum5W4Ao-fMy+INTROSGNUMCTRLUIPLOTIGRAFSIMPMIDENTIFORMFAINTFTTRMISOLVSOLVEFRINTTESTPROG óUJa4':@m?3gykL?,R0KLduW j kc|ouo{3oM{$ :~р ȱ~р~р %v HHLҩHHLҢh~E0~E~~~Ղ0L+ߐL+h)~hh)h~L#ߩ vhhh~hE0Ł~ŀHJ@0D:hhLhLҩLҩH?? vXLALL{L   UFifhLޠ Uhhh~hXYhLޱ~р~iL'߰L+L#߈hhޅޅh~h~ޅ~ޅ pHHLҦpHHL @hhHHHHhhhhLݥ)L8内凅Lݥ) fj~) fj8~݅݅HHHH9ޅ9ޅHH~ HHHiHLҩHHLҩHHL~Ƃ~eʥƂFHHLҠX hh&ŎL0eeƎLҥ8包Ŏ 8吪8吪ƌLhh&eȹȹp)1)fjjj)?~Ōe~980~~i ~&&hhȱI%~I%ȥLhhh heȄ Ȅ~l `ۦ8e h9 0 ʚL `ۦņ hI9ʚL `ņ0 hʚL҅Ʌh Uѥi h&L.ڥhi ץheheHHLҠXXhh &heheHHHHeHHLhhhhhhȱ80 iff =݅=HHLh~hhhhh ݅%~~݅%Ń)ŀ!0E0~łLLXYXXYYHXHL_XYYHXHXXYeXXYLhrhshthuXs&trȑtLҠrrtLٱrtLLҺ~~LLҠ UhehheiHHLҠ UhehheiHHLh @SSD|SSD @D.CODEFFʷ6 V Nright . !of the number to be multiplied. ght . 'A non-zero number to the power 0 is 1. $1 66789 600 000 5100 5*223wer 0 is 1. $1 66789 600 000 5100 5*333wer 0 is 1. $1 45666 600 000 5100 --:/6wer 0 is 1. $1 45678 500 100 51011*6051wer 0 is 1. $1 34560 41011(5(51".4)(3) 3. $1 34567 500 100 4101 D D1".4)(3) 3. $1 23456 500 100 4111 +5+51".4)(3) 3. $6 66666 800 077 5100722:/6".4)(3) 3. An exponent or power means ".4)(3) 3. repeated multiplication. ".4)(3) 3. %It is written above and to the of multiplication. rse 334".4)(3) 3. Fractions are used rse 334".4)(3) 3. to represent division. 334".4)(3) 3. $1 66778 600 000 4100 $$6+4".4)(3) 3. $1 66778 600 000 4100 HH6+4".4)(3) 3. $1 66789 600 000 4100 :$..3".4)(3) 3. $1 45678 500 105 D1".4)(3) 3. $1 23456 511 100 6211 +5-31".4)(3) 3. $1 45678 501 100 62011+5(71".4)(3) 3. $1 34567 501 100 6201 )7 D1".4)(3) 3. $1 23456 501 100 6211 +5-31".4)(3) 3. $5 66778 800 022 41005B!334".4)(3) 3. Division is the reverse 334".4)(3) 3. ; 611 000 6100 3(221r 3+3+3+3. $3 6789; 611 000 7100 --3(1r 3+3+3+3. $The expressions (4)3 and (4)(3) 3. also mean "four times three".4)(3) 3. $1 6789; 611 000 6200 3())1".4)(3) 3. $1 45678 511 100 62011+5(71".4)(3) 3. $1 34567 511 100 6201 +adding. $1 34567 501 100 0401 D D1and adding. $1 23456 501 100 0411 +5+51and adding. $4 67888 811 040 61004445*3and adding. 'Multiplication means repeated addition.' ~~~~ The expressions 4*3 and 4(3) &both mean~~~ "4 times 3" or 3+3+3+3. $1 67890 21011(5(51and adding. $1 34567 501 100 2101 D D1and adding. $1 23456 501 100 2111 +5+51and adding. $1 45678 511 100 04011(7(71and adding. $1 34567 511 100 0401 D D1and adding. $1 23456 511 100 0411 +5+51and adding. $1 45678 501 100 04011(7(71and $1 66778 611 000 2100 3(221and adding. $1 66778 611 000 2100 553(1and adding. $1 66778 611 000 2100 3(..1and adding. $1 45678 511 100 21011(5(51and adding. $1 34567 511 100 2101 D D1and adding. $1 23456 511 100 2111 -3-31and adding. $1 45678 501 103-31 . swer. s $1 45678 501 100 31011(5(51 . swer. s $1 34567 501 100 3101 D D1 . swer. s $1 23456 501 100 3111 -3-31 . swer. s $3 66778 811 022 21001331<1 . swer. s We subtract a number 1331<1 . swer. s &by reversing its direction and adding. ining their arrows.1 . swer. s $1 66778 611 000 3100 3(221 . swer. s $1 66778 611 000 3100 --3(1 . swer. s $1 66778 611 000 3100 3(..1 . swer. s $1 45678 511 100 31011(5(51 . swer. s $1 34567 511 100 3101 D D1 . swer. s $1 23456 511 100 3111 -swer. s is the size of the number. . swer. s $1 34567 611 000 81011(5011 . swer. s $1 34567 611 000 8101 D011 . swer. s $1 12345 811 022 8111 -3011 . swer. s $3 66778 811 022 31003223(1 . swer. s Numbers are added 1003223(1 . swer. s by comby to end your answer. s $7 33444 811 088 810055*015r answer. s An arrow pointing up 55*015r answer. s represents a positive number. swer. s An arrow pointing down umber. swer. s represents a negative number. swer. s The length of the arrow mber. $7 33333 :00 z00 2201149141 Gpc %We'll start with some easy problems, to show you how this works. oblems, "When you see the flashing cursor, s, &please type the answer to each of the 'following problems. Remember to press %the [RETURN] ke7 500 100 5101 '9031wer 0 is 1. $1 4568: 400 100 25011+5+51wer 0 is 1. $1 2468: 400 100 2501 D D1wer 0 is 1. $35 0 33456 <001 2501 D D1wer 0 is 1. Any portion of an expression in is 1. 'parentheses is always evaluated first. F000002923050a(b+c)ys evaluated first. F000001523050(a+b)iys evaluated first. F000001923050a-(b+c)s evaluated first. F000002523050(ab)ic)s evaluated first. F000001923050(a+b)(c+d)valuated first. $44 0 23456 800+b)(c+d)valuated first. Multiplication is always done d first. 3456 :10x]+cb[y]cate otherwise. F000002923050(x+a)(x+b)cate otherwise. F000002523751a+b(x+y)[2]ate otherwise. F000002523051ax[2]+bxy+cy[2]otherwise. F000002523751(a+x)i-(b+y)[2]otherwise. $34 1 23456 :10+x)i-(b+y)[2]otherwise. !The innermost set of past. . $Remember, powers are computed first . &unless parentheses indicate otherwise. F000002524051ay[x] indicate otherwise. F000001524051xi+yj indicate otherwise. F000001523051a+b[x]+cxicate otherwise. F000002424051a[x]+cb[y]cate otherwise. $14 1 2art of an expression . #in parentheses is evaluated first. . F000002923550a(bx+c)aluated first. . F000002523550(a+x)i)aluated first. . F000002923550-xi+a(y+b)ated first. . F000002522550a+(bx)i+b)ated first. . $34 1 23456 810(bx)i+b)ated fir when needed to avoid confusion. gn . F000002923:51xy+xzid confusion. gn . F000002523:50axi+byd confusion. gn . F000002923:50ax[2]+bx+cnfusion. gn . F000002523:50a+xyi+bx+cnfusion. gn . $34 1 23456 :10xyi+bx+cnfusion. gn . $Remember, any p. ation sign . F000002923050ax+by+czrs. ation sign . $64 1 33456 :10+by+czrs. ation sign . !When replacing a variable letter gn . by a negative number, ble letter gn . we put parentheses r, ble letter gn . around the negative number etter gn . ans "x times y". ers. ession . When substituting numbers, s. ession . $we use "*" as a multiplication sign . to separate the numbers. ation sign . F000002923050ax+yumbers. ation sign . F000002923050x+ayumbers. ation sign . F000002923050axy+bmbersssion . by the corresponding numbers. ession . F000002923050x+ading numbers. ession . F000002923050x+yding numbers. ession . F000002923050x+y+ang numbers. ession . F000002923051x+y+zng numbers. ession . $54 1 23456 :10y+zng numbers. ession . "xy" me((a+b)i+c) of ther ise. F000001513050(a-(b+c))ic) of ther ise. F000002923050a+b(c+d(e+f))of ther ise. $54 1 23456 <10b(c+d(e+f))of ther ise. 'In algebra, letters stand for numbers. % We evaluate an algebraic expression . by replacing the letters expre$54 0 23456 800+b)(c+d)[2]e otherwise. "If parentheses occur inside other ise. parentheses, the contents of ther ise. the innermost parentheses of ther ise. is evaluated first. heses of ther ise. F000002D23050a(b-(c+d))es of ther ise. F000002523050d-cate otherwise. F000001612550a\2i\-b\2icate otherwise. $14 0 23456 8002i\-b\2icate otherwise. F000002523330a+b(c+d)iicate otherwise. F000002523330a+b(c+di)icate otherwise. F000002523330(a+b)i+cdjcate otherwise. F000001623330(a+b)(c+d)[2]e otherwise. 3456 800a/2\-\2b\)\2iotherwise. Powers are always computed iotherwise. before doing other operations herwise. 'unless parentheses indicate otherwise. F000002523050abies indicate otherwise. F000001612090a+b\2iindicate otherwise. F000002523050abi+cjindierwise. before negating or subtracting, rwise. 'unless parentheses indicate otherwise. F000002612000-a\2i indicate otherwise. F000002612000(-a)\2indicate otherwise. F000002512000b-a\2iindicate otherwise. F000002512000(\a/2\-\2b\)\2iotherwise. $44 0 3bc+dindicate otherwise. F000002923330a(b+cd)ndicate otherwise. F000001323330(a+bc)indicate otherwise. F000002523330a+b(c+d)dicate otherwise. F000001923330a+b(c+d)+ecate otherwise. $44 0033456 800b(c+d)+ecate otherwise. We compute powers +d)+ecate oth!before addition and subtraction, irst. 'unless parentheses indicate otherwise. F000002923050a+bcs indicate otherwise. F000002923050ab+cd indicate otherwise. F000002923050a+bcd indicate otherwise. F000002923050a+bc+dindicate otherwise. $14 0 23456 800rentheses wise. is always evaluated first. heses wise. F000002923550a(x-(y-b))st. heses wise. F000002523550x(x+b(x+c))t. heses wise. F000002523551(a-(x+y))i)t. heses wise. F000002523551a-(x+(y+a)i). heses wise. $51 02111110510(x+(y+a)i). heses wise. The perimeter of a rectangle is wise. 'if w is the width and h is the height. % Find the perimeter if the height is . [ and the width is \.f the height is . F00000az2200/2W+2H \.f the height is . $61 01111110510+2H \.f the height is . In t seconds a d)erms. theses F000001923000a+(bxi+cx)+(d+exi)theses $14 0 23456 :20(bxi+cx)+(d+exi)theses F000001925000(axi+byj)+(cxi+dyj)heses F000001923000axi+(bxj+cxk+dxl)j)heses F000001923000a+(bxi+c)+(dxj+e)j)heses "F000001923000(axi+bx+c)+(dxj+ex+f)ses 3456 :20bx+cx+d+dxkowers first. Expressions in parentheses wers first. &are added by removing the parentheses and adding the separate terms. theses F001001923000ax+(bx+c)e terms. theses F001001923000(ax+bx)+cx terms. theses F000001923000(ax+b)+(x+ables, "Terms with powers of one variable es, 'are arranged with higher powers first. F000002923550a+bx+cx[2]r powers first. F000002923550axj+b+cxi+dxpowers first. F000001923550axi+bxj+c+dxkowers first. F000001925550a+bx+cx+d+dxkowers first. $44 0 2wers of the variables, cannot be combined. f the variables, F000002925000axi+by+cxj+dy variables, F000001923000axi+byj+cxk+dylariables, F000001923000a+bx+cy+dxk+dylariables, F000002923000ax+bxy+cxy+dxylariables, $34 0 23456 :20+bxy+cxy+dxylariF000002922000ax+x. appears, nt 1. s, F000001522000x+bx. appears, nt 1. s, F000001322000x+bx+axappears, nt 1. s, F000001325000axi+xi+bxiears, nt 1. s, $44 0 23456 :20i+xi+bxiears, nt 1. s, Terms with different variables, 1. s, &or different po)x. parts). s, F001102923000axy+bxyp+q)x. parts). s, F001102923000ax+bx+cx+q)x. parts). s, $44 0 23456 :20+bx+cx+q)x. parts). s, $We usually omit the coefficient 1. s, When no coefficient appears, nt 1. s, we assume it is 1. appears, nt 1. s, 3445 :20 = 3x+2x.any order. es, Terms with the same variables der. es, are added by adding variables der. es, $their coefficients (number parts). s, Remember, px+qx~=~(p+q)x. parts). s, F001112923000ax+bx~(p+q)x. parts). s, F000002923000axi+bxip+qtflies, $2 18 x+y,y+xarting with f fruitflies, #Numbers can be added in any order. es, $1 08 x-y,y-xe added in any order. es, $1 06 (p+q)x,p+qxded in any order. es, $2 16 (p+q)x,px+qxed in any order. es, For example, 5x = 3x+2x.any order. es, $54 0 2 cm. of a box \edge ]r !with a square base of edge e cm. e ]r and height h cm. e of edge e cm. e ]r '$22 1 f 4\20\fruitflies\0\5\f*2[t]\time \population0\fruitflies\0\5\f*2[t]\time'The size of a fruitfly population after' t months, starting with f frui \time\height\5000\meters\0\10\m-5t[2]r $The height (in meters) of a missile ]r #at time t seconds after it reaches ]r its peak height of m meters eaches ]r "$23 1 h\2\20\cm\2\12\2e(e+2h)\edge ]r \area h\2\20\cm\2\12\2e(e+2h)\edge ]r The area in sq.tflies. ks, n #$23 1 r\30\80\miles per hour\0\5\rtn \time\distancemiles per hour\0\5\rtn !The distance (in miles) traveled rtn by a car in time t hours raveled rtn 'at an average rate of r miles per hour %$23 1 m\1000\5000\meters\0\10\m-5t[2]r 111105102]H of length \. ght [ After w weeks, the formula h \. ght [ %is the size of a fruitfly population which began with p fruitflies. tion #Find the population after \ weeks, n if we began with [ fruitflies. ks, n D00000382200/P2[W] fruiond. . The volume of a box is per second. . where s is the length of er second. . 'the (square) base and h is the height. & Find the volume of a box of height [ with a square base of length \. ght [ F00000:D2200/S[2]H of length \. ght [ $61 011car travels height is . feet at a velocity of v feet ight is . per second. Find how many feet t is . it travels in [ seconds ny feet t is . $at a velocity of \ feet per second. . F00000:Z2200/VTf \ feet per second. . $61 01111110510f \ feet per sec$1 06 (p-q)x,p-qx+bx+c)+(dxj+ex+f)ses $2 16 (p-q)x,px-qxbx+c)+(dxj+ex+f)ses For example, 5x = 8x-3x.(dxj+ex+f)ses $54 0 23456 :20 = 8x-3x.(dxj+ex+f)ses Terms with the same variables x+f)ses are subtracted by subtracting x+f)ses $their coefficients (number parts). s Remember, px-qx~=~(p-q)x. parts). s F001102523000ax-\a+b\x)x. parts). s F001101923000axy-bxy\x)x. parts). s F000002923330ax+by-cy+dx. parts). s F000002923330axi+bx+cx-dxi parts). s $14 0 23456 :20i+bx+cx-dxi part$14 0 23456 :30x+b)(cx+d)d. , heses. F000002923331(xi+a)(xj+b)d. , heses. F001002923331(ax+b)(cx+d)d. , heses. F000002923331(ax+by)(ax+by) , heses. F000002925331(axi+bx)(cxj+d), heses. $44 0 23456 :30xi+bx)(cxj+d), heses. When we multiplmials, heses. must be multiplied rst mials, heses. by each term of the second. , heses. F001002923331(x+a)(x+b)ond. , heses. F001002923331(x+a)(y+b)ond. , heses. F001002622051(cx+a)(x+b)nd. , heses. F000002522051(ax+b)(cx+d)d. , heses. iply two expressions +e))l)es . in parentheses, we multiply +e))l)es . &each term in the first parentheses by %each term in the second parentheses. $54 0 23456 :30e second parentheses. When multiplying polynomials, heses. each term of the first xl)es . F000002523330a+b(x+c(x+d))+f)+fxl)es . F000002523050ax+((bx+c)dx+e)fxfxl)es . F000002523330a(x+b(x+c(x+d)))xfxl)es . F000002523330axi(bxj+cxk(dxl+e))l)es . $1 05 (p+q)(x+y),px+qyxk(dxl+e))l)es . $5 14 (p+q)(x+y),px+qx+py+qy+e))l)es . To multxj+cyk+dzl)axymx), es . $14 0 23456 :20xj+cyk+dzl)axymx), es . F000002925330a+b(x+c)+dzl)axymx), es . F000002925330ax+bx(cx+d)l)axymx), es . "F000002925330(axi+bxj)c+d(exk+fxl)es . F000002925330ax(bx+c)+d(ex+f)+fxl)es . $14 0 23456 :20(bx+c)+d(ex+f)+fF000001923330axi(bxj+cx). ed ses, es . F000001923330(ax+by)cxx). ed ses, es . F000001923330(axi+bxj)cxk ed ses, es . $13 0 23456 :20xi+bxj)cxk ed ses, es . F000002924330axi(bxk+cyn) ed ses, es . F000005<24331axi(bx\j+k\+cxj+dx), es . F000002<25331(bn parentheses . $54 0 23456 :20side.m in parentheses . "To multiply terms in parentheses, es . each term must be multiplied ses, es . by the term outside. iplied ses, es . Remember, p(x+y)~=~px+py. ed ses, es . F001102523330ax(bx+c)+py. ed ses, es . 925551axjykbxiylponents. ally. F000002525551axibxjcxklponents. ally. $1 06 p(x+y),px+yxjcxklponents. ally. $4 16 p(x+y),px+pyjcxklponents. ally. "To multiply terms in parentheses, lly. %we multiply each term in parentheses . by the term outside.m i. ally. F000002523551(axy)bxyiplication. ally. F000002523551axy(bxyz)cyzcation. ally. $33 0 23456 :20y(bxyz)cyzcation. ally. Powers of the same variable are ally. multiplied by adding exponents. ally. F000003935551axi(bxj)exponents. ally. F000002xwy(b)d alphabetically. F000002523551x(ay)bv)d alphabetically. $43 0 23456 :20ay)bv)d alphabetically. Variables are multiplied phabetically. by using exponents plied phabetically. !to show repeated multiplication. ally. F001002523001ax(bx)ltiplication$44 0 23456 :20(bxj-(cxi+dxi))). s !Products of terms are simplified s "by multiplying the coefficients. s 'Variables are arranged alphabetically. F001102523551ay(bx)ged alphabetically. F001102523551(ay)bxzed alphabetically. F000002523551azxi)x+ey)s, s We normally simplify inside ey)s, s !the innermost parentheses first. s F000002923531ax-(b-(cx+dx))irst. s F000002923531a+(bx-(c+dx)-e)rst. s F000001923531ax-(by+(cx-dy+ex)). s F000002923531a-(bxj-(cxi+dxi))). s subtract each term heses, s by changing its sign. term heses, s F000001923331ax-(bx+cy)erm heses, s F000001923331ax-(by+cz)-(dx+ey)s, s F001001923330(ax+b)-(c+dx)x+ey)s, s F000001923330axi-(bxj+cxi)x+ey)s, s $34 0 23456 :20i-(bxj+cs). s F000009Z23330axi+bxj+cxkxi parts). s F000005Z23330axy+byz+cxyxi parts). s F000007Z29330axi+bxy+cyi+dxyarts). s F000005Z23330ax+bxi+cx+d+exiarts). s $44 0 23456 ;20+bxi+cx+d+exiarts). s "To subtract terms in parentheses, s we musty an expression eses. of the form a-b by a+b, ession eses. the middle term is always 0. n eses. F000002925500(x-a)(x+a)ys 0. n eses. F000002925500(ax+b)(ax-b) 0. n eses. F000002925500(ax+by)(ax-by). n eses. F000002925500(axi-byj)(axi+byj)eses. $44 0 12233 :30xi-byj)(axi+byj)eses. Remember to multiply each term eses. &in the first parentheses by each term in the second parentheses. each term F000001523331(x[2]+ax+b)(x+d)ach term F000001523330(x+by)(cx+y+e)d)ach term F000001of the squares of xlt s #a and b is factored as (a-b)(a+b). t s F000002522550xi-\aa as (a-b)(a+b). t s F001102522001xi-yia as (a-b)(a+b). t s F000006913000\aa\-x\2i (a-b)(a+b). t s F000002922000\aa\xi-\bb(a-b)(a+b). t s F000002913001\aa\x\2i\-\bb\y\2j Complicated expressions must be izlt s "simplified before being factored. lt s !F000004925550ax(by+cz)+dy(exi+fx) lt s #F000002629550a(bxi+cyj)+d(axi+\ab\)t s #F000004929550\ea\xi+ax(bxj+cxk)+axlt s $35 2 23456 :71a\xi+ax(bxj+cxk)+axlt s !The difference y+\ad\zion. t s F000002929550axiyj+bxkyl+cxmynion. t s $13 2 23456 :61iyj+bxkyl+cxmynion. t s F000002929550\ab\xiyj+\ac\xkzlion. t s !F000002929550\ab\xi+\ac\xj+\ad\xk. t s #F000004826550\bc\xiyj+bxyk+\ab\yizlt s $33 2 23456 :61c\xiyj+bxyk+\ab\yizlt s 525550\ad\xi+\ac\x\i+jmallest s F000002929550\ab\xiyj+\ac\xkylallest s $33 2 23456 :61b\xiyj+\ac\xkylallest s Common factors must be common allest s #to all the terms in an expression. t s F000004A29550axi+bxj+cxkxpression. t s F000002623550\ab\x+\ac\ion r, $44 2 23456 :61ab\y+\ac\xypression r, 'The common factor among several powers %of the same variable is the smallest s power of that variable. the smallest s F000004925550\ab\xi+\ac\xhe smallest s F000004D39550axi+bxjyac\xhe smallest s F000002rm of an expression r, is negative, we remove expression r, a negative common factor. pression r, F011002929000-\ab\x+byor. pression r, F000002629050-\ab\xy+\ac\xpression r, F000004<29050-axy+\ab\yz\xpression r, F000002829050-\ab\y+\ac\xypress!the term 1 remains. This can be tor, "checked easily by multiplication. or, F000002922050axy+axultiplication. or, F000002922050\ab\x+altiplication. or, F000002922050ax+\ab\wxiplication. or, $44 2 23456 :61+\ab\wxiplication. or, #If the first te be checked rms by multiplying out the answer. ked rms F000002829000\ab\x+axy answer. ked rms F001004929050axy+\ab\y answer. ked rms F000002829000\ac\xy+\ab\yzwer. ked rms $43 2 23456 :61c\xy+\ab\yzwer. ked rms &If an entire term is a common factor, an be factored if all its terms contain a common factor. ll its terms Remember, px+py = p(x+y). l its terms F001102929050ax+ay p(x+y). l its terms F000002629050\ab\x+\ac\y). l its terms $33 2 23456 :61b\x+\ac\y). l its terms #Factoring should alwaysd wers. $14 2 33445 :30iyj)kxponents. ed wers. F000002623550(x+a)ikxponents. ed wers. F000002523551(axyz)ixponents. ed wers. F000002925550(axi+b)[2]nents. ed wers. F000002525550(axiyj)k2]nents. ed wers. $42 2 23456 :61xiyj)k2]nents. ed wers. 'A sum ciyj)ke separate powers. $33 2 33445 :30iyj)ke separate powers. !A power of a power is simplified wers. by multiplying the exponents. ed wers. F000002535000(xi)j exponents. ed wers. F000002525000(axi)jexponents. ed wers. F000002525000(xiyj)kxponents. eF000002937000(xy)ithe separate powers. F000002525000(ax)ithe separate powers. F000002525000(axy)ihe separate powers. $13 1 33445 :30xy)ihe separate powers. F000002534000(xi)jihe separate powers. F000002525000(axi)jhe separate powers. F000002925001(x-(x[2]+c)cy)rm F000002937000(xy)i(x+b)-(x[2]+c)cy)rm F000002525000(ax)i(x+b)-(x[2]+c)cy)rm F000002525000(axy)ix+b)-(x[2]+c)cy)rm $33 1 33445 :30xy)ix+b)-(x[2]+c)cy)rm A power of a product b)-(x[2]+c)cy)rm 'is the product of the separate powers. 523330(x[2]+b)(x[2]+cx+d) term F000001523330(ax+by+c)(dx+e)x+d) term $13 0 11223 :30x+by+c)(dx+e)x+d) term F000002922051(ax+b)i-a(x+b)ix+d) term #F000001323331(x[2]+axy+by[2])(x+cy)rm F000002523331(x+a)(x+b)-(x[2]+c)cy)rm $13 0 33445 :30+a)(x+b)b). t s $33 2 23456 :70a\x\2i\-\bb\y\2jb). t s $Any expression common to every term s #may be removed as a common factor. s F000002923500ax(x+b)+c(x+b)factor. s F000002923500ax(by+cz)+dy(by+cz)r. s F000002923500(ax+b)c-(ax+b)dycz)r. s $32 2 23456 :71x+b)c-(ax+b)dycz)r. s !Remember to check your factoring . s &by multiplying the resulting factors. F000001622000xi+\a+b\x+\abng factors. F000002822000xi+\a+b\xy+\ab\yiactors. $42 2 23456 :71+\a+b\xy+\ab\yiactors. 'If the middle coefficieac\}\}rs"Only factors of the numerator and }\}rsdenominator can be cancelled. and }\}rsP000002925050{ax+b/cx+d}lled. and }\}rs!P000002625550{\ab\xi/\ab\xj+\ac\} }\}rs%P000002725050{\ab\xi+\ac\/\de\x+\ce\}rs"P000002622000{axi-\abb\/cxi-\cdd\}e\}rs&P000002ncellation. o check }rs292550{\ab\yi+\ac\y/bxy+ay}o check }rs!292255{\aa\xi-\bb\yi/\bc\y+\ac\x}k }rs%172250{xi+\a+b\x+\ab\/xi+\a+c\x+\ac\}rs292255{\ab\x+\ac\/\ad\x+\ae\}\x+\ac\}rs#252250{dxi+\a+bd\x+\abd\/cxi-\aac\}\}rs$35 2 234450:50d\x+\abd\/cxi-\aP000002925050{axi+bxj/cx}\xyj/axy}ctors%P000002924050{\ab\x\2i\+\ac\xi+ax/ax}rs$46 2 234451:51ab\x\2i\+\ac\xi+ax/ax}rs$We always factor both numerator and }rs#denominator, if possible, to check }rsfor possible cancellation. o check }rs P00000xxxxxx0cazl}\xkyl}factorsP000002925001{axibyj/cykxl}xkyl}factors$34 2 234450:50xibyj/cykxl}xkyl}factorsWe factor before cancelling. l}factorsOnly factors can be cancelled. }factorsP000002925050{\ab\xi+\ac\x/ax} }factors"P000002925050{\ab\xiy+\ac\xyj/axy}ctors926000{x\i+j\/xi}. ing common $34 2 234450:50\i+j\/xi}. ing common 'We cancel algebraic and numeric factors whenever possible. and numeric factorsP000002525000{\ab\x\i+j\/axi}ic factors P000002525500{\ab\xiyj/\cd\xkyl}factorsP000002525500{axiyj/bxkng. de. 153350\ab\xy+\ac\y+\bd\x+\cdusing. de. 153350\ab\xi+\ac\x[2]+\bd\x+\cdng. de. $41 2 234450:50c\x[2]+\bd\x+\cdng. de. &We divide powers by cancelling common factors, which can be done ing common by subtracting exponents. ing common P000002\2i\+\a+b\xiyj+by\2jde. F000002522500axi+\ac+b\xy+\bc\yi\2jde. $43 2 234561:71i+\ac+b\xy+\bc\yi\2jde. Expressions with four terms c\yi\2jde. can sometimes be factored s c\yi\2jde. #by the methods we have been using. de. F000001533500s we have been usi$44 2 23456 :71i+\a+b+7c\x+\abcorable. More complicated expressions bcorable. can also be factored essions bcorable. "by the method we have been using. ble. F000002522500\ab\xi+\ac+b\x+cing. ble. %F000002522500\ace\xi+\ad+(bc)e\x+\bde. #F000002525500axerms, expanded !and there are no common factors, nded 'then the expression is not factorable. F000001422500xi+\a+b-7\x+\abactorable. F000001722000xi+\a+b-3\x+\abactorable. F000003922500xi+\a+b\x+\ababactorable. F000001422500cxi+\a+b+7c\x+\abcorable. 624500x[2]yi+\a+b\xyi+\ab\yi n !F000002422500cxyi+\a+bc\xy+\abc\xyi n $74 2 23456 :71yi+\a+bc\xy+\abc\xyi n &If the middle term cannot be expanded into two terms whose product expanded is the same as the product t expanded of the first and last tobtain F000001924500x\2i\+\a+b\xi+\ab obtain F000002922501xi+\a+b\xy+\ab\yi obtain $33 2 23456 :71+\a+b\xy+\ab\yi obtain $Always remove common factors first, n "before expanding the middle term. , n F000002622500cxi+\a+1c\x+\acterm. , n #F000001es factor a minus sign &as a common factor in order to obtain a parenthesized common factor. obtain F000003922000xi+\a-1\x-aactor. obtain F000001922000xi-\a+1\x+aactor. obtain $13 2 23456 :71-\a+1\x+aactor. obtain F000006922500xi+\a+b\x+\abtor. we must expand the middle term tive, , $into two terms with opposite signs. , F000001422050xi+bx-\a+basite signs. , F000003822050xi+bx-\a+basite signs. , F000002622050xi+bxy-\a+ba\yi signs. , $42 2 23456 :71+bxy-\a+ba\yi signs. , &We must sometimnt is negative, %we must expand the middle term using , negative coefficients. le term using , F000001722:00xi+\a+b\x+\abterm using , F000001822:00xi+\a+b\xy+\ab\yi using , $43 2 23456 :71+\a+b\xy+\ab\yi using , %If the last coefficient is negative, , 622050{axi+\fb\x+c/dxi+\ec\x+f}s $52 223348000{axi+\fb\x+c/dxi+\ec\x+f}s We solve an equation by finding c\x+f}s simpler equations with the same c\x+f}s$solution. One way is to subtract a f}s'number from each side of the equation. F0292200/01x+a=b side of the equation. F0292200101b=a+x side of the equation. $34 22334800=a+x side of the equation. &We can also add a number to each side of an equation to simplify it. h side F0292200101x-a=bo simplify it. h side F0292200101b=-a+x simplify it. h side xINSTRBOO vide . )N0292550100a(B+c)+Ax=Bx+a(A+c)xvide . )N0292555100aB(cx+d)=a+b(Cx+d))xvide . )nyjncyc.ycycnmc..nbx+c)=d(Bx+C) divide . )L0292255100ax+B(cx+M+Ax)=cBx+divide . ) $16 12234:11x+B(cx+M+Ax)=cBx+divide . )N0292255100\ab\Ax=\ac\AB+\ad\Bxvide . )N0292255100Ax+Bi=Ai+BxAB+\ad\Bxvide . )N0292255100ACx+bA=aA+cAx+\ad\Bxvide . )N0292555100aAi+bx=cBx+aAi\ad\Bx!variable, we remove the variable e, . )$as a common factor. We then divide . )by the other factors. e then divide . )L0292255100Ax+B=Cx+M. e then divide . )L0292255100Ax+b=A+cx. e then divide . )L0292255100a(Ax+b)=C(ax+c)en divide . )L0292255100a+A(mbers. able, . )L0292205100ax+B=\a+c\x+Mbers. able, . )L0292255100a(Bx+c)=A+b+Mbers. able, . )L0292255100A+a=B+bAx+b+Mbers. able, . )L0292255100B+C=a+B(bx+c)bers. able, . ) $55 22334?11+C=a+B(bx+c)bers. able, . ) To combine terms containing the le, . )0100a(b+x)=ax+\ab+(39)+c\. on. ) L1352250100\ab+(57)+c\+bx=b(x+a). on. ) $45 22334?11ab+(57)+c\+bx=b(x+a). on. )$To solve for a particular variable, . )we treat all other variables iable, . )just as if they were numbers. able, . )L0292255100Ax+B=Cere nuution. )H7252205/01ax=\c+a\x+\bd+1e solution. ) $34 22233?11x=\c+a\x+\bd+1e solution. )"Some equations have no solutions. on. )Others have many solutions. ions. on. )L1252550100\a/2\x=\4b+c\+\a/2\xs. on. )L1292250100ax+b-ax=bb+c\+\a/2\xs. on. ) L124225\b/2\)i=(ax+\2c\)i\xi+f)L0252555100a(b+c(dx+e))=fx+g2c\)i\xi+f) $51 11111411(b+c(dx+e))=fx+g2c\)i\xi+f) We can estimate the solution by i\xi+f)%graphing both sides of the equation. f)#We can also see if later equations . f)&have approximately the same solH0392250111b(ax+c)=e+\ab+d\xone step. !H0392250111b+\ae+f+g\x=a(d+ex)+fxtep. H0292250111a(b+cx)=d+c(\a+f\x+g)xtep. $14 22334@11(b+cx)=d+c(\a+f\x+g)xtep. %L0252250100a(bxi+cx)=d+\ac+e\x+\ab\xi 'L0252255100a(\db\xi+c(x+e))=b(\da\xi+f)!L0262255100(ax+ the variable. H0292255111a+bx=\b+c\x+dthe variable. H0292205101x+b=d+cxc\x+dthe variable. $25 22334811+b=d+cxc\x+dthe variable. &We can divide and cancel in one step. H05?2255101ax=bnd cancel in one step. H05?2250111ax+b=c+\a+d\x in one step. 34810x+b=c+\a+1\xother side. ide'If a number times the variable appears #alone on one side of the equation, ars #we divide both sides by the number ars &and cancel to solve for the variable. H0292255101ax=bolve for the variable. H0292255101b=ax+cve fortaining #the variable. The idea is to move ing 'all terms with the variable to one side$ and other terms to the other side. ideF0392255101\a+1\x+b=ax+cother side. ideF0392250101b+ax=\a+1\x+cother side. ideF0292250101ax+b=c+\a+1\xother side. ide $54 223transposing a term. F0292255101a+x=bransposing a term. F0292255101b=x+aransposing a term. F0292255101x+a=b+cnsposing a term. F0292255101b+a=c+xnsposing a term. $53 22334810+a=c+xnsposing a term. 'We can also transpose terms conF0292200101-b=x-a simplify it. h side F0292200101-a+x=b simplify it. h side $54 22334810a+x=b simplify it. h side %As you have seen, we can move a term !to the other side of an equation erm $if we remember to change its sign. #This is called   System error.8۪M M ɡ M M 0 FڢצCOD.DATAڢצQUS.DATAڢצMSG.DATAڢצPRO.DATAڢצLES.DATAڢצNES.DATAצP_šT 0' ˡ  & &,(ۡX((Light your choice with arrows and pressצ$[RETURN], or type the first letter.) $% & (     תP ȡ_@ޢۚڡ(#šޢ#ɡ;ޢ''#$"'#(á"'#(ɡF\v%بǀɡȡ!" J&  P 4܊ۊڊ4 ܊ۊڊT:ǀ(@(Pǀš "(Ǡ #š$0 ئڡ ?8  ߪP  ( צ to  )ޡ ( ) ? RLP 8a88צcc 8c8צcaa8ױac #400 220-@{Η4- Ä .2Nb ڦתP ل ݍ2 $ݡš  ܍ءܡ Pۿoڡ[[[gi ܪPYN YR "צ Pٿ// -/ȡ /0-,ڪP0.2/4-á-á..-2@{Η42 2--á.- continue. Ä h  azȄɡٛٛ ( 2ߪP ުP2ܡ  ()צ ?  \[[[] ][] [Ä^^ ˶ ڡ^@ء @& as  & ؏š   ءPress [ESC] to terminate.Press [RETURN] toצتPR تPR @ٻػ" s"  QUIZZ IPUTM INIT PRINTERCREDISPLA ڢצDUS.DATAצ USTRT.CODEػ̃ʃ̃ʃ.DD00................תPʃܻʃ ۻ@@ ʃ ʃ @@@ڢ @#4:TSTRT#4:QUIZZHXR\:80 FڢצCOD.DATAڢצQUS.DATAڢצMSG.DATAڢצPRO.DATAڢצLES.DATAڢצNES.DATAڢצDUS.DATAצ USTRT.CODEػ̃ʃ̃ʃ.DD00................תPʃܻʃ ۻ@@ ʃ ʃ @@@  $'(ˡ &ġ |z hhhhhhhhI8HH`8DvL(n D \ t n0ztb8Rj  P (J& š !ޢ ޢޢ]ިP]צޢ0ޢޢݨ !6 zݢݢ ǖ٨K! 2ɡ%ܢ 0WXk# z REVISING CONTROL CODE SEQUENCESצFOR OTHER PRINTERצ"Up" means "begin superscript.""Down" means "end superscript."To revise a code sequence, typeצ(the correct sequence and press [RETURN]. ȡtצ P 0ɚ ܿ$צNo control code may exceed 255e ڪP-PצPVX- WWXV-Ȅ V-X will be using.(e.g. brand and model number.)C)P ۾("  ȡ%צDigits and spaces only, please.Q \  VII of the Instructor's manualצ!explains how to look up and enter!control codes for other printers.Are you prepared to enter then?צ Please type a 1-line descriptionצ'of the other printer you ء,#Saving printer description on disk. J٥CJ1:ǔ!`צ(You may select single or double spacing.צ((If in doubt, try double spacing first.)Print: ëצ&Chapterou describe your printerצ&correctly, they appear as superscriptsצwhen a test is transferredצto your printer.(In the student program, exponents appear as superscriptson the video screen.)   צ TSTRT.CODE4   5   <RFL^&^.~| that exponents are displayed'in square brackets on the video screen.'However, once you describe your printerצ&correctly, they appear as superscriptsצwhen a test is transferredצto your printer.(In the student program, exponents appear as superscriptson the video screen.)    צ$Please leave the test generator diskצin drive 1 with the door closed while the test generator program is running.צ!Note that exponents are displayed'in square brackets on the video screen.'However, once y,Brooks/Cole Publishing Company,צa division of Wadsworth, Inc.%Pascal Runtime System (C) 1979, 1980,צ%1983 and 1985 by Apple Computer, Inc.צ"Portions of this software (C) 1979צ by the University of California. retrieval"system except as an essential step'in its execution, or transcribed in anyצ#form or by any means -- electronic,#mechanical, photocopying, recordingצ!or otherwise -- without the prior$written permission of the publisherg .'Published by Brooks/Cole Publishing Co.Monterey, CA, 93940. (C) 1986 by Wadsworth, Inc.,Belmont, CA, 94002.All rights reserved.צNo part of this program may beצ!reproduced, stored in a,+,ȡ ++V6d .d  2  צAlgebra Mentor Test Generatorby John C. Miller.צ$Designed to accompany Algebra Mentor versions e צ through !0@ܢܢ ǔC٨J!2)ResetתP2)UpתP2)צDownP Apple Imagewriterת Epson printersת צ Other printer ȡ2ؤ)š 2ؤ) % تP+,,ȡIs this correct?  ء-צ: P2٤)PC٤)X pצThe other printer is currently:C)Is this correct? á)צPrinter selection aborted.ث Type of printer?   RX&2(^n correct sequence and press [RETURN].šC ~=~Pؿš , P`X|$ġfactorתP(ȡצevaluatePsimplifyתPצPlease צ the following expressioná$. צ צ ײ W.P.'ɡ ۤ.'ۤ.ƀ'ƀ'uT"")~[)~]ȡ.á  צ צ F !צ when az,,ȡXa   Ÿ    az̀ʀȡašW PZق̀ʀȡ^ۤšC.ۤP. Gx \ܨʁ́ʁ́ʁۂ̃{ʁʃ{ȡj ƃ,ƁƃUʁ)P [ƃ,ƃ,ʁ[[ƃ,צ = ƃ, ʁ ɡ ʁ́ʁ́ʁ́v    Ÿ Ÿ  Ÿ Ÿ  š nr ٨??ġ=$a؂nRn#a)-a-bתP)-a+bתP)a-bתP)צa+bP){a/b}תP)צa[b]P)צabP)צ(a)bP)aPȡPȡ4    @{Η             ȡ & ݤ ݤ ݤ ȡUݤnؤšUݤUݤ ݤ ݤUݤ Uݤ             TEXTPR   ȡ ڲڲ1ȡ$ݤݤڊń;ȡ. áݤݤing here:Bצ Pause desired after each screen?á V ܡ%Send output to: ë)[P)]P)צPצCONSOLE:PPRINTER:תP۫-צ TEST.8&צHow many copiesd צ(Please check that your printer is ready.饃)Please type a 3-line heading.'Press [RETURN] at the end of each line.צ(Blank lines are acceptable.)צBegin typڡ )~[)~]ړצ ۓۡ     "]T X pצThe other printer is currently:C)Is this correct? ?̀ʀȡ.ؤ)Pצ TEST.TEXT̀ʀȡ)̀ʀȡ.ؤ) צ צ  PšǰášڡDZ,,ȡIs this correct?  ء-צ: P2٤)PC٤)X pצThe other printer is currently:C)Is this correct? #ڶ %ܨ ́̂ʁʂȡ ʁƂ ʁʁ́ʁʁƁźʁ́ʁ %́Ɓ%% % % % %ʁʁʁƁƁ Ɓצ . PƁʁ!#ʁƂ Ɓʁ́&   ^' (ܨ'́̂ʁʂȡ ʁƁʁ Ɓx́ʁƁʁ́Ɓ(((((( ( ( (ƁƁƁ . nueDouble spaced Single spacedMonitor screen printerצ Yes No  ȡ    áצPrepare a test.צRedisplay the last test.#List lessons having test questiror.:.2ؤ):Cؤ)ȡ Cؤ)پ &Nצ SPACING: צdouble צsingle:צCURRENTLY SELECTED PRINTER:)6ܹצConti`< 9G 7ع- 9 áXZ'd6%Hold down the [CONTROL] or [CTRL] keyצand press [RESET].N: צ System Er ݥ&š -צCONTROL CODES:ȡ 68á87+ *á )؍ ڥ)퍡!ܡ, إ]P㢁H1 7(á5㣁ߪ'㢁㣁á!!H 4/ʁ3ʁ3á3Ɓ4ܤݥƂ`4ؕ..Ƃ`צSGNUM ݥƂ`SIMPMׯ ݥƂ`צSOLVEڤ  Ŷ3ń13á,3š0v4 /3ȡ<3ڕ 4٤4٤4ڤ4ڤؚCV3تP--0---,, -0,,0V @5 * ] imum difficulty levelɡ.ئMaximum difficulty level$2צTotal number of problems=+2ȡ3ȡGť&33ڗdifficulty leveláL .Is this acceptable? ás ranging from  to  .צ(Is this range of difficulties too large?áfצMin33! 8 1 ȡ9š'٥.š إš,ɡThe lessons in this interval#which have test questions availableá all have 3 צ# lessons having problems available."Shall we include all such lessons?á)ȡ*Y)This lesson desired ? á4ؤٚ3á 9 N0Ŷɍ ؓAmong lessons  through  ءY, and indifficulty level  š through  ,צ there areon #^+š?&צ Continue? 쓄 N%There are no test questions availableצfor the lessons selected.Z,ɡ.ȡٲtle S .ܡ  ۡ& S צ ڡ]S S  )1 50*צStart at lesson #ڡ&ئEnd at lessPƁƁצ*Please solve the following equation for @.PƁצ@Ɓʁ́ ƁƁ  צƁ ʁƁƁʁ́ *&ݨK퓡١` # ܡצMax q ۡDiffڡצProg צ Tions.Describe your printer.צQuit using the test generator.!צSelect/reject lessons {%Y<å2   *?U ښɡ@4;ڡ ٞ ܂ ܂ڡ ڡ;߂ V ڏ;ō ۞ۂ! B 2 Fצ"To run another program, insert theצappropriate disk.:\andom subtraction 2ion 4rs) 3UZ2%Random subtraction 3ion 4rs) 3?D& Random subtraction (no arrows) 1=69' Random subtraction (no arrows) 2*s( Random subtraction (no arrows) 3P)Adding and subtra xConsecutive subtraction 1rs) 3/^ Consecutive subtraction 2rs) 3Qv1X!Consecutive subtraction 3rs) 3+H7,"Consecutive subtraction 4rs) 3!#Random subtraction 1ion 4rs) 31$Rion 4yboardCRandom addition 2ion 4yboard FRandom addition 3ion 4yboardS+,Random addition (no arrows) 11WP Random addition (no arrows) 22R,!Random addition (no arrows) 33andom arrows 33ors keyboard HConsecutive addition 1yboardlConsecutive addition 2yboardmConsecutive addition 3yboardu=Consecutive addition 4yboard8 Random addition 1}6Introduction to the keyboardm?Practice problemshe keyboard +Consecutive arrowss keyboard;Random arrows 11ors keyboard L`Random arrows 22ors keyboardCILRd, stored in a retrieval"system except as an essential step'in its execution, or transcribed in anyBrooks/Cole Publishing Co. 555 AbregoMonterey, CA, 93940, Student diskLicensed for use only at%Please respect the license agreement. Published by BrnP6 V >DPژZ   O ?"¨n6 r P  ^  All rights reserved.No part of this program may be!reproduce-٪PتP)VP)-P)P#A$ A%A!ǀAH@)֩ PJ %c%Z#2%Z!#צ %r%T10%l1$%f$%l0%A@.צ%@%S#צ%T%H@祃C Q*zV饂B06< dp-n>D@B\ . f  t& BRrNL!n!2T <fTp2z D  A.)VHȡ ٥ۤ) (AVڪP-٪PتP)VP)-P)P#A$ A%A!ǀAH@)֩ PJ %c%Z#2%Z!#צ %r%T10%l1$%f$%l0%A@.צ%@%S#צ%T%H@祃C Q*zV饂B0š..ȡ צ cL\ vإڤPٕPR$ š0 0  ۪P~ˡڿ././ġ .á.P...)VHȡ ٥ۤ) (AVڪPȡپ~á  *?تP,,ȡr,'--š-->---,ɡ 4.W,-,WP.?. -,-Ȃ-,~] ..ȡ<ۤP//ġھ~áDZšRj š  .ڪP٪P.))XʁwʁxġʁxWʁŵWʂȡXW) WWצ "( f ۤھ0 ڲō ھ $><١  ȡ ۤۚ,á%šˍ B צ Pǰ=تP=R* تP퓡X4=צ Pcting 1ectors 3x*Adding and subtracting 2ectors 3-<M+Adding and subtracting 3ectors 3ig, Adding and subtracting(no arr) 1D%c- Adding and subtracting(no arr) 28. Adding and subtracting(no arr) 3 ,,J/Consecutive multiplication 1ec 3A3Consecutive multiplication 2ec 3+g94Consecutive multiplication 3ec 357Consecutive multiplication 4ec 3%N 8Random multiplication 1ion 4ec 3Xs#9Rials 3terms 2onbG<UDistributive law 5als 3terms 2onb_IVDistributive law 6als 3terms 2onSZA monomial times a polynomial 1nUikcA monomial times a polynomial 2nUU7gA monomial times a polynomial 3ndding and subtracting terms 1onS$1Adding and subtracting terms 2onU'{k9Removing layers of parenthesesonSzW@Multiplying monomials 1terms 2onSHMultiplying monomials 2terms 2onSJ1GOMultiplying monomS}Removing parentheses 1ubtractionU&Removing parentheses 2ubtractionbI+ Distributive law 3es 2ubtractionbgG!Distributive law 4es 2ubtractionS#Subtracting similar termsractionU)@,A1of subtractionbcxkDistributive law 2of subtractionS4.Adding similar terms 1ubtractionS4xAdding similar terms 2ubtractionS1KfAdding similar terms 3ubtractionS0 Arranging termsterms 2ubtractionraph: height of falling object3GGraph: area of boxalling object3GGraph: population explosionject3b`-D5Commutativity of additiononject3b=< Non-commutativity of subtractionbc|Distributive law 2@ $Plotting linear functions 1 7c 33JPlotting linear functions 2 7c 358MPlotting linear functions 3 7c 3C"<Graph: rate times timeons 3 7c 33RkPlotting quadratic functions7c 3C0mGstancetion 7c 3SVerbal subst.: Volumeuation 7c 3U`=LVerbal subst.: Populationon 7c 32}Plotting on horizontal axis 7c 32Plotting on vertical axisis 7c 33Plotting in two dimensionss 7c 3ubstitution and evaluation 4c 3Su~Substitution and evaluation 5c 3U,Substitution and evaluation 6c 3UX32Substitution and evaluation 7c 3S(Verbal subst.: Perimeterion 7c 3S11FVerbal subst.: DiUa|{Order of operations 6tic 2 43c 3U{;Order of operations 7tic 2 43c 3Sin Substitution and evaluation 1c 3SH$Substitution and evaluation 2c 3SP~0Substitution and evaluation 3c 3S@Sentstic 2 43c 3SD,VOrder of operations 1tic 2 43c 3S45^Order of operations 2tic 2 43c 3S fOrder of operations 3tic 2 43c 3SQ8;kOrder of operations 4tic 2 43c 3SFsOrder of operations 5tic 2 43c 3onsecutive exponentiation 43c 3NRRandom exponentiation 1ion 43c 30LJSRandom exponentiation 2ion 43c 3 TSigned number arithmetic 1 43c 3USigned number arithmetic 2 43c 3#:?How to type expon1GRandom division 2ion 4tors) 3c 3cHRandom division 3ion 4tors) 3c 3 ENIConsecutive exponentiation 13c 3QOConsecutive exponentiation 23c 3PConsecutive exponentiation 33c 3QQCion 1tors) 3c 3#*pDivision by zerosion 1tors) 3c 32#?kCConsecutive division 2tors) 3c 3ItDConsecutive division 3tors) 3c 3k|EConsecutive division 4tors) 3c 3@FRandom division 1ion 4tors) 3c 3andom multiplication 2ion 4ec 3:Random multiplication 3ion 4ec 3s"-;Multiplication (no arrows) 11c 3HCa<Multiplication (no arrows) 22c 3aNL=Multiplication (no arrows) 33c 3 4->Consecutive divisU-C6lA monomial times a polynomial 4nbl~qMultiplying polynomials 1mial2onb,o4rMultiplying polynomials 2mial2onS!-[wMultiplying polynomials 3mial2onS^7Multiplying polynomials 4mial2onSOMultiplying a-b by a+bs 4mial2onUnMultiplying polynomials 5mial2onWDMMultiplying polynomials 6mial2onSLPower of product 1mials 6mial2onS(0Power of product 2mials 6mial2onS"f5Power of power 1 $TYPE $ SCREENCOLOR=(none,white,black,reverse,radar, 3black1,green,violet,white1,black2,orange,blue,white2); & &FONT=PACKED ARRAY[0..127,0..7] OF 0..255; & $VAR &FONTPTR:^FONT; $ $PROCEDURE INITTURTLE; $PROCEDURE MOVETO(X,Y: INTEGER); $PROCE)D  $ <$ CHAINSTUSHORTGRASHORTGRA FRACC GRAFA GRAFA STRAP EXMAK ( #nts 3ns 3ns 5ssraphing and solving.ons 4ns 5ss&| Equations with many/no solutions Literal coefficients 1ns 1ns 5ss)Literal coefficients 2ns 2ns 5ss4%#Literal coefficients 3ns 3ns 5ss74%#Literal coefficie{b Solving by transposing constants8|kSolving by transposingns 4ns 5ss4qbs Solving by dividing by constantsFSU|Cancelling when dividing 6ns 5ss}Complicated linear equationss 1sUGc fractions 3ssSW=BReducing algebraic fractions 4ssSV LReducing algebraic fractions 5ssIntroduction to equationsons 5ssyQTSolving linear equations 1ns 5ssO2[Solving linear equations 2ns 5sseducing numerical fractions 1ssd9}Reducing numerical fractions 2ss*6+Reducing numerical fractions 3ssS>Cu/Reducing algebraic fractions 1ssS%pM(4Reducing algebraic fractions 2ssS>;Reducing algebraiS>Trinomial factoring 6ctoringressUFcTrinomial factoring 7ctoringressWwB Trinomial factoring 8ctoringressWd(Factoring four terms7ctoringress#How to type fractionsctoringressgCZRl factoringressSSTrinomial factoring 1ctoringressSchP*Trinomial factoring 2ctoringressS>UTrinomial factoring 3ctoringressSO/Trinomial factoring 4ctoringressS N Trinomial factoring 5ctoringressomplicated common factorsermsnsWJ{More complicated common factorssSSM:Factoring difference of squaressKrKParenthesized common factors 1ssSVAParenthesized common factors 2ss,AIntro to trinomiaSGM?More common factorsd expressionsS8nFactoring an entire termressionsSbpNegative common factorspressionsS,:MCommon factors with powersssionsSHCommon factors with more termsnsUhrC2mials 6mial2onSPower of power 2 2mials 6mial2onUM`E3Exponent review2 2mials 6mial2onDg9Introduction to factoringmial2on&d Recognizing factored expressionsSyX%Common factorsctored expressionsDURE PENCOLOR(PENMODE: SCREENCOLOR); $PROCEDURE TEXTMODE; $PROCEDURE GRAFMODE; $PROCEDURE FILLSCREEN(FILLCOLOR: SCREENCOLOR); $PROCEDURE VIEWPORT(LEFT,RIGHT,BOTTOM,TOP: INTEGER); $FUNCTION TURTLEX: INTEGER; $FUNCTION TURTLEY: INTEGER; $FUNCTION SCREENBIT(X,Y: INTEGER): BOOLEAN; $PROCEDURE DRAWBLOCK(VAR SOURCE; ROWSIZE,XSKIP,YSKIP,WIDTH,HEIGHT, 8XSCREEN,YSCREEN,MODE: INTEGER); $PROCEDURE WCHAR(CH: CHAR); ` 8`*UH)JJh & & f)# " `' & 8 ! 0%ee8` !  e e8"#088$ % 0%ee8`$ %  e e8&'08e*e+) [B  ""##8&$iT8&UU ! U"# UT`+%$Y)!p JhhhhhhhhhhH8 )%HHH`5>hhh)hh h h h hhhhhhhhhhhhHH J "  ` ` `SN-(' . hhhhhhHH `  [HH8H8 hhhL.+ rhh heheheheHHLh< L)ˢ   â LE % %  )  `8`&e epɀj f f&e e pɀjff %) % )`% L=`0(%$ $ @' &    0&!"   #eNEDh0h1hhhhh.h/h,h-h*h+h(h)(ȱ(*ȱ*,ȱ,.ȱ. HH1H0H(ȹ(*ȹ*,ȹ,.ȹ.`   ""##  )`%)8`)     e e  `(J 8 e  ` Z Z< $ %$PQ $  ߩ $ Li`t^cY}z I L`#JI`'  I` I0ݩ(0/,",i8i#Hiihifi`i,i,3iPII4ifH8H hIiH h hL8Iif E J j 8TEM.CHARSETx @4` - G`` 8`*UH)JJh & & f)4#i JL` T$Q%P)QتP+,+,ȡ+ ++V 0  آآآǿآآǿآآ@ ǻٚ SYSTEM.CHARSETáSYSl    ڪP."ˡ[̄$ʄ$N.ʄ$M ń.ʄ$M  ʄ$̄$.ʄ$M .ʄ$M Y@'    4 ǯ?Ǭ?ǰ?Ǯ?ǩ? áǫ?Ǭ?0 ٢ؚ ڢؚڢٚ ۚܢښܢٚܢؚɡšܢɡܢǿšܢǿɡܢɡܢQ%P)Q I L`#JI`'  I` I0ݩ(0/,",i8i#Hiihifi`i,i,3iPII4ifH8H hIiH $PROCEDURE WSTRING(S: STRING); $PROCEDURE CHARTYPE(MODE: INTEGER); "IMPLEMENTATION X E )4#i JL` T$Q%P)Q I L`#JI`'  I` I0ݩ(0/,",i8i#Hiihifi`i,i,3iPII4ifH8H hIiH *)fjfjfj+*fjfjfj8 8)eeL )` (J(F ((Lee L  )L6I1L6)QL6        zjZ QH?\H ` h  (j` , ~  ( FILLCOLOp:t1VIEWPORT4P4LEFT f4|4f4RIGHT 4|4BOTTOM 4TOP TURTLEX 4 XfRL $&~ ́VʁZ  ʁZ ́V́[ʁVʁ[ġ,ʁVPše[ʁZaʁVP)PƀʁVP]ʁZaʁVP)PƀʁVP,ʁVPʁV́VfáضP*š7 Pá" š 0 0 .á PPġ[]  ࣁ ࣁ ȡ) D)ƀʁVPʁVʁV́VʁZ  ʁZ ́V́[ʁVʁ[ġ,ʁVPše[ʁZaʁVP)PƀʁVP]ʁZaʁVP)PƀʁVP,ʁVPʁV́VfUaʁVPʁTʁÚUʁV́V́ŹV́[ʁVʁ[ġ~ƁʁVPšdʁVPƀʁVPƁʁVṔUƀʁVṔ\ʁUʁ\ȡ(ʁZaʁVP)ʁU-ʁÚUʁV́V́V́[ʁVʁ[ġ]ʁV(5ʁVPʁZaʁVṔÚT́V́WʁVȡʁV(ʁV /}  "$&(*,.02468:<>@BDFHJLNPRTVXZ\^`bdfhjlnprtvxz|~%ƀʁVP؂ ؕ U]Wɡ]WUVPUUUVPVPUWPWW ؏)צؕ' : ٪PUXWÚ šdUWUWȡ!PP) t TWTaVPTUWVU]W̤UUWVaVPTTWTXWÚ aVPTWTWTVP]WUUWVUWV]W PٕڲaP)PR XWÄZUUȡaPaP؂$xWWVPUUU]W#زɡ ײP ײPٲȡDٛ[á3؛]á,PٕPO; ڲaP)ٲPɡL ٿ ؚ&ȡYٛ'[]F{}@ٛ/9ٛ %& @Ja t,R Ǣ > ġ]؛ (pINTEGER;VAR INDENT,ENDEQUALS,BASSTR,PWRSTR, *PROBST:STRING;VAR FRACDAT:FRACDATA);   IMPLEMENTATION E ~ʷ SSD:*ʷvʡ\CCommand: E(dit, R(un, F(ile, C(omp, L(ink, X(ecute, A(ssem, ? [1.2]ʷ߾C  TYPE FRACLINE=-3..3; %FRACARRAY=ARRAY[FRACLINE] OF STRING; %FRACDATA=RECORD 'FRAC:FRACARRAY; 'FLINE0,FLINE1:FRACLINE %END; '  PROCEDURE BACKSUB(VAR EXPR:STRING);  PROCEDURE FRACEXPAND(INSTR:STRING;VAR FRACDAT:FRACDATA);  PROCEDURE FRACREADY(Q:TURTLEY 8 SCREENBI5 X 0505Y DRAWBLOCT96l5  SOURCE 555 LROWSIZE 55XSKIP 555YSKIP 65áضP*š7 Pá" š 0 0 .á PPġ[]  ࣁ ࣁ ȡ) D  USES {$U A.LIB}SHORTGRA; CONST "XC=6;YC=10;YCHMAT=8;CHSPACE=2;YRV=184;YMAX=191;XMAX=279; "INFINITY=1E36;ASCMAX=127;BKMAX=15;PLACEMAX=79;LEVELMAX=8;ECON0=64;ECONMAX=95; "VARMAX=7;ALPHAMN=97;ALPHAMX=122;ROWMAX=24;STEPMAX=4;COLMAX=2; "CTRLB=2;CTRLD=4;FRE MSGBOT(M:STRING;L:BYTE);  IMPLEMENTATION E DURE BAR(X0,Y0,X1,Y1:INTEGER;C:SCREENCOLOR);  PROCEDURE ADDCHAR(VAR S:STRING;A:BYTE); PROCEDURE GETSTR(VAR S:STRING;A:BYTE); PROCEDURE DISPLAY(A:BYTE;M:MODE;VAR X:INTEGER;Y:INTEGER); FUNCTION RAND(MIN,MAX:INTEGER):INTEGER; PROCEDURE GETMSG(VAR ST:STRING;M:MSGTYPE;MSGNUM:BYTE); PROCEDURE INFRAME(LEFT,RIGHT,TOP,BOT:INTEGER); PROCEDURE OUTFRAME; PROCEDURE CLEAR(X,Y:INTEGER;L:BYTE); PROCEDURE BOTTOM(VAR X,Y:INTEGER;L:BYTE); PROCEDURE CLRBOT(L:BYTE); PROCEDU-Y,CS:INTEGER;CLRKBD:BOOLEAN;M1,M2,MLAST:MODE); PROCEDURE BAR(X0,Y0,X1,Y1:INTEGER;C:SCREENCOLOR);  PROCEDURE ADDCHAR(VAR S:STRING;A:BYTE); PROCEDURE GETSTR(VAR S:STRING;A:BYTE); PROCEDURE DISPLAY(A:BYTE;M:MODE;VAR X:INTEGER;Y:INTEGER); FUNCTION RAND(MIN,valdata);  PROCEDURE PAUSE(CS:INTEGER); PROCEDURE WSTR(S:STRING;M:MODE;VAR XP,X:INTEGER;Y:INTEGER); PROCEDURE FLSHRD(ST:STRING;M1,M2:MODE;VAR XP,X:INTEGER;Y,CS:INTEGER); PROCEDURE GETCH(VAR CH:CHAR;ST:STRING;VAR CT,XP,X:INTEGER; "ZMAT:^ZARRAY; "TERMS:^TERMARRAY; "NVAR:VARPOS0; "SEED,XSCR,YSCR:INTEGER; "K128:BOOLEAN; "cvaldatPtr:^cvaldata; "SCP:^SCRNPAR; "FRAMES:^FRAMESET; "NUMV:NUMVAR; "FR:FRAME;  FUNCTION KEYPRESS:BOOLEAN;  PROCEDURE CLEARKBD;  PROCEDURE MSGINIT(cv:cPWRARRAY; $TCOEFF:REAL "END; "TERMNUM=0..MAXTERM; "TERMARRAY=ARRAY[TERMNUM] OF TERMRECORD; "SOURCE=(PROGINV,PROGVIS,USERVIS,DICTATE); "VETO=(NOVARS,NOOPS,NODEC,NONEG); "VETOSET=SET OF VETO;  VAR VARS,DIGITS:^ASCIISET; "LEV:LEVEL; "EXPL:^EXPLIST; $XB,YB,XBEG:ARRAY[DVCOL] OF INTEGER; $YBEG:INTEGER; $GRFR:FRAME; $AXASC,PXBL:PACKED ARRAY[1..2] OF BYTE; $BLX:ARRAY[1..2] OF REAL; "END; "MSGTYPE=(MSGDUM,ERR,TAB,SIMP,SOLV,MISC); "PWRARRAY=PACKED ARRAY[ALPHAVAR] OF BYTE; "TERMRECORD=RECORD $TPWR:ESET=ARRAY[LEVEL] OF FRAME; "VARPOS=1..VARMAX; "VARPOS0=0..VARMAX; "ZROW=ARRAY[VARPOS] OF REAL; "ROW=0..ROWMAX; "ZARRAY=ARRAY[ROW] OF ZROW; "ALPHAVAR=ALPHAMN..ALPHAMX; "NUMVAR=PACKED ARRAY[ALPHAVAR] OF VARPOS0; "DVCOL=1..COLMAX; "SCRNPAR=RECORD OF PLACE; $BNM,BA:PACKED ARRAY[BLOC] OF BLOC; $BK:PACKED ARRAY[PLACE] OF BLOC; $RBLOCK:BLOC; $RPLACE:PLACE; $BTOT:INTEGER "END; "STEP=1..STEPMAX; "EXPLIST=ARRAY[STEP] OF EXPR; "FRAME=PACKED ARRAY[1..2,0..2] OF INTEGER; "LEVEL=0..LEVELMAX; "FRAMY[ECONPLACE] OF REAL; "EVALUATOR=RECORD $EOPS:STRING; $ECONPTR:ECONPLACE; $ECON:ECONARRAY "END; "EXPR=PACKED RECORD $EV:EVALUATOR; $EXPRST:STRING; $XMP:ARRAY[PLACE] OF INTEGER; $YMP:PACKED ARRAY[0..3,BLOC] OF INTEGER; $BB:PACKED ARRAY[BLOC,0..1].false:(cvalstr:string); .true :(cvaldat:cvaldata) ,END; "SHFARRAY=ARRAY[0..SHFSIZE] OF INTEGER; "MODE=0..15; "BYTE=0..255; "ASCII=0..ASCMAX; "ASCIISET=SET OF ASCII; "BLOC=0..BKMAX; "PLACE=0..PLACEMAX; "ECONPLACE=ECON0..ECONMAX; "ECONARRAY=ARRAbit11,disk35,twoPlus,normalExit,myDemo,ssDisk,init, /stayGraf,dumpOk,silent,fast,slow:boolean; -cvblks:cvalBlks +END; "cvalCheat=RECORD CASE boolean OF --)vPv33; "UNDEFST='Undef.';FINISHED='Finished';  TYPE "intPtr=^integer; "cvalBlks=RECORD -codBlk,qusBlk,msgBlk,proBlk,nesBlk,lesBlk,dusBlk,ustBlk:integer +END; "cvaldata=PACKED RECORD -dummyLength:integer; -curVol,tstVol,dusVol,startVol:0..15; -bit12,INI=6;BEEP=7;BKSP=8;CRET=13;CTRLN=14;CTRLP=16;CTRLR=18; "UNDEF=21;LABS=22;RABS=23;CTRLX=24;LPAR=40;RPAR=41;ASTK=42;PLUS=43;MINUS=45; "DECPT=46;SLASH=47;ASC0=48;LTHAN=60;EQUAL=61;GTHAN=62;QMARK=63; "DRAW=10;ERASE=0;AXORS=6;LEAVE=12; "SHFSIZE=12;MAXTERM=MAX:INTEGER):INTEGER; PROCEDURE GETMSG(VAR ST:STRING;M:MSGTYPE;MSGNUM:BYTE); PROCEDURE INFRAME(LEFT,RIGHT,TOP,BOT:INTEGER); PROCEDURE OUTFRAME; PROCEDURE CLEAR(X,Y:INTEGER;L:BYTE); PROCEDURE BOTTOM(VAR X,Y:INTEGER;L:BYTE); PROCEDURE CLRBOT(L:BYTE); PROCEDU & ب     (ܪP/0/0ȡ Ǹؕ/ //*V H؏ ١ ڢ؏ڢٍDުP_8 ōھ@0 *ײ P, ߪPń -ÄB333 3+Í +-3  -Ä@ 2š2,Pá 0Pߡ0. -P`{pT  ؂ š ȡݤޕȡ' ݤݤܤܤۚ šg:X  v ɡ%؀צP  $   ? ȡ9 =  0ނ  ȡ 0ؑ ȡ0Pɡ1݂ɡצ.10)51=133100.35/Lb  =̲,4پáٕ# 2@{ΗۦUndef.תP0Páצ Pٿ٪PPRצ(P),ȡ 000۪P5.3/00-á..053 3000.á<CEDURE ERRORQUIT;  IMPLEMENTATION E APPROX(Z:REAL;SF:BYTE):REAL; PROCEDURE SHUFFLE(VAR SHF:SHFARRAY;MX:INTEGER);  FUNCTION BINOPLOC(VAR ST:STRING;LOC:BYTE):BOOLEAN;  PROCEDURE NUMSUB(SUB:STRING;VAR TAR:STRING;C0,C1:BYTE; ,TP,MSG:BOOLEAN;VAR AST,PAR:BOOLEAN); PROCEDURE APPROXSTR(Z:REAL;SF,SFMAX:BYTE;VAR AP:STRING);  FUNCTION SMALLDIF(Z1,Z2,ERR:REAL):BOOLEAN; FUNCTION VERYCLOSE(TAR,TRY:REAL;SF:BYTE;SFONLY:BOOLEAN):BOOLEAN;  PROCEDURE GETXVALS(RND:BOOLEAN;N:VARPOS;RX:ROW;ZMIN,ZMAX:INTEGER);  PROVAR ST:STRING;Z:REAL;SF:INTEGER);  FUNCTION APPROX(Z:REAL;SF:BYTE):REAL; PROCEDURE SHUFFLE(VAR SHF:SHFARRAY;MX:INTEGER);  FUNCTION BINOPLOC(VAR ST:STRING;LOC:BYTE):BOOLEAN;  PROCEDURE NUMSUB(SUB:STRING;VAR TAR:STRING;C0,C1:BYTE; ,TP,MSG:BOOLEAN;VAR AST  USES {$U :A.LIB}SHORTGRA,GRAFA;  PROCEDURE ADDCH(A:ASCII;VAR ST:STRING);  PROCEDURE APPEND(AST:STRING;VAR TAR:STRING);  PROCEDURE PUTPARS(VAR S:STRING); FUNCTION ASCSGN(A:ASCII):BOOLEAN;  FUNCTION REALST(ST:STRING;VAR C:BYTE):REAL; PROCEDURE STREAL(,.-X(@ @  6 ^D@! ǿ8r8&HpN,ؤښ4  ۧč4ڧ٧ ؏*٪P.-.-  T a s ۝ GGە6 Rپ؂צP ˡ. ́-ʁ- Pʁ-RTNǿǿDġ ؤښ/á 5á5 ˡ Ä 5Í ˡ SUWX>ǿەǿٕ " צ.Pؿ ٦תPġ á ٦Undef.תPáצFinishedP<  RL Pۡ5 Ý ˄ǐ6666á 7á 7777á7á7á7á72š 2Í22   ݕ PV Ʉ=/ @ 2 ڡ[[[2 [ 2 2ȡEܡݤ $ݤٕŕL Z צ System error.Hold [CTRL] and press [RESET]. ndPL$\  تP,,PT  @ \ ܡ@ ܡڡ݂P تPǜE  RCL<<ʷZ\\ʷxR` [E :E BODY3 WRITELINUNITPARTCOMPOPTINUMSTRIN\\ER.CODE1\.TEXTGb[h:mng>ʷB `^ph.CODE.CODEACKE.CODE1.TEXTG[:mƳgEʷ "PROCEDURE SETCHAIN(TYTLE:STRING); "PROCEDURE SETCVAL(VAL:STRING); "PROCEDURE GETCVAL(VAR VAL:STRING); "PROCEDURE SWAPON; "PROCEDURE SWAPOFF; "PROCEDURE SWAPGPON;  IMPLEMENTATION E 2L 8<=>F?A:CGJJLʷ"L(3zp & pz @@p@pōaAzkAkȡ{Aiɡ Aa [Apɡ Aa Cۡ5ڡ Aap3Ap Aa@@@@zšp@ AaAAA a@k@kȡ@ @@  @@ȡ`@AAaġ:Apɡ/B AaB@@ AaAi@@A AAAZȄA @@ׯ0P=á 0P=á0 |F6*$ az 3zp & pz @@p@pōaAzkAkȡ{Aiɡ Aa [Apɡ Aa Cۡ5ڡ Aap3Ap Aa@@@@zšp@ AaAAA a@k@kȡ@ @@  @@hjlnprtvxz|~\˂ צ 0P +á #A02\P ء  a3ٳ`a&a cŏcš  @ٿaÝɄaz  ɏ   ؿ ڶ ȡ ھ۹S     ɡ-   ؊ +}F]  "$&(*,.02468:<>@BDFHJLNPRTVXZ\^` ݪP00 11\ˡ1b1)á30200&11iɄ1a2102307030270*1(á0 701ȡ 1 \13 h   t |١MڀÄɄ  ń )@ Ä ޮ Ä؄  ܹڂ(ڕ!ڏچ*/ %"  :7+3צ P öÄ öń'Xؕ  צ-Pxؓ *ؓ ءš CL<<ʷZ\\ʷxR` [E :E BODY3 WRITELINUNITPARTCOMPOPTINUMSTRIN\\ER.CODE1\.TEXTGb[h:mng>ʷB `^ph.CODE.CODEACKE.CODE1.TEXTG[:mƳgEʷ "USES {$U :A.LIB}SHORTGRA,GRAFA,STRAP; "PROCEDURE EXMAKE(VAR INST:STRING;MINCO,MAXCO,MINEX,MAXEX, 'PRPOSNEG,PRADDSUB:INTEGER;VARCHG,SHUFL,OMIT0:BOOLEAN;VAR XSUB:INTEGER);  IMPLEMENTATION E <=>F?A:CGJJLʷ"L(*Í22   ݕ PV Ʉ=/ @ 2 ڡ[[[2 [ 2 تPDŽE  RDŽE ٪P E   (   >6Vz.@~CODE.CODEACKE.CODE1.TEXTG[:mƳgEʷing expression. 25t[2] - 64u[2] ------------- -64u - 40t 9. Please factor the following expression. u[2] - 9uv + 8v[2] 10. Please factor the following expression. -3s[2] - 21s + 3 + 30 5. Please solve the following equation for q. q - 9 = 5 6. Please simplify the following expression. 8r[2]s[2] ------- 9r[4]s[2] 7. Please factor the following expression. p[2] + 15p + 56 8. Please simplify the follow 1. Please factor the following expression. p[2] + 5p - 6 2. Please solve the following equation for r. 8 = 2 + r 3. Please solve the following equation for u. 7 = u + 6 4. Please factor the following expression. -12p[2] + 18ping expression. 25t[2] - 64u[2] ------------- -64u - 40t 9. Please factor the following expression. u[2] - 9uv + 8v[2] 10. Please factor the following expression. -3s[2] - 21s + 3 + 30 5. Please solve the following equation for q. q - 9 = 5 6. Please simplify the following expression. 8r[2]s[2] ------- 9r[4]s[2] 7. Please factor the following expression. p[2] + 15p + 56 8. Please simplify the follow 1. Please factor the following expression. p[2] + 5p - 6 2. Please solve the following equation for r. 8 = 2 + r 3. Please solve the following equation for u. 7 = u + 6 4. Please factor the following expression. -12p[2] + 18p$PROCEDURE WSTRING(S: STRING); $PROCEDURE CHARTYPE(MODE: INTEGER); "IMPLEMENTATION X E QH?\H ` h  (j` , ~  ( FILLCOLOp:t1VIEWPORT4P4LEFT f4|4f4RIGHT 4|4BOTTOM 4TOP TURTLEX 4 *)fjfjfj+*fjfjfj8 8)eeL )` (J(F ((Lee L  )L6I1L6)QL6        zjZ )# " `' & 8 ! 0%ee8` !  e e8"#088$ % 0%ee8`$ %  e e8&'08e*e+) [B  ""##8&$iT8&UU ! U"# UT`+%$Y)!p JhhhhhhhhhhH8 )%HHH`5>hhh)hh h h h hhhhhhhhhhhhHH J "  ` ` `SN-(' . hhhhhhHH `  [HH8H8 hhhL.+ rhh heheheheHHLh< L)ˢ   â LE % %  )  `8`&e epɀj f f&e e pɀjff %) % )`% L=`0(%$ $ @' &    0&!"   #eNEDh0h1hhhhh.h/h,h-h*h+h(h)(ȱ(*ȱ*,ȱ,.ȱ. HH1H0H(ȹ(*ȹ*,ȹ,.ȹ.`   ""##  )`%)8`)     e e  `(J 8 e  ` Z Z< $ %$PQ $  ߩ $ Li`t^cY}z I L`#JI`'  I` I0ݩ(0/,",i8i#Hiihifi`i,i,3iPII4ifH8H hIiH h hL8Iif E J j 8TEM.CHARSETx @4` - G`` 8`*UH)JJh & & f)4#i JL` T$Q%P)QتP+,+,ȡ+ ++V 0  آآآǿآآǿآآ@ ǻٚ SYSTEM.CHARSETáSYSl    ڪP."ˡ[̄$ʄ$N.ʄ$M ń.ʄ$M  ʄ$̄$.ʄ$M .ʄ$M Y@'    4 ǯ?Ǭ?ǰ?Ǯ?ǩ? áǫ?Ǭ?0 ٢ؚ ڢؚڢٚ ۚܢښܢٚܢؚɡšܢɡܢǿšܢǿɡܢɡܢQ%P)Q I L`#JI`'  I` I0ݩ(0/,",i8i#Hiihifi`i,i,3iPII4ifH8H hIiH TURTLEY 8 SCREENBI5 X 0505Y DRAWBLOCT96l5  SOURCE 555 LROWSIZE 55XSKIP 555YSKIP 65  TYPE FRACLINE=-3..3; %FRACARRAY=ARRAY[FRACLINE] OF STRING; %FRACDATA=RECORD 'FRAC:FRACARRAY; 'FLINE0,FLINE1:FRACLINE %END; '  PROCEDURE BACKSUB(VAR EXPR:STRING);  PROCEDURE FRACEXPAND(INSTR:STRING;VAR FRACDAT:FRACDATA);  PROCEDURE FRACREADY(Q:  USES {$U A.LIB}SHORTGRA; CONST "XC=6;YC=10;YCHMAT=8;CHSPACE=2;YRV=184;YMAX=191;XMAX=279; "INFINITY=1E36;ASCMAX=127;BKMAX=15;PLACEMAX=79;LEVELMAX=8;ECON0=64;ECONMAX=95; "VARMAX=7;ALPHAMN=97;ALPHAMX=122;ROWMAX=24;STEPMAX=4;COLMAX=2; "CTRLB=2;CTRLD=4;FáضP*š7 Pá" š 0 0 .á PPġ[]  ࣁ ࣁ ȡ) DXfRL $&~ ́VʁZ  ʁZ ́V́[ʁVʁ[ġ,ʁVPše[ʁZaʁVP)PƀʁVP]ʁZaʁVP)PƀʁVP,ʁVPʁV́VfáضP*š7 Pá" š 0 0 .á PPġ[]  ࣁ ࣁ ȡ) D)ƀʁVPʁVʁV́VʁZ  ʁZ ́V́[ʁVʁ[ġ,ʁVPše[ʁZaʁVP)PƀʁVP]ʁZaʁVP)PƀʁVP,ʁVPʁV́VfUaʁVPʁTʁÚUʁV́V́ŹV́[ʁVʁ[ġ~ƁʁVPšdʁVPƀʁVPƁʁVṔUƀʁVṔ\ʁUʁ\ȡ(ʁZaʁVP)ʁU-ʁÚUʁV́V́V́[ʁVʁ[ġ]ʁV(5ʁVPʁZaʁVṔÚT́V́WʁVȡʁV(ʁV /}  "$&(*,.02468:<>@BDFHJLNPRTVXZ\^`bdfhjlnprtvxz|~%ƀʁVP؂ ؕ U]Wɡ]WUVPUUUVPVPUWPWW ؏)צؕ' : ٪PUXWÚ šdUWUWȡ!PP) t TWTaVPTUWVU]W̤UUWVaVPTTWTXWÚ aVPTWTWTVP]WUUWVUWV]W PٕڲaP)PR XWÄZUUȡaPaP؂$xWWVPUUU]W#زɡ ײP ײPٲȡDٛ[á3؛]á,PٕPO; ڲaP)ٲPɡL ٿ ؚ&ȡYٛ'[]F{}@ٛ/9ٛ %& @Ja t,R Ǣ > ġ]؛ (pINTEGER;VAR INDENT,ENDEQUALS,BASSTR,PWRSTR, *PROBST:STRING;VAR FRACDAT:FRACDATA);   IMPLEMENTATION E ~ʷ SSD:*ʷvʡ\CCommand: E(dit, R(un, F(ile, C(omp, L(ink, X(ecute, A(ssem, ? [1.2]ʷ߾CINI=6;BEEP=7;BKSP=8;CRET=13;CTRLN=14;CTRLP=16;CTRLR=18; "UNDEF=21;LABS=22;RABS=23;CTRLX=24;LPAR=40;RPAR=41;ASTK=42;PLUS=43;MINUS=45; "DECPT=46;SLASH=47;ASC0=48;LTHAN=60;EQUAL=61;GTHAN=62;QMARK=63; "DRAW=10;ERASE=0;AXORS=6;LEAVE=12; "SHFSIZE=12;MAXTERM=33; "UNDEFST='Undef.';FINISHED='Finished';  TYPE "intPtr=^integer; "cvalBlks=RECORD -codBlk,qusBlk,msgBlk,proBlk,nesBlk,lesBlk,dusBlk,ustBlk:integer +END; "cvaldata=PACKED RECORD -dummyLength:integer; -curVol,tstVol,dusVol,startVol:0..15; -bit12, & ب     (ܪP/0/0ȡ Ǹؕ/ //*V H؏ ١ ڢ؏ڢٍDުP_MAX:INTEGER):INTEGER; PROCEDURE GETMSG(VAR ST:STRING;M:MSGTYPE;MSGNUM:BYTE); PROCEDURE INFRAME(LEFT,RIGHT,TOP,BOT:INTEGER); PROCEDURE OUTFRAME; PROCEDURE CLEAR(X,Y:INTEGER;L:BYTE); PROCEDURE BOTTOM(VAR X,Y:INTEGER;L:BYTE); PROCEDURE CLRBOT(L:BYTE); PROCEDURE MSGBOT(M:STRING;L:BYTE);  IMPLEMENTATION E DURE BAR(X0,Y0,X1,Y1:INTEGER;C:SCREENCOLOR);  PROCEDURE ADDCHAR(VAR S:STRING;A:BYTE); PROCEDURE GETSTR(VAR S:STRING;A:BYTE); PROCEDURE DISPLAY(A:BYTE;M:MODE;VAR X:INTEGER;Y:INTEGER); FUNCTION RAND(MIN,MAX:INTEGER):INTEGER; PROCEDURE GETMSG(VAR ST:STRING;M:MSGTYPE;MSGNUM:BYTE); PROCEDURE INFRAME(LEFT,RIGHT,TOP,BOT:INTEGER); PROCEDURE OUTFRAME; PROCEDURE CLEAR(X,Y:INTEGER;L:BYTE); PROCEDURE BOTTOM(VAR X,Y:INTEGER;L:BYTE); PROCEDURE CLRBOT(L:BYTE); PROCEDU-Y,CS:INTEGER;CLRKBD:BOOLEAN;M1,M2,MLAST:MODE); PROCEDURE BAR(X0,Y0,X1,Y1:INTEGER;C:SCREENCOLOR);  PROCEDURE ADDCHAR(VAR S:STRING;A:BYTE); PROCEDURE GETSTR(VAR S:STRING;A:BYTE); PROCEDURE DISPLAY(A:BYTE;M:MODE;VAR X:INTEGER;Y:INTEGER); FUNCTION RAND(MIN,valdata);  PROCEDURE PAUSE(CS:INTEGER); PROCEDURE WSTR(S:STRING;M:MODE;VAR XP,X:INTEGER;Y:INTEGER); PROCEDURE FLSHRD(ST:STRING;M1,M2:MODE;VAR XP,X:INTEGER;Y,CS:INTEGER); PROCEDURE GETCH(VAR CH:CHAR;ST:STRING;VAR CT,XP,X:INTEGER; "ZMAT:^ZARRAY; "TERMS:^TERMARRAY; "NVAR:VARPOS0; "SEED,XSCR,YSCR:INTEGER; "K128:BOOLEAN; "cvaldatPtr:^cvaldata; "SCP:^SCRNPAR; "FRAMES:^FRAMESET; "NUMV:NUMVAR; "FR:FRAME;  FUNCTION KEYPRESS:BOOLEAN;  PROCEDURE CLEARKBD;  PROCEDURE MSGINIT(cv:cPWRARRAY; $TCOEFF:REAL "END; "TERMNUM=0..MAXTERM; "TERMARRAY=ARRAY[TERMNUM] OF TERMRECORD; "SOURCE=(PROGINV,PROGVIS,USERVIS,DICTATE); "VETO=(NOVARS,NOOPS,NODEC,NONEG); "VETOSET=SET OF VETO;  VAR VARS,DIGITS:^ASCIISET; "LEV:LEVEL; "EXPL:^EXPLIST; $XB,YB,XBEG:ARRAY[DVCOL] OF INTEGER; $YBEG:INTEGER; $GRFR:FRAME; $AXASC,PXBL:PACKED ARRAY[1..2] OF BYTE; $BLX:ARRAY[1..2] OF REAL; "END; "MSGTYPE=(MSGDUM,ERR,TAB,SIMP,SOLV,MISC); "PWRARRAY=PACKED ARRAY[ALPHAVAR] OF BYTE; "TERMRECORD=RECORD $TPWR:ESET=ARRAY[LEVEL] OF FRAME; "VARPOS=1..VARMAX; "VARPOS0=0..VARMAX; "ZROW=ARRAY[VARPOS] OF REAL; "ROW=0..ROWMAX; "ZARRAY=ARRAY[ROW] OF ZROW; "ALPHAVAR=ALPHAMN..ALPHAMX; "NUMVAR=PACKED ARRAY[ALPHAVAR] OF VARPOS0; "DVCOL=1..COLMAX; "SCRNPAR=RECORD OF PLACE; $BNM,BA:PACKED ARRAY[BLOC] OF BLOC; $BK:PACKED ARRAY[PLACE] OF BLOC; $RBLOCK:BLOC; $RPLACE:PLACE; $BTOT:INTEGER "END; "STEP=1..STEPMAX; "EXPLIST=ARRAY[STEP] OF EXPR; "FRAME=PACKED ARRAY[1..2,0..2] OF INTEGER; "LEVEL=0..LEVELMAX; "FRAMY[ECONPLACE] OF REAL; "EVALUATOR=RECORD $EOPS:STRING; $ECONPTR:ECONPLACE; $ECON:ECONARRAY "END; "EXPR=PACKED RECORD $EV:EVALUATOR; $EXPRST:STRING; $XMP:ARRAY[PLACE] OF INTEGER; $YMP:PACKED ARRAY[0..3,BLOC] OF INTEGER; $BB:PACKED ARRAY[BLOC,0..1].false:(cvalstr:string); .true :(cvaldat:cvaldata) ,END; "SHFARRAY=ARRAY[0..SHFSIZE] OF INTEGER; "MODE=0..15; "BYTE=0..255; "ASCII=0..ASCMAX; "ASCIISET=SET OF ASCII; "BLOC=0..BKMAX; "PLACE=0..PLACEMAX; "ECONPLACE=ECON0..ECONMAX; "ECONARRAY=ARRAbit11,disk35,twoPlus,normalExit,myDemo,ssDisk,init, /stayGraf,dumpOk,silent,fast,slow:boolean; -cvblks:cvalBlks +END; "cvalCheat=RECORD CASE boolean OF --)vPv RL Pۡ5 Ý ˄ǐ6666á 7á 7777á7á7á7á7/á 5á5 ˡ Ä 5Í ˡ SUWX>ǿەǿٕ " צ.Pؿ ٦תPġ á ٦Undef.תPáצFinishedP< 2ȡEܡݤ $ݤٕŕL Z צ System error.Hold [CTRL] and press [RESET]. ndPL$\2š 2Í22   ݕ PV Ʉ=/ @ 2 ڡ[[[2 [ 2 8 ōھ@0 *ײ P, ߪPń -ÄB333 3+Í +-3  -Ä@ 2š2,Pá 0Pߡ0. -P`{pT  ؂ š ȡݤޕȡ' ݤݤܤܤۚ šg:X  v ɡ%؀צP  $   ? ȡ9 =  0ނ  ȡ 0ؑ ȡ0Pɡ1݂ɡצ.10)51=133100.35/Lb  =̲,4پáٕ# 2@{ΗۦUndef.תP0Páצ Pٿ٪PPRצ(P),ȡ 000۪P5.3/00-á..053 3000.á<CEDURE ERRORQUIT;  IMPLEMENTATION E APPROX(Z:REAL;SF:BYTE):REAL; PROCEDURE SHUFFLE(VAR SHF:SHFARRAY;MX:INTEGER);  FUNCTION BINOPLOC(VAR ST:STRING;LOC:BYTE):BOOLEAN;  PROCEDURE NUMSUB(SUB:STRING;VAR TAR:STRING;C0,C1:BYTE; ,TP,MSG:BOOLEAN;VAR AST,PAR:BOOLEAN); PROCEDURE APPROXSTR(Z:REAL;SF,SFMAX:BYTE;VAR AP:STRING);  FUNCTION SMALLDIF(Z1,Z2,ERR:REAL):BOOLEAN; FUNCTION VERYCLOSE(TAR,TRY:REAL;SF:BYTE;SFONLY:BOOLEAN):BOOLEAN;  PROCEDURE GETXVALS(RND:BOOLEAN;N:VARPOS;RX:ROW;ZMIN,ZMAX:INTEGER);  PROVAR ST:STRING;Z:REAL;SF:INTEGER);  FUNCTION APPROX(Z:REAL;SF:BYTE):REAL; PROCEDURE SHUFFLE(VAR SHF:SHFARRAY;MX:INTEGER);  FUNCTION BINOPLOC(VAR ST:STRING;LOC:BYTE):BOOLEAN;  PROCEDURE NUMSUB(SUB:STRING;VAR TAR:STRING;C0,C1:BYTE; ,TP,MSG:BOOLEAN;VAR AST  USES {$U :A.LIB}SHORTGRA,GRAFA;  PROCEDURE ADDCH(A:ASCII;VAR ST:STRING);  PROCEDURE APPEND(AST:STRING;VAR TAR:STRING);  PROCEDURE PUTPARS(VAR S:STRING); FUNCTION ASCSGN(A:ASCII):BOOLEAN;  FUNCTION REALST(ST:STRING;VAR C:BYTE):REAL; PROCEDURE STREAL(,.-X(@ @  6 ^D@! ǿ8r8&HpN,ؤښ4  ۧč4ڧ٧ ؏*٪P.-.-  T a s ۝ GGە6 Rپ؂צP ˡ. ́-ʁ- Pʁ-RTNǿǿDġ ؤښ*Í22   ݕ PV Ʉ=/ @ 2 ڡ[[[2 [ 2  "USES {$U :A.LIB}SHORTGRA,GRAFA,STRAP; "PROCEDURE EXMAKE(VAR INST:STRING;MINCO,MAXCO,MINEX,MAXEX, 'PRPOSNEG,PRADDSUB:INTEGER;VARCHG,SHUFL,OMIT0:BOOLEAN;VAR XSUB:INTEGER);  IMPLEMENTATION E <=>F?A:CGJJLʷ"L(PRINTER:)VܹDouble spaced Single spacedMonitor screen printerצYes No  ȡ&   تPDŽE  RDŽE ٪P E   (   >6Vz.@~CODE.CODEACKE.CODE1.TEXTG[:mƳgEʷ  تP,,PT  @ \ ܡ@ ܡڡ݂P تPǜE  RCL<<ʷZ\\ʷxR` [E :E BODY3 WRITELINUNITPARTCOMPOPTINUMSTRIN\\ER.CODE1\.TEXTGb[h:mng>ʷB `^ph.CODE.CODEACKE.CODE1.TEXTG[:mƳgEʷ "PROCEDURE SETCHAIN(TYTLE:STRING); "PROCEDURE SETCVAL(VAL:STRING); "PROCEDURE GETCVAL(VAR VAL:STRING); "PROCEDURE SWAPON; "PROCEDURE SWAPOFF; "PROCEDURE SWAPGPON;  IMPLEMENTATION E 2L 8<=>F?A:CGJJLʷ"L(3zp & pz @@p@pōaAzkAkȡ{Aiɡ Aa [Apɡ Aa Cۡ5ڡ Aap3Ap Aa@@@@zšp@ AaAAA a@k@kȡ@ @@  @@ȡ`@AAaġ:Apɡ/B AaB@@ AaAi@@A AAAZȄA @@ׯ0P=á 0P=á0 |F6*$ az 3zp & pz @@p@pōaAzkAkȡ{Aiɡ Aa [Apɡ Aa Cۡ5ڡ Aap3Ap Aa@@@@zšp@ AaAAA a@k@kȡ@ @@  @@hjlnprtvxz|~\˂ צ 0P +á #A02\P ء  a3ٳ`a&a cŏcš  @ٿaÝɄaz  ɏ   ؿ ڶ ȡ ھ۹S     ɡ-   ؊ +}F]  "$&(*,.02468:<>@BDFHJLNPRTVXZ\^` ݪP00 11\ˡ1b1)á30200&11iɄ1a2102307030270*1(á0 701ȡ 1 \13 h   t |١MڀÄɄ  ń )@ Ä ޮ Ä؄  ܹڂ(ڕ!ڏچ*/ %"  :7+3צ P öÄ öń'Xؕ  צ-Pxؓ *ؓ ءš CL<<ʷZ\\ʷxR` [E :E BODY3 WRITELINUNITPARTCOMPOPTINUMSTRIN\\ER.CODE1\.TEXTGb[h:mng>ʷB `^ph.CODE.CODEACKE.CODE1.TEXTG[:mƳgEʷáצPrepare a testצRedisplay the last test"List lessons having test questionsDescribe your printerצQuit using this program4צSelect/reject lessons r H $7 Zښɡ@4;ڡ ٞ ܂ ܂ڡ ate the following expression when x = 8, y = -5. -x[2] - 4(y - 6) 11. Please solve the following equation for w. n - 5 = c - 5nw 6. Please factor the following expression. r[2]s[2] + 5rs[2] - 6s[2] 7. Please simplify the following expression. 3w + ((5w - 5)5w + 3)3w 8. 4 - 1 = 9. Please simplify the following expression. 9p + 9p + 3p 10. Please evalu 1. Please factor the following expression. -28s[4] + 63s 2. Please solve the following equation for t. 5 - a(6t + 2) = -4(ct - n) 3. Please simplify the following expression. (2x[4] + 8x)(-6x[2] - 7) 4. 0[3] = 5. -(-8) - 7 = dr-n>D@ZT N  0BNd Pj&nvJ |##J"`<fTp2zZ  6 A.)VHȡ ٥ۤ) (AVڪP-٪PتP)VP)-P)P#A$ A%A!ǀAH@)ש PJ %c%Z#2%Z!#צ %r%T10%l1$%f$%l0%A@.צ%@%S#צ%T%H@襃D Q*zVꥂC16<.ȡ צ cL\ vإڤPٕPR$ š0 0  ۪P~ˡڿ././ġ .á.P...)VHȡ ٥ۤ) (AVڪP-٪PتP)V *?تP,,ȡr,'--š-->---,ɡ 4.W,-,WP.?. -,-Ȃ-,~] ..ȡ<ۤP//ġھ~áš.šRj š  .ڪP٪P.))XʁwʁxġʁxWʁŵWʂȡXW) WW !(f ۤھ0 ڲō ھ $>ȡپ~á ȡ ۤۚ,á%šˍ B צ Pǰ=تP=R* تPY4=צ PDZڡ;߂ V ڏ;ō ۞ۂ! B 쓡bצ"To run another program, insert theצappropriate disk.: t<١