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PT P$:P^ A712940Ph "-";Pr 2950OZ30OL$X$O4880+OA2022707O" - ";BOZ1A2LO2290XO" + ";bOZ1A2nOZ2SA4wOZ30O K$Y$O L$Y$O 4880O$ O. :O8 10);"= ";OB J$" + "OL A(2)02400OV J$" - "O` A(1);X$;J$;(A(2));Y$Pj NZ2A4NZ30N48803N")"::10);"= ";=NZ1A1GNZ2A2PNZ30ZN4880fNN9SA3uN N902100N" - ";N Z1N9N*2120N4" + ";N>Z1N9NHZ2SA4NRZ30N\4880NfNpNz:10);"= ";NZ1A1NZ2SA3GATIVE OF THE"+M+"SECOND EXPRESSION. ";5M01860ZM:CS$"DROP THE PARENTHESES FROM"uM?"THE EXPRESSIONS. ";MDCS$"REARRANGE, AND"MN"COMBINE LIKE TERMS."MS:MX"(";MbZ1A1MlZ2A2MvZ30M4880M") ";I$;" (";MZ1A3L$Y$&L PRINT FIRST EXPRESSION 0L4880CL") ";I$;" (";MLZ1A3WLZ2A4`LZ30L PRINT SECOND EXPRESSION L4880L") = ?";LR526110L PRINT SOLUTION L 14010L1:8:CF$;S$;LS11850M&CS$"TAKE THE NETE PROBLEM K"5380 K,CP$;*K6P$:ZK@ A1,A2 COEFFICIENTS IN FIRST EXPRESSION KJ A3,A4 COEFFICIENTS IN SECOND EXPRESSION KT I$ IS + OR - K^"(";Kh SET UP CALLING SEQUENCE FOR PRINTING KrZ1A1K|Z2A2KZ30KK$X$L112600JCS$"REMEMBER THAT A COEFFICIENT 1"GJ"IS NOT WRITTEN."QJ1290eJA1A211290JCS$"REMEMBER THAT A TERM WITH COEFFICIENT"J"-1 IS WRITTEN AS JUST -";X$J ::J14010J550J PROBLEMS OF TYPE 2 K GENERA8J$" - "8IB" = (";A1;J$;(A2);")";X$;" = ";A1A2;X$>ILGIVT$;TI`Z1A1A2]IjZ20fItZ30pI~K$X${IL$" "I4880I:IA1A201230ICS$"REMEMBER THAT A TERM WITH COEFFICIENT"I"ZERO HAS VALUE 0."I1290JA1A2 CALLING SEQUENCE FOR PRINTING )HZ1A13HZ2A2 1,23,"COPYRIGHT, 1981 BY CONDUIT" @ 1,24,"A CONDUIT REVIEWED AND TESTED PACKAGE"PK,1); C:&C, 10,6,"ALGEBRA"?C. 14,8,"DRILL AND"^C/ 20,10,"PRACTICE I"zC1 1,12,"APPLE II"C2 1,13,"DETMER AND SMULLEN"C6 1,21,"A CONDUIT REVIEWED AND TESTED PACKAGE" D> 1,23,"COPYRIGHT, 1981"0:233,86B6:0:1:11,30,B KF6:100MB"0,171279,171279,1720,172^B$KF1:100:1B<DLAY11000:X(16384):X12768B>DLAYBD104,64:25664,0BF:(4)"RUN MENU":BdK1KF:200::BH,V,Z$BH:VCKK1(Z$):(Z$,K9025 A ANY OPINIONS, FINDINGS, CONCLUS- IONS, OR RECOMENDATIONS EXPRESS- ED OR IMPLIED ARE THOSE OF THE AUTHOR AND DO NOT NECESSARILY REFLECT THE VIEWS OF NSF. A DOS$(4)ADOS$;"BLOAD LOWHRCG"A:6146ADOS$"BLOAD TITLE.SHAP" B232,@ ELEMENTARY NUMERICAL TECHNIQUES FOR DIFFERENTIAL EQUATIONS REGISTRY NO MTH227 LAST REVISION AUGUST 1981 BY KEN DAIKER FOR CONDUIT A THIS PACKAGE IS DISTRIBUTED WITH THE SUPPORT OF THE NATIONAL SCIENCE FOUNDATION (NSF) GRANT NO SED 79-1         Š߮΍ԠȠƠȠĠ߮Ս͠ӠȠӠԠĠӠ߮ōŠǠƠŠȠΠӠӠ߮΍Π̠Π߮ōΠ̠ήōŠȠҠȠƠŠҍōŠҠ̠ԠŠ٠ŠӠƠР߮׍ԠƠŠԠĠԠΠŠȧӠŠ߮ŠΠ٠ŠΠŠȧӠŠǠ͠ŠϠӠĠϠŠŠ߮ԍԠԠƠŠ߮ҍΠҠȠŠŠҠΠΠ٠ٍԍƠƠŠ߮ōנРƠĠǠϠҠӠƠĠ߮ӍŠРƠŠ߮ō̠ԠԠŠǠҠŠĠҠǠŠ͍߮Π٠ŠǠŠȠ٠ΠŠȠĠȠӠ߮ҍĠŠȠРӠĠϠŠβŠԠƠŠŠ̠ӠĠ߮ōŠ٠ĠΠȠŠȠӠϠΠӠĠ߮ӍŠŠĠŠ߮ōŠ٠ƠĠ߮ԍĠҠƠȠŮϠԠ̠ϠŠҠƠˠԠӠϠŠ᩠ΠĠŻ⩠ҮϠРӠΠ٠ĠԠӠϠŠĠϠ᩠Šλ⩠ŠήˮԠΠŠˠԠϠŠŠĠŠˠΠԠĠŠ᩠̻⩠̮ŠԠԠӠŠΠԠƠӠΠӠ᩠ŠΠ٠˻⩠ˠӠŠ٠ΠΠԠӠĠȷϠϠˠŠԠ᩠ŠĻ⩠ŠǠŮƠՠŠŠŠϠŠҠԠՠԠ᩠ŠŠŠҠԠӻ⩠ŠΠΠŠŮŠŠԠ٠᩠Ļ⩠ ŠӠҠӠƠŠŠǠӠŠߠƠ߮Š΍ԠӠĠϠӠŠήԯƩԍΠӠΠŠӠƠӠԠŠΠԮŠԠӠŠΠƠŠŠ߮΍ŠҠŠŠŠŠŠӠĠϠߠ߮Š΍ҠŠ̠ߠ߮Šӻ⩠Ԡ̠ӮӍΠӠĠΠ᩠̠Šӻ⩠ԠŠӮ̠ŠӍŠԠԠӠŠΠԠƠӠΠӠ᩠ΠӠӠŠԠĠŠĻ⩠ŠԠƠɱĠϠǠΠ٠ĠҠŠΠԠĠӠŠλ⩠ӠήŠ΍ՠĠŠŠΠǠˠӠ᩠Ԡһ⩠ŠҮԠҍՠԠϠŠΠ᩠   ōŠԠϠˠҠҠ߮ōϠҠӠ߮ōƠǠȠǠӠҠ٠Šٍ߮ΠԠˠٍ߮ΠϠӠƠΠӠԠΠ߮ҍΠϠӠҠӠΠĠҠΠŠ߮ŠΠŠŠ߮ōΠΠҠ̠ΠӠŠԠ߮ōǠƠӠƠ̠٠ϠŠŠҠԠӠٍ߮ϠŠϠנ߮ōǠҠԠϠԠԠǠȠϠŠǠԠҠĠҠΠƠ̠ĠŠ߮ԍŠàӠԠΠΠŠРŠŠߠߠ߮ǯǯǍŧӠԠŠ߮ōϠŠҠҠӠӠ߮̍ƠҠĠ͠Š̠ΠϠŠĠ٠ԠŠŠĠĠŠԠߠ߮ӍŠΠŠРӠϠŠߠߠٍ߮ƠՠԠ͠ŠӍҠŠԠŠΠӠŠàΠӠ̠ŠŠԠƠ߮̍ŠԠԠ̠ŠŠԠϠŠӠӠԠӠŠߠ߮ԠǍԠĠҠΠŠծӮӠΠΠ٠ӠĠϠΠߠ߮ˠǍŠԠ٠ĠԠŠҠ٠ƠծӮӠΠӠؠՠŠӠߠߠߠ߮ǠĠŠҍǠέР͠ΠӠӠӠߠ߮ǠҲؠӠԠԠΠŠĠԠŠӠϠߠ߮ŠӍ٠ӠΠӠԠԠԠӠӠŠԠŠӠŠӠĠΠߠ̠߮ӍŠ٠̠ƠΠϠĠӠ߮ˍȠŠȠӠƠӠ߮ΠԠΠΠ͍߯ŠԠƠǠ٠߮΍͍߮ŠŠƠҠ߮ȍŠҠΠŠĠϠŠ٠ҠԠӠ߮ōŠ٠ŠŠƠŠҠŠ߮؍ΠԠϠРǠ߮ōĠĠĠҠ͵o DM O TH:Gx7ɾ::?/0h>-/!͔-ͼ-0 ͍-Ͱ/ͼ-0 ͍-30̓/-/!͔-ͼ-> .39A-j>--30/-c]KOE|y7"IG"I?t]],- 7+!T"]    ! ! ! ! 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";OgD7490XgNF13gX COEFFICIENT IS 1 IF NO DIGITS BEFORE VARIABLE gbF207060glV1gv7130g SET MESSAGE FLAGS CHECK FOR TYPED ZEROES FOR CONSTANTS OR COEFFS hV6890fJ$"-"7210"fS91Cf CHECK FOR MISPLACED SIGNUfF1F206940[ffCS$"YOU SHOULD NOT TYPE TWO SIGNS TOGETHER."f7490f HAVE FOUND CONSTANT TERM UNLESS VARIABLE ALREADY IDENTIFIED fF107010f&W(3)06990g0*e@CS$"YOUR ANSWER SHOULD CONTAIN ONLY"TeJ"ONE ";J$;" TERM. ";CS$;"SIMPLIFY."^eT7490ge^F11qeh7330erJ$Y$6830e|F106630eW(2)06710eF12e7330e CHECK FOR SIGN(MARKS END OF TERM) eJ$"+"6860eS91fRIABLES dJ$X$6770(dF106700.d^dCS$"VARIABLES WRITTEN NEXT TO EACH OTHER"d"MEAN MULTIPLICATION, NOT ADDITION OR"d"SUBTRACTION. ";CS$;"YOUR ANSWER IS WRONG."dC416680d7480dT$;d"7530d,W(1)06750d6(F$,J,1)6540cFF106510$cPPcZCS$"PLEASE WRITE COEFFICIENTS BEFORE"ec_"VARIABLES. ";vcdJ9:J:7490cnV10VJcxF2F21cJ9:J:7330cJcJ$"0"6610cF106480cV10VcF2F21c7330d CHECK FOR VAADING + OR - bI1&bJ$(R$,I,1)7bJ$"+"6400IbJ$"-"6430SbS51]bII1ob(R$)16410b:CS$"YOU TYPED ONLY A SIGN."b7450b J$(R$,I,1)b SKIP BLANKS bJ$" "7330b( CHECK FOR DIGITS b2J19c<J$IENT OF Y$, W(3) CONST F1 FLAG TO IDENTIFY LAST TERM FOUND (1 FOR X$, 2 FOR Y$ AND 3 FOR CONST) F2 COUNT OF DIGITS IN TERM F3,F4 FLAGS FOR CORRECT BUT NON-STANDARD FORM OF ANSWER a.S51:V0:F10:F20:F30:F40ajW(1)0:W(2)0:W(3)0 b LOOK FOR LE `HT(36):VT(37)1*`14035:1:9<`(R$)06190m`:CS$"YOU DIDN'T TYPE ANYTHING BEFORE YOU"`"PUSHED RETURN. ";`7490` COEFFICIENTS CALCULATED WITH S5 AND V; STORED IN ARRAY W a W(1) = COEFFICIENT OF X$, W(2) COEFFIC(R(6)1)_>R(1).55970'_HA5A57_RA6(R(7))J_\R(1).56000U_fA6A6g_pA8(R(6)1)r_zI$"+"z_S1_R(1).56060_I$"-"_S1_A(1)A7A1SA8A4_A(2)A7A2SA8A5_A(3)A7A3SA8A6_` ANSWER BLOCK(1)A1SA3^A(2)A2SA4"^E^ CONTINUE FOR TYPES 3 AND 4 W^A7(R(6)1)j^R(1).55860u^A7A7^A715830^T45940^ FINISH TYPE 3 ^A(1)A7A1^ A(2)A7A2^A(3)A7A3^ ^* CONTINUE FOR TYPE 4 _4A5A2 ]/] CONTINUE FOR TYPES 2, 3 AND 4 A]A4(R(6)1)T]R(1).55680_]&A4A4o]0A3(R(7))]:R(1).55710]DA3A3]NT25830]X FINISH TYPE 2]bA305680]lI$"+"]vS1]R(1).55790]I$"-"]S1 ^A0 \@X$"X"\JY$"Y"!\T55300\^M.85510;\hX$"A"F\rY$"B"P\|5530[\X$"S"f\Y$"T"x\A1(R(6)1)\R(1).55560\A1A1\A2(R(6)1)\R(1).55590\A2A2\T15640\ FINISH TYPE 1\Y$" "]A(1)A10[nN905320[xZ305360)[52804[J$"-"?[Z3Z3O[N905310X[J$;b[5320s[" ";J$;" ";|[Z3;[[ PROBLEM AND ANSWER GENERATOR [A(1)0[A(2)0[A(3)0[" SELECT VARIABLE NAMES [,MR(1)\6M.5547G@10010:100G@SWM9M0:LMM0:(O$)SWĺLM);O$:O$"":XX(0):@ TP1(O$):NPTPSW:NP(O$)ĺLM);(O$,TP):TPNP::O$"":XX(0):ALOOP11:NPNP1:LOOP((O$,NP,1)" ")NPTP5:LOOP:LM);(O$,TP,NPTP1):TPNP:SWM9M0M8:LMM0M8:X                         :VV881:H,VHU,V:3:C$;:w6 EXAMPLE Iw61:24:CE$;E$;:14000:R51R52ĺCG$;:14020Ow6^w6 ANSWER xw6HT(36)1:VT(37)1w6MX37w6HT:VT:"?";:HT:13300:w6 ? w614040w:6:H(H81)74:H(H2)2:HUH(HL1)7:HU2HU(HU2)2xZ$"/"Z$"S")13420&vg4R$R$Z$:R$;9vj4R$"/S"13370Dvk413408Jvl4tv 56:HT7,VT81(HTHL)7,VT81:3:v6YES/NO ET. AL.v6MX3:"?";:(36):13300:v6 PRESS RETURN w625:24:CE$;CS$"PRESS "CK$"RETURN"CL$;:XX(0):13200:25:CE$J$u4I:L(R$)u4FF(0)7u&4(R$,1)"Y"R51:Ou04(R$,1)"N"R52:nuD4R54:(R$,2)"/S":13392yuN4R55:uP413396uR4:13394uT4216,0:9999uW4 PRESS RETURN uX4R$""u]424:25:MX2:CS$"PRESS "CK$"RETURN"CL$;u`4Z$vb4(MXN932N996ĺCG$;:13010At3Z$Z$(N9):N9$;:ZLZL1:13010bt3 SINGLE CHARACTER INPUT pt316368,0t3Z$:Z$"/"ĺ"/";:ZL1:MX2:13010:13310t3t3 YES/NO INPUT t313000:OP$;t3R$"":I1(Z$)u4J$(Z$,I,1):J$" "R$R(N9$):N93ij/s2N921N932:N9$" ":13050As2N91313020gs2MLMXZL:ML(36)39ML39(36)ts2ML);:s2N9813050s2(Z$)0ĺCG$;:13010s2ZL1Z$"":13046s2Z$(Z$,1,(Z$)1)s2ZLZL1s2(36):" ";:(36):13010t2ZLRE"r C318240!r C308240/r& W$" WAS"Xr0 C3;W$;" NOT CORRECT ON EITHER TRY."hrN 14010:410ur'MU8082r'1:1::CD$"RUN MENU":r2 GENERAL INPUT r216368,0:Z$"":ZL0:HZ(36)1:VZ(37)1:MX1ĖHZ1:MX);:HZ:VZs2N9$:N9:CS$;'q"YOU TRIED ";C1C2C3;W$-q R71v]H R81]R 5500]f Q2]p Z1R1]z Z20] 6160] M$Z$] 11030:11020:S703500] O$P$^ O$O$"WHAT IS AN EXPRESSION FOR THE9V0:R00:A00:13000\ 6570-\ F13190B\ F2İ5230:3190`\ (Z11).001İ5230:3190\ (T2T1Z2).001İ5230:3190\ 5880\ L$R$\ 3390\ 1:11000\ O$S$"CAR B TRAVELED "(T1T2)" HOUR"\ T1T213350\ O$O$"S"] F03000[ X$R$[ Q1&[ Z113[& Z2T2T1=[0 6160G[: L$Z$][D 11020:S703160g[N O$P$[X O$O$"WHAT IS AN EXPRESSION (IN TERMS OF "X$") FOR THE "[b O$O$"TIME THAT CAR B TRAVELED ?"[l S713300[m 1\v H022:H930:V0Y12:VA TRAVELED BE "X$".":11020:1:11000:14:Y12:X$@Z 3080Z 11000:11020:O$O$"WHAT VARIABLE NAME (LETTER) WOULD YOU LIKE TO CHOOSE "Z O$O$"FOR THE TIME THAT CAR A TRAVELED ?":1Z H014:H920:V0Y12:V9V0:R00:A00:13000Z 8820 [080YL Y13:34:(D)cYN L3İ11000:11020:CS$"PROBLEM: "CS$"ANSWER THE QUESTION IN THE BOX."xYT (1S7)L44910Yh 1Yr C412950Y| F02960Y Q3080,3390,3690,3990,4720Y Y S703000Y L3İ110006Z O$O$"LET THE TIME CAR 0 X2 820X< S71XF 1175(XZ 110004Xn S70ıFX Y12:22:T2UX R712770bX 14:D1;qX R722760}X 22:D2X R732770X X Y13:34:DX X X R802840X 2840X 11000:X, DD1S5D2X@ L22930YJ 11000:5W T2;:2560W D1;:2560,W D2;:2560:W D;:2560IW R1;:2560XW R2;:2560aW T1;W 40:22:(23);:1:17:CF$;ZL$;W 1:18:CS$"WOULD YOU LIKE TO SEE THE SOLUTION OF":"THIS PROBLEM: ";W 14660W R512620X( R52ĺCG$;:2570 VL Y13:34:" ";:34:D;1VV S71İ11000;V` 6020FVj 11030XVt C41ġ:2470aV~ C41V 1:23:CS$;"THAT'S WRONG.";V 1:24:CS$"TRY AGAIN.";V V 1:23:CF$;CS$"THAT'S STILL WRONG. ":W$;V Q2490,2510,2530,2550,2552,2554,255622804UO$O$"OPPOSITE DIRECTIONS, SO YOU ADD "?UJ$"+"pUO$O$"TO FIND THE DISTANCE BETWEEN THEM. "UO$O$"THIS GIVES "UD1D22340U JD1U D1D2U D2JU$ O$O$(D1)" "J$" "(D2)" = "(D)U( :1U8 R74VB R8:V9V0:R010000:A010000:SH1:13000:SH04TR7530JT\F0İ2450:2110hTf(DV2).001İ2410:2110rTp5880|Tz2360T1T11000:O$S$" THE CARS WERE GOING IN "TS512260TO$O$"THE SAME DIRECTION, SO YOU SUBTRACT "TJ$"-"UP$0SO$O$"REMEMBER THAT THE CARS WENT IN "@SS512070bSO$O$"THE SAME DIRECTION. "lS 2080SO$O$"OPPOSITE DIRECTIONS. "S O$O$"HOW FAR APART WERE CARS A AND B ?"S*D(D1S5D2)S4S712190S51*T>H034:H938:V0Y13.001İ2410:1820RN5880%RX19600Rl1:::RO$S$pRO$O$" D = RT = "(R2)"("(T2)") = "(D2)R11000:1::RW$;D2R11000:Y13:22:" ";:22:D2;:11000RR73RR81RQ4R1:Y2:(6);:1:Y2:S702030SO$R72 QR81QQ32Q11030:11020:S701800CS$"YOU GOT IT!"spH6000pR" "CS$"CORRECT!"p\6000pf" "CS$"FINE!"pp6:H88:V82284:H91375:V92384:H8,V8H9,V8H9,V9H8,V9H8,V8:3qzC40:115690o11000o:*oXR1205(R(6))AobR2R15(R(4)1)SovT2(R(5)1)hoT1T2(R(3)1)qoS51oR(1).55820oS51oD1R1T1oD2R2T2oD(D1S5D2)oX$"T"ooC40:J(R(5)1):1:21:CF$;:23:3p J591:820n^S71nh1175$n|S70ı/n11000_nY12:14((X$)3):X$;:22((L$)3):L$;nnR715620nY13:14((M$)3):M$nR725620nY13:22((U$)3):U$nR735620nY14:28:" ";:28(11(Z$)):Z$oR80F0#mQ5330,5350,5370,5390,54102mL$;:5420AmM$;:5420PmU$;:5420_mZ$;:5420hm"T1;sm,11000m11:23:CF$;CS$"WOULD YOU LIKE TO SEE THE SOLUTION OF":"THIS PROBLEM: ";m614660m@R51İ15000:5470mJR52ĺCG$;:5425nTF IT?":5210O$O$M$" - ("U$")"gH4700gRO$O$U$" - ("M$")"g\O$O$" = "Z$:1:M$"":U$"":XX(0)gpR74gzR81gL24760gR80hCE BETWEEN THEM. "!fD04650bfO$O$"REMEMBER TO SUBTRACT THE SMALLER DISTANCE (THE CAR "fO$O$"BEHIND) FROM THE LARGER (THE CAR AHEAD). "f4650fO$O$"OPPOSITE DIRECTIONS, "fO$O$"ADD TO FIND THE DISTANCE BETWEEN THEM. "$g OS4450HeX((Z1Q1)(Z2Q2)).001((Z1Q1)(Z2Q2)).001İ5230:4380Reb5880\elZ$R$fev4720lee11000:11030:11020:O$S$" SINCE THE CARS WENT IN "eS514590eO$O$"THE SAME DIRECTION, "fO$O$"SUBTRACT TO FIND THE DISTAN6160dS714490d1d1:Y23:CS$"WHAT IS AN EXPRESSION FOR THE DISTANCE":"BETWEEN THE CARS: ";:H019:H939:V0Y24:V9V0:R00:A00:13000d06580d:F14380dDF2İ5230:4380dID04440dN((Z1Q1)(Z2Q2)).001İ5230:4380e0:S704260c~11030:110203cCS$"PROBLEM: ";cCS$"WHAT IS AN EXPRESSION FOR":"THE DISTANCE BETWEEN THE TWO CARS?";cQ2R2(T2T1)cS514330cQ1R2R1cD04340cQ1Q1cQ2Q2c4340cQ1R1R2cZ1Q1cZ2Q2d$"THE SAME DIRECTION.":1$b4090JbO$O$"OPPOSITE DIRECTIONS.":1:XbL24200hbS514220bO$"ASSUME THAT CAR B IS "bD04150b"O$O$"BEHIND "b,4160b6O$O$"AHEAD OF "b@O$O$" CAR A.":1:bJ4220bh1 c|1100230:3820a2U$R$a<5880'aF3990;aZ1::O$S$:1:QanO$" D = RT = "aaxO$O$(R2)~aO$O$"("L$") = "U$a1:aR73aR81a5500aQ4a11030:11020:O$"REMEMBER THAT THE CARS TRAVELED IN "aS514080bO$O LOOKS LIKE ZERO."2#1:F1#<#0P#L1(R$)8Z#F0Gd#L109230^n#(R$,1)" "9110rx#R$(R$,2,L11)#L1(R$)#9070#L1(R$):L109230#(R$,L1,1)" "9150̀#R$(R$,L11)׀#9110〾#I2L1#(R$,I,1)" "9200"9040"F09020%"L1189302"J1035I"(F$,J,1)R$8910P"Ja"R$"O"8960k"9020|"1:22:CF$;"O$"USE ONE LETTER FOR THE NAME OF A VARIABLE.""9010#1:22:CF$; #O$"THE LETTER O IS NOT A GOOD CHOICE SINCE IT":1~!8790K~"1:22:CF$;CS$"I DIDN'T EXPECT YOU TO TYPE ' ";J$;" '."U~"8790~$"1:22:CF$;CS$"YOU TYPED A SIGN IN THE WRONG PLACE."~8"8790~B"1:22:CF$;~L"O$CS$"YOU TYPED A DECIMAL POINT IN THE WRONG PLACE.":1~V"F1~`"~t"F0<}!O$CS$"PLEASE WRITE COEFFICIENTS BEFORE VARIABLES.":1F}!8790W}!1:22:CF$;}!O$CS$"YOUR ANSWER SHOULD NOT CONTAIN A PRODUCT OF VARIABLES.":1}!F2}!8800}!1:22:CF$;~!O$"I CAN'T UNDERSTAND THE WAY YOU HAVE USED PARENTHESES.!O$"YOU DO NOT NEED TO TYPE 1 TIMES A VARIABLE.":1@| !8500N|!V08500|*!O$"YOU DO NOT NEED TO TYPE ZERO TIMES A VARIABLE.":1|4!I(T$)8800|>!S9S8|H!V0|R!M31|\!C50|f!C60|z!II1|!I(T$)8280|!7870}!1:22:CF$;{& S81{0 8280${: J$"("8710.{D 8680={X M318300K{b V10M3V]{l C5C608330l{v M318770v{ 8740{ C618380{ V2S9VV2{ 8500{ C508420{ V1S9V1{ 8500{ V1S9VV1{ V18500{ 1:22:CF$;:V184706|0zrM318770z|M3.1$z85703zL918140DzJ$"H"8110VzJ$"M"8710dzI(T$)1nz8280zJ$X$8190zC61Ė1:22:CF$;:8640zC61z8570z CHECK FOR SIGNzJ$"+"8220z S81z 8280z J$"-"8250yF22yyIF21*yJ$(T$,I,1)5yJ19MyJ$(F$,J,1)7940cyC61J9::8610qyV10VJ{y7980yJyJ$"0"8030yC618610y"V10Vy,C5C51y6M318570y@M3.1M3yJ8570y^J$"."8080zhC61877WER SHOULD NOT CONTAIN A PRODUCT OF VARIABLES.":1:11000AxBF2GxLRxj11030\xo9040jxtF08820tx~T$R$xV10:V20:F0:F20:C50:C60:S91:V0:M31xZ(T$,1)"+"7800xd(T$,1)"-"7850xnS91xxF21x(T$)17850xV2S9Z1M1wZ2Z2M2w7500.w1:22:CF$;xwO$"I CAN'T UNDERSTAND THE WAY YOU HAVE USED PARENTHESES.":1:11000wF1w7500w1:22:CF$;CS$"YOU TYPED A SIGN IN THE WRONG PLACE.":11000wF1w$7350w.1:22:CF$;9x8O$"YOUR ANS vZ2Z2M2vM10vM2S8+vL6L415v7330Av L7L61KvL8L4Uv L6L4_v*7240kv4L6L81tvHF10vRT$(R$,L71,L8L71)v\7620vfF07500vpF227430vzM1V107470vM1M2V1V2M1vM2V2M2vL6L16730wZ1uJL6L71'u(R$,J,1)"+"6970@u&(R$,J,1)"-"7010Ku0S81Uu:L4JnuDF1(L61L4)17430xuNF11uX7020ubJulL407070uvL8L7uL7L61uL6L8u7240uL4L17430uL4L67180uL617140uZ1Z1M1L61t,9040t6F07500'tJL700tTL80=t^JL6L1Vth(R$,J,1)"("6790`trL7Jjt|6800qtJ~tJL6L1t(R$,J,1)")"6840tL8Jt6850tJtL8L77390tL7L66910tL7L67220tL7L11tL40uS81(J8)):s F20sJ8(J8)-sJ9401As(S9(J810J9)Ps2S906480es<T$T$(F$,S9,1)osF6500~sPF206520sZT$T$"0"sdF21snJ8J8S910J9sxJ9ss11030sZ10:Z20sF0sF10sM10sM21sS81t6350r8Z206230rBZ$"0"%rL3rVZ$Z$"-"Br`Z106350Trj(Z1)16290^rtJ8Z1hr~6400urZ$Z$T$rZ$Z$X$rZ206380rZ206340rZ$Z$" + "rZ206350rZ$Z$" - "rJ8Z2r6400rZ$Z$T$rsT$(000:q11030:11020Tq1:22:CF$;CS$"THAT'S THE END OF THIS PROBLEM.";:11000bqS71820q1:24:CF$;CS$"SOLVE ANOTHER PROBLEM LIKE THIS ";q690qR51920qR52322qCG$;:6050qZ$""qZ106250q$Z106230r.Z202:23:AC3ĀG)AC27106002G")AC32AC13ıDG,)(7);:10500Gh)1:23:" WANT TO REPEAT THESE INSTRUCTIONS?":2:23:16368,0:A$:A$"Y"ĬGm)A$"N"ĺ(7);:10600Gr)::103501EN,"::" WHEN ASKED TO INSERT A 13 SECTOR DISK,"::" INPLEASE COME BACK TO TRY":5:12:"ALGEBRA DRILL & PRACTICE LATER!"OF(1:23:F)5:23:" PRESS SPACE BAR TO CONTINUE.";:10501:10515F)Y(49168)F)X(49152):X12710502F)Y(49168)F )X(49152):X12810505F )Y(49168):ACX128:G)NSERT THE MTH229A DISK IN DRIVE 1.":10500::(4)"PR#6"TE(Z$"N"Z$"NO"10400E(:2:12:"WOULD YOU LIKE TO MAKE A SELECTION? "::" TYPE Y OR N! ";:Z$E(Z$"Y"Z$"YES"ĺ:(4);"RUN SELECT"E(Z$"N"Z$"NO"ĺ(7);:10406BF(:8:10:"D(Z$"Y"Z$"YES"10404tD(:6:" IF YOU HAVE A 13 SECTOR SYSTEM"::" PLACE THE MTH229A DISK IN DRIVE 1.":8E(:::" OTHERWISE, FOR A 16 SECTOR SYSTEM"::" START WITH THE BASICS DISK, THEN,"::" WHEN ASKED TO INSERT A 13 SECTOR DISK,"::" IDISK."C'::" AFTER MAKING A SELECTION YOU WILL"::" BE PRESENTED WITH ANOTHER MENU FROM"::" WHICH YOU MAY CHOOSE THE QUESTION TYPE"::" OR DIFFICULTY LEVEL."C'10500D(:1:6:" WOULD YOU LIKE TO 'BOOT' NOW? "::" TYPE Y OR N! ";:Z$ THE MTH229A DISKETTE"::" IN DRIVE 1 OF A 13 SECTOR SYSTEM."B|':" (START WITH THE BASICS DISK FOR A"::" 16 SECTOR DISK DRIVE SYSTEM.)"C}'10500:::" THE FIRST PROGRAM PRESENTS A MENU"::" OF DRILL AND PRACTICE PROGRAMS"::" AVAILABLE ON THIS 1979"A$'10500&At':(768)210109Av'2:" ALGEBRA DRILL AND PRACTICE I"::" IS STARTED UP PROPERLY"::" BY 'BOOTING' AS FOLLOWS:"Az'::" (1) TURN THE APPLE OFF THEN ON AGAIN"::" OR (2) TYPE PR#N (USUALLY SLOT #6).">B{'::" DO THIS WITH@' INSTRUCTIONS@':K@'::" THIS SET OF PROGRAMS IS BASED ON:"y@'5:8:"ALGEBRA DRILL AND PRACTICE I"@'2:12:"BY RICHARD DETMER AND CLINTON SMULLEN"@'2:14:"UNIVERSITY OF TENNESSEE AT CHATTANOOGA"A'12:19:"COPYRIGHT,    HZ:VZ:"?";:(36):14270:R51R52ĺCG$;:14670;X9c:28:12:CW$;:14:10:CV$;CF$;ZL$;:38:12:CW$;:32:11:CV$;CF$;ZL$;:37:14:" ";:CJ$ 7I7R9$"":FF(0)57(R$,1)"Y"R51:M7(R$,1)"N"R52:j8R54:(R$,2)"/S"14370u8R55:"814390,8:1438068216,0:99998MX3:"?";:(36):14270:܆&91:23:CF$:E$;:14660:D9HZ(36)1:VZ(37)1:MX35N97(R9$)0ĺCG$;:140200 7ZL1R9$"":14110J7R9$(R9$,1,(R9$)1)V7ZLZL1u27(36):" ";:(36):14020<7ZLMXN932N996ĺCG$;:14020P7R9$R9$N9$:N9$;:ZLZL1:14020Ʌ714010߅7R$"":I1(R9$)7J$(R9$,I,1):J$" "R$R$MX1"2H0:V0:" ";:H0:1427062R9$R$:R9(R$)S2(R9R0R9A0)R0A0ıd2CG$;:13010616368,0:R9$"":ZL0:ZH(36)1:ZH1:MX1);:ZH6N9$:N9(N9$):N93ijɄ6N91314070܄6N9$"":N9(0)6MXZL);:6N9814140"/"ĺR9$;:ZL1:MX2:14020:14280:CG$;:11002J*25:CF$;:CH1:CV1:~+40:Y21:(23);:1:Y1:CF$;:1:Y1:(25);: +40:Y31:(23);:1:Y2:CF$;:1:Y2:(25);:Ń+1:Y3:CF$;:.B1,B2B3,B2B3,B4B1,B4B1,B2:2MXH9H01:MX0R "CS$"A TRAVELED FOR "T1" HOURS.":(37)U'CS$"FIND ";:L2ĺ"AN EXPRESSION FOR "'"THE DISTANCE BETWEEN THE TWO CARS.":11000:''ɂ*IT1:CV(37):CVCV(CV23):CH(36):PK(49168).*25:24:CF$;CS$"PRESS "CK$"RETURN"CL$;:R9$:R9$#R$(R$,1,I1)(R$,I1,L1I)*#L1L114#II1;#IJ#L109230P$|$1:22:CF$;CS$"YOU ONLY TYPED SPACES.""$F1,$'MUī322'1::(4)"RUN MENU":Á':3:6146:t'L10110,10120,10140,10180)~'L1ĺCS$"SUPPOSE THAT CAPLETE PROBLEMS":9)"WITHOUT HINTS."OI:5);"5. RETURN TO THE MAIN MENU."}I1:24:CS$"CHOOSE ONE OF (1-5) ";:14000I(R$)0ĺCG$;:440IL(R$):L1L5L(L)ĺCG$;:440IMU1:CP$:1:8IL512010J&XX(0):L560,580,580,560, ONLY NUMBERS."Hh]Hr5);"2. SETTING UP EXPRESSIONS WHICH":9);"CONTAIN VARIABLES ";H|"FOR EACH OF":9);"THE QUANTITIES IN THE PROBLEM."HH5);"3. SOLVING COMPLETE PROBLEMS,":9);"GUIDED BY HINTS."H$I5);"4. SOLVING COMANGLES."ZG1:10:CS$"TO END A SESSION EARLY, ENTER /S":"IN ANSWER TO ANY QUESTION.":eG14010}G6 LEVEL SELECTIONG@MU0:CP$:3:C40GJM80:O$"THE FOLLOWING LEVELS OF DIFFICULTY ARE AVAILABLE:"GM1:GTH^5);"1. PROBLEMS WITH8:Y213:Y320FP(40)FFF$"123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ"[FP$"PROBLEM: "qFS$"SOLUTION: "{FCP$;F3GCK$"RCTNGL: "CL$;CS$"A PROGRAM FOR DRILL AND PRACTICE";:9:"WITH SETTING UP AND SOLVING WORD";:9:"PROBLEMS ABOUT RECT BY THE KEB NATIONAL SCIENCE FOUNDATION UNDER GRANT NUMBER SER78-00174. wEdCS$(19):CP$(16):CK$(11):CL$(12)ExCD$(4):CE$(5):CF$(6):CG$(7):CI$(9):ZL$(26)CL$EzHX1:VX15:HY40:VY22ER(J9)J9(3)EM01:M940:M84FY1YD PROGRAM RCTNGL: DRILL WORKING WITH WIDTHS,LENGTHS AND PERIMETERS OF RECTANGLES D WRITTEN BY: R. DETMER (WESTERN KENTUCKY UNIV) AND C. SMULLEN (UNIV OF TENN AT CHATTANOOGA) E@ THIS MATERIAL IS BASED UPON WORK SUPPORTED IN PARTPORT OF THE FUND FOR THE IMPROVEMENT OF POST-SECONDARY EDUCATION (FIPSE), GRANT G007905216. C ANY OPINIONS, FINDINGS, CONCLUS- IONS, OR RECOMENDATIONS EXPRESS- ED OR IMPLIED ARE THOSE OF THE AUTHOR AND DO NOT NECESSARILY REFLECT THE VIEWS OF FIPSE. X90T9T91B T9:X9;:2BT9T9(((X9)))MB(X9)1X90T9T91SBB ALGEBRA DRILL AND PRACTICE PART I PROGRAM RCTNGL REGISTRY NO MTH229A LAST REVISION DEC 81 BY KEN DAIKER FOR CONDUIT \C THIS PACKAGE IS DISTRIBUTED WITH THE SUPP1):TPNP::9ACV(37):CH(36):14010:CH1:CV1:nA40:Y21:(23);:1:Y1:(6);:1:Y1:(25);:A40:Y31:(23);:1:Y2:(6);:1:Y2:(25);:A1:Y3:(6);:A B1,B2B3,B2B3,B4B1,B4B1,B2:A T9T9(((X9))) B (X9)1fG@:3:6146:16302,0:100U@SWM9M0:LMM0:(O$)SWĺLM);O$:O$"":SW(0):@HM$O$:TP1(HM$):NPTPSW:NP(HM$)ĺLM);(HM$,TP):TPNP::O$"":HM$"":SW(0):ALOOP11:NPNP1:LOOP((HM$,NP,1)" ")NPTP5:LOOP:LM);(HM$,TP,NPT                      WANT TO REPEAT THESE INSTRUCTIONS?":2:23:16368,0:A$:A$"Y"Ĭam)A$"N"ĺ(7);:10600pr)::10350A)5:23:" PRESS SPACE BAR TO CONTINUE.";:10501:10515H)Y(49168)d)X(49152):X12710502s)Y(49168) )X(49152):X12810505 )Y(49168):ACX128:)2:23:AC3Ā)AC2710600")AC32AC13ı,)(7);:10500Fh)1:23:"3:AC3ĀJ)AC2710600-J")AC32AC13ı?J,)(7);:10500Jh)1:23:" WANT TO REPEAT THESE INSTRUCTIONS?":2:23:16368,0:A$:A$"Y"ĬJm)A$"N"ĺ(7);:10600Jr)::10350YTRY":5:12:"DIFFERENTIAL EQUATIONS LATER!"(1:23:9ASE COME BACK TO TRY":5:12:"DIFFERENTIAL EQUATIONS LATER!"JI(1:23:I)5:23:" PRESS SPACE BAR TO CONTINUE.";:10501:10515I)Y(49168)I)X(49152):X12710502I)Y(49168)I )X(49152):X12810505I )Y(49168):ACX128: J)2:2SERT THE MTH227 DISK IN DRIVE 1.":10500:(4);"PR#6"QH(Z$"N"Z$"NO"10400H(:2:12:"WOULD YOU LIKE TO MAKE A SELECTION? "::" TYPE Y OR N! ";:Z$H(Z$"Y"Z$"YES"ĺ:(4);"RUN SELECT"H(Z$"N"Z$"NO"ĺ(7);:10406=I(:8:10:"PLE Y9350 YF0İ14010:1970*Y X$R$0YY 8:7:O$"WHAT IS AN EXPRESSION (IN TERMS OF "X$") FOR THE LENGTH OF THE"Y*O$O$" RECTANGLE?"Y4Q1Y>S712240Y?1YH ACCEPT RESPONSE AND CHECK ANSWER FOR LENGTHZRH016:H9H08:V070,2420,2690X!XS702000VX7:5:"LET THE WIDTH BE ";X$".":16:Y1:X$:5`X2070kX11002X7:O$"WHAT VARIABLE NAME (LETTER) WOULD YOU LIKE TO CHOOSE FOR THE "XO$O$"WIDTH?"X1XH016:H9H04:V0Y1:V9V0:R00:A00:10000"IF THE PERIMETER OF THE RECTANGLE IS "(P)" METERS,"ZWDO$O$" WHAT IS ITS WIDTH"WN(1S7)L4O$O$"?":11002:2777WX CONTINUE FOR LEVELS 2 AND 3WbO$O$"?":1:Wl11002:WvF01930WC401960WJ9QWQQ1 XJ920IS "(L2)" AND THE PERIMETER"UVO$O$" IS "(P)".":1:20:CE$:CE$:20:1:kV3690:R5950,870V CORRECT ANSWERV3780V3920V CONTINUE FOR LEVELS 2, 3, 4V& Q=1 LENGTH, Q=2 PERIMETER, Q=3 WIDTHV0L21900:W:4:O$ PERIMETER?";MUH016:H9H08:V0Y12:V9V0:R0999:A0999:SH1:10000:SH0WU8070zUF0İ3490:R511680,950,870U(V2P).0011800UC40İ3460:R511680,950,870U WRONG ANSWERU V8:O$O$"THAT'S STILL WRONG. THE LENGTH V0:R0999:A0999:SH1:10000:SH0,T8070OT"F0İ3490:R511530,950,870gT,(V2L2).0011610vT6C411750T@3460:R511530,950,870TJ3780TTQ2T^Th1670TrT|"THE LENGTH OF THE RECTANGLE IS ";L2 U8:7:"WHAT IS ITS:H9H04:V0Y1:V9V0:R0W.001:A0W.001:10000:Z9R0Z9A0İ8:7:Y2:CS$"THE WIDTH IS "W".":16:Y1:" ";:16:W}S5S Q=1 IS LENGTH? Q=2 IS PERIMETER?SQ11650SC40:S7:"WHAT IS ITS LENGTH?";"TH016:H9H08:V0Y11:V92L2)" = "(P)"."Ry1::?R"THE PERIMETER IS ";P;"."SR5:16:Y12:PYRR8:7:1:24:CF$;CS$"ARE YOU READY TO SOLVE A PROBLEM ";R14100RR51870R320R FINISH PROBLEM FOR LEVEL 1, CHECK ANSWERSR11000vSH016= "(L2)". "8Q<O$O$"THE LENGTH IS "(L2)".":1PQF5:16:Y11:L2:7QPO$"TO FIND THE PERIMETER, REMEMBER THAT IT IS 2W + 2L, "QZO$O$"SO THE PERIMETER IS "QdO$O$"2("(W)") + 2("(L2)")"QnRxO$O$" = "(2W)" + "( WIDTH IS "(W)". "$PM11280JPO$O$(M)" TIMES THE WIDTH IS "vPO$O$(M)"("(W)") = "(MW)". "|PPN01340P N11320PO$O$"1 METER MORE IS "P1330P(O$O$(N)" METERS MORE IS "Q2O$O$(MW)" + "(N)" O$"S"OO$O$". ":0OS70İ1:::1491[O FINISH SAMPLE PROBLEM AND SOLUTIONOO$ = O$ + "WHAT IS ITS LENGTH? WHAT IS ITS PERIMETER?": GOSUB 1: PRINT O11002:16:Y1:W:7OO$S$PO$O$"FIRST FIND THE LENGTH, GIVEN THAT THE[L21119$N\1:O$CS$"WHAT IS "HN]L2O$O$"AN EXPRESSION FOR "cN^O$O$"ITS PERIMETER?"jN_1{N`L1ĺ:1840Nj FINISH LEVEL 1 PROBLEMS AND SAMPLESNo1180NtO$O$"THE WIDTH OF THE RECTANGLE IS "(W)" METER"N~W11170OO$ THE LENGTH OF A RECTANGLE IS "-MN11060;MN11080QMO$O$"EQUAL TO "[M1090}M$O$O$"1 METER GREATER THAN "M.1090M8O$O$(N)" METERS GREATER THAN "MBM11110MLO$O$(M)" TIMES"MVO$O$" ITS WIDTH. "MXL1İ1140 NAGS AND COUNTERS FOR A PROBLEM'LfS70/LpQ08LzL9LALC40ILF0bL GENERATE PROBLEMlL3370L BEGIN PRINTING TEXTLM81:CP$;LS701010LO$P$L PRINT THE FIRST SECTION OF A RECTANGLE PROBLEMMO$O$"SUPPOSE THAT RECTANGLE PROBLEMSK7%K140203KR52840wK* S7 = 1 TO GENERATE SAMPLE AND SOLUTION, =0 TO PRINT PROBLEMK4S71K>880KHGOSUB 8: HTAB 1: VTAB 24: PRINT CF$;CS$"YOU SOLVE A PROBLEM.";: GOSUB 5: HTAB 1: PRINT CF$;L\ INITIALIZE FL12000FJ0O$"THE ANSWERS TO THESE QUESTIONS WILL BE JUST NUMBERS. "OJ:610JDO$O$"YOUR ANSWERS WILL BE SEVERAL ALGEBRAIC EXPRESSIONS. "JNL2610JXO$O$"THEN YOU WILL HAVE TO GIVE A NUMBER FOR THE FINAL ANSWER."Jb1:Jl766K 71 i7i1:24:CF$;CS$"TRY ANOTHER PROBLEM.";:5=i_i CORRECT ANSWER SUBROUTINEki8:C40}iJ9(R(5)1)i6:H84:V82284:H91373:V92384:H8,V8H9,V8H9,V9H8,V9H8,V8:2:23:3iJ93810,3830,3850,3870,3890j" RIGHTQ5h$Y23:1h.3140'h8Q10:Q00hBC40>hLL23690hhVO$O$"SO THE WIDTH IS "(W)".":1uhj5:8:7ho"WOULD YOU LIKE TO SEE THE SOLUTION OF THIS PROBLEM ";ht14100:1:Y2:CE$;h~C40:R523750hR51ĺCG$;:1:3695iSSWER, "R$", IS WRONG.":10g E51E50:34947g 8Wg 1:24:CF$;CS$"TRY AGAIN";bg R50:ng C40:8g 1:24:CS$"THAT'S STILL WRONG.";:5:1:24:CE$;g Z1Mg Z2Ng 4070g L$Z$g Z122Mg Z22Ng4070gM$Z$hQ1Q:3350 f 5f :f GENERATOR FOR RECTANGLE PROBLEMSIf* N(R(6))Zf4 M(R(3)1)kf> W(R(9)1)xfH L2MWNfR P2(L2W)f\ X$"X"ff fp WRONG ANSWERfz C41L13510f| C41L1ıf C41f 1:22:CF$:E51g O$"YOUR ANQ23260e L23260;e Y25:6);"PERIMETER";25);PLe 30:Y12:PVe Y27e O$"AN EQUATION FOR THIS IS "M$" = "(P)".":1e Q13ē2057(R$),(Y11)82200,Y182:36:Y1:W:Y28:3260e 30:Y1:W:Y28e Q53350f L23280CdD 6);CS$"LENGTH";25);L$:16:Y11:" ";:16:L$QdN Q13280bdX S7L23190db Y24:5);" PERIMETER";25);M$dd 16:Y12:" ";:16:M$dl 3210dv 5);" PERIMETER";20);"2";X$;" + 2(";L$;")"d 3260 e )".":1c 5:30:Y1:W'c 5:8:7-c ]c 1:24:CF$;CS$"READY TO SOLVE A PROBLEM ";hc 14100vc R51840c 770c RECAP SUBROUTINE, BY QUESTION AND LEVELc& Q =1,2,3 AND L = 2,3,4c0 6c: 6);"WIDTH";25);X$d? Q0O$"IN TERMS OF "X$" IS "!V10VuH!C5C51uR!M319100u\!M3.1M3uf!9100uz!J$"."8620u!C619300u!M319300u!M3.1u!9100u!L918670 t9570tF09330#tT$R$,tV105tV20=tF0FtF20Ot: C50XtD C60atN S91itX V0rtb M31tv (T$,1,1)"+"8340t (T$,1,1)"-"8390t S91t F21t (T$)18390t V2S9t F22t t IF21t J$(T$,I,1)u20Ds"I CAN'T UNDERSTAND THE WAY YOU HAVE":"USED PARENTHESES."LsF1Vs8040ds"8:1:20s,"YOU TYPED A SIGN IN THE WRONG PLACE."s6F1s@7890sJ8:1:20sT"YOUR ANSWER SHOULD NOT CONTAIN A":"PRODUCT OF VARIABLES."s^F2th41 r7870r(L7L61#r2L8L4-r<L6L47rF7780CrPL6L81LrdF10frnT$(R$,L71,L8L71)prx8160~rF08040rF227970rM1V108010rM1M2V1V2M1rM2V2M2rL6L17270rZ1Z1M1rZ2Z2M2r8040s8:1:qB(R$,J,1)"-"7550#qLS81-qVL4JFq`F1(L61L4)17970PqjF11Zqt7560aq~JqqL407610{qL8L7qL7L61qL6L8q7780qL4L17970qL4L67720qL617680qZ1Z1M1qZ2Z2M2qM10qM2S8r L6Lp(R$,J,1)"("7330"pL7J,p73403pJ@pJL6L1Yp(R$,J,1)")"7380cpL8Jmp7390tpJpL8L77930pL7L67450pL7L67760pL7L11p FIND 1ST SIGNpL40p$S81p.JL6L71p8(R$,J,1)"+"7510001:100005oXQ1:X60:X70:O$"":4620:2:Y12:1CoL11495oQ10:C40:H018:H922:V0Y12:V9V0:R0N:A0N.001:10000oZ10oZ20oF0oF10o M10oM21o*S81o4L61oH9570oRF08040ofL70opL80ozJL6L1 PRINT P1$;5nVTAB Y1 + 2: HTAB 3: REM PRINT P2$;KnS71İ4860:1440unXP:X60:X70:O$"":4620:2:Y11:1nY2:1:"READ THE PROBLEM CAREFULLY AND FILL IN AS MUCH OF THE TABLE AS YOU CAN." oQ9:C40:H018:H922:V0Y11:V9V0:R0M:A0M.J9401mS9(J810J9)-mS904380BmT$T$(F$,S9,1)QmF204430_m&T$T$"0"lm0L3L31vm:F21mDJ8J8S910J9mNJ9mXmB11:B2598(L3):B3279:B41008(L2):9mY1:15:"AMOUNT";:23:"AMT OF ";B$ nHTAB 2:Z104260l@(Z1)14200'lJJ8Z11lT4310>l^Z$Z$T$KlhZ$Z$X$ZlrZ204290il|Z204250ylZ$Z$" + "l4260lZ$Z$" - "lJ8Z2l4310lZ$Z$T$ll CONVERT FUNCTIONlT$((J8)):lF20lJ8(J8) mks1:24:CF$;CS$"WANT TO SOLVE A SIMILAR PROBLEM ";@kx14100NkR51870\kR52320fk3955k SUBROUTINE TO FORMAT Z1*X + Z2 INTO Z$kZ$""kZ104160kZ104140kZ204260kZ204140kZ$"0"k"k,Z$Z$"-" l6!" j3900 j" VERY GOOD!"*j3900?j " YOU GOT IT!"Ij3900\j" CORRECT!"fj(3900vj2" FINE!"j<1:1:5:C40:jF CHANGE LEVEL OR RESTARTjP7jZ1:21:CF$::CS$"THAT'S THE END OF THIS PROBLEM."jdS71770jn85VM )---- ?;;;;;; ) - ?;;;;;;;;;;???? ) -) - ;?;;;;;;;;;;;;?;;; ) -- ----- - ;?;;;;??;;;;;;;; ) - )   1:CE$;:I:6:H(H81)74:H(H2)2:HUH(HL1)7:HU2HU(HU2)2e:VV881:H,VHU,V:3:C:R51R52ĺCG$;:14020)61:CE$;:86 ANSWER X6HT(36)1:VT(37)1:MX15}6HT:VT:13100:"?";:HT13300:6 ? 6HT:VT:"?";:HT:13300:Ȇ7HT(36)1:VT(37)17HT:VT:CE$;:14000:R51R52ĺCG$;:14110 #77,VT81(HTHL)7,VT81:3:36YES/NO ET. AL.R6MX3:"?";:(36):13300:i6 PRESS RETURN 625:24:CE$;CS$"PRESS "CK$"RETURN"CL$;:XX(0):13200:25:CE$;:6 EXAMPLE 61:24:CE$;CS$"WOULD YOU LIKE TO SEE AN EXAMPLE: ";:140002:!D4R54:(R$,2)"/S"13392,N4R55:8P413396ER4:13394WT4216,0:12000mW4 PRESS ANY KEY wX4R$""]424:25:MX2:"PRESS ANY KEY";`4Z$b4(Z$"/"Z$"S")13420фg4R$R$Z$:R$;j4R$"/S"13370k413408l4 56:HT3 SINGLE CHARACTER INPUT -316368,0[3Z$:Z$"/"ĺ"/";:ZL1:MX2:13010:13310a3x3 YES/NO INPUT 3130003R$"":I1(Z$)4J$(Z$,I,1):J$" "R$R$J$ƒ4Iԃ4Z$"":FF(0)&4(R$,1)"Y"R51:04(R$,1)"N"R5"":13046 2Z$(Z$,1,(Z$)1),2ZLZL1K2(36):" ";:(36):13010o2ZLMXN932N996ĺCG$;:130103Z$Z$N9$:N9$;:ZLZL1:13010^3HUHSNB7:HU279HU279c3OP$;:0:HS(36)7:VS(1(37))81:K17:HS,VSKHU,VSK::6:OO$;:*.MU320).1::CD$"RUN MENU":A2 GENERAL INPUT x216368,0:Z$"":ZL0:HZ(36)1:HZ1:MX1);:HZ2N9$:N9(N9$):N93N927ij2N913130202N9(0)ǁ2MXZL);:؁2N98130502(Z$)0ĺCG$;:13010 2ZL1Z$0002'"'3450:C5C51:C51L1C50:E#'R9$"":HNH0:VNV0:10001W$':R5950,870*7:"READ THE PROBLEM CAREFULLY AND FILL IN AS MUCH INFORMATION AS YOU CAN."ހ*Y1:4:"WIDTH":4:"LENGTH":4:"PERIMETER"*B10:B250:B3279:B485:9'(R$)810014,'HNH00ĺCG$;:10002A'HNH01R9$""a'HNH01R9$(R9$,HNH01)'HNHN1:HN:VN:" ";:10002'HNH9((R$)40(R$)90)ĺCG$;:10002'HN:VN:R$; 'HNH9R9$(R9$,H9H0)R$:10002!'R9$R9$R$:HNHN1:1H9H01:" ";:E~'HNHN(HNH9)(H9HN)(HNH0)(H0HN):HN:VN:R$]~'(R$)27(R$)3ijr~'(R$)1310009~'Z$R9$:13310:R5610000~'Z9(R9$)~'(Z9R0Z9A0)R0A0Ė1:Y3:(6):H0:V0:I11H9H01:" ";::H0:V0:R9$:~'100182L1}%(R$,J6,1)" "9730C}%R$(R$,1,J61)(R$,J61,L1J6)P}%L1(R$)Z}%9680b}&J6h} &v}&8:1:20} &"YOU TYPED ONLY SPACES. ";}*&F1}5&}'H0:V0:BL1H9H01:" ";::H0:V0:HNH0:VNV0:R9$"":R$:10004~'H0:V0:I18:1:20>|:%O$"USE A LETTER FOR THE NAME OF A VARIABLE.":1F|D%F1L|N%Y|b%L1(R$)a|l%F0p|v%L109750|%(R$,1)" "9640|%R$(R$,2,L11)|%L1(R$)|%9590|%(R$,L1,1)" "9680|%R$(R$,1,L11)|%L1(R$)|%9640}%J690 {$9550{$8:1:20W{$O$"USE JUST ONE LETTER FOR THE NAME OF A VARIABLE.":1a{%9540o{%8:1:20{%O$"THE LETTER "R$" IS NOT A GOOD CHOICE SINCE IT LOOKS LIKE ":Z$"ZERO":R$"L"Z$"THE NUMERAL ONE"{!%O$O$Z$".":1{&%9540|0%GN IN THE WRONG PLACE."!zJ$9320/zT$8:1:20jz^$O$"YOU TYPED A DECIMAL POINT IN THE WRONG PLACE.":1rzh$F1zr$F0İ5zs$z$F0z$9570z$F09550z$L119460z$J1035z$R$(F$,J,1)9440z$Jz$9520{$R$"O"R$"L"94$! $%%#,ep% !Lp"% $`"H *+)hi#"H !*0+i+icH#c hc`"%$$%H hi#`$% b,c*+Md,cPMb*!0 +i+`%J) a+je *`PPPP򠥹͠0sL"$!e (' !!%##`e`" e$$ ",q0rs(!#L"L$a -  $    `L `,fPfA[8 & & &mg)mh e$*+Md$(Mb,cp ,bpP!pA* +i+Md$qr"s`,Ta@0,U`* L" zLB$!$$"% %L"b`f`f`,,Lҩb`@``cd` pLXcd`r$s%L$tc`d`f`e`Yc`d`L$e (' 8!$!$%",qL !%# !L5 (5`)`W L{ IHHH``F}"*?GOWrzFF*Q$``1  emgh` a` ,q0qai$r%s`@a`r$$hLcd`,qSia LL L$L$ B `t8967 ,R,W T ,P`ɭӠҠΠΠ ((*)  a+*HN OI*P,h*,H,_0ɛ_ ɍ $h`ɐ 6+_ pL L z 9996'''''88>999'>.>99>8'''88888:'''''?+++''''''''''>999>8.# 1>.'''''' 555?''''999>8??8<  <88& ?#+7>?99?99'''''''''''>>>'7''''?'''88888:''''''??+++++''''''''''''''''''>`'''''#<1>''''''''' 55555?'''''''''>?8 ?<< @888888 6$??? ' 9 #21'7'  -?-  >>@ >7/''' ?9889???<='''?''''99>890880>>>> 988 00>3>333300>33>333>0333 0003333 ?kkkc333333333>33>003063333>333 ckkk~3 3333>0? ?@@@@@@@@ ( >>>33?333333333???>;3333?333 3;3>'?+###37?;3333333333;>33303? 333333333 ##+?7#3 3!33 ? ?8p`>66$6   '<:9 *.  0 0*>* ??  >>`p83333>88<630?0333?0 33333>0>>>>>00?3    ---- -- - ?;;;?;;;;;;;;;;;;? - ) - ????;?;;;;;;;;;;? - -- ??;;;;? ---- ;;;;;;;;;;;;;;;;;?;;;; )-- - - --- - ?;;;;;;;;;;;;;;?;;? - - - - - - ?;;;;;;;;;;;;;?;;? - - ) - - - ?;;;;;;???;?;;; - - ) - ?;;;;;;;;?;??;;;? - ) - - - ?;;;?;?;;;;;;;;;;;;;;;; )----- ----- ?;;;;;;;;;;;; )---- ) ------ ?;;;;;;;;;;;;;;;;;;?;;; ) - - - ?;;;;;;;;;;;;;;;;;?;;;; ) - ) - ? ;?;;;????;;;;;; ) - ) -- - ;?;;;?;?;;;;?;;;;; ) - - - - ;;;;?;;;;;;;;??;;;;; ) - ) --- ?;;;;?;?;;;;;;;;;;;;;;; ) - ) - ?;;;;?;;;;;;;;;;;;;;;;JO$O$"AND YOU ADD "'JL11240DJO$O$(N)" LITERS OF "NJ1260`JO$O$"SOME "iJX60rJXQ1|J4620JO$O$". "J L31411J1:JXQ1:O$O$"HOW MANY LITERS OF "J(X62J2X70J<4620 KFO$O$" SHOULD YOU ADDM100IA2Q1N100!IXR(1)0IX.41030>IB$"ACID"HI1080WIX.81060hIB$"ALCOHOL"rI1080I$B$"ANTIFREEZE"I8IVS701140ItO$P$"SUPPOSE YOU HAVE "(M)" LITERS OF "I~XPIX61IX71I4620JO$O$", "805HH R90:1:24:CS$"WOULD YOU LIKE TO SEE AN EXAMPLE: ";:805:820bH%HY(36)1:VY(37)1{H*HY:VY:CF$;:14000H,R52R51ıH.CG$;:810H4CP$;:R52900HRS71H\910HS70HQ0HL9LHC40HF0H6030IA1PHE ANSWERS TO THESE QUESTIONS WILL BE":"JUST NUMBERS."@GN630GXCP$:5:O$"YOU WILL HAVE TO ANSWER WITH SEVERAL ALGEBRAIC EXPRESSIONS. "GbL2630GlO$O$" YOU WILL THEN HAVE TO GIVE A NUMBER FOR THE FINAL ANSWER."Gv1:800:CP$;:820H HINTS."/F:"5. RETURN TO THE MAIN MENU."ZF1:24:CF$;CS$"CHOOSE ONE OF (1-5) ";FMU0:14000:MU1:(R$)0ĺCG$;:456FL(R$):L1L5L(L)ĺCG$;:456FL2Y19:Y215:Y319FL59999FL580,600,600,580,99987GDCP$:5:"TE|HE"2. SETTING UP EXPRESSIONS WHICH":" CONTAIN VARIABLES ";E"FOR EACH OF THE":" QUANTITIES IN THE PROBLEM."EE"3. SOLVING COMPLETE PROBLEMS, GUIDED":" BY HINTS."EF"4. SOLVING COMPLETE PROBLEMS WITHOUT":" S ABOUT MIXING SOLUTIONS."$D::mD"TO END A SESSION EARLY, ENTER /S":"IN ANSWER TO ANY QUESTION. ";xD14010D@CP$:3DTDWM80D^"THE FOLLOWING LEVELS OF DIFFICULTY ARE":"AVAILABLE:"DhDr"1. PROBLEMS WITH ONLY NUMBERS."M01:M940:M84&CY18:Y214:Y3191CP(40)^CF$"123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ"sCP$"PROBLEM: "CS$"SOLUTION: "CCP$:3CCK$"SOLNS: "CS$"A PROGRAM FOR DRILL AND PRACTICE":8);"SETTING UP AND SOLVING WORD"D8);"PROBLEM9(((X9)))(B (X9)1X90T9T917B T9:X9;:MBT9T9(((X9)))hB(X9)1X90T9T91nBBdCS$(19):CP$(16):CK$(11):CL$(12)BxCD$(4):CE$(5):CF$(6):CG$(7):ZL$(26)CL$BzH41:V410:H540:V523BR(X)X(1)C" ")NPTP5:LOOP:LM);(HM$,TP,NPTP1):TPNP:SWM9M0M8:LMM0M8::TA14010A40:Y21:(23);:1:Y1:(6);:1:Y1:(25);:A40:Y31:(23);:1:Y2:(6);:1:Y2:(25);:A1:Y3:(6);:A B1,B2B3,B2B3,B4B1,B4B1,B2: B T9TF@:3:6146:16302,0:100M@SWM9M0:LMM0:(O$)SWĺLM);O$:O$"":{@SWM9M0:LMM0:(O$)SWĺLM);O$:O$"":@HM$O$:TP1(HM$):NPTPSW:NP(HM$)ĺLM);(HM$,TP):TPNP::O$"":HM$"":XX(0):IALOOP11:NPNP1:LOOP((HM$,NP,1)             !!! ! ! ! ! !!!!!!!!!""" " " " " """""""""     > <"<"""<< <"""<"><$""< """"  "" 6***""""""""""<""< :< $"""2,"""""**6"""""< >>8  80,"*:<"">""""""""""""">>><2"<""">""" ""  ">"6**"""""&*2""""""""""""*,"" "" ">""""""""""""""**6"""""""> >>> >00000>">>< (&20 *, **>> "2*&" " >>  ">> "8""> """"""< >> "?Z O$O$" IS TO BE PURE "B$". WHAT IS AN EXPRESSION FOR "NZ O$O$(R)hZ O$O$"% OF "V$" "pZ Q6Z S713470Z 1Z Y14:2:R;"% MIXTURE";Z H028:H939:V0Y14:V9V0:R0999:A0999:10100Z* R539790Z4 7100[> F1İ5640:YY 1YZ PRINT+Yb S71R9Q:R81:48602Yl 5@Y L36370JY 8:7RY Q5Y O$"YOU NEED A SECOND EXPRESSION FOR THE AMOUNT OF PURE "B$Y O$O$" IN THE FINAL MIXTURE. YOU KNOW THAT "Y O$O$(R)Y O$O$"% OF THE FINAL VOLUME "V$030X O$O$L$" "S(A1V2).001İ5600:2190HS6230RS2310\S4240bS|S S71R92:R81:4860S$ 5S. Q7Q1S8 Q8NSB Q3SL 8:7:SQ SV O$"WHAT IS "S` L12430Tj O$O$"AN EXPRESSION (IN TERMS OF "X$") FFINAL MIXTURE."R1R6R S71R91:R81:4860=R5FR>Q7PORHQ8MWRRQ2aR\8:7tRfO$"WHAT IS "~Rp4100RzS712280RO$O$"?":1RX9MP:T934:15:H0T9:H9H06:V0Y11:V9V0:R0999:A0999:10100RR8070 SF1İ18'QvO$S$" "(M)" LITERS PLUS "5QL11950DQO$O$(N)NQ1960_QO$O$X$" "QO$O$" LITERS GIVES A TOTAL OF "QL12000QO$O$(MN)Q2050QZ11QZ2MQ6510QV$Z$QO$O$V$" "RO$O$" LITERS OF THE PL11800P8070,PF0İ5640:1730LP(MNV2).001İ5600:1730VP1860`P7100uPF1İ5640:1730PF2İ5600:1730P&(Z11).001İ5600:1730P0(Z2M).001İ5600:1730P:V$R$PD6230PN2070PbO$O$"?":1Ql5:1:909OO$O$"AN EXPRESSION (IN TERMS OF "X$")"" FOR "kOO$O$"THE TOTAL VOLUME OF THE FINAL MIXTURE"sOQ1OS711890OO$O$"?":1:OC40O2:Y13:"FINAL MIXTURE";OH020((MN)):H9H04:V0Y13:V9V0:R0999:A0999:10100 "!NO$O$"FOR THE AMOUNT OF "*NXQ13NX60=N"4620\N%S70O$O$"."(13)(8)pN&S70O$O$"?"wN)1N,S71İ5:1660N6H018:H9H04:V0Y12:V9V0:R00:A00:10100NJ9350NTF01495N^X$R$N|7:O$"WHAT IS "OL116V0:R0N:A0N.001:10000M,MF01470;MC401490IMQ01660xMQ2070,2310,2640,3180,3180,3600,3720,4050ML11660M7MS701530MO$"LET "X$" STAND "M1540NO$"WHAT VARIABLE NAME (LETTER) WOULD YOU LIKE TO CHOOSE:2:Y11:1dLY2:1:"READ THE PROBLEM CAREFULLY AND FILL IN AS MUCH OF THE TABLE AS YOU CAN."LQ9:C40:H018:H922:V0Y11:V9V0:R0M:A0M.001:10000LXQ1:X60:X70:O$"":4620:2:Y12:1LL11495MQ10:C40:H018:H922:V0Y12:V9 TO GET "KPXRKZX61#KdX71-Kn4620;KxO$O$"?"VK(1S7)L4FG0:3890fKL3İ16000pK1:5KB11:B2598(L3):B3279:B41008(L2):9KY1:17:CS$"AMT";:23:CS$"AMT OF ";B$KS71İ4860:1440 LXP:X60:X70:O$"":4620"("V$")"jR9QjR80#j)j 6j5:8:7j 1:23:CF$;CS$"WOULD YOU LIKE TO SEE THE SOLUTION OF":"THIS PROBLEM ";j*660:1:23:CF$;j4R515970jHR52820jMCG$;:5920jRS71j\Q0jfC40jl1:Y11:(6);:1415 kPHAT'S STILL WRONG.";:5910Xi+O$"THAT'S STILL WRONG. THE CORRECT ANSWERS ARE:":1:ai0Z11ji:Z2MtiN6510iXZ1Q1100ibZ20il6510ivL$Z$iZ2A1i6510iK$Z$iZ10iZ2R100i6510iY$Z$iL1(Y$)1 jY$Y$HE ANSWER IS ";N;" LITERS OF ";IhJXQ1:X62:X71:O$"":4620:1:".":Oh|Zh8:F0ihC415670rhC41hHX(36)1:VX(37)1:CF$;CS$"YOUR ANSWER, ";R$;", IS WRONG. "hQQ1h1:24:CF$;CS$"TRY AGAIN.";h5:i&1:24:CF$;CS$"T5320g(K$)105310"gK$;,g5320:g" ";K$;@gOgR955500fg2:R;"% MIXTURE";tg16);V$;gR965380g25);Y$;ggR975500gg""THIS GIVES THE EQUATION:"::" ";K$;" = ";Y$g,R985500g6 h@"TL15120fX9A2:T930:10&f51608f(L$)35150Af L$;Kf5160Wf" ";L$]f(lf2R905500f<2:"FINAL MIXTURE";:17fFL15220fPX9MN:T920:10fZ5230fdV$;fnR945320fx25fL15280fT930:X9A1A2:10g$""eV4620:O$CS$O$(eW2:Y11:1Ae`Y11:X9M:T920:10PejR924990detT930:X9A1:10pe~PRINT yeXQ1eO$""e4620e2:Y12:1eY12:18eL15060eX9N:T920:10e5070e" ";X$;eR935160e30fd4760dO$O$"THE "-dO$O$(X)"% "=dX714790NdO$O$B$" "cdO$O$"SOLUTION"md4820dB$"ANTIFREEZE"O$O$"PURE "B$:dO$O$"'PURE "B$"'"dB$"ACID"O$(O$,1,(O$)1)"' "ddDL1500:e.XP:X60:X70:OITERS IS "(Q7100)X$:1:+cZ1Q71004cZ20>c6510HcL$Z$Nc\c X04650ucO$O$"'PURE WATER'"c 4820c*X1004805c4X614690c>X624750cH4760cRX804730c\X854730cfO$O$"A "cp4760czO$O$"AN "04530bDO$(Q7);bNO$O$"% OF "(Q8)" LITERS IS "ObXO$O$(Q7100)kbbO$O$"("(Q8)") = "|blX6Q7Q8100bvX6(X6)4500bO$O$(X6)b4510bO$O$(X6)bO$O$" LITERS OF "B$:1:b4580cO$(Q7)"% OF "X$" L04350aQ71004410;aO$"PURE "B$" IS 100% "B$Ba1Ha|a"100% OF ";Z$;" LITERS IS 1.00";R$;" = ";Z$a1(Q80)4580,4540a"PURE WATER IS 0% ";B$a&"0% OF ";Z$;" LITERS IS 0";R$;" = 0"a01(Q80)4580,4540b:Q8" IN "`Q710041707`XQ7:X62:X70:4620:4220F`JQ804200Z`TO$O$" "(Q8)d`^4210u`hO$O$X$" "`rO$O$" LITERS OF PURE "B$`|`O$O$"?":1``O$S$" "`1:`Z$X$:R$X$:Q80Z$(Q8):R$"("Z$")"aQ76370_O$""İ1#_5:8:7__O$CS$"SOLVING THE EQUATION :":1::7);K$;" = ";Y$_:"GIVES";7(K$));X$;" = ";N_5_IF S7 = 1 THEN GOSUB 8: GOSUB 7:R9 = 8:R8 = 0: GOSUB 4860: GOSUB 5_6370`O$O$"THE AMOUNT OF PURE "B$R ^X61^ 4620#^O$O$"?"+^Q8:^S713991B^2Q8O^31:5:1^<H05(L2)6:H939:V018(L2)11:V9V0:R0999:A0999:10100^FFG1^PL91^Z8070^dL9L^nF0İ5640:7:3900^x(NV2).001İ5600:7:3900^6230:5_ATION:" ]Y%]`10);K$;" = ";Y$+]c`]j"NOW YOU MUST SOLVE THIS EQUATION FOR ";X$;"."j]t3870s]R97|]R81]4860]5:8:7]O$"HOW MANY LITERS OF "]XQ1]X62]X70]4620]O$O$" SHOULD YOU ADD TO GET "^X$O$"% OF "V$\ 18\ O$"IS "Y$" LITERS OF "B$A\ 1:[\S71R9Q:R81:4860c\8Q7p\B5:8:7\LO$"YOU NOW HAVE TWO EXPRESSIONS FOR THE AMOUNT OF PURE "B$]VO$O$" IN THE FINAL MIXTURE. ":1::"SETTING THESE EQUAL GIVES THE EQU3360[H F2İ5600:3360<[R (Z1R100).001İ5600:3360`[\ (Z2RM100).001İ5600:3360j[f Y$R$t[p 6230~[z 3600[ O$O$"?"[ 1[ 5:8:7[ O$S$(13)(13)[ O$O$(R)[ Z10[ Z2R100[ 6510[ Y$Z$"("V$")"\ OE COEFFICIENTS BEFORE VARIABLES.":1:0z#9320>z#8:1:20z#O$"YOUR EXPRESSION SHOULD NOT CONTAIN A PRODUCT OF VARIABLES.":1:z#F2z#9330z#8:1:20z$O$"I CAN'T UNDERSTAND THE WAY YOU HAVE USED PARENTHESES."z$1:z$9320 {$ES A VARIABLE.":1:y#9030,y(#V09030:y2#8:1:20xy<#O$"YOU DO NOT NEED TO TYPE ZERO TIMES A VARIABLE.":1:yF#I(T$)9330yP#S9S8yZ#V0yd#M31yn#C50yx#C60y#II1y#I(T$)8810y#8410y#8:1:20&z#O$"PLEASE WRITJ$"("9240xV"9210&xj"M3188304xt"V10M3VFx~"C5C608860Ux"M319300_x"9270nx"C618910}x"V2S9VV2x"9030x"C508950x"V1S9V1x"9030x"V1S9VV1x#V19000x #8:1:20y#O$"YOU DO NOT NEED TO TYPE 1 TIMwz!J$"."8620!w!C6193000w!M319300:w!M3.1Dw!9100Sw!L918670ew!J$"L"9240sw!I(T$)1}w!8810w!J$X$8720w!C619170w!C61w!9100w"J$"+"8750w"S81w$"8810w."J$"-"8780w8"S81wB"8810 xL"1 v F21v (T$)18390&v V2S9/v F225v @v IF21Qv J$(T$,I,1)\v J19tv J$(F$,J,1)8480v!C619140v !V10VJv!8520v !Jv*!J$"0"8570v4!C619140v>!V10VvH!C5C51vR!M319100v\!M3.1M3wf!9100OUR ANSWER SHOULD NOT CONTAIN A":"PRODUCT OF VARIABLES.";Bu^F2OuhF0İ5Uui_u9570muF09330wuT$R$uV10uV20uF0uF20u: C50uD C60uN S91uX V0ub M31uv (T$,1,1)"+"8340u (T$,1,1)"-"8390v S9Z1Z1M1tZ2Z2M2!t8040*t8:yt1:20:CF$;CS$"I CAN'T UNDERSTAND THE WAY YOU HAVE":"USED PARENTHESES.";tF1t8040t"8:t,1:20:CF$;CS$"YOU TYPED A SIGN IN THE WRONG PLACE.";t6F1t@7890tJ8::uT1:20:CF$;CS$"YM1sZ2Z2M2sM10#sM2S8/s L6L419s7870Es(L7L61Os2L8L4Ys<L6L4csF7780osPL6L81xsdF10snT$(R$,L71,L8L71)sx8160sF08040sF227970sM1V108010sM1M2V1V2M1sM2V2M2sL6L17270 tS81r.JL6L71+r8(R$,J,1)"+"7510DrB(R$,J,1)"-"7550OrLS81YrVL4Jrr`F1(L61L4)17970|rjF11rt7560r~JrL407610rL8L7rL7L61rL6L8r7780rL4L17970rL4L67720rL617680sZ1Z1qRF08040qfL70qpL80+qzJL6L1Dq(R$,J,1)"("7330NqL7JXq7340_qJlqJL6L1q(R$,J,1)")"7380qL8Jq7390qJqL8L77930qL7L67450qL7L67760qL7L11q FIND 1ST SIGNqL40r$Z$Z$T$pJ5XJ5(pJ5.00169106pZ$Z$"."NpJ5(100(J5.001))Xp6930epZ$Z$T$kpupT$""~pF20p&J8(J5)p+T$(J8):7070ppZ1 COEF OF X$pZ10:Z20:F0:F10:M10:M21:S81:L61p>STRIP SPACESpH9570 J5XJ5oJ5.0016740)oZ$Z$".":o"J5.16710Ho,Z$Z$"0"`o6J5(100(J5.001))jo@6930woJZ$Z$T$oTZ$Z$X$o^Z206910ohZ206790orZ$Z$" - "o|6800oZ$Z$" + "oX(Z2)oJ5(X)oJ506850o6930 p660nR51R52:8200nR52ĺCG$;:64009n(320CnnZ$""RnxZ106600anZ106580pnZ206800nZ206580nZ$"0"nnZ$Z$"-"nZ106800n(Z1)16740nX(Z1)nJ5(X)nJ506660n6930nZ$Z$T$ o0m" VERY GOOD!"m63504m" YOU GOT IT!">m6350Pm" CORRECT!"Zm6350jm" FINE!"pm{m8:7:m5:CP$:1:10:CS$"THAT'S THE END OF THIS PROBLEM."mS71800m8:1:24:CF$;CS$"SOLVE ANOTHER PROBLEM LIKE THIS ";n 0 lT91l$NT9(RP)+l.MT9(RQ1)6l8X$"X"