' +JJJJ ?\>m0M='+l> /+l   d']6@5L&]655]6LF%5 & "L}"BB5L&]6 X  `6 77777777777JJJJx 77L? L7877777777 776i 7 7867 7`77 777777`x =(`(8`5775I7`B` 76`77`>J><;VU<)?<`8'x0|<&HhHh 8 8 8 8V&` aI꽌ɪVɭ&Y:&<&Y:&;: 꽌ɪ\8`&&꽌ɪɖ'*&%&,E'зЮ꽌ɪФ`+*xS&x'8*3Ixix&& 8 9: :' 9: :& :x)*++`FG8`0($ p,&"ųųೳŪŪųųij  !"#$%&'()*+,-./0123456789:;<=>?8  1 '" *"( (9"1 ( ,.(0# 2  /#0/#0 *?'#07#000'#07#0:"4<*55**5*%5)1)1)1)'#0/#0*5*75**5*:5/#0/#0'#07#0:::*::'#07#0"):$(%"%:$(%"%$$2%4%$$2%4%$(2()!)E(!8b $!H(+ "@H !D)"E` @ $ C ` DQ &J80^݌Hh < <݌ < < h < < < <`HJ>݌h Hh݌`葠葠ȔЖȔЖȠHIHHHHhHH݌hHhHh݌H6 (G FG HZXj 80x D9$xxH` >( Z>h Z>L=.xxH >hh@(LH>9L>HH/Hh/ H?-З( 8(& 8$8 H` *8HNx`* >x$50x*$50xL9JJJJ`HHjf5 >h $50x`HA>VD;;P >(ED Z> ?$0x8x D9- 8DD# H8`?E Vˆʎ55L $ 5 55555 &a*5`*5` "L&5_*b*JL%u**Lz%`** $  Q(lXJ̥KlV $  Q(lV eօ3L e3L &%R*L &%Q*L d' "L4% N'e*)n*5 5 &`@-e*f*f* 5 "L# "5f*`L %.* *t*Q*L$ %L&*L` "O**P**u** d' "L% N'e*)n*o*o*n* &8ɍ` ^&f\*555L& ^&NR* & "R*ΩL&)\*Z* ʽ LH*v 3h`0h8` " ['L & N'С55 &5`*A*@` +5L^6L65`  \* ?*0 '\* '  Q( ^&\*lZl^?*c*q)H c*h`f*5h*5j*555@O*AP*`u*@`@5&`Q*R*`E 'Ls' ' ' @DAE@u*`8` %@ @A@`@`**@*A`M5 ) "L&`8@AW*c*@8@-@HAȑ@hHȑ@ȑ@hHȑ@Ȋ@c*h8&ȑ@Hȑ@Ah@L'Hȑ@ȑ@* htphso`hMhL`9V*8U*897T*6S*67`INILOASAVRUCHAIDELETLOCUNLOCCLOSREAEXEWRITPOSITIOOPEAPPENRENAMCATALOMONOMOPRINMAXFILEFINBSAVBLOABRUVERIF!pppp p p p p`" t""#x"p0p@p@@@p@!y q q p@  LANGUAGE NOT AVAILABLRANGE ERROWRITE PROTECTEEND OF DATFILE NOT FOUNVOLUME MISMATCI/O ERRODISK FULFILE LOCKESYNTAX ERRONO BUFFERS AVAILABLFILE TYPE MISMATCPROGRAM TOO LARGNOT DIRECT COMMANč$3>L[dmx- (   խŠ734@~3!+,W,o,*--,,9,-.-~3~3,,,,~3~3,,,,~3_*3 j.5 *H*H`Lc3 (+L3 +55555 1^3_* )3J Q*L_3Ls3443 D23455545554 70 / 7 :/354545455454555535L^/5-5I5555 55` / 4/ 2-5! / 08555454 70L3 (+50+5B5C3 2 70L35 *H*H`Lg3L{3505 *H*H` 3 ,5L3 3 1 ,H 1hBL, 0 BH [1 1h`Lo3 35 ,L3 3 1B , 1L,H 0hB@ 55 [1L133 (+34) 34 70L3 3L3 (+ 055L- (+34L{33454445 70 ^/* / 3B0 HȱBh -355 -8 /L38 25` +5 /3 /. /. 3 E7D B. /. /. 0]34S0J4 4) 3 4D4E B. 4  /. 02L3 Ν3 3`HD٤33DEEhiHLG.h ` /5B5-` /5B-` + X05I33383 33DH /4 E03744Ȍ7 X040 7 J7L35B5C`,5p` / R0-55`50` K/ R0-55`575755` 4/ K/ /( 55L/BȱBL/58` D2BH5BH :/ 75Bȭ5Bhh55 R0B5m55ȱB5m55` /LR0557755`*7*75LR0 E0(33 48`433 R0` E033LR0*7*7`777 555I7575757577** 7757`7 L35555f /55555555 ^/`855 i /B58` 41L 15ȱB5 /5555 /5`3 D23ȑB55B5 / 7 55`5555555555 5555`555`55BC55`5555`L3 /5B5C355 0Q340"B4 3` 02۰Ϭ33B438`3i#`3ЗLw35!50>5555`53 /3m3 3 3733i35 3583 /35ЉLw35`H /5h 25L/~43 533`55555555J5m55m5jn5n5n5ۭ55m5555m55m55`"L? 585H ~.(3` # d ֠z# u*`11ER$"DOS Syntax Error":CS$"Program Error":2000y T1%12ER$"No Buffers Available":SG$"Try ReBOOTing Disk":2000 T1%13ER$"File Type Mismatch":2000 T1%14ER$"Program Too Large":CS$"You May Not Have A 48K System":SG$" Try Rebootinged":SG$"Try ReBOOTing Disk":2000 T1%9ER$"Disk Full":CS$"Additional Files Saved On Disk":SG$"DELETE The Additional Files":2000 T1%10ER$"File Locked":CS$"Data Files Have Been LOCKed":SG$"UNLOCK AM1.PROGRESS And AM1.ERR":20003 T1%r of operations.":38321,0:n)XH1%10:H2%259:V1%36:V2%136:220:I24516142:H2%I:V1%52:V2%80:220:I)[38321,128:6:3:36):11:"CONCEPT"8)"RIGHT WRONG":I717:I:38:" ":I:I1821:I:3:36):I)\38321,0 *]I15:I26:3:B$M1$I:m(H1%10:H2%259:V1%36:V2%40:220:V2%72:V1%100:220:38321,128:J69:J:3:36):J:17,39265,39(6:3:"Find the value of the expression":3:"below by replacing the variables":3:"by their assigned values and by")3:"using the orde230:AL%(J64);",";:J::3:970:19'z37894:3:"WHAT IS THE VALUE OF THE ABOVE":3:"EXPRESSION?":J15:ST%J:980:J:VT%20:HT%15:MX%5:390'AN%E2%(0)TH%:B$"WRONG. ANSWER IS "(AN%):AN%(TP$)B$"RIGHT":C%(5)C%(5)1(21:5:B$:300:&3:"value. Evaluate the term and enter":3:"its value into the box to the right."e&38321,0:&|N%R(8)1:A$(R(26)64):B$(R(26)64):&pI15:700:6025:960%'u14:3:"THE VARIABLES HAVE THE VALUES:":3:55,127:J65AL%:(J);:N%5::B$:300:I:%700:H1%10:H2%259:V1%36:V2%40:220:H2%126:V1%108:V2%64:220:H1%143:220:38321,128:6:J69:J:3:36):J%14,39265,39:6:%5055:6:3:"In the left box a term is shown and":3:"each of its variables is assigned a"VN9%R(2)1:AN%N8%N7%N9%:N8%A$" ";:N%5:230:"?":37894:19:9:N9%:5045$AN%(N8%N7%)2:TP$(N8%)A$:260:" ";:N%5:230:"?":37894:19:13:2$HT%23:VT%19:390:B$"NO. ANSWER IS "(AN%):(TP$)AN%B$"RIGHT":C%(4)C%(4)1%21:22%T2%T3%:600:15:4:625:T1%T2%1:T2%N1%:19:4:625:K#I15:5065#15:22:"WHAT IS THE VALUE":22:"OF THE EXPRESSION":22:"TO THE LEFT?"#N7%R(5):A$(R(26)64):15:3:55,127:N8%R(4)1:A$;:N%5:230:N7%:19:3:" ";O$R(4)14:625:TP%T1%(1):T1%(1)T1%(N1%):T1%(N1%)TP%:19:4:625:"T2%R(2)2:T1%1:N1%T2%2:600:15:4:625:T1%T2%1:T2%N1%:19:4:625:"N1%R(2)2:T1%1:T2%N1%:600:15:4:625:T2%R(T2%1):19:4:625::#T1%1:T2%R(2)2:T3%R(T2%1):N1"HOW ARE THE TWO":23:"SETS RELATED?":J14:23:"<"J"> "T3$(J):J!AN%R(4):AN%4030,4035,4040,4045:MN%1:MX%5:B$"NO-"T3$(AN%):420:19:37:CH%:CH%AN%B$"RIGHT":C%(3)C%(3)1!21:23:B$:300:I:="N1%R(4)1:T1%1:T2%N1%:600:15:V2%24:220:H2%126:V1%84:V2%88:220:H1%143:220:N2%9:N3%1:14,39265,39:700 38321,128:J67:J:3:36):J:6:3:"Compare the two sets in the left box" 3:"and determine their relationship":19:23:"WHICH (1-4) ??":38321,0E!12:23:3:"What is the absolute value of "N%" ?" 38321,0:14,111265,111:MX%3:HT%4:VT%18:390:B$"WRONG. CORRECT ANSWER IS "((N%)):(TP$)(N%)B$"RIGHT":C%(2)C%(2)1 38321,128:20:4:B$:38321,0 300:I:R I15:H1%10:H2%259:V1%36:0 N2%(R(8)4):21:0:N9%0:I202(N2%1):N1%I2239(N2%2)24:N1%,64N1%,70:I2:N%R(N2%2)1R(2):N1%(N%N2%)239(2N2%)24 N1%,48N1%,61N1%3,57:N1%,61N1%3,57:12000:(TP$)N%3030) 38321,128:I21517:I2:3:36):I2:16:AN%2:G(2)N3%N3%R(N3%)%H G(2)AN%1:N3%N3%R(N3%):i%AN%2:G(2)N3%N3%G(N3%)o*/G(2)AN%1:N3%N3%G(N3%):2AN%2:N3%N3%R(N3%):>G(2)AN%1:N3%N3%G(N3%):CAN%2:N3%N3%R(N3%): I15:700:1%2:420:ESC%İ710YCH%;" ";:38321,128:B$"WRONG":CH%AN%B$"RIGHT":C%(1)C%(1)1kB$:300:I:AN%1:G(2)AN%2:N3%N3%R(N3%)(1G(2))AN%2:G(2)AN%1:N3%N3%R(N3%)(1G(2)) G(2)AN%1:N3%N3%R(N3%):THIS STATEMENT";:22:"<1> TRUE":25:"OR":N%R(4):500:N8%N%4:N%510,511,512,513:520:N%R(6):N%2045,2055,2065,2080,2095,2110:N3%0N%N8%:20202):N%N%4:240:" "N3%;:22:"<2> FALSE"::38321,128:22:"WHICH?";38321,0:MN%1:MXJ79:J:3:36):J:7:3:"Determine whether the comparison":3:"between the two numerals in the left"3:"box is true or false.":38321,0:14,47265,47H1%10:H2%259:V1%44:V2%32:220:V1%124:V2%48:H2%126:220:H1%143:220?17:3:"IS Reduction"TH%1000:10000I115:38321,128:2:9:"POST TEST: Problem #":20(M1$(I1))2:M1$(I1):38321,0:C%(I1)0I12000,3000,4000,5000,6000:I17000 26:80:22000:(4)"RUNALGEBRA MODULE 1"iI15:700:38321,128:(1)"EQUAL":T3$(2)"EQUIVALENT":T3$(3)"SUBSET":T3$(4)"NO RELATION"aTP%(16),EV%(16),E2%(16)vG(N)((1)N) M1$(5):M1$(1)"Definitions":M1$(2)"Number Line Operations":M1$(3)"Sets":M1$(4)"Evaluating Expressions":M1$(5)"Rules For EquationE2%(P2%)EV%:995EV%3P2%P2%1:N8%EV%(I91)TH%:N7%EV%(I91)TH%:EV%920,910:E2%(P2%)N9%TH%:I9I91:EV%(I9)N9%TH%:995E2%(P2%)EV%I9:P1%P2%:I90P1%:EV%(I9)E2%(I9):I9:20000:37894R(N)((1)N)1DT3$(4):T3$I92)920,910,940:I9I94:E2%(P2%)N9%TH%:995EE2%(P2%)EV%:995EV%22P2%P2%1:E2%(P2%)(EV%(I91)TH%)2TH%:995E2%(P2%)EV%:995EV%3P2%P2%1:N9%((EV%(I91)TH%)(EV%(I91)TH%))TH%:E2%(P2%)N9%:EV%(I91)N9%:I9I91:995EV%64EV%80ĺ(EV%);:978/N%EV%:2309I9:P2%1:AL%0:I90P1%:P2%P2%1:EV%EV%(I9):ST%982,984,986,988,990EV%64EV%80E2%(P2%)EV%:995E2%(P2%)AL%(EV%64)TH%:995/EV%11N8%EV%(I91)TH%:N7%EV%(I93)TH%:EV%(%:EV%(P1%3)R(3):AL%AL%1:EV%(P1%4)AL%:EV%(P1%5)12:P1%P1%5:EV%12EV%5AL%AL%((1)2(AL%3)):P1%P1%1:EV%(P1%)AL%961I90P1%:EV%EV%(I9):EV%80ĺEV%TH%;:978EV%22Č37894:PK%(37):PK%:"2 ";:55,127:37,PK%:978EV%EV%(P1%):P1%10āI91AL%64:AL%(I9)R(3):I9:(EV%64EV%12)EC%2R(2)2P1%P1%1:EV%(P1%)22:EV%22:EC%EC%1(EV%20EV%12)P1%P1%1:EV%R(3(MC%2)):EV%(P1%)EV%:EV%3MC%MC%1JEV%4R(3)3EV%(P1%1)11:EV%(P1%2)ALJ:805 *J:T1%(I5)N4%:I5:2/T1%1:T2%N1%H4A$" ";:N%5:2409N%15:240:I5T1%T2%1:T1%(I5)",";:I5:T1%(I5);:N%16:240:N9%N8%N7%:N9%N8%N7%:N9%N8%N7%:N9%N8%N7%:AL%65:P1%0:EV%(0)AL%:EC%0:MC%08PCPC1:PK%128714:16368,0:PK%155PK%205ıD724O:722[63900mPK%1551090w1026A2$A1$:A1$(R(26)64):A1$"O"A1$"I"A1$"S"A1$A2$750 I51N1%%N4%(1)N2%N3%:J0N1%1:T1%(J)N4%J100:T1%(I5);:N%16:240:HvN1%R(4)2:N2%R(10)N1%:N3%R(10)1R(2)a{A$(R(26)64):60038321,128:PC%PC%1:2:29:PC%:38321,0:PK%(16384):PK%155(C%)ı16368,0:PC0:P9%40:D9%40PK%(16384):PC250(PC250)İ1021:N6%" ";:N%BR%1:521:G&N1%R(9)1R(3):N2%R(9)1R(3):UXI51N1%]N4%(1)N2%N3%:J0N1%1:T1%(J)N4%J100:J:605bJ:T1%(I5)N4%:I5:gT1%1:T2%N1%lA$" ";:N%5:240qN%15:240:I5T1%T2%1:T1%(I5)",";:I5:N1%N2%:N1%N2%N3%İ500:513$@N1%" ";:521:N2%;:b N%((36)2)73,(37)84: N%BR%:N4%;:521:" ";:N%O1%:521:N5%" ";:N%BR%1:521:" ";:N%O2%:521:N6%: N4%" ";:N%O1%:521:" "N5%;:N%BR%:521:" ";:N%O2%:5 N1%R(9):N2%R(N1%):f N4%R(9):N5%R(N4%):N6%R(N5%):O1%R(3):O2%R(3):BR%R(3)29 O1%2((O2%2N4%N5%N6%0)(O2%3N4%N5%N6%0)(O2%1N4%(N5%N6%)0))501  N3%N1%N2%: N3%N1%N2%: N3%N1%N2%:N3% (P1%48P1%45)392N HT%PS%:(P1%);:PS%PS%1:TP%(PS%)P1%:PS%MX%392 TP$"":I31PS%:TP$TP$(TP%(I3)):I3:HT%PS%:MX%1PS%):: PK%(16384):710:PK%128420 16368,0:PK%155CH%0: CH%PK%176:CH%MN%CH%MX%420 PS%0:VT%:HT%PS%:MX%)K 38321,128:HT%PS%:(TP%(PS%1));:38321,0o P1%(16384):710:P1%128394 P1%P1%128:16368,0:P1%13410 HT%PS%:(TP%(PS%1)); P1%8PS%PS%PS%1:392 P1%21PS%MX%PS%PS%1:392 P1%573:P8$:P8%:55,127:6 N%11:230:TP$;:N%12:230 ,23:2:38321,128:"** PRESS TO TURN PAGE. . .":16368,0:7,175272,175 /PK%(16384):710:PK%128303 116368,0:PK%160303 4206: I3113:TP%(I3)32:I3:38321,0:B$;" ";:220K H1%,V1%H1%H2%,V1%H1%H2%,V1%V2%H1%,V1%V2%H1%,V1%:| H1%(36)7:V1%(37)88:1):N%H1%,V1%: H1%(36)73:V11%(37)84:2):N%H1%,V1%: H1%(36)73:V11%(37)84:2):N%H1%,V1%: 37894:(37):P8%(36)c' 2790324576#63900@(4)"BLOADEWS.ROUTINES"G3d3:1:0:232,0:233,109n 1000 38331,P9%:38332,D9%:37900:0:1002:P:1002:51,0::31744: H1%(36)72:H2%7(B$)4:V1%(37)83:V2%12:             3:"the product.":13 3:"To obtain the coefficient of any":3:"factor, find the product of the":3:"remaining factors.":300: H1%10:H2%259:V1%36:V2%136:220:V2%16:220:V2%48:220:V2%96:220:94,3694,172.! 6:6:"TERM";:15:3390:N"numerical coefficient":210:"of"B) :3:"the product.":300: H1%10:H2%259:V1%36:V2%40:220:V1%92:V2%32:220:6:3:"To obtain a product, two or more" 3:"numbers must be multiplied together.":3:"Each of these numbers is a factor of":$ 3:"In a product, any factor or group of"::3:"factors is the ";:B$"coefficient":210:"of the"::3:"remaining factor or factors.":"& 3:"When a constant and a variable are"::3:"factors of a product, the constant is"::3:"called the ";:B$ected by multiplication or"::3:"division signs."::3:"If two or more numbers are to be":! 3:"multiplied, each of the numbers, as"::3:"well as the product of any of them,"::3:"is a ";:B$"factor":210:"of the product.":300:P%2:700:6N%A%N8%Mr B$"NO. ANSWER IS "(AN%):(TP$)AN%B$"RIGHT":C%(1)C%(1)1gt 21:23:B$:300:I: M%3100,3200,3300,3400 6:3:"A ";:B$"term":210:"is a number, a variable, or"::3:"both numerals and variables which are":^ 3:"conn:"IF "A$" ";:N%5:240:A%::3:"WHAT IS THE VALUE":11:"OF"::9:A$" ";:N%OP%:240:N8%m 15:22:"WRITE A SIMPLER":22:"EXPRESSION FOR":22:"THE ONE AT THE":22:"BOTTOM OF THE":22:"LEFT BOX." o VT%20:HT%23:MX%5:390:AN%A%N8%:OP%2A265,39e 3:"for a number, or constant. In the":3:"left box a variable in the form of a":3:"letter is given a value. Evaluate"h 3:"the expression involving the":3:"variable and enter your answer into":3:"the right box.":38321,0^j 16:6M%:P%I:700:A$(R(26)64):A%R(9):N8%R(9):OP%R(2):IM%9İ11000:11500:38321,0:2410a H1%10:H2%259:V1%36:V2%64:220:H2%126:V1%108:220:H1%143:220c 38321,128:J612:J:3:36):J:6:3:"A variable is used as a placeholder":14,390:A$" ";:N%17:240:553:11:5:"When "A$" (Variable ) ";;:N%5:240:T1%(I)" (Constant)," 14:5:"The Expression: "A$" ";:N%1:240:N8% 16:18:N%5:240:21:T1%(I)" ";:N%1:240:N8%:19:18:N%5:240:23:N8%T1%(I) 300:I:^` I1Ie arithmetic problem."::3:"<3> Use the same method to solve the":7:"problem involving letters.":300:N8%R(9):N1%R(3)2:N2%9:N3%1:A$(R(26)64):T1%1:T2%N1%:500:I1N1%:H1%10:H2%259:V1%36:V2%32:220:V2%128:220:P%I:700\7:1lace holders)":3:"for numbers:":3:"<1> Write a similar problem":7:"involving the numbers of":7:"arithmetic (the domain or"7:"replacement set of the variable,":7:"elements of which are called":7:"constants).":k3:"<2> Solve th called the ";:B$"values":210:" of"::3:"the variable. If the variable has":A3:"only one value, it is a ";:B$"constant.":210:300:#H1%10:H2%259:V1%36:V2%128:220:6:3:"To solve problems in which letters":3:"represent variables (p:3:"The set from which the replacements":93:"for the variable are selected is"::3:"called the replacement set or ";:B$"domain":210:20<3:"of the variable.":300:P%2:700:6:3:"The elements of the domain of a":R>3:"variable are000,6000:1010B26:809G(4)"RUNALGEBRA MODULE 1"?K[M%2100,2200,2300,240046:3:"A ";:B$"variable":210:"is a symbol, often a"::3:"letter, which holds a place for, or":-73:"represents, any element of a given"::3:"set.":E (0-4) ?? ";{38321,0:" ":6:13:"MODE SELECTION":I14:I26:5:"<"I"> "M2$(I):I::5:"<0> Return To CONTENTS"MN%0:MX%4:420:CH%0İ206:1010 M%CH%:P%1:700:206:P1%M%234:P2%(P1%):P2%255ĹP1%,P2%1 IM%9:C%2000,3000,48:I2123:I:14:22):I:22:15:"WHICH ONE (0-4) ?? ";:38321,0:" "|MN%0:MX%4:420:C%CH%:22:34:CH%:CH%1090CH%4İ206:1035 M%0:700:206:3:38321,128:8:32):24(M1$(C%))2:M1$(C%):I2123:I:5:25):I:22:6:"WHICH ON6:220:Y%V1%16:38,Y%38,Y%738,Y%635,Y%3:38,Y%641,Y%3uI34:5:"<"I">":I26:14:"<"I"> "M1$(I):I14,14621,14056,14063,14656,15421,15414,146:19:5:"<0>"H16:14:"<0> Return to ALGEBRA Menu":6:21:"CONTENTS":38321,12:M1$(3)"EXPONENTS":M1$(4)"EXPRESSIONS TEST"|M2$(1)"DEFINITION":M2$(2)"RULE":M2$(3)"EXAMPLE":M2$(4)"SAMPLE PROBLEM"NM$(2)"Second":NM$(3)"Third":NM$(4)"Fourth"C%0:M%0:P%0:700:73,3273,183@I14:H1%21:V1%I2420:H2%35:V2%14):PC250(PC250)İ101PCPC1:PK%128714T16368,0:PK%155PK%205ı^724i:722u63900PK%1551090102637894:10000:TP%(13),OP$(4),M1$(5),M2$(4)R(I)((1)I)1-M1$(1)"VARIABLES":M1$(2)"FACTORS":T1%(I5)N4%:I5:$ &T1%1:T2%N1%: (A$" ";:N%5:240 )N%15:240:I5T1%T2%1:T1%(I5)",";:I5:T1%(I5);:N%16:240: 38321,0:2:2:"C"C%" P"P%:2:"M"M%: PK%(16384):PK%155(C%)ı 16368,0:PC0:P9%40:D9%40PK%(1638TP$"":I31PS%:TP$TP$(TP%(I3)):I3:HT%PS%:MX%1PS%)::g PK%(16384):710:PK%128420 16368,0:PK%155CH%0: CH%PK%176:CH%MN%CH%MX%420  I51N1% N4%(1)N2%N3%:J0N1%1:T1%(J)N4%J100:J:503 J1%(16384):710:P1%128394D P1%P1%128:16368,0:P1%13410a HT%PS%:(TP%(PS%1)); P1%8PS%PS%PS%1:392 P1%21PS%MX%PS%PS%1:392 P1%57(P1%48P1%45)392 HT%PS%:(P1%);:PS%PS%1:TP%(PS%)P1%:PS%MX%392C PRESS TO TURN PAGE. . .":16368,0:7,175272,175b /PK%(16384):710:PK%128303~ 116368,0:PK%160303 4206: I3113:TP%(I3)32:I3:38321,0:PS%0:VT%:HT%PS%:MX%) 38321,128:HT%PS%:(TP%(PS%1));:38321,0 PH2%,V1%H1%H2%,V1%V2%H1%,V1%V2%H1%,V1%:_ H1%(36)7:V1%(37)88:1):N%H1%,V1%: H1%(36)73:V11%(37)84:2):N%H1%,V1%: 37894:(37):P8%(36)3:P8$:P8%:55,127: N%11:230:TP$;:N%12:230> ,23:2:38321,128:"**1 2790324576#63900@(4)"BLOADEWS.ROUTINES"G3Q 1000t 38331,P9%:38332,D9%:37900:z0:1002:P:1002:51,0::31744:H1%(36)72:H2%7(B$)4:V1%(37)83:V2%12:B$;" ";:220. H1%,V1%H1%                 ":CS$"Data File Has Been Destroyed":2000n T1%6ER$"File Not Found":CS$"Program Or Data DELETEd":2000 T1%7ER$"Volume Mismatch":CS$"Wrong Disk Is In Drive":SG$"Insert ALGEBRA 1 Disk":2000" T1%8ER$"I/O Error":CS$"Disk May Be Damag Do Not Have ROM APPLESOFT":SG$"Obtain An APPLESOFT Card":2000i T1%2T1%3ER$"Range Error":2000 T1%4ER$"Disk Write Protected":CS$"Disk Has Tabs Or Is Backwards":SG$"Remove Tabs And Insert Disk Properly":2000* T1%5ER$"End Of Data1002: P:1002:51,0::* Z36864:2 _26O 37894:10000:T1%(252) ER$"Unknown Error":CS$"Undeterminable":SG$"Consult EDU-WARE" T1%0ER$"NEXT Without FOR":CS$"Program Error":2000@ T1%1ER$"Language Not Available":CS$"You& :255::ZZ(0)(27000:24576F(4);"BLOADEWS.ROUTINES"R63900t ALGEBRA MODULE 1 (AM1.ERROR COPYRIGHT 1981 EDU-WARE SERVICES, INC. ALL RIGHTS RESERVED.3 1000 38144,P9% 38145,D9%38146: 0:      0:1002:K1%(222):K1%253Ħk!251,31:252,K1%:253,(218):254,(219):26:80:(4)"RUNAM1.ERROR":BFJNRVZ^b f j n r  ? - ? )--- ;??? - ? - ring further":5:"review.":FR%27:34:"<--":PR%(3)6:V N(4)"OPENAM1.PROGRESS"r *N(4)"READAM1.PROGRESS" -NI16:PR%(I):I:(4)"CLOSE" /N U(4)"OPENAM1.PROGRESS" U(4)"WRITEAM1.PROGRESS" UI16:PR%(I):I:(4)"CLOSE" U !atulations! You have passed":5:"unit THREE and may now go on to":5:"unit FOUR."tPR%(3)1:PR%(4)1PR%(4)6z17:4:FF%ĺ"Arrows show areas of weakness":PR%(3)2:I14:FF%(I)ĢI27:34:"<--"FF%ĂI:: "Arrow shows area requi6,I1660:C%C%(I)C%:C%(I)1FF%(I)1:FF%1ItC%(I)2(FR%)FR%IPuIv38321,128:7:4:34):9:"CONCEPT"5)"RIGHT WRONG":21,47258,47:I816:I:33:5):IxI1719:I:4:34):I:21,127258,127zC%9FF%6020S}17:4:"Congr2)2:T3%R(T2%1):N1%T2%T3%:500:15:4:553:T1%T2%1:T2%N1%:19:4:553:pH1%17:H2%245:V1%44:V2%112:220:H2%119:V1%60:V2%64:220:H2%42:I13617842:H1%I:220:I:C%0.sI14:I27:4:M1$(I);:23:C%(I);:29:3C%(I);:17,I166013%1:T2%N1%:500:15:4:553:TP%T1%(1):T1%(1)T1%(N1%):T1%(N1%)TP%:19:4:553:TT2%R(2)2:T1%1:N1%T2%2:500:15:4:553:T1%T2%1:T2%N1%:19:4:553:^N1%R(2)2:T1%1:T2%N1%:500:15:4:553:T2%R(T2%1):19:4:553:OhT1%1:T2%R(38321,0Z12:23:"HOW ARE THE TWO":23:"SETS RELATED?":J14:23:"<"J"> "T3$(J):JAN%R(4):AN%5450,5460,5470,5480:MN%1:MX%5:B$"NO-"T3$(AN%):420:CH%AN%B$"RIGHT":C%(I1)C%(I1)1 19:37:CH%::23:B$:300:I:RJN1%R(4)1:T1700:H1%10:H2%259:V1%36:V2%24:220:H2%126:V1%84:V2%88:220:H1%143:220:N2%9:N3%1:14,39265,3938321,128:J67:J:3:36):J:6:3:"Compare the two sets in the left box"3:"and determine their relationship":19:23:"WHICH (1-4) ??":"RIGHT":C%(I1)C%(I1)1<?19:37:CH%::23:B$:300:I:nvC$L$:N1%R(2):ST$NM$(N1%):N%3N1%R(5):C$L$:N1%R(2):ST$NM$(N1%):N%R(5)2N1%:C$G$:N1%R(3):ST$NM$(N1%):N%R(5)1R(2):N1%3R(2)1C$L$gI13:P%I::3:"appropriate menu choice":38321,0m8AN%R(3):AN%4470,4480,4490:J13:14J:23:"<"J"> "T1$(J):J:16:12(ST$)2:ST$::12(C$)2:C$:23:38321,128:"WHICH (1-3) ??":38321,0:11:N%;:MN%1:MX%3:420=B$"NO-"T1$(AN%):CH%AN%B$00:H1%10:H2%259:V1%36:V2%40:220:H2%126:V1%108:V2%64:220:H1%143:220:14,39265,39338321,128:J69:J:3:36):J:6:3:"A set of numbers is described in the":3:"left-hand box. Determine the size of"'53:"that set and then select the" N11N1(N1)T2%2 _ 3440:a N10N1(N1)T2%2Dd 3440Yf N1(N1)T2%2ci 3440p MN%1:MX%2:420:20:36:CH%:CH%T2%B$"RIGHT":C%(I1)C%(I1)1s 38321,0:21:23:B$:300:I:[0L$"LESS THAN":G$"GREATER THAN":I13:P%I:7(1)9):N1$(N1)yR 16:6:"THE NUMBER";:22:"IS THE STATEMENT":22:"<1> TRUE":12(N1$)2:N1$;:22:"<2> FALSE":U 5:"IS ONE OF THE":12(NM$(N1%))2:NM$(N1%):38321,128:20:22:"WHICH (1-2) ??":T2%1:B$"WRONG":N1%3420,3425,3430,3440\J:3:36):J:6:3:"In the left box a statement is made":3:"about a number as to which number"M 3:"set the number belongs. Determine if":3:"the statement is true or false.":38321,0Q N1%R(4):N1(R(100)((1)1.3)(1))(1((1)1.4))("WHICH (1-2) ??";:38321,0:MN%1:MX%2:420:CH%:B$"WRONG":CH%N6%B$"RIGHT":C%(I1)C%(I1)1zo 21:23:B$:300:I:H I13:P%I:700:H1%10:H2%259:V1%36:V2%40:220:H2%126:V1%116:V2%56:220:H1%143:220:14,39265,39bK 38321,128:J69: about"hh 3:"one of the set's elements. Determine":3:"if the statement is true or false.":38321,0j 17:3:550:20:4:N5%" ";:N%N7%:240:" "A$:16:22:"IS THE STATEMENT":22:"ABOUT SET "A$:22:"<1> TRUE":22:"<2> FALSE"`m 38321,128:22:7%18:B$"'IS NOT AN ELEMENT OF.'":N6%(N6%3)c H1%10:H2%259:V1%36:V2%40:220:H2%119:V1%116:V2%56:220:H1%143:220:38321,128:J69:J:3:36):J:14,39265,39e 6:3:"A set is named in the left box with":3:"a statement written below it(4);"RUNAM1.3"$B26:80:22000CG(4)"RUNALGEBRA MODULE 1"IK` I13:P%I:700:N1%R(3)2:N2%R(5)5:N3%0:571:N5%T1%(R(N1%)):N6%1:((1)2)N1%5N6%2:N5%T1%(N1%):N1%N1%1/a N7%17:B$"'IS AN ELEMENT OF THE SET'":((1)1.5)NT3$(2)"EQUIVILENT":T3$(3)"SUBSET":T3$(4)"NO RELATION"PC%5:M%0:P%0:700I114:C%(I1)0:TP$"POST TEST: "M1$(I1):38321,128:3:8:30):23(TP$)2:TP$:38321,0I12400,3400,4400,5400:I16000:38321,0:300826:80:22000=M"BT1$(1)"NULL SET":T1$(2)"FINITE SET":T1$(3)"INFINITE SET"PR$(1)"EQUIVALENCY":PR$(2)"SUBSET":PR$(3)"UNION":PR$(4)"INTERSECTION"NM$(1)"NATURAL NUMBERS":NM$(2)"WHOLE NUMBERS":NM$(3)"INTEGERS":NM$(4)"REAL NUMBERS"8T3$(1)"EQUAL":26:80:20000:37894:TP%(13),OP$(4),M1$(5),M2$(4):206N R(I)((1)I)1 M1$(1)"DEFINITION":M1$(2)"NUMBER SYSTEMS":M1$(3)"SIZE":M1$(4)"PROPERTIES":M1$(5)"SETS TEST"M2$(1)"DEFINITION":M2$(2)"RULE":M2$(3)"EXAMPLE":M2$(4)"SAMPLE PROBLEC%" P"P%:2:"M"M%:8 PK%(16384):PK%155(C%)ıY 16368,0:PC0:P9%40:D9%40 PK%(16384):PC250(PC250)İ10 PCPC1:PK%128714 16368,0:PK%155PK%205ı 724 :722 63900 PK%1551090 10257 %(J)N4%J100:J:503/ J:T1%(I5)N4%:I5:A &T1%1:T2%N1%W (A$" ";:N%5:240 )N%15:240:I5T1%T2%1:T1%(I5)",";:I5:T1%(I5);:N%16:240: :N1%R(4)2:N2%R(10)N1%:N3%R(10)1R(2) ;A$(R(26)64):500 38321,0:2:2:"C"6368,0:7,175272,1759 /PK%(16384):710:PK%128303U 116368,0:PK%160303` 4206: PK%(16384):710:PK%128420 16368,0:PK%155CH%0: CH%PK%176:CH%MN%CH%MX%420  I51N1% N4%(1)N2%N3%:J0N1%1:T1%H1%H2%,V1%V2%H1%,V1%V2%H1%,V1%:T 240:1):N%H1%,V1%:H2%15:V2%16:220 H1%(36)73:V11%(37)84:2):N%H1%,V1%: H1%(36)73:V11%(37)84:2):N%H1%,V1%: ,23:2:38321,128:"** PRESS TO TURN PAGE. . .":1@ 2790324576#63900@(4)"BLOADEWS.ROUTINES"J 1000m 38331,P9%:38332,D9%:37900:s0:1002:P:1002:51,0::31744:H1%(36)72:H2%7(B$)4:V1%(37)83:V2%12:B$;" ";:220' H1%,V1%H1%H2%,V1          BOOT Disk"Y9:36,8:" "ER$" "::36,12:" "(253)(254)256" ":36,12:" "(251)" ":36,8:CS$::36,19(SG$)2:SG$426:80:20000:':38321,128:I123:I:1:40):I'38321,0:2:I27:I:2:38):I '38321,128:I24:I:1@1T1%191ER$"Formula Too Complex":CS$"Program Error":20003T1%224ER$"Undefined Function":CS$"Undefined Function":20006T1%254ER$"Bad Response To An INPUT":2000 8T1%255ER$" Interrupt":CS$"User Typed ":SG$"Re":CS$"Program Error":2000]'T1%120ER$"Re-Dimensioned Array":CS$"Program Error":2000)T1%133ER$"Division By Zero":CS$"Program Error":2000,T1%163ER$"Type Mismatch":CS$"Program Error":2000.T1%176ER$"String Too Long":2000ER$"Illegal Quantity":2000=T1%69ER$"Overflow":2000T1%77ER$"Out Of Memory":CS$"You May Not Have A 48K System":SG$"Try ReBOOTing Disk":2000"T1%90ER$"Undefined Statement":CS$"Program Error":2000$T1%107ER$"Bad Subscript Disk":20007T1%15ER$"Not Direct Command":2000zT1%16ER$"APPLESOFT Syntax Error":CS$"Program Error":2000T1%22ER$"RETURN Without GOSUB":CS$"Program Error":2000T1%42ER$"Out Of Data":CS$"Program Error":2000T1%53&& deq.?6~?ra(խ)&  4,(219):26:80:(4)"RUNAM1.ERROR":BFJNRVZ^b f j n r  ? - ? )--- ;??? - ? -    (219):26:80:(4)"RUNAM1.ERROR":BFJNRVZ^b f j n r  ? - ? )--- ;??? - ? -      500:15:4:553:T1%T2%1:T2%N1%:19:4:553:l<':3,4276,4276,1883,1883,4:3,26276,26:45,445,26<'38321,128:I23:I:8:32):I:2:22:"SETS":38321,0:49,7272,7:<0:1002:K1%(222):K1%253Ħ$=251,3:252,K1%:253,(218):254,%T1%(1):T1%(1)T1%(N1%):T1%(N1%)TP%:19:4:553:;TT2%R(2)2:T1%1:N1%T2%2:500:15:4:553:T1%T2%1:T2%N1%:19:4:553:;^N1%R(2)2:T1%1:T2%N1%:500:15:4:553:T2%R(T2%1):19:4:553:0 "T3$(J):J:AN%R(4):AN%5450,5460,5470,5480:MN%1:MX%5:B$"RIGHT":420:CH%AN%B$"NO-"T3$(AN%): 19:37:CH%::23:B$:300:I:3;JN1%R(4)1:T1%1:T2%N1%:500:15:4:553:TP10:H2%259:V1%36:V2%24:220:H2%126:V1%84:V2%88:220:H1%143:220:N2%9:N3%1:14,39265,39938321,128:J67:J:3:36):J:6:3:"Compare the two sets in the left box":3:"and determine their relationship":19:23:"WHICH (1-4) ??":38321,0:22:240:"B ";:N%5:240:T1%1:T2%N1%:553:8N%10:500:T1%1:T2%R(3)1:T3%T2%:A$"A":10:3:552:A$"B":T1%T2%R(T2%1):T4%T1%:T2%T3%R(2):23:5528T1%T4%:T2%T3%:14:3:"A ";:N%21:240:"B ";:N%5:240:553:_9I19:P%I:700:H1%к:18:"A B":133,157136,155139,157142,155:7N1%4:A$"A":500:10:3:550:N1%R(3)1:A$"B":23:550:12:18:"B ";:N%11:240:"A":7T2%R(3)1:N1%T2%2:500:A$"A":10:3:T1%1:552:A$"B":23:T1%T2%1:T2%N1%-8552:14:3:"A ";:N%:A$"A":8:3:"TWO EQUAL SETS:"::500:3:550:A$"B":T1%R(2):T2%R(2)2:TP%T1%(T1%):T1%(T1%)T1%(T2%):T1%(T2%)TP%:23:550612:18:N%5:"A ";:240:"B":N1%R(3)1:500:A$"A":16:3:"TWO EQUIVALENT SETS:"::3:550:A$"B":500:23:55017:o sets, A and":3:"B, is the set containing those and":3:"only those elements of set A that"5{3:"are elements of set B."::18:N%21:"A ";:240:"B":5I14:P%I:700:6:3:B$PR$(I):210:I5310,5320,5330,5340:300:I:6N1%4:N2%9:N3%1"the null set is a subset of every":3:"set.":4n3:"The union of two sets A and B is the":3:"set of all elements of both sets A":3:"and B, each element being listed"4q3:"only once."::18:N%22:"A ";:240:"B":_5x3:"The "PR$(4)" of twments as B, then they are":3:"equivilent."`3_18:"A B":133,148136,146139,148141,146:3d3:"If every element of set A is in set":3:"B then A is a subset of B."::18:"A ";:N%11:240:"B":14g3:"Every set is a subset of itself and":3:9:I5210,5220,5230,5240'2S300:I:2Z3:"Set A is equal to set B if every":3:"element of A is an element of B and":3:"every element of B is an element of":3:"A.",3]18:"A ";:N%5:240:"B":16:3:"If set A has the same number of":3:"eleets.":300:P%3:700:613:"The ";:B$PR$(3):210:"of two sets is a set of all"::3:"elements belonging to at least one"::3:"of the two sets.":300:2PI14:P%I:700:H1%10:H2%259:V1%36:V2%16:220:V2%128:220:6:20(PR$(I))2:PR$(I):6:3:"A set is a ";:B$PR$(2):210:"of another when"::3:"all of the elements of the first set"::3:"are members of the second."::13:"The set whose elements belong to two"::3:"other sets is called the"::3:B$PR$(4):210:"of the two s/3:"Given two sets, a pairing which"::3:"assigns each member of each set one"::3:"and only one member of another set":/3:"is called a one-to-one correspondence"::3:"and each set is an ";:B$"equivalent set.":210:300:P%2:700:603N1%R(5):?.C$L$:N1%R(2):ST$NM$(N1%):N%R(5)2N1%:.C$G$:N1%R(3):ST$NM$(N1%):N%R(5)1R(2):N1%3R(2)1C$L$..M%5100,5200,5300,5400/6:3:"Two sets are ";:B$"equal":210:"if they have the"::3:"same members.":J:23:"<"J"> "T1$(J):J-:16:12(ST$)2:ST$::12(C$)2:C$:23:38321,128:"WHICH (1-3) ??":38321,0:11:N%;:MN%1:MX%3:420:19:37:CH%-=B$"RIGHT":CH%AN%B$"NO-"T1$(AN%)-?21:23:B$:300:I: .vC$L$:N1%R(2):ST$NM$(N1%):N%:T1$(2)"-One that has a countable":14:"number of elements",53:T1$(3)"-One that has too many":16:"elements to count":3:"Determine which type of set is the":3:"one described in the left box":38321,0-8AN%R(3):AN%4470,4480,4490:J13:14rs greater":14:"than "R(100):300:+0L$"LESS THAN":G$"GREATER THAN":I19:P%I:700:H1%10:H2%259:V1%36:V2%64:220:H2%126:V1%108:220:H1%143:220:14,39265,39=,338321,128:J612:J:3:36):J:6:3:T1$(1)"-One that has no elements":3YPE";:23:"EXAMPLE":I02:N%I3287:1580,N%:16241,N%:I*12:5:"NULL";:14:"The Positive Integers":14:"less than ";R(10)*16:4:"FINITE";:14:"The Integers between":14:R(10)" and "R(10)10&+20:3:"INFINITE";:14:"The Integember":7:"of elements, it is FINITE"::3:"<3> If a set has too many elements")m7:"to count, it is said to be":7:"INFINITE":300:)6:15:"TYPES OF SETS":H1%10:H2%259:V1%60:V2%16:220:I02:V2%I3248:220:I:73,6073,172>*9:5:"T ";:B$"NULL SET,":210s( "designated by the"::3:"symbols ";:N%19:240:" or ";:N%15:240:N%16:240:300:(hH1%10:H2%259:V1%52:V2%80:220:8:3:"<1> If a set has no elements, it is":7:"a "T1$(1):P)k3:"<2> If a set has a countable nulements can be"::3:"counted a ";:B$T1$(2)".":210::'3:"A set with too many elements to"::3:"count is called an ";:B$T1$(3)".":210::( 3:"It is possible for a set to have no"::3:"elements. Such a set is called an"::3:"empty or0&\ N11N1(N1)T2%2%&_ 3440?&a N10N1(N1)T2%2I&d 3440^&f N1(N1)T2%2h&i 3440&p MN%1:MX%2:420:20:36:CH%:CH%T2%B$"WRONG"&s 38321,0:21:23:B$:300:I:&M%4100,4200,4300,4400:'6:3:"We call a set whose e9):N1$(N1)~%R 38321,0:16:6:"THE NUMBER";:22:"IS THE STATEMENT":22:"<1> TRUE":12(N1$)2:N1$;:22:"<2> FALSE":&U 5:"IS ONE OF THE":12(NM$(N1%))2:NM$(N1%):38321,128:20:22:"WHICH (1-2) ??":T2%1:B$"RIGHT":N1%3420,3425,3430,344umbers and 0, "NM$(3)" are the":3:NM$(2)" and negative natural":3:"numbers, and the rest are the real" %P 3:"numbers, determine if the statement":3:"in the left box is true or false.":N1%R(4):N1(R(100)((1)1.3)(1))(1((1)1.4))((1)700:H1%10:H2%259:V1%36:V2%72:220:H2%126:V1%116:V2%56:220:H1%143:220:14,39265,39#K 38321,128:J613:J:3:36):J:6:3:"Knowing that "NM$(1)" are all":3:"the counting numbers from 1 up, that"j$M 3:NM$(2)" include the natural":3:"n:N2%N1%:3390:12z" 3:NM$(4)" are those that may be":3:"positioned on a number line.":3:"Some examples include:"" I16202:J32320:I:J:((1)((1)2)R(100000))1R(2):J,I:300:"> IN2%N1%:I",";:I:"...":\#H I19:P%I:t the numbers continue in the":3:"same pattern without end."! 17:3:"The "NM$(2)" are represented by":3:"the symbols:"::3:N1%6R(7):N2%0:3390:300:P%2:700:6" 3:NM$(3)" are represented by these":3:"symbols:"::3:"...";:N1%2R(3)...";:3 "...,";:I944:I9",";:I9:"...";: 6:3:"The counting numbers, which are also":3:"called "NM$(1)", are":3:"represented by these symbols:">! N1%5R(6):N2%1:10:3:3390::3:"The three dots after the "N1%" indicate":3:"tha "NM$(TP%);:28:"SYMBOL: ";:TP%33210t (TP$,TP%,1):J91:N%15:4:240:TP%3291,3292,3293:N%16:240:3220 N%23:240:19:4:"<";:37:">":20:0:23,147255,147 J:300:I: I9111:I9",";:I9:"...";: I9011:I9",";:I9:"$ 3:B$NM$(4):210:"is a set combining"::3:"positive numbers, negative numbers,"::3:"and zero.":300: TP$"NWJ":I01:P%I1:700:J12:V1%J7236:V2%56:H1%10:H2%259:220:V2%16:220:H1%185:H2%84:220( J93:3:TP%I2J:"SYSTEM:he number 0, together with the"::3:NM$(1)", form a new"::3:"collection of numbers called"::3:B$NM$(2):210:300:P%2:700:6! 3:B$NM$(3):210:"consist of the "NM$(2)::3:"together with the negative opposites"::3:"of the "NM$(1)".":13o1-2) ??";:38321,0:MN%1:MX%2:420:CH%:B$"RIGHT":CH%N6%B$"WRONG"bo 21:23:B$:300:I:~ M%3100,3200,3300,3400 6:3:"The set of numbers used in counting,"::3:"1,2, and so on, is called the set of"::3:B$NM$(1):210 13:3:"Tith":3:"a statement about the set below it.":3:"Determine if it is true or false.":38321,0j 17:3:550:20:4:N5%" ";:N%N7%:240:" "A$:16:22:"IS THE STATEMENT":22:"ABOUT SET "A$:22:"<1> TRUE":22:"<2> FALSE"Hm 38321,128:22:"WHICH (259:V1%36:V2%72:220:H2%119:V1%116:V2%56:220:H1%143:220:38321,128:J613:J:3:36):J:14,39265,39e 6:3:"A set is a list of objects or":3:"elements. The symbol"::4:N%N7%:241:" means "B$:_h 3:"A set is named in the left box, w"A$:300:` I19:P%I:700:N1%R(3)2:N2%R(5)5:N3%0:571:N5%T1%(R(N1%)):N6%1:((1)2)N1%5N6%2:N5%T1%(N1%):N1%N1%1a N7%17:B$"'IS AN ELEMENT OF THE SET'":((1)1.5)N7%18:B$"'IS NOT AN ELEMENT OF.'":N6%(N6%3)oc H1%10:H2%"To indicate that the number "N4%" is an":3:"element of "A$", we write:" 15:4:N4%" ";:N%17:240:" "A$:17:3:N4%N3%((R(N2%)N2%)1R(2)):"To indicate that "N4%" is NOT an":3:"element of "A$", we write:"  20:5:N4%" ";:N%18:240:" mbol ";:N%17:240:"means 'IS AN ELEMENT OF'"::3:N%18:240:" means 'IS NOT AN ELEMENT OF.'":300:p5706:3:"By using a capital letter to":3:"represent a set of "N1%" numbers, we can":3:"write:"J 10:5:550:12:3:N4%T1%(R(N1%)):"its elements or members by:":s3:"<1> A roster surrounded by braces,":7:"listing names of the elements":3:"<2> A rule describing the elements"::3:"<3> A graph, locating the elements":7:"as points on a number line"g18:3:"The syUC3:"list the names of its elements"::3:"between braces. No element may be":F3:"listed more than once, but they may"::3:"be listed in any order.":300: H1%10:H2%259:V1%36:V2%88:220:6:3:"To specify a set, you can identify":3:ement":210:"of the":8<3:"set.":300:P%2:700:6>3:"We use the special symbol ";:N%17:230:"to mean"::3:"'IS AN ELEMENT OF A SET,' while ";:N%18:230::A3:"means 'IS NOT AN ELEMENT.'":::3:"One way of indicating a set is to":"A ";:B$"set":210:"is any collection of objects"::3:"so well described that you can":73:"always tell whether or not an object"::3:"belongs to the set."::93:"Every object that belongs to a set"::3:"is called a member or ";:B$"el0:MX%4:420:CH%0İ206:1010c M%CH%:P%1:700:206:P1%M%234:P2%(P1%):P2%255ĹP1%,P2%1 C%2000,3000,4000,5000:1010826:80=(4);"RUNAM1.3.1"B26:80G(4)"RUNALGEBRA MODULE 1"KM%2100,2200,2300,2400]46:3:CH%51080M%0:700:206:3:38321,128:8:32):24(M1$(C%))2:M1$(C%):I2123:I:5:25):I:22:6:"WHICH ONE (0-4) ?? ";38321,0:" ":6:13:"MODE SELECTION":I14:I26:5:"<"I"> "M2$(I):I::5:"<0> Return to CONTENTS"MN%,17221,16456,16463,17256,18021,18014,172:22:5:"<0>"18:14:"<0> RETURN TO ALGEBRA MENU":6:21:"CONTENTS":38321,128:I2123:I:14:22):I:22:15:"WHICH ONE (0-5) ?? ";:38321,0:" "MN%0:MX%5:420:C%CH%:22:34:C%:(C%)1090"EQUIVALENT":T3$(3)"SUBSET":T3$(4)"NO RELATION"XC%0:M%0:P%0:700:73,3273,183I15:H1%21:V1%I2420:H2%35:V2%16:220:Y%V1%16:38,Y%38,Y%738,Y%635,Y%3:38,Y%641,Y%3I34:5:"<"I">":I26:14:"<"I"> "M1$(I):I<14T1$(1)"NULL SET":T1$(2)"FINITE SET":T1$(3)"INFINITE SET"PR$(1)"EQUIVALENCY":PR$(2)"SUBSET":PR$(3)"UNION":PR$(4)"INTERSECTION"NM$(1)"NATURAL NUMBERS":NM$(2)"WHOLE NUMBERS":NM$(3)"INTEGERS":NM$(4)"REAL NUMBERS"2T3$(1)"EQUAL":T3$(2)61 37894:10000:TP%(13),OP$(4),M1$(5),M2$(4)H R(I)((1)I)1 M1$(1)"DEFINITION":M1$(2)"NUMBER SYSTEMS":M1$(3)"SIZE":M1$(4)"PROPERTIES":M1$(5)"SETS TEST" M2$(1)"DEFINITION":M2$(2)"RULE":M2$(3)"EXAMPLE":M2$(4)"SAMPLE PROBLEM"<2:"C"C%" P"P%:2:"M"M%:? PK%(16384):PK%155(C%)ı` 16368,0:PC0:P9%40:D9%40 PK%(16384):PC250(PC250)İ10 PCPC1:PK%128714 16368,0:PK%155PK%205ı 724 :722 63900 PK%1551090 102%1:T1%(J)N4%J100:J:5036 J:T1%(I5)N4%:I5:H &T1%1:T2%N1%^ (A$" ";:N%5:240 )N%15:240:I5T1%T2%1:T1%(I5)",";:I5:T1%(I5);:N%16:240: :N1%R(4)2:N2%R(10)N1%:N3%R(10)1R(2) ;A$(R(26)64):500 38321,0:2: .":16368,0:7,175272,175@ /PK%(16384):710:PK%128303\ 116368,0:PK%160303g 4206: PK%(16384):710:PK%128420 16368,0:PK%155CH%0: CH%PK%176:CH%MN%CH%MX%420  I51N1% N4%(1)N2%N3%:J0N1H2%,V1%H1%H2%,V1%V2%H1%,V1%V2%H1%,V1%:[ 240:1):N%H1%,V1%:H2%15:V2%16:220 H1%(36)73:V11%(37)84:2):N%H1%,V1%: H1%(36)73:V11%(37)84:2):N%H1%,V1%: ,23:2:38321,128:"** PRESS TO TURN PAGE. .5 2790324576#63900@(4)"BLOADEWS.ROUTINES"G3Q 1000t 38332,P9%:38333,D9%:37900:z0:1002:P:1002:51,0::31744:H1%(36)72:H2%7(B$)4:V1%(37)83:V2%12:B$;" ";:220. H1%,V1%H1%                                ? - ? )--- ;??? - ? -     N(4)"READAM1.PROGRESS";>%NI16:PR%(I):I:(4)"CLOSE"H>(N37894:l>U26:80:(4)"OPENAM1.PROGRESS">U(4)"WRITEAM1.PROGRESS">UI16:PR%(I):I:(4)"CLOSE">U37894:>0:1002:K1%(222):K1%253Ħ&?251,5:252,K1%:253,(218):25 and by"<=,3:"using the order of operations.":38321,0:=,6:3:"In the left box a variable is given":3:"a value. Evaluate the expression":3:"below that and enter its value into"=,3:"the box to the right.":= N(4)"OPENAM1.PROGRESS">#quation in the left box.":38321,0:<,H1%10:H2%259:V1%36:V2%40:220:V2%72:V1%100:220:38321,128:J69:J:3:36):J:17,39265,39=,6:3:"Find the value of the expression":3:"below by replacing the variables":3:"by their assigned valuesr the":3:"numerical coefficient of the term":3:"requested.":38321,0:;$,700:H1%10:H2%259:V1%36:V2%24:220:V1%100:V2%72:H2%126:220:H1%143:220:38321,128:J67:J:3:36):J$<',6:3:"Find the value of the variable of":3:"the simple e"RULES FOR EQUATION REDUCTION":38321,0:49,7272,7:M:*14,39265,39:6::+H1%10:H2%259:V1%36:V2%40:220:V1%116:V2%56:220:38321,128:J69:J:3:36):J:6:14,39265,39J;+3:"Combine all like terms in the":3:"expression below and enteI14:FF%(I)ĢI27:34:"<--"19FF%ĂI:60309"Arrow shows area requiring further":5:"study.":PR%(5)6:FR%27:34:"<--"9300:22000:9':3,4276,4276,1883,1883,4:3,26276,26:45,445,266:'38321,128:I23:I:8:32):I:2:10:34):I:21,127258,127+8zC%9FF%60208}17:4:"Congratulations! You have passed":5:"unit FIVE and may now go on to":5:"POST TEST."8PR%(5)1:PR%(6)1PR%(6)68300:22000:917:4:FF%PR%(5)2:"Arrows show areas of weakness.":;??? - ? -     1   6:PR%(I):I:(4)"CLOSE"UB0:1002:K1%(222):K1%253Ħ251,21:252,K1%:253,(218):254,(219):26:80:(4)"RUNAM1.ERROR":BFJNRVZ^b f j n r  ? - ? )--- ER IS "(N%):(TP$)N%B$"RIGHT":I11C%(1)C%(1)1\.38321,128:20:4:B$:38321,0:x N(4)"OPENAM1.PROGRESS"*N(4)"READAM1.PROGRESS"-NI16:PR%(I):I:(4)"CLOSE"/NU(4)"OPENAM1.PROGRESS"U(4)"WRITEAM1.PROGRESS"UI1:38:">":24,67263,67.38321,128:I21517:I2:3:36):I2:15:3:"What number is associated with the":3:"coordinate on the number line to":3:"which the arrow points?"7.38321,0:14,111265,111:MX%3:HT%4:VT%18:390:B$"WRONG. CORRECT ANSWCREEN. TYPE YOUR ANSWER INTO THE":3:"RIGHT-HAND BOX.":38321,0:14,47265,47'H2%126:V1%116:220:H1%143:220:16:3:"THE NUMERAL:";:22:"IS ANOTHER WAY OF":22:"WRITING":6:.P%I:700:H1%10:H2%259:V1%36:V2%48:220:V1%108:V2%56:220:9%27:34:"<--":PR%(2)6:r'P%I:700:206:H1%10:H2%259:V1%44:V2%48:220:38321,128:J711:J:3:36):J'7:3:"FIND A SIMPLER LOOKING NUMERAL THAT":3:"HAS THE SAME VALUE AS THE ONE IN THE":3:"BOX ON THE LEFT-HAND SIDE OF THE"N'3:"S5:"unit TWO and may now go on to":5:"unit THREE."UPR%(2)1:PR%(3)1PR%(3)6[17:4:FF%ĺ"Arrows show areas of weakness":PR%(2)2:I14:FF%(I)ĢI27:34:"<--"FF%ĂI:"Arrow shows area requiring further":5:"review.":FR2FF%(I)1:FF%1+tC%(I)3(FR%)FR%I2uIv38321,128:7:4:34):9:"CONCEPT"5)"RIGHT WRONG":21,47258,47:I816:I:33:5):IxI1719:I:4:34):I:21,127258,127zC%9FF%60204}17:4:"Congratulations! You have passed":I1)C%(I1)11?20:22:38321,128:B$:300:I:pH1%17:H2%245:V1%44:V2%112:220:H2%119:V1%60:V2%64:220:H2%42:I13617842:H1%I:220:I:C%0sI13:I27:4:M1$(I);:23:C%(I);:29:4C%(I);:17,I1660136,I1660:C%C%(I)C%:C%(I)74,52:3213,52:4151,608H2%126:V1%116:220:H1%143:220:16:3:"THE NUMERAL:";:22:"IS ANOTHER WAY OF":22:"WRITING":6:N%R(4):550:N%510,511,512,513:520:VT%18:HT%23:MX%5:390 =B$"NO. ANSWER IS "(N3%):(TP$)N3%B$"RIGHT":C%(J711:J:3:36):J37:3:"Given that is the symbol for":3:"addition, for subtraction, for":3:"multiplication, and for division,"53:"find a simpler numeral for the one":3:"displayed below.":38321,0:14,47265,476188,44:2%" ?"R 38321,0:14,111265,111:MX%3:HT%4:VT%18:390:B$"WRONG. CORRECT ANSWER IS "((N%)):(TP$)(N%)B$"RIGHT":C%(I1)C%(I1)1U 38321,128:20:4:B$:38321,0\ 300:I:0I14:P%I:700:H1%10:H2%259:V1%44:V2%48:220:38321,128:02(N2%1):N1%I2239(N2%2)24:N1%,64N1%,70:I2:N%R(N2%2)1R(2):N1%(N%N2%)239(2N2%)24M N1%,48N1%,61N1%3,57:N1%,61N1%3,57:12000:(TP$)N%3420P 38321,128:I21517:I2:3:36):I2:16:3:"What is the absolute value of "NRUNALGEBRA MODULE 1"K)` I14:10c N2%R(15)5:4:0:I20N2%1:N1%I2239N2%24:N1%,64N1%,70:I2:N%R(N2%2):N1%N%239N2%24:N1%,48N1%,61N1%3,57:N1%,61N1%3,57e 12000:300:I:H I14:10gK N2%(R(8)4):21:0:N9%0:I2 NUMBERS"&C%4:M%0:P%0:700:206I113:C%(I1)0:TP$"POST TEST: "M1$(I1):38321,128:3:8:30):23(TP$)2:TP$:38321,0I12400,3400,4400:I16000:38321,0:300826:80:22000=(4);"RUNAM1.2"B26:80:22000G(4)"0(PC250)İ10(PCPC1:PK%128714B16368,0:PK%155ıL724W:722c63900m109026:80:20000:37894:TP%(13),OP$(4),M1$(5),M2$(4)R(I)((1)I)1 M1$(1)"THE NUMBER LINE":M1$(2)"REAL NUMBERS":M1$(3)"NEGATIVE";:N%O1%:521:" "N5%;:N%BR%:521:" ";:N%O2%:521:N6%" ";:N%BR%1:521:|&N1%R(9)1R(3):N2%R(9)1R(3):38321,0:2:2:"C"C%" P"P%:2:"M"M%:PK%(16384):PK%155ı16368,0:PC0:P9%40:D9%40PK%(16384):PC251%N2%: N3%N1%N2%:, N3%N1%N2%:S N3%N1%N2%:N1%N2%N3%İ500:513Y u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k H1%(36)73:V11%(37)84:2):N%H1%,V1%: ,23:2:38321,128:"** PRESS TO TURN PAGE. . .":16368,0:7,175272,175 /PK%(16384):710:PK%128303 116368,0:PK%160b 2790324576#63900- 1000P 38331,P9%:38332,D9%:37900:Ve0:1002:{P:1002:51,0::31744:H1%(36)72:H2%7(B$)4:V1%(37)82:V2%12:B$;" ";:220 H1%,V1%H1%H2%,V1%H1%H2%,V1%V2%H1%,V1%V2%        )0:I27:4:SC$(I);:23:C%(I);:29:4C%(I):17,I1660136,I1660:C%C%(I)C%:C%(I)2FF%1:FF%(I)17tC%(I)3(FR%)FR%I7uI7v38321,128:7:4:34):9:"CONCEPT"5)"RIGHT WRONG":21,47258,47:I816:I:33:5):I8xI1719:I:4:I:F6p26:80:20000:IM%4:I13:C%(I)0:I:2400:3400:4400:FF%06qH1%17:H2%245:V1%44:V2%112:220:H2%119:V1%60:V2%64:220:H2%42:I13617842:H1%I:220:I:C%06rSC$(1)"LIKE TERMS":SC$(2)M1$(2):SC$(3)"OPERATION ORDER"l7sI13:FF%(I230:AL%(J64);",";:J::3:970:195:37894:3:"WHAT IS THE VALUE OF THE ABOVE":3:"EXPRESSION?":J15:ST%J:980:J:VT%20:HT%15:MX%5:3905;AN%E2%(0)TH%:B$"WRONG. ANSWER IS "(AN%):AN%(TP$)B$"RIGHT":C%(3)C%(3)16=21:5:B$:300:eir":3:"values. Simplify expressions within"453:"grouping symbols, do "T5$(1):3:"and "T6$(1)", and finally "T5$(0):3:"and "T6$(0)" from left to right.":38321,0:960$5814:3:"THE VARIABLES HAVE THE VALUES:":3:55,127:J65AL%:(J);:N%5::37894:300:I:B30I1IM%:P%I:700:IM%9İ11400:960:440831H1%10:H2%259:V1%36:V2%56:220:V2%72:V1%100:220:38321,128:J611:J:3:36):J:17,39265,39.436:3:"Find the value of the equation below":3:"by replacing variables by th "T5$(0)"s and "T6$(0)"s":7:"in order from left to right.":300:2I15:P%I:700:55,127:5:5:"If":960:3:J65AL%:(J);:N%5:230:AL%(J64)",";:J::5:"Then"23:970::J15:ST%J:TP%P1%:980:J1TP%P1%:3:N%5:230:970:3J values.":1k3:"<2> Simplify any number expressions":7:"that may be included in symbols":7:"of grouping such as parentheses.":1m3:"<3> Simplify any powers."::3:"<4> Do all "T5$(1)"s and":7:T6$(1)"s from left to right.":C2p3:"<5> Do(1)"s and"::3:T6$(1)"s, and, finally, all":r03:T5$(0)"s and "T6$(0)"s from left"::3:"to right.":300: 1hH1%10:H2%259:V1%36:V2%136:220:6:3:"To evaluate an algebraic expression:"::3:"<1> Replace the variables by their":7:"specificis, find its value or values.":300:P%2:700:6/ 3:B$"Evaluating an algebraic expression":210:8:3:"means to, in order, replace"::3:"variables by their values, simplify":/0 3:"any expressions within parentheses,"::3:"do all powers, "T5$ ? - ? )--- ;??? - ? -      )N%B$"WRONG. CORRECT ANSWER IS "(N%)O<.38321,128:20:4:B$:38321,0:r<0:1002:K1%(222):K1%253Ħ<251,2:252,K1%:253,(218):254,(219):26:80:(4)"RUNAM1.ERROR":BFJNRVZ^b f j n r 220:9:38:">":24,67263,67;.38321,128:I21517:I2:3:36):I2:15:3:"What number is associated with the":3:"coordinate on the number line to":3:"which the arrow points?"*<.38321,0:14,111265,111:MX%3:HT%4:VT%18:390:B$"RIGHT":(TP$)&:?20:22:38321,128:B$:300:I:b:':3,4276,4276,1883,1883,4:3,26276,26:45,445,26:'38321,128:I23:I:8:32):I:2:13:"NUMBER LINE OPERATIONS":38321,0:49,7272,7:;.P%I:700:H1%10:H2%259:V1%36:V2%48:220:V1%108:V2%56::274,52:3213,52:4151,6098H2%126:V1%116:220:H1%143:220:16:3:"THE NUMERAL:";:22:"IS ANOTHER WAY OF":22:"WRITING":69:N%R(4):550:N%510,511,512,513:520:VT%18:HT%23:MX%5:390:=B$"RIGHT":(TP$)N3%B$"NO. ANSWER IS "(N3%28:J711:J:3:36):J837:3:"Given that is the symbol for":3:"addition, for subtraction, for":3:"multiplication, and for division,"853:"find a simpler numeral for the one":3:"displayed below.":38321,0:14,47265,4796188,44<2> Second Number Negative"::7:10,100269,100:y7-14:3:"<3> First Positive, Second Negative":7:10,100269,100:7.17:3:"<4> First Negative, Second Positive":7:10,124269,124:80I19:P%I:700:H1%10:H2%259:V1%44:V2%48:220:38321,1oth Numbers Negative":7:10,76269,76:v6)14:3:"<3> Second Negative And !"N1%"! > !"N2%"!":7:10,100269,100:6*17:3:"<4> Second Negative And !"N1%"! < !"N2%"!":7:10,124269,124:6+8:3:"<1> Second Number Positive"::7:27,14:3:"%N2%:I2:Q5230:N%I:"!"N1%"! ";:240:"!"N2%"! ";:N%5:240:I24387,43885!230:N%2:240:"(!"N1%"! ";:N%I:240:"!"N2%"!) ";:N%5:240:I24387,43885#N1%N2%:5$N1%N2%:5'8:3:"<1> Both Numbers Positive":7:)6(11:3:"<2> B0:N%2:240:"(!"N2%"! ";:240:"!"N1%"!) ";:N%5:240:N1%N2%:4350g44395:4370:4396:4370:43504513:4391:4380:4392:513:N1%N1%:N2%N2%:4380:4397:513:N2%N2%:4385:513:N1%N1%:4398:43854300:I: 5230:N2%N2%:I1:230:N15:240:N1%N2%z34392:N1%R(9):N2%R(9):230:N%2:240:"(!"N1%"! ";:N%1:240:"!"N2%"!) ";:N%5:240:" "N1%N2%3N1%R(9):N2%R(N1%):4393:230:"!"N1%"! ";:N%2:240:"!"N2%"! ";:N%5:240:N1%N2%E4N1%R(9):N2%(R(9)N1%):4394:23:f2I14:P%I:700:H1%10:H2%259:V1%36:V2%112:220:V2%16:220:6:20(OP$(I))2:OP$(I):500220:3:N%R(9)1R(2):"!"N%"! Means The ABSOLUTE VALUE Of "N%:N%I:I4310,4320,4330,433034391:230:" !"N1%"! ";:N%1:240:"!"N2%"! ";:N%IF NEGATIVE.":42201p4:"<1> THE "T1$(I)" OF A POSITIVE AND":8:"A NEGATIVE NUMBER IS NEGATIVE."::4:"<2> THE "T1$(I)" OF TWO POSITIVE OR"1r8:"OF TWO NEGATIVE NUMBERS IS":8:"POSITIVE."1|300:I:28:"MOVE UNITS TO":10%24:H2%231:V1%36:V2%16:220s0k6:5:" ";:N%I:240:"":9:((I1)2)4205,42080m4:"<1> GRAPH ."::4:"<2> FROM THAT COORDINATE:"::4290:"THE "T1$(I4)", IF POSITIVE.":1n4290:"THE "T1$(I5)", umbers of which an even number are":3:"negative is a positive number. A"/f3:T1$(I2)" of non-zero real numbers of":3:"which an odd number are negative is":3:"a negative number.":0hI14:P%I:700:24,4410,4410,164269,164269,44255,44:H1%P%1:6:3:B$OP$(I2):210:4195:300:I:.^3:"The sum of two "T1$(I)" numbers is a":3:T1$(I)" number whose absolute value":3:"is found by adding the absolute":3:"values of the numbers."::J/c8:3:"The "T1$(I2)" of non-zero real":3:"nmber has the greater":3:"positive value."-300:P%3:700:6:3:B$OP$(2):210:8:3:B$" is the inverse of the":3:"operation of "OP$(1)". To subtract"-3:"two numbers, add the inverse of the":3:"second number to the first.":300-.I12:Ptive, find a number whose", 3:"absolute value is the difference of":3:"the absolute values of the numbers."::3:"The sum is positive when the positive"+- 3:"number has the greater absolute":3:"value; it is negative when the":3:"negative nuN%))'+U 38321,128:20:4:B$:38321,05+\ 300:I:Q+M%4100,4200,4300,4400+6:3:B$OP$(1):210:8:I12:4190:I:300:P%2:700:6:3:210:8,3:"To find the sum of two numbers, one":3:"of which is positive or 0 and the":3:"other nega8321,128:I21517:I2:3:36):I2:15:3:"What is the absolute value of "N%" ?":3:"That is, what is its distance":3:"from the origin?"+R 38321,0:14,111265,111:MX%3:HT%4:VT%18:390:B$"RIGHT":(TP$)(N%)B$"WRONG. CORRECT ANSWER IS "((e real number line.":300:*)H I19:10)K N2%(R(8)4):21:0:N9%0:I202(N2%1):N1%I2239(N2%2)24:N1%,64N1%,70:I2:N%R(N2%1)1R(2):N1%(N%N2%)239(2N2%)24)M N1%,48N1%,61N1%3,57:N1%,61N1%3,57:12000:(TP$)N%3420*P 3:"of them are real numbers."::3:"You call the positive number of any":3:"pair of opposites, the absolute"( 3:"value of each of the numbers. The":3:"absolute value can be considered as":3:"the distance between 0 and the") 3:"number on thr"-' 3:"is its positive opposite.":300:n' H1%10:H2%255:V1%36:V2%96:220:I212:3180:I2:N%R(5)' 6:3:"In a pair of opposite numbers like":3:N%" and -"N%", "N%" is a positive number":3:"while -"N%" is a negative number. Both"o( 3z #    ԠͱҠ ͱР  !ͱ7ͱ ͱ7ͱͱ3ͱ:ͱ)խŠ Š ӮӠ+ͱӠͱҠͱ8ͱ(222)" AT LINE #"(218)(219)256:919)256:"(222)" AT LINE #"(218)(219)256:%:"ERR CODE: ";(222);" LINE#: ";(218)(219)2561002:T1%8T1%254T1%255Ħ(4)"CLOSE"(4)"OPEN ERR FILE"(4)"WRITE ERR FA 91301"($'12:"1 (213) 706-0661":? N(4)"OPENAM1.ERR"W#N(4)"WRITEAM1.ERR"%NER$:(251):(253)(254)256:(252)(N(4)"CLOSE"*N1002:P%(222):P%4P%8P%253P%9P%10P%12Ħ25$1::"++ERROR++":::"ERROR "0:23):IE'2:16:"ALGEBRA 1"::11:"Ver 1.3";:23:"31 Dec 81"|'9:2:"ERROR:"::2:"AT LINE #":2:"IN PROGRAM"':2:"CAUSE:"'38321,0:I1923:I:8:25):I "'20:9:"Edu-Ware Services, Inc.":13:"P.O. Box 22222":11:"Agoura, C(I):I5B$"Equation Reduction"*^B$;:28:C%(I);:34:5C%(I);:C%(I)4FL%1:38:38321,128:"*":38321,0:P%(I)2P%(I)6*b10,I1652252,I1652:I*e38321,128:FL%70203+g18:4:"Congratulations! You have":4:"successfully completed th    %"%":I:24::2':3,4277,4277,1883,1883,4X'38321,128:I24:I:21:19):I'2:27:"ALGEBRA":26:"MODULE #1":21:"VER 1.0";:31:"04 MAR 81"'38321,0:140,7272,7:136,4136,33277,33:136,33136,188 '18:22:"<9> Reset Menu":2H8%,K5%,H9%,K6%7DZ80:1002:K1%(222):K1%253Ħ251,255:252,K1%:253,(218):254,(219):26:80:(4)"RUNAM1.ERROR":LI317:I:6:30):I:5:15:"MODE USAGE" I03:P1%(I235):P1%P1%100C%:I28:8:M2$(I);:32((P1%)):P10,104,81 ,96,77 ,88,79 ,67,82 ,60, 90,53,106,49,138,45,156,45,162,51}oà 168,59,170,68,169,76,161,82,134,88,130,96,123,100xÇG3%,I0%,G4%,J1%,G5%,J2%,G6%,J3%,G7%,J4%,G8%,J5%,G9%,J6%,G0%,J7%,H1%,J8%,H2%,J9%{ÇH3%,J0%,H4%,K1%,H5%,K2%,H6%,K3%,H7%,K4%,%,A3%,D4%,A4%,D5%,A5%,D6%,A6%,D7%,A7%,D8%,A8%,D9%,A9%,D0%,A0%,E1%gÇB1%,E2%,B2%,E3%,B3%,E4%,B4%,E5%,B5%,E6%,B6%,E7%,B7%,E8%,B8%,E9%,B9%,E0%,B0%,F1%iÇC1%,F2%,C2%,F3%,C3%,F4%,C4%,F5%,C5%,F6%,C6%,F7%,C7%,F8%,C8%,F9%,C9%,F0%,C0%,G1%lÇD1%,G2%Dnà 9 75,147, 77,134, 75,125,68,108,64,97,64,74, 72,53, 80,46, 96,38,137,37,166,42 Xà 175,45,181,52,185,56,187,64,186,72,184,82,182,88,191,104,193,107,190,112 Zà 183,114,184,120,186,124,184,128,185,132,183,141,179,145,156,150,159,168 AdÇA1%,D2%,A2%,D33:1:3:38323,6:"EDU-WARE";:37894:"TM"o '38321,128:I35:I:28:11):I:4:29:"ALGEBRA 1":38321,0: Pà 91,24,64,104,126,64,105,40,77,88,56 QÇN1%,N2%,N3%,N4%,N5%,N6%,N7%,N8%,N9%,N0%,M1% RÃ2,3,0,6,1,0,2 SÁI06:C%(I):IM Uà 68,160,%,N3%N1%,N3%I3%N6%,N3%N1%,N3%I3N5%,N3%:I3X /N7%,N8%N9%,N0%:N9%,N8%N7%,N0%:q 37894:10000:50000z 200 K12 I05:C%(I):300:I,K:C%(6):300 26:80 (4)"RUN"F$ * ':1:7,8273,8273,1847,1847,8:55,127:C0%,G1%D1%,G2%A1%,D2%l G3%,I0%G4%,J1%G5%,J2%G6%,J3%G7%,J4%G8%,J5%G9%,J6%G0%,J7%H1%,J8%H2%,J9% H3%,J0%H4%,K1%H5%,K2%H6%,K3%H7%,K4%H8%,K5%H9%,K6%G3%,I0% +0 ,I302:I3%I3:N1%,N2%N1%I3%,N3%N1%,N4%N1%I3%,N3%N1%,N2%:N5,0::[ A1%,D2%A2%,D3%A3%,D4%A4%,D5%A5%,D6%A6%,D7%A7%,D8%A8%,D9%A9%,D0%A0%,E1% B1%,E2%B2%,E3%B3%,E4%B4%,E5%B5%,E6%B6%,E7%B7%,E8%B8%,E9%B9%,E0%B0%,F1% C1%,F2%C2%,F3%C3%,F4%C4%,F5%C5%,F6%C6%,F7%C7%,F8%C8%,F9%C9%,F0%#205,255::::255:ZZ(0):524576:27903R(4)"BLOADEWS.ROUTINES"lF$"ALGEBRA MODULE 1" COPYRIGHT 1981 EDU-WARE SERVICES, INC.1012,0(4);"NOMONI,O,C"I235238:I,0:I 10000:1002: P:1002:51     is module":4:"and may now go on to more advanced"_+j4:"topics of Algebra.":300:P%(6)1:+l19:4:"Asterisks (*) indicate concepts to":4:"review.":300:P%(6)2:,':3,4276,4276,1883,1883,4:3,28276,28:38321,128:2:2:38):17:"POST IM%9İ11000:11500:38321,0:3410y#I H1%10:H2%259:V1%36:V2%64:220:H2%126:V1%108:220:H1%143:220:14,39265,39#K 38321,128:J611:J:3:36):J:6:3:"A product of variables or constants":3:"is known as a term. Each componant"t$M 3:"oIs A Coefficient Of "N%B$:15:B$" Is A Coefficient Of "N%A$" 18:15:3390:"In "N%A$B$":":4:"NUMERICAL":3:"COEFFICIENT";:15:N%" Is The Numerical":16:"Coefficient":300:"> N%R(8)1:A$(R(26)64):B$(R(26)64):##H I1IM%:P%I:700:%","A$",";:3390:N%A$B$;","N%"("A$"-"R(9)")"! 8:15:3390:"Factors Of "N%A$B$" Are:":5:"FACTOR":15:1","N%","N%A$","N%B$","A$","B$","A$B$","N%A$B$<" 12:15:3390:"In "N%A$B$":"::3:"COEFFICIENT";:15:N%" Is A Coefficient Of "A$B$:15:A$" *N(4)"CLOSE":.U(4)"OPENAM1.PROGRESS"KU(4)"WRITEAM1.PROGRESS"aUI16:PR%(I):ItU(4)"CLOSE":0:1002:K1%(222):K1%253Ħ251,0:252,K1%:253,(218):254,(219):26:80:(4)"RUNAM1.ERROR":23:136,33136,188R'18:22:"<9> Reset Menu":22:"<0> STOP":6:26:"CONTENTS"'38321,128:I2123:I:22:17):I:22:23:"WHICH (0-9)?? ";:38321,0:" ": N26:80#N(4)"OPENAM1.PROGRESS"%N(4)"READAM1.PROGRESS"(NI16:PR%(I):I1%P1%100C%:I28:8:M2$(I);:32((P1%)):P1%"%":I:24::d':3,4277,4277,1883,1883,4'38321,128:I24:I:21:19):I'2:27:"ALGEBRA":26:"MODULE #1":21:"VER 1.3";:31:"31 DEC 81"'38321,0:140,7272,7:136,4136,33277,3I2,14166I2,156:63I2,15266I2,15569I2,152:I2:21:9:"<6>":X%55:Y%156:300:X%56:300: C%0:I235238:C%C%(I):I:C%0ı 38321,128:I124:I:1:40):I:38321,0:I317:I:6:30):I:5:15:"MODE USAGE"A I03:P1%(I235):P ":26:"Expressions":2103` 14:22:"<5> Rules For ":26:"Equation ":26:"Reduction " I201:66I2,11666I2,124:63I2,12066I2,12369I2,120:I2:17:9:"<5>":X%55:Y%125:300:X%56:300:( 17:22:"<6> Post Test "a+ I201:66 Definitions" 7I21718:N%I35I2:N%,76N%,92:N%3,88N%,91N%3,88:I2:13:I53:"<"I">":X%I3529:Y%92:300:X%X%1:300: 9:22:"<2> Number Line":26:"Operations ":2103 11:22:"<3> Sets ":2103` 12:22:"<4> Evaluating66,72S 84,5298,52105,44126,44133,52126,60105,6098,52:94,4997,5294,55 17,76121,76:17,116121,116:I14:N%I3518:N%,108N%,116:N%3,112N%,115N%3,112:I I16:PR%(I):I2100,2200,2300,2400,2500,2600:I:3: 48:22:"<1>"RUNAM1."P% K? 3:8:"START":7:2:"<9> MENU <0>"{ 42,2049,1284,1291,2084,2849,2842,20:63,2863,39 60,3663,3966,36 X%6:Y%44:300:29,5242,52 32,4929,5232,55 63,6442,5263,4084,5263,6463,76:60,7263,75P%(16384):P%1281040J 16368,0:P%P%176:(P%0P%6)P%91040c (P%)İ3000:24:: P%9PR%(1)6:I26:PR%(I)3:I:1035 $PR%(P%):38321,128:IP%:P%2100,2200,2300,2400,2500,2600:38321,0:22:37:P% .26:80:22000 8(4)9%:37900  0:1002:4 P:1002:51,0::A Z36864:I _26z ,X%,Y%X%22,Y%X%22,Y%16X%,Y%16X%,Y%: 20000 M2$(3) M2$(0)"DEFINITION":M2$(1)"RULE":M2$(2)"EXAMPLE":M2$(3)"SAMPLE PROBLEM" 37894:10000 2000  ):255::ZZ(0):(4)"NOMON I,O,C";37903:24576X(4)"BLOADEWS.ROUTINES"d63900{ ALGEBRA MODULE 1 COPYRIGHT 1981 EDU-WARE SERVICES, INC. ALL RIGHTS RESERVED.3:1:0:232,0:233,109 1000 38331,P9%:38332,D     pppp0pppppppp0pppppppp0pppppppp0ppppppppp0pppppppp0pppppppp0pppppppp0ppppppppppppp000p0ppp000p0ppp000p0ppp000ppp0ppppppp000p0ppp000p0ppp000p0ppp00pp0ppp0ppp  ) ) ;; ) - ;? ) ) ;;    ;????? )----- ; - ; - ? )- ? ) ? ) ;????? )----- pppppp ? - ??? --- ? - ????? -----     ?? ) -)- ;;;; -- ) ;;? ) ) ;; ) ) ;; ) ) ;; ) )   ) ;; ) ) ;; ) ) ;; ) ) ;; ) ) ;; - )- ??? -  ;?? ) ) ; ;; ) ) ; ) -- ; ) ; ) ) ; )  ? ; ;? -) ) ;; -)  ) ;  ? --- ?;? ) ) ;; ) ) ;; ) ) ;; ) ) ;; ) ) ;; ) )  ;; ) ; - -) ;? ) - ???? )---- ?; - ;? - - ;???? ) )--  ;??? )- -- ?? - -- ;; ) - ) ;? ) ) ;?; - ) ?? )- - ;?? ---  )  ) - ; - ; - ; - ; ) ??? --  ?? --- ?; - ) ? ) ???? )---- ; - ;? ) - ;??? )--  ;?? ---- ? ) ; ) ; ) ; ) ; ) ;????? )-----  )-- ??? ) ; - ; - ; - ; - ; ) ??? )--  -- ??? ) ;? ) ; ) ? - ; - ;? -  )----- ;????? ) ; ) ; ) ; ) ; ) ; ) ;????? )-----  )----- ;????? ) ;  )- ; )-----  )-----    - ? - ; - ? ) ; ) ? - ; - ? -  - ;? - ; - )- ; )- ? )- ? )    - ;? - ;? -  )-----  )-----     )- ? )- ?- ; )--- ;??? ) ?    ) ;? - ;? - ; - ;? - ;? )    ) ? )- ?;??? ? -      )--- ;???  )--- ;???     - ; )--- ;??? ??        - ?      ? -  )--- m)!>BFJNRVZ^b f j n r  ? - ? )--- ;??? - ? -       )--- ;?               |@<p@|@@<<@ | 0 @@p|p| @ @ 0L<@< @ 0@ @@|@L |p @ "M1$(I):I:300:,.H1%10:H2%259:V1%36:V2%48:220:V1%108:V2%56:220:9:38:">":24,67263,67-.38321,128:I which tells"::3:"how many times a base is to be used"::3:"as a factor.":' 3:"A ";:B$"power":210:"is a number which can be"::3:"expressed as a product in which all"::3:"the factors are the same.":300:](hH1%10:H2%259:V1%36:V2%12WER IS "(AN%):AN%(TP$)B$"RIGHT":C%(2)C%(2)1N&Z 21:22:B$:300:I:j&M%4100,4200,4300,4400&6:3:"A ";:B$"base":210:"is a number which is used as a"::3:"factor two or more times.":P'3:"An ";:B$"exponent":210:"is a number3:"WHEN";:22:"WHAT IS THE VALUE":22:"OF THE TERM?"%U 4:A$" ";:N8%N%:N%5:240:A%;:T$(N8%)A$:((1)1.5)T$T$B$:B%R(9):AN%AN%B%:11:B$" ";:240:B%4&W 19:3:"THE VALUE OF THE":3:"TERM "T$" IS?":MX%5:HT%23:VT%18:390:B$"NO. ANSf the term is called a factor. In":3:"the left box a term is shown, and":3:"each of its variables is assigned a"$P 3:"value. Multiply the value of each of":3:"the factors to find the term's value":38321,07%R T$"":A%R(9):3390:AN%N%A%:15: 67`ijT`U`0μ L/`Ӡ INTBAS.DATA FPBAS.MENTEDL  L ((((PPPP !!""## !!""## !!""##8jh L x ! sx ***** END OF ASSEMBLY `LLܔLLL/ɠ| J LtE)% J i  L$-m i /`$'$L$%% ?` JE Lt LRi`8$-m i ` LTRWLWUP >* <"">**""""!0 &2"& *&"&2&""*  >  2 "" """" *&""""""!"0",,<>"""">1, >"><"">"","">> ><,<"*" "><& * " " "" """"6&""""""!"" 0 2* "" "" >"""""""2" "-"0"&2" *"", "*6 >>8>>><""""<>""!"">>> 8 >(, & > "" >>""2" "2"* ""-0<&2>"*""&2""*U(4)"WRITEAM1.PROGRESS"/UI16:PR%(I):IBU(4)"CLOSE":e0:1002:K1%(222):K1%253Ħ251,0:252,K1%:253,(218):254,(219):26:80:(4)"RUNAM1.ERROR":32:"<0> STOP":6:26:"CONTENTS"s'38321,128:I2123:I:22:17):I:22:23:"WHICH (0-9)?? ";:38321,0:" ": N26:80#N(4)"OPENAM1.PROGRESS"%N(4)"READAM1.PROGRESS"(NI16:PR%(I):I*N(4)"CLOSE":U(4)"OPENAM1.PROGRESS"ILE"T1$:T1%:T2%((4)"CLOSE"463903M(4)"OPEN ERR FILE"f(4)"READ ERR FILE"yT2$:T3%:T4%(4)"CLOSE"(4)"RUNAS.ERR"(2:K1%(222):K1%253Ħa/251,6:252,K1%:253,(218):254,(219):26:80:(4)"RUNAM1.ERROR":":)(219)256:lC%(1)C%(1)13..38321,128:20:4:B$:38321,0:O. N(4)"OPENAM1.PROGRESS"k.#N(4)"READAM1.PROGRESS".%NI16:P%(I):I:(4)"CLOSE".&N.U(4)"OPENAM1.PROGRESS".U(4)"WRITEAM1.PROGRESS".UI16:P%(I):I:(4)"CLOSE".U/0:10021517:I2:3:36):I2:15:3:"What number is associated with the":3:"coordinate on the number line to":3:"which the arrow points?"..38321,0:14,111265,111:MX%3:HT%4:VT%18:390:B$"WRONG. CORRECT ANSWER IS "(N%):(TP$)N%B$"RIGHT":I118:220:6:3:"If X denotes any real number and N":3:"denotes any positive integer, then":(k5:55,127:"X";:P8$"N":250:N%5:230:"X";:N%3:230:"X";:I15:230:I:"X":37894(m66,8170,88189,88196,81:138,88138,92:13:19:"N Factors"O)zT4$(0)"subtracted":T4$(1)"divided":T5$(0)"addition":T5$(1)"multiplication":T6$(0)"subtraction":T6$(1)"division"C%0:M%0:P%0:700:73,3273,183 I14:H1%21:V1%I2420:H2%35:V2%16:220:Y%V1%16:38,Y%38,Y%738,Y%635,Y%3:38,Ytiply":OP$(4)"divide":AD$(1)"to":AD$(2)"from":AD$(3)"by":AD$(4)"into"M2$(1)"DEFINITION":M2$(2)"RULE":M2$(3)"EXAMPLE":M2$(4)"SAMPLE PROBLEM"T1$(0)"subtract":T1$(1)"divid":T2$(0)"added":T2$(1)"multiplied":T3$(0)"add":T3$(1)"multiply"10000:TP%(13),OP$(4),M1$(5),M2$(4),EV%(16),E2%(16)@TH%1000WR(I)((1)I)1M1$(1)"COMBINING LIKE TERMS":M1$(2)"SIMPLE EQUATIONS":M1$(3)"ORDER OF OPERATIONS":M1$(4)"EQUATION REDUCTION TEST"JOP$(1)"add":OP$(2)"subtract":OP$(3)"mul:E2%(P2%)N9%:EV%(I91)N9%:I9I91:995>E2%(P2%)EV%:995EV%3P2%P2%1:N8%EV%(I91)TH%:N7%EV%(I91)TH%:EV%920,910:E2%(P2%)N9%TH%:I9I91:EV%(I9)N9%TH%:995E2%(P2%)EV%I9:P1%P2%:I90P1%:EV%(I9)E2%(I9):I9:337894:11N8%EV%(I91)TH%:N7%EV%(I93)TH%:EV%(I92)920,910,940:I9I94:E2%(P2%)N9%TH%:995qE2%(P2%)EV%:995EV%22P2%P2%1:E2%(P2%)(EV%(I91)TH%)2TH%:995E2%(P2%)EV%:995(EV%3P2%P2%1:N9%((EV%(I91)TH%)(EV%(I91)TH%))TH%PK%(37):PK%:"2 ";:55,127:37,PK%:978KEV%64EV%80ĺ(EV%);:978[N%EV%:230eI9:P2%1:AL%0:I90P1%:P2%P2%1:EV%EV%(I9):ST%982,984,986,988,990EV%64EV%80E2%(P2%)EV%:995E2%(P2%)AL%(EV%64)TH%:995[EV%EV%4R(3)3EV%(P1%1)11:EV%(P1%2)AL%:EV%(P1%3)R(3):AL%AL%1:EV%(P1%4)AL%:EV%(P1%5)12:P1%P1%5:EV%12EV%5AL%AL%((1)2(AL%3)):P1%P1%1:EV%(P1%)AL%961I90P1%:EV%EV%(I9):EV%80ĺEV%TH%;:978*EV%22Č37894:)AL%65:P1%0:EV%(0)AL%:EC%0:MC%0dEV%EV%(P1%):P1%10āI91AL%64:AL%(I9)R(3):I9:(EV%64EV%12)EC%2R(4)4P1%P1%1:EV%(P1%)22:EV%22:EC%EC%1(EV%20EV%12)P1%P1%1:EV%R(3(MC%2)):EV%(P1%)EV%:EV%3MC%MC%1v368,0:PC0:P9%40:D9%40@ PK%(16384):PC250(PC250)İ10Y PCPC1:PK%128714| 16368,0:PK%155PK%205ı 724 :722 63900 PK%1551090 1026 N9%N8%N7%: N9%N8%N7%: N9%N8%N7%:N9%N8%N7%:84):710:PK%1284204 16368,0:PK%155CH%0:Y CH%PK%176:CH%MN%CH%MX%420_  XA2$A1$:A1$(R(26)64):A1$"O"A1$"I"A1$"S"A1$A2$600 [ 38321,0:2:2:"C"C%" P"P%:2:"M"M%: PK%(16384):PK%155(C%)ı 16(TP%(PS%1));- P1%8PS%PS%PS%1:392P P1%21PS%MX%PS%PS%1:392q P1%57(P1%48P1%45)392 HT%PS%:(P1%);:PS%PS%1:TP%(PS%)P1%:PS%MX%392 TP$"":I31PS%:TP$TP$(TP%(I3)):I3:HT%PS%:MX%1PS%):: PK%(163710:PK%128303, 116368,0:PK%1603037 4206:w I3113:TP%(I3)32:I3:38321,0:PS%0:VT%:HT%PS%:MX%) 38321,128:HT%PS%:(TP%(PS%1));:38321,0 P1%(16384):710:P1%128394 P1%P1%128:16368,0:P1%13410 HT%PS%:H2%,V1%H1%H2%,V1%V2%H1%,V1%V2%H1%,V1%:_ H1%(36)7:V1%(37)88:1):N%H1%,V1%: H1%(36)73:V11%(37)84:2):N%H1%,V1%: ,23:2:38321,128:"** PRESS TO TURN PAGE. . .":16368,0:7,175272,175 /PK%(16384):7 2790324576#63900@(4)"BLOADEWS.ROUTINES"G3Q 1000t 38331,P9%:38332,D9%:37900:z0:1002:P:1002:51,0::31744:H1%(36)72:H2%7(B$)4:V1%(37)83:V2%12:B$;" ";:220. H1%,V1%H1%                    p15:15:"N":3:"You call the Nth power of X.";:55,127:13:"X":37894)r18:3:"The small raised symbol N is called":3:"an exponent.":300:6:P%2:700:H1%10:H2%259:V1%36:V2%128:2207*u6:3:"The exponent tells the number of":3:"tim3:"value. Evaluate the term and enter":3:"its value into the box to the right."b7R-38321,0:~7 N(4)"OPENAM1.PROGRESS"7#N(4)"READAM1.PROGRESS"7%NI16:PR%(I)::(4)"CLOSE"7(N37894:7U26:80:(4)"OPENAM1.PROGRESS" 8U(4)"WRITEAM1"In the left box a variable is given":3:"a value. Evaluate the expression":3:"below that and enter its value into"6,3:"the box to the right.":6P-11000:6:3:"In the left box a term is shown and":3:"each of its variables is assigned a"S7Q-5,26a5'38321,128:I23:I:8:32):I:2:13:"EVALUATING EXPRESSIONS":38321,0:49,7272,7:5*P%I:700:H1%10:H2%259:V1%36:V2%40:220:H2%126:V1%108:V2%64:220:H1%143:220:38321,128:6:J69:J:3:36):J5*14,39265,39:6:w6,6:3::4:FF%ĺ"Arrows show areas of weakness.":PR%(4)2:I14:FF%(I)ĢI27:34:"<--"f4FF%ĂI:60304"Arrow shows area requiring further":5:"review.":PR%(4)6:FR%27:34:"<--"422000:5':3,4276,4276,1883,1883,4:3,26276,26:45,44":21,47258,47:I816:I:33:5):IR3xI1719:I:4:34):I:21,127258,127e3zC%9FF%60203}17:4:"Congratulations! You have passed":5:"unit FOUR and may now go on to":5:"unit FIVE."3PR%(4)1:PR%(5)1PR%(5)6322000:T417erical coefficients of":11:"the terms when they are to":11:"be subtracted.":300:H1%10:H2%259:V1%36:V2%16:220:V2%48:220:V1%84:V2%16:220:V2%88:220:6:16:"LIKE TERMS"I12:N7%R(5)4:N8%R(N7%1):600:A$A1$:R(3)3İ600:A$As as the original terms.":]3:"<2> The numerical coefficient of the":7:"result is:":7:" The sum of the numerical":11:"coefficients of the terms":11:"when they are to be added":19:"-OR-"V7:" The difference of the":11:"numd sum or"::3:"difference of like terms as single":q93:"terms, we ";:B$"combine like terms.":210:300:H1%10:H2%259:V1%36:V2%136:220:6:3:"When two like terms are combined:":3:"<1> The result has the same variable":7:"factor1"K$M%2100,2200,2300,240046:3:"Similar terms having the same"::3:"variables as factors, with"::3:"corresponding variables having the":673:"same exponent are called ";:B$"like terms.":210:15:3:"When we express the indicate":I14:I26:5:"<"I"> "M2$(I):I::5:"<0> Return To CONTENTS"kMN%0:MX%4:420:CH%0İ206:1010 M%CH%:P%1:700:206:P1%M%234:P2%(P1%):P2%255ĹP1%,P2%1 IM%9:C%2000,3000,4000,6000:1010B26:80G(4)"RUNALGEBRA MODULE ?? ";:38321,0:" "EMN%0:MX%4:420:C%CH%:22:34:C%:C%1090[CH%4İ206:1035M%0:700:206:3:38321,128:8:32):24(M1$(C%))2:M1$(C%):I2123:I:5:25):I:22:6:"WHICH ONE (0-4) ?? ";D38321,0:" ":6:13:"MODE SELECTION%641,Y%3@I34:5:"<"I">":I26:13:"<"I"> "M1$(I):I14,14621,14056,14063,14656,15421,15414,146:19:5:"<0>"16:13:"<0> Return to ALGEBRA Menu":6:21:"CONTENTS":38321,128:I2123:I:14:22):I:22:15:"WHICH ONE (0-4) 94:13:5:N8%:16:24:"EXPONENT":19:N8%:9:"BASE":21:24:"POWER",157,122129,122129,126126,124:129,126132,124:87,140108,140106,137:108,140106,143-163,158163,146160,148:163,146166,148:300:H1%10:H2%259:V1%44:V2%88:700:220107,98:300:a+H1%10:H2%259:V1%44:V2%128:220:N7%R(6)2:N8%R(3)1:AN%N7%N8%:55,127+7:3:"The "NM$(N8%)" Power":17:"Of "N7%::3:N7%" ";:N%5:230:N7%;:I2N8%:N%3:230:N7%;:I:N%5:230:AN%:G,17:17:N7%" ";:230:AN%:378es the base occurs as a factor in":3:"the product.":*w5:"EXPONENT":23:"THE NTH POWER":27:"OF X":5:"BASE":55,127:11:16:"X ";:N%5:230:37894:11:17:"N"+z87,74116,74115,79113,77:115,79118,77:59,100105,100105,95103,98:105,95( 7:"Perform the indicated operation":7:"to obtain an equivalent equation":7:"in which only the variable is a":7:"member of the equation.") 3:"<2> Check that when the value":7:"obtained for the variable":7:"replaces it in the equation,"in which a":3:"variable and a constant are related":3:"by the operation of "T5$(J):3:"or "T6$(J)":"( 3:"<1> Use the inverse operation,":7:T3$(J)"ing or "T1$(J)"ing (as the":7:"case may be) the constant to":7:"both members of the equation."e"::3:"operations of "T5$(0)", "T6$(0)",":&+ 3:T5$(1)", or "T6$(1)", we can"::3:"use the inverse operation to obtain"::3:"the variable itself.":300:& J01:P%J1:700:H1%10:H2%259:V1%36:V2%136:220:6:3i' "To solve an equation ng a number"::3:"undoes the effect of having":%& 3:T4$(J)" the number, "T5$(J)::3:"and "T6$(J)" are called"::3:B$"inverse operations.":210:300:J:P%4:700:6.&) 3:"Whenever a variable and a number of"::3:"arithmetic are related by thomain) of the variable."::3:"To ";:B$"solve the equation":210:"means to find":$! 3:"the solution set.":300:J01:P%J2:700:6:3:"Since "T1$(J)"ing a number undoes the":2%$ 3:"effect of having "T2$(J)" that"::3:"number, and "T3$(J)"i# M%3100,3200,3300,3400# 7:3:"An ";:B$"equation":210:"is a sentence which uses"::3:"the symbol ";:N%5:240:"to state that two"::3:"algebraic expressions are equal.":U$ 3:"The solution set of an equation is a"::3:"subset (the dEFFICIENT":3:"OF "T$":":HT%10:VT%20:MX%5:390:B$"WRONG. ANSWER IS "(AN%)y"w AN%(TP$)B$"RIGHT":C%(1)C%(1)1"y 21:10:B$:300:I:# H1%10:H2%259:V1%36:V2%72:220:V1%116:V2%56:220:38321,128:J613:J:3:36):J:6:14,39265,397:3:AN%T$;:J2N7%:18:J1011:N8%R(9):OP%R(2):N%OP%:230:N8%;:R(4)4İ600:(T$,1)A1$;:2420!o R(4)4ĺT$;:37894:17:J1072(T$):R(3)1;:55,127:2420!r AN%AN%N8%1(OP%1):T$;P"t J:37894:19:3:"AND ENTER THE NUMERICAL COe terms in an":3:"expression. Simplify the expression" h 3:"below and enter the numerical":3:"coefficient of the indicated term." i 38321,0:16:3:"COMBINE LIKE TERMS" j N7%R(3)1:600:T$A1$:600:R(4)4T$T$A1$i!m 55,127:AN%R(9):1:V2%56:220:38321,128:J613:J:3:36):J:6:14,39265,39c 3:"'Like terms' are those that differ":3:"only in their numerical coefficients":3:"Combining like terms means to add"8 e 3:"or subtract the numerical":3:"coefficients of the lik";:N%OP%:230:" "N8%A$:3:N%5:230:N%11:230:N7%" ";:N%OP%:230:" "N8%;:N%12:230:A$ N9%N7%N8%:OP%2N9%N7%N8% 3:N%5:230:N9%A$:37894:300:` I1IM%:P%I:700:IM%9İ11200:2409?a H1%10:H2%259:V1%36:V2%72:220:V1%116$A1${ 55,127:9:I2017:N7%A$","N8%A$:37894:R(3)3N7%R(3)1:9:I2015(A$)2:N7%;:36,(36)3(A$)2:N7% I:12:11:"COMBINING LIKE TERMS":N7%R(9):N8%R(9):600:A$A1$:R(3)3İ600:A$A$A1$] OP%R(2):55,127:15:5:N7%A$" .PROGRESS"-8UI16:PR%(I):I:(4)"CLOSE"?8U37894:300:b80:1002:K1%(222):K1%253Ħ8251,4:252,K1%:253,(218):254,(219):26:80:(4)"RUNAM1.ERROR":BFJNRVZ^b f j n r  o-3390:N7%R(3)1:N8%R(3)1:55,127:9:3:A$" "B$" ";:N%5:230:" ";:I1N7%:A$;:I:I1N8%:B$;:I-37894:9:5:N7%;:9:N8%:3390:TP$(N%)A$:55,127:14:3:260:" ";:N%5:230:" ";:260:260-37894:13:11:2:300:.0I1IM%:򍲵s are"::3:"called ";:B$"numerals.":210:300:7:4:"A number is an idea that we can"::4:"talk and think about; a numeral is":4:"the name or symbol for a number.":15#4:"REMEMBER THAT A NUMERAL AND THE":4:"NUMBER THAT IT REPRESB26:80(G(4)"RUNALGEBRA MODULE 1".KJM%2100,2200,2300,240047:3:"A ";:B$"symbol":210:"is a picture, figure, or":73:"written word used to represent an"::3:"object, person, or idea."2915:3:"Names or symbols for numberSELECTION":I14:I26:5:"<"I"> "M2$(I):I::5:"<0> Return To CONTENTS"tMN%0:MX%4:420:CH%0İ206:1010 M%CH%:P%1:700:206:Z1%M%234:Z2%(Z1%):Z2%255ĹZ1%,Z2%1 C%2000,3000,4000,5000:1010826:80=(4);"RUNAM1.1.1"  ONE (0-5) ?? ";:38321,0:" "TMN%0:MX%5:420:C%CH%:22:34:CH%:(CH%)1090dCH%51080M%0:700:206:3:38321,128:8:32):24(M1$(C%))2:M1$(C%):I2123:I:5:25):I:22:6:"WHICH ONE (0-4) ?? ";M38321,0:" ":6:13:"MODE ,Y%3:38,Y%641,Y%3KI34:5:"<"I">":I26:14:"<"I"> "M1$(I):I14,17221,16456,16463,17256,18021,18014,172:22:5:"<0>"18:14:"<0> Return To ALGEBRA Menu":6:21:"CONTENTS":38321,128:I2123:I:14:22):I:22:15:"WHICH"ZERO":NM$(1)"ONE":NM$(2)"TWO":NM$(3)"THREE":NM$(4)"FOUR":NM$(5)"FIVE":NM$(6)"SIX":NM$(7)"SEVEN":NM$(8)"EIGHT":NM$(9)"NINE"C%0:M%0:P%0:700:73,3273,183I15:H1%21:V1%I2420:H2%35:V2%16:220:Y%V1%16:38,Y%38,Y%738,Y%635"DIVISION""R(I)((1)I)1M1$(1)"NUMERALS":M1$(2)"OPERATORS":M1$(3)"GROUPING SYMBOLS":M1$(4)"EQUALITY":M1$(5)"DEFINITIONS TEST"G(N)((1)N)M2$(1)"DEFINITION":M2$(2)"RULE":M2$(3)"EXAMPLE":M2$(4)"SAMPLE PROBLEM"NM$(0)(PC250)İ10&PCPC1:PK%128714I16368,0:PK%155PK%205ıS724^:722j63900|PK%1551090102537894:10000:TP%(13),OP$(4),M1$(5),M2$(4) OP$(1)"ADDITION":OP$(2)"SUBTRACTION":OP$(3)"MULTIPLICATION":OP$(4) ";:N%O2%:521:N6%:t N4%" ";:N%O1%:521:" "N5%;:N%BR%:521:" ";:N%O2%:521:N6%" ";:N%BR%1:521:38321,0:2:2:"C"C%" P"P%:2:"M"M%:PK%(16384):PK%155(C%)ı16368,0:PC0:P9%40:D9%40 PK%(16384):PC2504%(N5%N6%)0))501 , N3%N1%N2%:> N3%N1%N2%:P N3%N1%N2%:w N3%N1%N2%:N1%N2%N3%İ500:513}  N1%" ";:521:N2%;: N%((36)2)73,(37)84: N%BR%:N4%;:521:" ";:N%O1%:521:N5%" ";:N%BR%1:521:"710:PK%1284200 16368,0:PK%155CH%0:U CH%PK%176:CH%MN%CH%MX%420[ w N1%R(9):N2%R(N1%): N4%R(9):N5%R(N4%):N6%R(N5%):O1%R(3):O2%R(3):BR%R(3)29 O1%2((O2%2N4%N5%N6%0)(O2%3N4%N5%N6%0)(O2%1NP%(PS%1));) P1%8PS%PS%PS%1:392L P1%21PS%MX%PS%PS%1:392m P1%57(P1%48P1%45)392 HT%PS%:(P1%);:PS%PS%1:TP%(PS%)P1%:PS%MX%392 TP$"":I31PS%:TP$TP$(TP%(I3)):I3:HT%PS%:MX%1PS%):: PK%(16384):PK%128303( 116368,0:PK%1603033 4206:s I3113:TP%(I3)32:I3:38321,0:PS%0:VT%:HT%PS%:MX%) 38321,128:HT%PS%:(TP%(PS%1));:38321,0 P1%(16384):710:P1%128394 P1%P1%128:16368,0:P1%13410 HT%PS%:(TH2%,V1%H1%H2%,V1%V2%H1%,V1%V2%H1%,V1%:[ 240:1):N%H1%,V1%:H2%15:V2%16:220 H1%(36)73:V11%(37)84:2):N%H1%,V1%: ,23:2:38321,128:"** PRESS TO TURN PAGE. . .":16368,0:7,175272,175 /PK%(16384):710: 6 2790324576#63900@(4)"BLOADEWS.ROUTINES"G3Q 1000t 38331,P9%:38332,D9%:37900:z0:1002:P:1002:51,0::31744:H1%(36)72:H2%7(B$)4:V1%(37)83:V2%12:B$;" ";:220. H1%,V1%H1%                    al expressions clear,":B$"grouping symbols"::3:210& "are used to show"::3:"which operations to perform first.":300:P%2:700&500:I11152:I2:19:N%1:520:I116,I84:I1157,I84:I8'6:3:"A ";:B$"grouping symbol":210:"is a%M%4100,4200,4400,4300%6:3:"A ";:B$"numerical phrase":210:"is any numeral"::3:"written as an expression that":%3:"involves numerals together with"::3:"signs of operation.":156& 3:"To make the meaning of some"::3:"numeric26:V1%116:220:H1%143:220:16:3:"THE NUMERAL:";:22:"IS ANOTHER WAY OF":22:"WRITING":6$R N%R(4):500:N%510,511,512,513:520:VT%18:HT%23:MX%5:390$U B$"RIGHT":(TP$)N3%B$"NO. ANSWER IS "(N3%)$W 20:23:38321,128:B$:300:I:iven that is the symbol for":3:"addition, for subtraction, for":3:"multiplication, and for division,"#M 3:"find a simpler numeral for the one":3:"displayed below.":38321,0:14,47265,47#N 188,44:274,52:3213,52:4151,60_$P H2%1105:V2%16:220:" N%(J1)2I:I65:J2219:OP$(N%)" I68:J2320:500:N%510,511,512,513:520:" "N3%:5J161108,I4852:J,I:300:"H I08:P%I1:700:H1%10:H2%259:V1%44:V2%48:220:38321,128:J711:J:3:36):Jq#K 7:3:"G$"into":N3$"quotient":! 6:3:"The symbols , , , are used to":3:"represent the four most common":3:"operations between two numerals.":H1%10:H2%259:V1%36:V2%32:220" I14:II2177,34:I:I12:J12:V1%I4828:H1%J154144:H2%o numerals you should":l 3:N1$" the second numeral "N2$::3:"the first, giving the "N3$".":300:I: N1$"add":N2$"to":N3$"sum": N1$"subtract":N2$"from":N3$"difference": N1$"multiply":N2$"by":N3$"product":! N1$"divide":N20:d I14:P%I:700:17,5210,5210,148269,148269,52262,52:H1%17:V1%44:H2%245:V2%16:220 7:4:" ";:N%I:240:"":I3291,3292,3293,3294:10:3:"When you see this symbol "; N%I:230:::3:"between tw3:"The following symbols are used to":3:"represent operations performed upon":3:"two numerals:" H1%10:V1%76:H2%259:V2%92:220:10,92269,92:59,7659,168:11:3:"SYMBOL";:19:"OPERATION"$ I14:I212:5:N%I:240:11:OP$(I):I& 30(N1%):210:"BEGINS WITH '"(B$,1)"'.":TP%2:w 500:B$NM$(N1%):"HALF OF ";:210:"IS '"(B$,(B$)2)"'.":TP%2: 500:N1%2(N1%2)(N1%)2489 B$NM$(N1%):"HALF OF ";:210:"IS "NM$(N1%2)".":TP%1: M%3100,3200,3300,3400d 6::210:TP%1:G B$"8"".":"THE SKATER MADE A FIGURE ";:210:TP%2:~ B$"X"".":"THE SUM OF V AND V IS ";:210:TP%1: 500:B$"'"NM$(N1%)"'":210:"IS A WORD.":TP%2: B$NM$((1)63)".":"I CAN COUNT TO ";:210:TP%1:. 500:B$NM$ ";:38321,128:B$:38321,0:300:I:l 500:B$(N1%N2%):210:"IS THE RESULT OF "N1%" + "N2%".":TP%1: 500::B$NM$(N1%)".":"THERE ARE "NM$((B$)1)" LETTERS IN ";:210:TP%2:  N1%(1)9:B$NM$(N1%1)".":"THE DIGIT AFTER "NM$(N1%)" IS ";%124:V2%48:H1%10:H2%259:220:17:3:"DOES ";:210:"REFER TO:";:26:"<1> A NUMBER"::20:"OR";:26:"<2> A NUMERAL":14,159139,159m 38321,128:21:3:"WHICH ONE (1-2) ??";:38321,0:MN%1:MX%2:420o B$"RIGHT ":CH%TP%B$"WRONG"%r CH%"c 7:3:"Does the emphasized word below":3:"refer to a number or a numeral, a":3:"symbol for a number?":38321,0:14,47265,47e 500:T1%(N1%)2405h V1%84:220:13:3:T1%(N1%)1:N1%12480,2481,2482,2483,2484,2485,2486,2487,2488,2489j V1ght":3:"objects:":16 6:"8 EIGHT VIII OCHO"::4:"6 + 2 18 - 10 4 X 2 @@@@@@@@":V1%104:H2%238:H1%17:V2%48:220:300:` I09:T1%(I)0:I:I08:P%I1:700:H1%10:H2%259:V1%44:V2%32:220:38321,128:J79:J:3:36):JENTS ARE NOT":4:"THE SAME THING."QH1%17:H2%245:V1%108:V2%32:220:300:7:3:"A number may be represented by many":3:"numerals. For example, each of the":3:"following objects may be used as a"3:"number name for a collection of eiN3%1" indicates that the"::3:"two numerals are not equal."T6300:P%2:700:666:3:"When one numeral is greater than"::3:"another, such as "N3%" and "N3%1", we write:":75:N3%" ";:N%8:240:N3%1" OR "N3%1" ";:N%7:240:N3%"."::bol points to the smaller number.":300:5500:510:7:3:"To indicate that the numerals ";:N%1:520:::3:"and "N3%" represent the same number, we":53:"write:"::11:520:N%5:240:N3%".":16>63:"Writing ";:N%1:520:" ";:N%6:240:y4XP%2:700:6:3:"These are the symbols used to compare":3:"numerals:":H1%10:H2%259:V1%68:V2%56:220:10:59004ZH1%10:H2%259:V1%132:V2%32:220:18:3:"Notice that in an inequality that":3:"involves the symbols < or >, the")5]3:"sym40:"is placed between":3:"two numerals, it indicates that the":3:"numerals represent the same number."4U:14:3:"For any two numbers of arithmetic,":3:"we can say that one must be equal":3:"to, greater than, or less than the":3:"other.":300er.":::3:"The symbol ";:N%10:230:"is read 'GREATER THAN":23:"OR EQUAL TO', and ";:N%9:230:"is read as"::3:"'LESS THAN OR EQUAL TO.'":300:2PH1%10:H2%259:V1%44:V2%32:220:V1%100:V2%40:220k3S7:3:"When the symbol ";:N%5:2OT"::3:"equal to another is called an":l13:B$"inequality,":210:"represented by ";:N%6:230:3001P%2:700:7:3:"An inequality contains numerals"::3:"that are less than, ";:N%8:230:"or greater":A23:"than ";:N%7:230:"the oth5300,5400b07:3:"A statement declaring that two"::3:"numerals represent the same number":03:"is called an ";:B$"equality.":210:" Equality is"::3:"symbolized by the equal sign: ";:N%5:230+116:3:"A statement that one number is NN5%:O1%510,511,512,513:N1%N3%:N2%N6%:O2%510,511,512,513:N%O2%:4418/?9:15:523:16:28:523:N1%N5%:N2%N6%:O2%510,511,512,513:N1%N4%:N2%N3%:O1%510,511,512,513:N%O1%/B18:29:520:20:32:N3%:7:OP$(N%):300:I: 0M%5100,5200,:H1%,108268,108:13:8:"HOW TO PROCEED";:30:"SOLUTION".516:3:"<1> WRITE THE NUMERICAL":7:"EXPRESSION":3:"<2> SIMPLIFY WITHIN THE":7:"GROUPING SYMBOLS":3:"<3> THEN PERFORM THE".8R(2)4410,4415K/:9:16:522:16:29:522:N1%N4%:N2%7-390:B$"RIGHT":(TP$)N3%B$"ANSWER IS "(N3%)\-20:21:38321,128:B$:300:I:-0I15:P%I:700:H1%10:H2%259:V1%36:V2%48:220:6:3:"Find a simpler numeral for the":3:"numerical expression:":501;.3V1%92:V2%80:220:H2%175:220ERAL:";:21:"IS THE SAME AS:"S,18:6:VT%18:HT%23:MX%5:501:R(2)4308,4310,523:N1%N5%:N2%N6%:O2%510,511,512,513:N1%N4%:N2%N3%:O1%510,511,512,513:4313,522:N1%N4%:N2%N5%:O1%510,511,512,513:N1%N3%:N2%N6%:O2%510,511,512,513are the grouping symbols:"+::3:"Simplify the numeral within the":3:"grouping symbol to find a":3:"simple name for the numeral below":38321,0:14,47265,47,J1116:JJ35357,55:J:H2%119:V1%116:V2%48:220:H1%136:220:16:3:"THE NUM*r3:"When there are two or more grouping":3:"symbols in an expression, perform":3:"the operations on the innermost":3:"symbols first.":300:+I19:P%I:700:H1%10:H2%259:V1%44:V2%56:220:38321,128:J712:J:3:36):J:7:3:"These DDITIONS AND":8:"SUBTRACTIONS, PERFORMING THEM":8:"IN ORDER FROM LEFT TO RIGHT.":300*pP%2:700:V2%80:220:8:3:"To simplify a numerical phrase which":3:"involves parentheses, first perform":3:"the operations within the":3:"parentheses.":104:220:8:3:"In numerical expressions involving":3:"numerals along with signs of":3:"operation:":(k4:"<1> DO ALL MULTIPLICATIONS AND":8:"DIVISIONS FIRST, PERFORMING":8:"THEM IN ORDER FROM LEFT TO":8:"RIGHT.":Y)m4:"<2> THEN DO ALL A pair of"::3:"parentheses or any other symbol that":'3:"includes an expression for a number.":::3:"PARENTHESES"::3:"BRACKETS":'3:"BRACES"::3:"BAR";:19:520:126,156161,156:21:500:21:N1%:300:j(hH1%10:H2%259:V1%52:V2%:22:B$:300:I:..M%4100,4200,4300,4400.7:3:"When we determine the number which an"::3:"algebraic expression represents for"::3:"specified values of its variables, we":0/3:B$"evaluate the algebraic expression;":210:15:3:"that R(50):N8%R(50):(OP%3N8%N7%(N8%N7%))(OP%4N7%10N8%10)3410-U 55,127:17:3:A1$;:N%OP%:230:N7%;:N%5:230:N8%:37894:OP%910,920,930,940:HT%25:VT%17:MX%5:390-W B$"ANSWER IS "(N9%):N9%(TP$)B$"RIGHT":C%(2)C%(2)1.Z 21d in the problem below to both":3:"sides of the equation and obtain the",M 3:"value for the variable that makes":3:"the equation true.":38321,0:17,39265,39,N 14:3:"WHEN";:22:"WHAT IS THE VALUE",P 600:22:"OF "A1$"?":OP%R(4)I-R N7%f":21:"the top equation.)"*+ 300:J:V+H I1IM%:P%I:700:IM%9İ11300:3406+I H1%10:H2%259:V1%36:V2%48:220:V1%100:V2%72:H2%126:220:H1%143:220:38321,128:J610:J:3:36):JJ,K 6:3:"Apply the inverse of the operation":3:"use:N8%l* 11:3:"Then "A1$;:N%OP%:230:N7%;:N%OP%(OP%):230:N7%;:N%5:230:N8%;:N%OP%(OP%):230:N7%* 17:3:"And "A1$" ";:N%5:230:OP%910,920,930,940:" "N9%:37894+ N8%OP%(OP%):13:20:"("OP$(N8%)" "N7%" "AD$(N8%):21:"both members o:7:"the result is true."() 300:J:) OP%(1)2:OP%(2)1:OP%(3)4:OP%(4)3:J14:OP%J:P%J:700:H1%10:H2%259:V1%44:V2%112:220:55,127) N7%R(9):N8%R(9):OP%3N8%N7%(N8%N7%)3303* 600:7:3:"If "A1$;:N%OP%:230:N7%;:N%5:230 the numeral"/53:"(or numerals enclosed in grouping":3:"symbols) to its left as a factor":3:"in the expression. Evaluate the"/83:"expression and enter its value.":38321,00915:22:"WHAT IS THE VALUE":22:"OF THE EXPRESSION":22:"TO THEP%I:700:IM%9İ11600:4409.1H1%10:H2%259:V1%36:V2%64:220:H2%126:V1%108:220:H1%143:220:38321,128:6:J612:J:3:36):J /36:3:"The numeral below written in small":3:"numerals is an exponent which tells":3:"how many times to use 1%:253,(218):254,(219):26:80:(4)"RUNAM1.ERROR":BFJNRVZ^b f j n r  ? - ? )--- ;??? - ? -    =<I5152:I5N1%:4:N%I54:240:23:N%N%1:240:I5:y<':3,4276,4276,1883,1883,4:3,26276,26:45,445,26<'38321,128:I23:I:8:32):I:2:18:"DEFINITIONS":38321,0:49,7272,7:<0:1002:K1%(222):K1%253Ħ8=251,1:252,KAN%1:N3%N3%G(N3%)::;G(2)AN%2:N3%N3%R(N3%):V;AN%1:N3%N3%G(N3%):; N1%(37):6:"EQUAL TO";:25:"NOT EQUAL TO"::6:"GREATER THAN";:25:"LESS THAN":< 6:"LESS THAN OR";:25:"GREATER THAN":6:"EQUAL TO";:25:"OR EQUAL TO"R(2)) :>:AN%2:G(2)AN%1:N3%N3%R(N3%)(1R(2))D:g:G(2)AN%1:N3%N3%R(N3%)::AN%2:G(2)N3%N3%R(N3%)::G(2)AN%1:N3%N3%R(N3%)::AN%2:G(2)N3%N3%R(N3%)::G(2)AN%2:N3%N3%R(N3%):;50,5560:N3%0N3%(N3%):5408k9!2):N%N%4:240:" "N3%;:22:"<2> FALSE"::38321,128:22:"WHICH?";9"38321,0:MN%1:MX%2:4209%CH%;" ";:38321,128:B$"RIGHT":CH%AN%B$"WRONG"9'B$:300:I::AN%1:G(2)AN%2:N3%N3%R(N3%)(1sions to compare numerals:"s8H1%10:H2%259:V1%52:V2%64:220:V1%124:V2%48:H2%126:220:H1%143:220:8:5900817:3:"IS THIS STATEMENT";:22:"<1> TRUE":25:"OR":N%R(4):500:4:N%510,511,512,513:5209 N%R(6):N%5510,5520,5530,5540,55p73:"Numerals may also be greater than or"::3:"equal to, and less than or equal to"::3:"the other:":75:N3%" ";:N%9:240:N3%1;5)N3%" ";:N%10:240:N3%:300:8I19:P%I:700:5:3:"These symbols are used in numeric":3:"expres; B$NM$((1)63)".":"I CAN COUNT TO ";:210:TP%1:y 500:B$NM$(N1%):210:"BEGINS WITH '"(B$,1)"'.":TP%2: 500:B$NM$(N1%):"HALF OF ";:210:"IS '"(B$,(B$)2)"'.":TP%2: 500:N1%2(N1%2)(N1%)2489& B$NM$(N1%):"HALF TP%2:X N1%(1)9:B$NM$(N1%1)".":"THE DIGIT AFTER "NM$(N1%)" IS ";:210:TP%1: B$"8"".":"THE SKATER MADE A FIGURE ";:210:TP%2: B$"X"".":"THE SUM OF V AND V IS ";:210:TP%1: 500:B$"'"NM$(N1%)"'":210:"IS A WORD.":TP%2:MN%1:MX%2:420Ao B$"WRONG":CH%TP%B$"RIGHT":C%(1)C%(1)1pr CH%" ";:38321,128:B$:38321,0:300:I: 500:B$(N1%N2%):210:"IS THE RESULT OF "N1%" + "N2%".":TP%1: 500::B$NM$(N1%)".":"THERE ARE "NM$((B$)1)" LETTERS IN ";:210:N1%12480,2481,2482,2483,2484,2485,2486,2487,2488,2489j V1%124:V2%48:H1%10:H2%259:220:17:3:"DOES ";:210:"REFER TO:";:26:"<1> A NUMBER"::20:"OR";:26:"<2> A NUMERAL":14,159139,159m 38321,128:21:3:"WHICH ONE (1-2) ??";:38321,0:V2%32:220:38321,128:J79:J:3:36):Jc 7:3:"Determine whether the word enclosed":3:"in the box in the sentence below":3:"refers to a number or to a numeral.":38321,0:14,47265,47e 500:T1%(N1%)24058h V1%84:220:13:3:T1%(N1%)1:28:3:8:30):23(TP$)2:TP$:38321,0II12400,3400,4300,5400:I1a6000:38321,0:300t826:80:22000=(4);"RUNAM1.1"B26:80:22000G(4)"RUNALGEBRA MODULE 1"K,` I13:T1%(I)0:I:I13:P%I:700:H1%10:H2%259:V1%44:Y"G(I)((1)I)NM$(0)"ZERO":NM$(1)"ONE":NM$(2)"TWO":NM$(3)"THREE":NM$(4)"FOUR":NM$(5)"FIVE":NM$(6)"SIX":NM$(7)"SEVEN":NM$(8)"EIGHT":NM$(9)"NINE"206C%5:M%0:P%0:700)I114:C%(I1)0:TP$"POST TEST: "M1$(I1):38321,1PCPC1:PK%128714316368,0:PK%155ı=724H:722T63900^109026:80:20000:37894:TP%(13),OP$(4),M1$(5),M2$(4)R(I)((1)I)1M1$(1)"NUMERALS":M1$(2)"OPERATORS":M1$(3)"GROUPING SYMBOLS":M1$(4)"EQUALITO2%:521:N6%:m N4%" ";:N%O1%:521:" "N5%;:N%BR%:521:" ";:N%O2%:521:N6%" ";:N%BR%1:521:38321,0:2:2:"C"C%" P"P%:2:"M"M%:PK%(16384):PK%155ı16368,0:PC0:P9%40:D9%40PK%(16384):PC250(PC250)İ10N6%)0))501 % N3%N1%N2%:7 N3%N1%N2%:I N3%N1%N2%:p N3%N1%N2%:N1%N2%N3%İ500:513v  N1%" ";:521:N2%;: N%((36)2)73,(37)84: N%BR%:N4%;:521:" ";:N%O1%:521:N5%" ";:N%BR%1:521:" ";:N%K%128420) 16368,0:PK%155CH%0:N CH%PK%176:CH%MN%CH%MX%420T p N1%R(9):N2%R(N1%): N4%R(9):N5%R(N4%):N6%R(N5%):O1%R(3):O2%R(3):BR%R(3)29 O1%2((O2%2N4%N5%N6%0)(O2%3N4%N5%N6%0)(O2%1N4%(N5%1));" P1%8PS%PS%PS%1:392E P1%21PS%MX%PS%PS%1:392f P1%57(P1%48P1%45)392 HT%PS%:(P1%);:PS%PS%1:TP%(PS%)P1%:PS%MX%392 TP$"":I31PS%:TP$TP$(TP%(I3)):I3:HT%PS%:MX%1PS%):: PK%(16384):710:P8303! 116368,0:PK%160303, 4206:l I3113:TP%(I3)32:I3:38321,0:PS%0:VT%:HT%PS%:MX%) 38321,128:HT%PS%:(TP%(PS%1));:38321,0 P1%(16384):710:P1%128394 P1%P1%128:16368,0:P1%13410 HT%PS%:(TP%(PS%%H1%H2%,V1%V2%H1%,V1%V2%H1%,V1%:T 240:1):N%H1%,V1%:H2%15:V2%16:220 H1%(36)73:V11%(37)84:2):N%H1%,V1%: ,23:2:38321,128:"** PRESS TO TURN PAGE. . .":16368,0:7,175272,175 /PK%(16384):710:PK%12 2790324576#63900@(4)"BLOADEWS.ROUTINES"J 1000m 38331,P9%:38332,D9%:37900:s0:1002:P:1002:51,0::31744:H1%(36)72:H2%7(B$)4:V1%(37)82:V2%12:B$;" ";:220' H1%,V1%H1%H2%,V1             0:H2%42:I13617842:H1%I:220:I:C%02sI13:I27:FF%(I)0:4:M1$(I);:23:C%(I);:29:4C%(I):17,I1660136,I1660:C%C%(I)C%:C%(I)2FF%1:FF%(I)12tC%(I)3(FR%)FR%I2uI&3v38321,128:7:4:34):9:"CONCEPT"5)"RIGHT WRONG:19:13:2b1BHT%23:VT%19:390:B$"NO. ANSWER IS "(AN%):(TP$)AN%B$"RIGHT":C%(3)C%(3)1|1D21:22:B$:300:I:1p26:80:20000:I13:C%(I)0:I:IM%4:2400:3400:4400:FF%0)2rH1%17:H2%245:V1%44:V2%112:220:H2%119:V1%60:V2%64:22 LEFT?"a0:N7%R(5):A$(R(26)64):15:3:55,127:N8%R(4)1:A$;:N%5:230:N7%:19:3:" ";0=R(4)1N9%R(2)1:AN%N8%N7%N9%:N8%A$" ";:N%5:230:"?":37894:19:9:N9%:4418 1?AN%(N8%N7%)2:TP$(N8%)A$:260:" ";:N%5:230:"?":37894JNRVZ^b f j n r  ? - ? )--- ;??? - ? -         ""-NI16:PR%(I):I:(4)"CLOSE"("/ND"U(4)"OPENAM1.PROGRESS"a"U(4)"WRITEAM1.PROGRESS""UI16:PR%(I):I:(4)"CLOSE""U"0:1002:K1%(222):K1%253Ħ"251,11:252,K1%:253,(218):254,(219):26:80:(4)"RUNAM1.ERROR":BFhe"\!'3:"screen. Type your answer into the":3:"right-hand box.":38321,0:14,47265,47!'H2%126:V1%116:220:H1%143:220:16:3:"THE NUMERAL:";:22:"IS ANOTHER WAY OF":22:"WRITING":6:! N(4)"OPENAM1.PROGRESS"!*N(4)"READAM1.PROGRESS"":5:"review.":FR%27:34:"<--":PR%(1)6: 'P%I:700:H1%10:H2%259:V1%44:V2%48:220:38321,128:J711:J:3:36):J!'7:3:"Find a simpler looking numeral that":3:"has the same value as the one in the":3:"box on the left-hand side of ts! You have passed":5:"unit ONE and may now go on to":5:"unit TWO."hPR%(1)1:PR%(2)1PR%(2)6n17:4:FF%ĺ"Arrows show areas of weakness":PR%(1)2:I14:FF%(I)ĢI27:34:"<--"FF%ĂI:. "Arrow shows area requiring further:C%C%(I)C%:C%(I)1FF%(I)1:FF%1@tC%(I)2(FR%)FR%IGuIv38321,128:7:4:34):9:"CONCEPT"5)"RIGHT WRONG":21,47258,47:I816:I:33:5):IxI1719:I:4:34):I:21,127258,127zC%9FF%6020G}17:4:"CongratulationR(N3%):*G(2)AN%1:N3%N3%G(N3%)FAN%2:N3%N3%R(N3%):pH1%17:H2%245:V1%44:V2%112:220:H2%119:V1%60:V2%64:220:H2%42:I13617842:H1%I:220:I:C%0%sI14:I27:4:M1$(I);:23:C%(I);:29:3C%(I);:17,I1660136,I16602AN%2:R(G)AN%1:N3%N3%R(N3%)(1R(2))8[G(2)AN%1:N3%N3%R(N3%):|AN%2:G(2)N3%N3%R(N3%)G(2)AN%1:N3%N3%R(N3%):AN%2:G(2)N3%N3%R(N3%)G(2)AN%1:N3%N3%G(N3%) AN%2:N3%N3%:5408R!2):N%N%4:240:" "N3%;:22:"<2> FALSE"::38321,128:22:"WHICH?";p"38321,0:MN%1:MX%2:420%CH%;" ";:38321,128:B$"WRONG":CH%AN%B$"RIGHT":C%(4)C%(4)1'B$:300:I:AN%1:G(2)AN%2:N3%N3%R(N3%)(1R(2))7265,47WH1%10:H2%259:V1%44:V2%32:220:V1%124:V2%48:H2%126:220:H1%143:22017:3:"IS THIS STATEMENT";:22:"<1> TRUE":25:"OR":N%R(4):500:N8%N% 4:N%510,511,512,513:520:N%R(6):N%5510,5520,5530,5540,5550,5560:N3%0N%N8%TP$)N3%B$"RIGHT":C%(3)C%(3)1F20:23:38321,128:B$:300:I:I13:P%I:700:38321,128:J79:J:3:36):J:7:3:"Determine whether the comparison":3:"between the two numerals in the left"3:"box is true or false.":38321,0:14,46:VT%18:HT%23:MX%5:501:R(2)4308,4310523:N1%N5%:N2%N6%:O2%510,511,512,513:N1%N4%:N2%N3%:O1%510,511,512,513:4313522:N1%N4%:N2%N5%:O1%510,511,512,513:N1%N3%:N2%N6%:O2%510,511,512,513390!B$"ANSWER IS "(N3%):(OF ";:210:"IS "NM$(N1%2)".":TP%1:8H I13:10000|R N%R(4):500:N%510,511,512,513:520:VT%18:HT%23:MX%5:390U B$"NO. ANSWER IS "(N3%):N3%(TP$)B$"RIGHT":C%(2)C%(2)1W 20:23:38321,128:B$:300:I:I13:10000,18:e line.":Z93:"Such a line is called a ";:B$"number line.":210:2190:300:P%2:700<6:3:"The number which is associated with"::3:"a point on the number line is called":>3:"The ";:B$"coordinate":210:"of that point."::3:"The poiNAM1.2.1"B26:804G(4)"RUNALGEBRA MODULE 1":KVM%2100,2200,2300,240046:3:"If we think of a straight line as a"::3:"collection or set of points, we can": 73:"associate all the numbers of"::3:"arithmetic with points on th ":6:13:"MODE SELECTION":I14:I26:5:"<"I"> "M2$(I):I::5:"<0> Return To CONTENTS"MN%0:MX%4:420:CH%0İ206:1010 M%CH%:P%1:700:206:P1%M%234:P2%(P1%):P2%255ĹP1%,P2%1 C%2000,3000,4000:1010826:80 =(4);"RUI:22:15:"WHICH ONE (0-4) ?? ";:38321,0:" "eMN%0:MX%4:420:C%CH%:22:34:C%:(CH%)1090uCH%41080M%0:700:206:3:38321,128:8:32):24(M1$(C%))2:M1$(C%):I2123:I:5:25):I:22:6:"WHICH ONE (0-4) ?? ";^38321,0:"38,Y%738,Y%635,Y%3:38,Y%641,Y%3]I34:5:"<"I">":I26:14:"<"I"> "M1$(I):I14,14821,14056,14063,14856,15621,15614,148:19:5:"<0>"016:14:"<0> Return To ALGEBRA Menu":6:21:"CONTENTS":38321,128:I2123:I:14:22):EXAMPLE":M2$(4)"SAMPLE PROBLEM"T1$(1)"POSITIVE":T1$(2)"NEGATIVE":T1$(3)"PRODUCT":T1$(4)"QUOTIENT":T1$(5)"RIGHT":T1$(6)"LEFT":T1$(7)"RIGHT"C%0:M%0:P%0:700:73,3273,183(I14:H1%21:V1%I2420:H2%35:V2%16:220:Y%V1%16:38,Y%1)"ADDITION":OP$(2)"SUBTRACTION":OP$(3)"MULTIPLICATION":OP$(4)"DIVISION"cR(I)((1)I)1M1$(1)"THE NUMBER LINE":M1$(2)"REAL NUMBERS":M1$(3)"USING NEGATIVE NUMBERS"::M1$(4)"NUMBER LINE TEST" M2$(1)"DEFINITION":M2$(2)"RULE":M2$(3)"C%)ı&16368,0:PC0:P9%40:D9%40NPK%(16384):PC250(PC250)İ10gPCPC1:PK%12871416368,0:PK%155PK%205ı724:72263900PK%1551090102637894:10000:TP%(13),OP$(4),M1$(5),M2$(4)LOP$( ";:N%BR%1:521:" ";:N%O2%:521:N6%: N4%" ";:N%O1%:521:" "N5%;:N%BR%:521:" ";:N%O2%:521:N6%" ";:N%BR%1:521:&N1%R(9)1R(3):N2%R(9)1R(3):38321,0:2:2:"C"C%" P"P%:2:"M"M%:PK%(16384):PK%155(N6%0)(O2%1N4%(N5%N6%)0))501* < N3%N1%N2%:N N3%N1%N2%:` N3%N1%N2%: 500:N3%N1%N2%:N1%N2%N3%İ500:513  N1%" ";:521:N2%;: N%((36)2)73,(37)84:, N%BR%:N4%;:521:" ";:N%O1%:521:N5%"PK%(16384):710:PK%128420@ 16368,0:PK%155CH%0:e CH%PK%176:CH%MN%CH%MX%420k  N1%R(9):N2%R(N1%): N4%R(9):N5%R(N4%):N6%R(N5%):O1%R(3):O2%R(3):BR%R(3)29$ O1%2((O2%2N4%N5%N6%0)(O2%3N4%N5% HT%PS%:(TP%(PS%1));9 P1%8PS%PS%PS%1:392\ P1%21PS%MX%PS%PS%1:392} P1%57(P1%48P1%45)392 HT%PS%:(P1%);:PS%PS%1:TP%(PS%)P1%:PS%MX%392 TP$"":I31PS%:TP$TP$(TP%(I3)):I3:HT%PS%:MX%1PS%)::! 303 116368,0:PK%160303* 4206:C _I31150:710:I3: I3113:TP%(I3)32:I3:38321,0:PS%0:VT%:HT%PS%:MX%) 38321,128:HT%PS%:(TP%(PS%1));:38321,0 P1%(16384):710:P1%128394 P1%P1%128:16368,0:P1%13410H2%,V1%H1%H2%,V1%V2%H1%,V1%V2%H1%,V1%:S N%I:N1%" ";:240:N2%" ";:N%5 H1%(36)73:V1%(37)84:2):N%H1%,V1%: ,23:2:38321,128:"** PRESS TO TURN PAGE. . .":16368,0:7,175272,175 /PK%(16384):710:PK%128đ5 2790324576#63900@(4)"BLOADEWS.ROUTINES"G3Q 1000t 38331,P9%:38332,D9%:37900:z0:1002:P:1002:51,0::31744:H1%(36)72:H2%7(B$)4:V1%(37)83:V2%12:B$;" ";:220. H1%,V1%H1%!! ! ! ! ! !!!!!!!!!""" " " " " """""""""          :3:"<2> There is exactly one real":7:"number paired with any given":7:"point on the line.":300:P%3:700:3190' V2%40:220:7:3:"The absolute value of a positive":3:"number is the number itself. The":3:"absolute value of a negative numbe"NOTICE THAT A NEGATIVE NUMBER IS":3:"NAMED BY A NUMERAL WITH A NEGATIVE":3:"(MINUS) SIGN TO THE LEFT.":300:P%2:700% V1%44:V2%64:220:3190:7:3:"<1> There is exactly one point on":7:"the number line paired with any":7:"real number."w&3:"The coordinate of each point on a":3:"number line is called a real number":3:"Those numbers which are coordinates"$ 3:"to the right of zero are called":3:"positive numbers and those to the":3:"left are called negative numbers."{% 14:3:36,127136,144:16:14:411)4:3190:300:J#l 18:24(I21)16:T1$(I2)#v 20:3:"<"34)">":17,155263,155:I55:N%I21136:N%,153N%,158:I320(I0):I;:I:# I212:3180:I2:H1%10:H2%255:V1%36:V2%56:220:V1%100:V2%32:220z$ 6:3:"The ";:B$"absolute value":210:"of a number is"::3:"the distance between the origin and":"0 3:"the graph of the number. It is the"::3:"greater of a "T1$(1)" number and its":+#1 3:T1$(2)" opposite.":H1%52:H2%168:V1%136:V2%18:220:13:"the "T1$(I2)" side of the line are"::3:"called ";:B$T1$(I2)" NUMBERS.":210::!+ I22Ė3:"Any number which is known as a"::3:T1$(1)" number, "T1$(2)" number, or"::3:"0 is called a ";:B$"REAL number.":210c". 300:I2:P%P%1:700:6:e ";:B$T1$(I2)" SIDE":210:"of the line, and"::3:"the direction from the origin to the": & 3:"point labeled ";1(I21)" is called the"::3:B$T1$(I2)" DIRECTION.":210:300:P%P%1:700:3180X!) 6:3:"The numbers paired with points on"::3:"as well as the right. In such a"::3:"case, the graph is called"::3:B$"the real number line.":210:3190:300! I212:P%P%1:700:3180:6:3:"The side containing the point"::3:"paired with the number ";1(I21)" is called":_ $ 3:"thN1%I2239N2%24:N1%,64N1%,70:I2:N%R(N2%1):N1%N%239N2%24:N1%,48N1%,61N1%3,57:N1%,61N1%3,57e 12000:300:I: M%3100,3200,3300,3400 6:3:"On a number line we can begin at 0"::3:"and mark off intervals to the left":v umber "N%:N4%66:N5%N%3531:2390:15:N%55:N%:351 N%1R(N%2):20:3:"Find the COORDINATE of "N%:N6%132:N4%70:N5%N%3531:2390:N5%,132N5%,108:300:V IN4%N5%:I,N6%:J125:J,I:` I19:10lc N2%R(15)5:4:0:I20N2%1:31:N%,154N%,157:J,I:300:6:3:"This is a NUMBER LINE:":13:38:">":31,100263,100:I06:N%I3531:N%,96N%,108:I:17:3:"ORIGIN"10:6:"UNIT":5:"LENGTH":15:5:04):N4%31:N5%66:N6%92:2390:18 N%3R(3):8:3:"GRAPH the n an endless number of points"3:"between them. These points may be":3:"graphed by dividing the interval":3:"between the points which are"3:"associated with whole numbers into":3:"more and more equal parts.":I29:J011I:N%(IJ)21"At the right end of the number line"3:"place an arrow. This indicates that":3:"the number line extends without end.":300:P%2:700:2190V2%72:220:6:3:"No matter how close two points may":3:"be on a number line, there are":3:"alwaysa line":3:"and label it 0. At some convenient"3:"distance on the right side of the":3:"origin, select a second point and":3:"label it 1. This distance, the unit"%3:"distance, separates every whole":3:"number on the number line."::3:th":210:"of"::3:"the line.":2190:300:20:38:">":17,155262,155:I010:N%I2131:N%,153N%,158:I35:I;:I:H1%10:H2%259:V1%36:V2%104:220:2190:603:"To construct a number line choose a":3:"starting point or origin on nt on the number line which":A3:"is associated with a number"::3:"called the ";:B$"graph":210:"of that number.":2190:300:P%3:700C6:3:"The distance between 0, the ";:B$"origin,":210:::3:"and 1 is called the ";-FB$"unit leng