NeoDsknpp )O`  @`! #@%`')-/1 3@5`79;=?A C@E`GIKMOQ S@U`WY[]_a c@e`gikmoq s@u`wy{} @` @ ` @ ` @ `  @ ` ǀ ɠ @ ` ׀ ٠  @` @`!Aa   !Aa!!#A%a')+-/1!3A5a79;=?ACAEaGIO`  @`! #@%`')-/1 3@5`79;=?A C@E`GIKMOQ S@U`WY[]_a c@e`gikmoq s@u`wy{} @` @ ` @ ` @ `  @ ` ǀ ɠ @ ` ׀ ٠  @` @`!Aa   !Aa!!#A%a')+-/1!3A5a79;=?ACAEaGILINEAR  fVERBAL " fST379 P6 v.  f..  fALG12A PRG ŁALG12B PRG +3README ́EADME SAV mJ`R|` Efv*oM m HPHUBg?<JNA(m)m -:gS)@ -OK1PC#HNVHx?<HNA@)@l/?<HNA)@h&@)@XЬl)@d)@`ARCpr Ѝ"QHNFALNzHz2?< NA\pdAxr0XQ)K\NN>>>JrBjNuHz?<&NN\NCAp$L Qp N9lrBlJpNNpMN9@pdAr 0Q0tr N09lNupealp`NuaNJHz?<&NNBWNANC2A@p222NrҌ0<NB0,rNurA9Ar`v C9Cr`rt9@9A9BNrrҌpsNB0,Nu9@N`rDҌpsNBNuC2 @ e @}bA@p222Nr,Ҍ0<NBNu pa2|a>:><|a4g RGj`a(0GVfA1G<ap??<?<NM\Nu??< NMXNu&8*:EENuHn 2$4BBNuAd RdQRB BbABJk 0NuJBjBBXNu 0Nu 2$NuE`B<gJEgEjCDEDF Fe( F dF8BCHC` F0bFHC8v` HD8HDkDуdQRBNuDdBDA@kgAр[SBk0NuJlJBk&Nu0g H@rB JkЀ[` BbNuJBj prtNuHPAJgPpr$< _Nup _NtNu&8*JEgJBgJjBEB:HC҅H@:|ۆ҄ۆ<HC>H@ЃdHA@B@H@хk HAҁHAрSB BbNuNfpNNuCDEJEgJBgJjBEBQ*HE?<>0rHGGdHGGdSWDуdi\?<>0rHGGdHGGdSWDуdiN?<>0rHGGdHGGdSW2 H@N2?<,>CEdGH@0r`?<`JBgVB&8TTDуdQRBNuDAр&AdRAрAрDуNuprt|=|z  g +g -f .g20  b 0e 9b da`RF` .f 0e 9b dajSF` Eg efX +g -f 0e 9oSH`00  b&Hz0  b E Do`HJjDDDS4</NDJFkSFk&aQND`Ha"FFaQL8N6.zJgtBnzNupr$<NuJBk4<rpAC v JBgJjv-| Bb BkH>aaNRFBdL8?N<JBga2SF Be BgQRB`ApdR e <rRF&0xafEv+0JFjDFv-Hƌd0BFHF 0HF0ANuprt|`2:HQ A dNAXJ@jNNuvN")@p `H@)@prtN0AHplrtN0B 2pN pNpapaprapalpalpalpaTpaTpaTBp'a?<NNT@B){L9|0<rtN0papap9@p`pvN"v`v`vj`v `v`v`v`?2(g"P@g2RADAH""l`r2oZAe 1@#)I`Nuk1@Nup NN"l`dpNAtrdJhk\QpaNH ld$l`"Hg: k&@0+R`g k#&@0+S@H3 Q&f)I`LNu?<?<NAXJgJgNAH@B pN*A NuApN*N$N$BS@kH2QNupC ұd"X0Pg"RA$D#Nu"X0NuN@J@gpNu _0HpN* _0HpN*p"_0HqNp"_0HqNE ұeHHQ0)N $_$ZR@H`2QNu$Y0gHR@@"D%$X0P2g# R@%NupE $ $X0dP.gRG,D%pr Y2dP.gRG,D!p4Ae4v`VfANuNWHNuNVHNu Ihd"*N$E8*$R`"QˈN@ ENu(* 0(iN$E 4R`Q$D 4R`QˈN@ DN@ ENu2p <0N`QNuN@J@fC )I( BA)Hp9@J9@L9@NpyN DJlrgNp NBNq Y Qf*d ЀЀ 2$4BBNutHRp` HRpJQfpNNq Y Qfd ЀЀNuNnNt$_& Y Qf d փփABJk 0NNrNl$_& if"QdփփHRNNlNr~,Nq8DRzXEEg"7PNqR$HBJBgpNJgJigp`eetЂ`"ЀeЁdp`ЀeЀe"Ѕe$W.H@@N*L"2` NqR YEjrd0` SjN$_NЀЀN YQf "_Nq*eNrNl*< NqbІSGfN $_Nփփ"@HHRN YQf "_&Nq*eNrNl*<&NqbֆSGfN" KC`e N`d \N` l\Ӭ\ NupNd d3 d# d# # d# # # # d# # # # # # # # dB` # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # QNu0,p2,rR@RANuS@SA9@p9ArNu9@pN04, 6fprta0,2,NuA4, 6f9@9Ap rt`, HHHNup`pNu)H9@Jp4NP'J&f H LNu P&NuQ'` J,'fJ,&gHA#ȇeC! B,&LNu-W)K20, 8k8@ gJl&f"Nu , 8g"P 8 @/, 8Nz  8fQ 8J,'gNupB <``L@ H)l26)z @W , Jf`CfSHj-D@Hd0H@H 0H@0`fSC\fS , @a"C\fApNNNHP?< NA\NuH@aa/a a Nu@0 9c^Nu| PC>$Error # ][Abort]\f.B &lX)K\)ld` lp ,BQjNup(NV _b@gGHpp 0f NuGNpz @"l`Yd&-KNN"l`YepN&#k"C-KN"Cփk փk2##`փk"`2`$Y8gHRDD*D%H8#$c2g# HRDD%H`/&#k gH`Nq-KNuHxpC~N <C NpCNpC&NpC,N)|6 NxN select to have an example printed with the scores, a randomly C NHx?NxN generated example of each problem will be printed along with C NHx@NxN the score ( RIGHT/WRONG/PERCENT ) in each category. C NHxANxN C NHxBNxN C NHxCNxN C NHxDNxN C. DISK SCORES - INPUT C NHxENxN In selecting this a DIRECTORY will appear of any files with the C NHxFNxN extension of AG1, which stands for Algebra Equations 1. If C NHxGNxN there are NO FILES, the error # 53 will come up. That's okay. As C NHxHNxN in all errors, the program will tell you the number - you can C NHxINxN look them up in a DOS manual, but you will always go back to the C NHxJNxN MENU. To LOAD a FILE type the name and extension and press ENTER. C NHxKNxN C NHxLNxN D. DISK SCORES - OUTPUT C NHxMNxN A DIRECTORY of all files on the disk will come up, but you can C NHxNNxN only type in any name but only AVP as the extension. You should C NHxONxN use ALL CAPITALS for the extension. C NHxPNxN C NHxQNxN C NHxRNxN II. PARAMETERS SECTION C NHxSNxN C NHxTNxN A. CHANGE THE NUMBER SEED C NHxUNxN You can change the base number to anything you want. It is set C NHxVNxN at 10, which means that all numbers that are generated randomly C NHxWNxN will be between 1 and 10. If you were to use 1000 then numbers C NHxXNxN will come up from 1 to 1000. C NHxYNxN C NHxZNxN B. CHANGE + OR - ( INTEGERS ) C NHx[NxN The default is for only POSITIVE numbers - but you can opt for C NHx\NxN both POSITIVE and NEGATIVE numbers. While this provides more C NHx]NxN challenging work, there might be some confusion in the screen C NHx^NxN presentation with double negatives, etc. C NHx_NxN C NHx`NxN C. CHANGE THE POWER OF TEN C NHxaNxN If you desire, you may decide to use numbers other than whole C NHxbNxN numbers, and based on the digits you placed in the number seed C NHxcNxN you can create fairly complex numbers. Again more challenging C NHxdNxN but the default of whole numbers only is safer. C NHxeNxN C NHxfNxN D. CHANGE NAME C NHxgNxN In selecting this you will be prompted to either type in a new C NHxhNxN or different name. If you want to keep what it currently is then C NHxiNxN just press ENTER and it will stay the same. C NHxjNxN C NHxkNxN III. KEYS CONCEPTS OF LINEAR EQUATIONS C NHxlNxN C NHxmNxN There are 6 areas of work that are listed in LINEAR EQUATIONS. C NHxnNxN If you select any of these areas, a broad hint of help will come C NHxoNxN up, and notes could be made of each of these KEY CONCEPTS. These C NHxpNxN are guidelines for successful solutions to each of the different C NHxqNxN areas of linear equations through combining like terms. C NHxrNxN C NHxsNxN IV. STUDY EXAMPLES OF LINEAR EQUATIONS C NHxtNxN C NHxuNxN You would select the area of work that you would want to study. C NHxvNxN Then a sample of each type of problems in that area is presented. C NHxwNxN If you decide not to study any of these press 0 and you would go C NHxxNxN back to the MENU and could re-select what you want to do. C NHxyNxN C NHxzNxN If you press any of the other numbers, a new example of that C NHx{NxN type problem would come up, along with the THREE LEVELS of help C NHx|NxN that would explain how to SET UP and SOLVE that particular type C NHx}NxN problem. Unless you are familiar with each type problem, it is C NHx~NxN suggested that you STUDY it first here, making notes about how to C NHxNxN solve it, then go to the next part of the MENU and try amnd solve it C NHxNxN by yourself. There are a lot of hints of help available. C NHxNxN C NHxNxN C NHxNxN C NHxNxN C NHxNxN C NHxNxN C NHxNxN V. WORK EXAMPLES OF LINEAR EQUATIONS C NHxNxN C NHxNxN After you select which area you want to work, you will then select C NHxNxN the type of problem you want to try. The problem is presented with C NHxNxN a HINT OF HELP, and you would be prompted to type in your number C NHxNxN answer. If your answer is incorrect a second hint of help is then C NHxNxN presented and you try again. If incorrect you would be given a third C NHxNxN and final try. If still unsuccessful you would be asked if you would C NHxNxN want a printout of this exact problem with the answer so you could C NHxNxN study it and see what you did incorrectly. In this SHAREWARE version C NHxNxN this feature does not work. In the registered version it does. C NHxNxN C NHxNxN C NHxNxN C NHxNxN C NHxNxN HINTS: C NHxNxN When figuring your answers to problems and then entering them C NHxNxN into the computer, do not use $ (dollar sign), % (percent symbol) C NHxNxN or commas in numbers. These will make your answers incorrect. C NHxNxN C NHxNxN Because this series of programs are text based and will run on C NHxNxN ANY PC configuration, there may be some screens of help that are C NHxNxN supposed to be in charts, but the columns are incorrectly lined C NHxNxN up because some of the numbers have 2 or 3 digits. If you use C NHxNxN careful discretion these should not be a problem. C NHxNxN C NHxNxN C NHxNxN SUMMARY SCREEN C NHxNxN C NHxNxN The SUMMARY SCREEN contains a lot of information that will be C NHxNxN updated as you work the program. It will tell you how many tries C NHxNxN you have had, the number of problems and much much more. It will C NHxNxN tell you about the size of numbers you are using, the power of ten C NHxNxN you are using, etc. It will also let you know what kind of problem C NHxNxN you last did. It is to help you keep track of your work. C NHxNxN C NHxNxN C NHxNxN C NHxNxN DISCLAIMER: C NHxNxN C NHxNxN While we stand behind our products, there is no guarantee in the C NHxNxN outcome for the user. If the disk is defective we will replace it C NHxNxN and except for replacement there is no other stated or imnplied C NHxNxN warranty. C NHxNxN C NHxNxN C NHxNxN C NHxNxN C NHxNxN There are also two other versions available for each of the programs C NHxNxN we market at EDUCATIONAL MANAGEMENT SYSTEMS. C NHxNxN C NHxNxN SCHOOL USE VERSIONS - A teacher may make as many copies as they have C NHxNxN computers (only one teacher). They may set the parameters and have up C NHxNxN to TEN students work at one computer at a time ( it is recommended that C NHxNxN the number be kept to 4 or less ). They may elect for the work to C NHxNxN AUTOMATICALLY advance, decide what type report they want at the end - C NHxNxN individual, group - sent to the disk, the printer or both. C NHxNxN C NHxNxN NETWORK USE VERSIONS - These contain a class management program and C NHxNxN allow the user to set the starting requirements for each student and C NHxNxN manage the student progress - these are SITE LICENSES and may be C NHxNxN incorporated into existing LANs. Information available on request. C NHxNxN C NHxNxN C NHxNxN C NHxNxN C NHxNxN------------------------------------------------------------------------------C NHxNxN EDUCATIONAL MANAGEMENT SYSTEMS C NHxNxN P. O. Box 153 C NHxNxN Huntingtown, Maryland 20639 C NHxNxN------------------------------------------------------------------------------C NHxNxN Please X the ones you want of the HOME USE VERSIONS of these programs C NHxNxN------------------------------------------------------------------------------C NHxNxN TITLE | PRICE | QUANTITY | TOTAL C NHxNxN------------------------------------------------------------------------------C NHxNxN BASIC MATH SKILLS $17.00 each | | C NHxNxN Operations___ Ratio/Prop___ | | C NHxNxN Percents ___ Fractions ___ | | C NHxNxN------------------------------------------------------------------------------C NHxNxN ALGEBRA I SERIES $17.00 each | | C NHxNxN Expres. ___ Linear ___ | | C NHxNxN Systems ___ Verbal ___ | | C NHxNxN------------------------------------------------------------------------------C NHxNxN Sub-Total C NHxNxN --------------------C NHxNxN------------------------------------------------------------------------------C NHxNxN Please X the ones you want of the SCHOOL VERSIONS of these programs C NHxNxN------------------------------------------------------------------------------C NHxNxN TITLE | PRICE | QUANTITY | TOTAL C NHxNxN------------------------------------------------------------------------------C NHxNxN BASIC MATH SKILLS $27.00 each | | C NHxNxN Operations___ Ratio/Prop___ | | C NHxNxN Percents ___ Fractions ___ | | C NHxNxN------------------------------------------------------------------------------C NHxNxN ALGEBRA I SERIES $27.00 each | | C NHxNxN Expres. ___ Linear ___ | | C NHxNxN Systems ___ Verbal ___ | | C NHxNxN------------------------------------------------------------------------------C NHxNxN Sub-Total C NHxNxN --------------------C NHxNxN------------------------------------------------------------------------------C NHxNxN Please X the ones you want of the NETWORKED VERSIONS of these programs C NHxNxN------------------------------------------------------------------------------C NHxNxN TITLE | PRICE | QUANTITY | TOTAL C NHxNxN------------------------------------------------------------------------------C NHxNxN BASIC MATH SKILLS $97.00 each | | C NHxNxN Operations___ Ratio/Prop___ | | C NHxNxN Percents ___ Fractions ___ | | C NHxNxN------------------------------------------------------------------------------C NHxNxN ALGEBRA I SERIES $97.00 each | | C NHxNxN Expres. ___ Linear ___ | | C NHxNxN Systems ___ Verbal ___ | | C NHxNxN------------------------------------------------------------------------------C NHxNxN Sub-Total C NHxNxN --------------------C NHxNxN SHIPPING INFORMATION TOTAL C NHxNxNNAME_____________________________________ of Sub-Totals --------------------C NHxNxNADDRESS__________________________________ (MD. residents C NHxNxNTOWN_________________ STATE___ ZIP_______ 5% sales tax) --------------------C NHxNxNTELEPHONE # ____ - ____ - _______________ C NHxNxNVISA/MC #________________________________ C NHxNxNEXP. DATE _______________________________ TOTAL ENCLOSED --------------------C NHxNxNSIGNATURE _______________________________ C NHxNxN C NHxNxN (payment may be by check) C NHxNxN C NHxNxN Thank you for your order - We hope you enjoy our programs. C NHxNxN C NHxNxN------------------------------------------------------------------------------C NHxNxN C NA ]0AN\rPNC퀢NA @0A @0p|NC퀨Np|NC퀮N <NC퀴Np|NC퀺Np|NCNp|NCNp rJNCNp|rONCNp|rONCN <rONCNB <r$<CNBNx MAIN MENUC&NBHxNx READ DOCUMENTATION C~NBHxN PRINT DOCUMENTATION 4C~NBHxNx HPA퀖"_NHPN "_NC~NBHxNx PRINT ORDER FORM C~NBHxNx END THIS SESSION C~NHxNM PRESS ENTER TO CONTINUE C,Np|NCNNA 0Bm"A$ 0A* 0C*A0 0C*A6 0A< 0ANzC*A0 0ANzNprN$ND FROM EDUCATIONAL MANAGEMENT SYSTEMS THE PROGRAMS ARE AVAILABLE ASNNNG SCHOOL USE VERSIONS - A teacher may make as many copies as they haveVNNNN computers. They may set the parameters and have from 1 to 10 students work NNNO at a time. They may elect for the work to AUTOMATICALLY advance, decide what!NNNP type report is wanted at the end and where it will be sent (disk or printer).NNNN NETWORK USE VERSIONS - These contain a class management program and NNNN allow the user to set the starting requirements for each student and NNNN manage the student progress - these are SITE LICENSES and may be NNNN incorporated into existing LANs. Information available on request. NNCNHmA "_N\fNXN0Hmp"_NpNjABNABN`&<x*<NfNN*ABN`&<x*<NpJBgp/ABN`&<x*<NpJBgp$VHfNANzABN`&<x*<NfN$ANzN0CAH 0AN\~NXHNNANzNprN$N9 ARE YOU SURE YOU WISH TO QUIT - 1 FOR YES ENTER FOR NO4NA\NzNANzNAnNzHmp1N"_NffNDAN 0 <r$<ANNNANN\C NNNNh`NqNqNAnNzHmp1N"_NffNAN G0 <r$<ANNNANN\C NNNNh`NqNqNNxREED.LYNCNpONHPAr"_NpNpANNpNNx ALG12B.PRGNNAbNzHmp1N"_N\fN PG DN ESC endNAl 0Ar 0Ax @0ClAN 0ArN`ANNNAxN\rN$ANN\C NNNAxN`&<x*<NAxNtNh`NqNqNCNHmA "_N\fN4N Hmp"_NpNjAZNAZN`&<x*<NfNtNAZN`&<x*<NfNAl 0AlN`&<x*<NArNtAZN`&<x*<NfN, <r$<ANHNAlNtAlN`&<x*<NArNtAZN`&<x*<NfN <r$<AlNHNAlNtAlN`&<x*<NnfNAl 0AlN`&<x*<NArNtAZN`&<x*<NfNAlN`&<x*<NAlNtAlN`&<x*<NArNtAN`ArNHNfN <r$<ANHNAlNtAlN`&<x*<NArNtAZN`&<x*<NfN <r$<AlNHNAlNtAlN`&<x*<NnfNAl 0AlN`&<x*<NArNtAZN`&<x*<NfNAlN`&<x*<NAlNtAlN`&<x*<NArNtAN`ArNHNfN <r$<ANHNAlNtAlN`&<x*<NArNtNNNA N\/AN\"N$A퀨N <r NNA퀮NNNA N\/AN`&<x*<NN"N$ANp NA퀜Np NANNNA N\/AN`&<x*<NN"N$ANN HOME USE VERSION 1.1 ANNNA N\/AN`&<x*<NN"N$p|NN <r NNp|NNNNA N\/AN`&<x*<NN"N$ANN This product is SHAREWARE. If ANNNA N\/AN`&<x*<NN"N$ANN you find it useful, please sendANNNA N\/AN`&<x*<NN"N$ANN $17.00 for registration to ANNNA N\/AN`&<x*<NN"N$ANN EDUCATIONAL MANAGEMENT SYSTEMS ANNNA N\/AN`&<x*<NN"N$ANN P.O. Box 153 Huntingtown Md. ANNNA N\/AN`&<x*<NN"N$ANN (301) 535-0062 20639 ANNNA N\/AN`&<x*<NN"N$ANN (c) 1990 by Charles O. Gauthier ANNNA N\/AN`&<x*<NN"N$p N <r NNNNAvNzNA$N\/A0N\"N$NN-->AN\/AN\C~NNN<--NNNprN$ANNNprN$ANNNprN$AN 0 <r$<ANNNANNNh`NqNqNC*A6 0NA$N\/ <r$<A6NHNN"N$AN\C&NNN { USE arrows to move } NAN 0AN\CN@ANNNA$N\/A6N\"N$N AN\/ANN\C~NNN oNA`N`A6NHNA6NtNh`NqNqNA$N\/A6N\"N$N# ESC TO EXIT - RETURN TO SELECToNNNprN$NA~ 0AN\CN@H <r$<L8NAfNtA` 0AN\CN@A`NHN&<x*<NATNtHmA:><|a4g RGj`a(0GVfA1G<ap??<?<NM\Nu??< NMXNu&8*:EENuHnr 2$4BBNuAd RdQRB BbABJk 0NuJBjBBXNu 0Nu 2$NuE`B<gJEgEjCDEDF Fe( F dF8BCHC` F0bFHC8v` HD8HDkDуdQRBNuDdBDA@kgAр[SBk0NuJlJBk&Nu0g H@rB JkЀ[` BbNuJBj prtNuHPAJgPpr$< _Nup _NtNu&8*JEgJBgJjBEB:HC҅H@:|ۆ҄ۆ<HC>H@ЃdHA@B@H@хk HAҁHAрSB BbNuNpNNuCDEJEgJBgJjBEBQ*HE?<>0rHGGdHGGdSWDуdi\?<>0rHGGdHGGdSWDуdiN?<>0rHGGdHGGdSW2 H@N?<,>CEdGH@0r`?<`JBgVB&8TTDуdQRBNuDAр&AdRAрAрDуNuprt|=|   g +g -f .g20  b 0e 9b da`RF` .f 0e 9b dajSF` Eg efX +g -f 0e 9oSH`00  b&Hz0  b E Do`HJjDDDS4</NJFkSFk&aQN`Ha"FFaQL8Nު6. 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B,&LNu-W)K20, 8k8@ gJl&f"Nu , 8g"P 8 @/, 8N  8fQ 8J,'gNupB <``L@ H)l26)z @W , Jf`CfSHj-D@Hd0H@H 0H@0`fSC\fS , @a"C\fApNNN^HP?< NA\NuH@aa/a a Nu@0 9c^Nu| PC>$Error # ][Abort]\f.B &lX)K\)ld` lp ,BQjNup(NV)l g,vARC( g9CJ9|Lp!,Nt FPeNuHA JpBQA/)H )l gBlJpNtB Aprt0 0BBB R@ @efA000 0PB0 *00 000\0X0 *0000 0P0BX0, *@00p1| 1|QBX0 $HTH0P &0 *0,NupNSk [0NupNuHPaH8 _&X Pf/|~ K!zag @ ep 24C"2 S@ػ Td BTA3A0C4$I2a222B"0@2A\xvaRg<2#M 4B3BS@ -f ػ Td>BAAb8RGRC`3RSG5GC5C J1DcaRF F e`RG GcdNuXASF1F41R 1h4 x1EDgVA)H)H 9|J?<NNTU@g,ACg dRhdRh(gpL8Ntp>L8NAJ0?C bL000zH?A/.)HpNtLrHH/>Bl/,ff.f.ffNu l /.g&, ^`D&, N`>&, R`8&, V`2&, Z`,2,/4WAARA0,/6A hfRAS@f9A/,&, Jo ? CN0`@k Ap0(/.NuA Nup)@JphNtLtH &JKBCH .A/~0 1PP1P1PA L? &<@>AFG0000X0000X0000X0000C ~AJ0g0  pi, Nt"F QNu _b@gGHpp 0f NuGNp @"l`Yd&-KNN"l`YepN&#k"C-KN"Cփk փk2##`փk"`2`$Y8gHRDD*D%H8#$c2g# HRDD%H`/&#k gH`Nq-KNuNpC턼NVpCNVNREED.LYNCNN)|_F NHxHxNF SIMPLE EQUATIONS 1 involves finding the value of X in equations usingC~NjHxHxNJ the multiplication (if you use a reciprocal) or division axiom to createC~NjHxHxNH equivalent forms of the equation with the goal of writing the simplestC~NjHxHxN= form of the equation : X = (ANSWER).eC~NjHxHxNH EXAMPLE: three times a number is twelve in ENGLISH becomes in ALGEBRAC~NjHxHxN3 3X = 12 and using the divisioneC~NjHxHxN3 --- ---- axiom divide each side4C~NjHxHxNC 3 3 to create the equation (ANSWER) X = 4 C~NjHxHxNESIMPLE EQUATIONS 2 involves finding the value of X in equations using4C~NjHxHxNI the multiplication axiom to create equivalent forms of the equation with4C~NjHxHxNF the goal of writing the simplest form of the equation : X = (ANSWER).C~NjNH --<< MULTIPLY BOTH SIDES OF THE EQUAL SIGN BY THREE >>--CNHxHxNK EXAMPLE: three divided by a number is twelve in ENGLISH becomes in ALGEBRA4HPA^"_NHPA"_NC~NjHxHxN; 3 X use the commutative property 3 X C~NjHxHxNA ---*--- = 12 * 3 to change the factors of 3 ---*--- = 364C~NjHxHxN; 1 3 making a fraction = one 3 1C~NjHxHxNE thereby giving the equivalent equation X = 36 (ANSWER)4C~NjHxHxNF BASIC PROPERTIES 1 involves finding the value of X in equations usingC~NjHxHxNG the additive inverse - where you add the opposite of a term to both4C~NjHxHxNG sides of the equal sign. Then you may have to use the multplication4C~NjHxHxNK or division axiom to find the simplest form of the equivalent equation.4C~NjHxHxNG EXAMPLE: three times a number increased by five is fourteen becomes C~NjHxHxN, 3X + 5 = 14C~NjHxHxNC - 5 -5 add -5 to both sides C~NjN, ------------CNHxHxHmA^"_NHPNM 3X = 9 then divide by 3 to find X=3"_NC~NjHxHxNF BASIC PROPERTIES 2 involves finding the value of X in equations usingC~NjHxHxNG the additive inverse - where you add the opposite of a term to both4C~NjHxHxNG sides of the equal sign. Then you may have to use the multplication4C~NjHxHxNK or division axiom to find the simplest form of the equivalent equation.4C~NjHxHxNH EXAMPLE: seven times a number decreased by four is seventeen becomesC~NjHxHxN, 7X - 4 = 17C~NjHxHxNC + 4 +4 add +4 to both sides C~NjN, ------------CNHxHxHmA^"_NHPNM 7X = 21 then divide by 7 to find X=3 "_NC~NjHxHxNH COMBINE LIKE TERMS 1 involves finding the value of X in equations usingC~NjHxHxNJ the commutative property to combine like terms on one side of an equalC~NjHxHxNF sign first. Then you might use the multplication or division axiomC~NjHxHxNF to find the simplest form of the equivalent equation. X = (ANSWER)C~NjHxHxND EXAMPLE: three times a number increased by the number is sixteenC~NjHxHxN, 3X + X = 16C~NjHxHxNB 4X = 16 combine the X termsC~NjHxHxN6 then divide by 4 to find X = 4C~NjHxHxNH COMBINE LIKE TERMS 2 involves finding the value of X in equations usingC~NjHxHxNG the additive inverse - where you add the opposite of a term to both4C~NjHxHxNA sides of the equal sign. Then you might use the multplicationC~NjHxHxNK or division axiom to find the simplest form of the equivalent equation.4C~NjHxHxNK EXAMPLE: seven times a number is the same as 16 decreased by the number4C~NjHxHxN, 7X = 16 - XC~NjHxHxNC + X + X add +X to both sides4C~NjN, ------------CNHxHxHmA^"_NHPNM 8X = 16 then divide by 8 to find X=2 "_NC~NjHxHxNFCLEAR PARENTHESES 1 involves finding the value of X in equations usingC~NjHxHxNE the distributive axiom to multiply a number or term outside a set of4C~NjHxHxN< parentheses to all terms inside the parentheses: 3(X+5)= 27C~NjHxHxN> would become the equivalent equation 3*X + 3*5 = 27C~NjHxHxN> and then multiply 3X + 15 = 27C~NjHxHxN> and use the additive inverse - 15 -15C~NjHxHxN> creating the equivalent equation 3X = 12C~NjHxHxNC and divide each side of the equation by 3 for X = 4 (ANSWER)4C~NjHxHxNFCLEAR PARENTHESES 2 involves finding the value of X in equations usingC~NjHxHxNG more complicated use of the distributive axiom to multiply a number or4C~NjHxHxN8 term outside a set of parentheses to all terms inside -C~NjNB 4(X + 2) - 2(X + 1)= 14CNHxHxHmA^"_NHPNF would become the equivalent equation 4*X + 4*2 - 2*X - 2*+1 = 14"_NC~NjHxHxNB and then multiply 4X + 8 - 2X - 2 = 14C~NjNB then combine like terms 2X + 6 = 14CNHxHxHmA^"_NHPNF and use the additive inverse - 6 - 6"_NC~NjHxHxN= creating the equivalent equation 2X = 8 C~NjHxHxNC and divide each side of the equation by 2 for X = 4 (ANSWER)4C~NjHx HxNJ FRACTIONAL EQUATIONS 1 involves finding the value of X in equations usingC~NjHx HxN5 either decimal fractions or simple common fractions.uC~NjNL axiom and clear decimals 100[.02(X + 6)] = (7)100CNNF creating the equation 2(X + 6) = 700CNHx HxNB DECIMAL FRACIONS - use the multiplication .02(X + 6) = 7HPA^"_NHPA"_NHPA^"_NHPA"_NC~NjHx HxNK and then use the distributive axiom etc. to find the form X = 344 (ANSWER)C~NjHx HxNC SIMPLE COMMON FRACTIONS - use the multiplication 1/4(X - 4) = 9C~NjHx HxNH to eliminate the denominator 4 4/1*[1//4(X - 4) = 9*4C~NjHx HxNB creating an equivalent equation {4/4=1} (X - 4) = 36C~NjHx HxNJ and then use equation solving to find that X = 40 (ANSWER)C~NjHx HxNJ FRACTIONAL EQUATIONS 2 involves finding the value of X in equations usingC~NjHx HxNG more complicated rational equations - fractions. The key is to use theC~NjN= by the list of factors of the Least Common Denominator -oCNNO 5*2 (X+3) 5*2 (X+11) 5*2 (99) (X-1)(X-7) (X+10) (X+6) (X-1)(X-7) CNHx HxN@ multiplication axiom and multilply both sides of the equal signHPA^"_NHPA"_NHPA^"_NHPA"_NC~NjHx HxNK ---*----- + ---*----- = ---*--- --------- * ------ = -----* ---------C~NjHx HxNF 1 5 1 2 1 10 1 (X-1) (X-7) 1C~NjHx HxNK Multiply each term by the factors of the LCD and reduce the fractions part4C~NjHx HxNI creating 2(X + 3) + 5(X + 11) = 99 and (X + 10)(X - 7) = (X + 6)(X - 1)C~NjHx HxNH and now use correct equation solving techniques to find the value of X.C~NjBN No problem so farC턶N.HxN Equations: 3X = 12C턶N.HxN Equations: x/3 = 12C턶N.HxN Properties: X+5 = 2C턶N.HxN Properties: X-5 = 2C턶N.HxN Combine Terms 1C턶N.HxN Combine Terms 2C턶N.HxN Clear Parentheses 1C턶N.HxN Clear Parentheses 2C턶N.Hx N Fractions Level 1C턶N.Hx N Fractions Level 2C턶N.BN Desk C터N.HxN About ALGEBRA I C터N.HxN-------------------C터N.Hxp1NC터N.Hxp2NC터N.Hxp3NC터N.Hxp4NC터N.Hxp5NC터N.Hxp6NC터N.Hx A C터N.Hx NFileC터N.Hx N SELECT MENU C터N.Hx N------------------C터N.Hx N OPTIONS C터N.HxN------------------C터N.HxN SCORES - PrinterC터N.HxN SCORES - ScreenC터N.HxN DISK - InputC터N.HxN DISK - OutputC터N.HxN MAKE WorksheetC터N.HxN SET - Time/DateC터N.HxN CHANGE NameC터N.HxN RESTART - TotallyC터N.HxN------------------C터N.HxN QUIT -C터N.HxA C터N.HxNLevel 14C터N.HxN ABOUT Simple EquationsC터N.HxN EXAMPLE Simple Equations C터N.HxN WORK Simple EquationsC터N.HxA C터N.HxNLevel 24C터N.Hx N ABOUT Basic PropertiesC터N.Hx!N EXAMPLE Basic Properties C터N.Hx"N WORK Basic PropertiesC터N.Hx#A C터N.Hx$NLevel 34C터N.Hx%N ABOUT Combine Like TermsC터N.Hx&N EXAMPLE Combine Like Terms C터N.Hx'N WORK Combine Like TermsC터N.Hx(A C터N.Hx)NLevel 44C터N.Hx*N ABOUT Clear ParenthesesC터N.Hx+N EXAMPLE Clear Parentheses C터N.Hx,N WORK Clear ParenthesesC터N.Hx-A C터N.Hx.NLevel 54C터N.Hx/N ABOUT Fraction EquationsC터N.Hx0N EXAMPLE Fraction Equations C터N.Hx1N WORK Fraction EquationsC터N.Hx2A C터N.Hx3A C터N.A 0Bm BmA 0A 40A C0A$ 0A* 0?<NNTA0N.)|aD multiplied to the same number decreased by HPA킸"_NHPp.N"_NC킬NHxHxHmA킈"_NHPA킬"_NC턤~NjHxHxAvNCt~NVHxHxHxpCt~NNC~NjN! and also multiply both the AHPA&"_NHPN(X) and "_NHPA&"_NHPN(-"_NHPA킸"_NHPp)N"_NCNN The equation would be HPA"_NHPN + "_NHPA"_NHPN( X + "_NHPA "_NHPN) = "_NHPA&"_NHPN (X - "_NHPA킸"_NHPp)N"_NCNN( parentheses and multiply both the HPA"_NHPN(X) and "_NHPA"_NHPp(N"_NHPA "_NHPp)N"_NC킎NHxHxHmA^"_NHPN* now use the distributive property taking "_NHPA"_NHPN to each term inside the"_NHPA^"_NHPA킎"_NHPA^"_NHPA"_NC턪~NjN6 the equal sign and then use the division axiomCNN< and use the addition axiom to combine like terms acrossCNN and combine like terms HPA`NN"_NHPNX + c"_NHPAfNA`NN:A퀄NNXN"_NHPN = t"_NHPAxNN"_NHPNX - "_NHPArNAxNN:N"_NC킎NHxHxN which would be HPA"_NHPN + "_NHPA`NN"_NHPNX + "_NHPAfNA`NN:N"_NHPN = "_NHPA&"_NHPNX - "_NHPArNAxNN:N"_NHPA^"_NHPA킎"_NHPA^"_NHPA"_NHPA^"_NHPA"_NC턪~NjN= of the equivalent equation: X = (ANSWER)CNN. to find the simplest form HPAxNA`NNTN"_NHPN "_NHPAxNA`NNTN"_NCNN if we divided both sides by rHPAxNA`NNTN"_NHPN ---- ----"_NC킎NHxHxN)and that would make this HPAxNA`NNTN"_NHPN X = "_NHPArNAxNN:&<x*<N:HAfNA`NN:A퀄NNXL8NTN"_NHPA^"_NHPA킎"_NHPA^"_NHPA"_NHPA^"_NHPA"_NC턪~NjABNANNN:HATNANNN:L8NXHABNA~NN:HANA~NN:L8NTL8NXA퀄NA퀄NNCNN HPA킦"_NHPN times the quantity of "_NHPA킠"_NHPN, being added to a certain number is the same"_NHPA^"_NC킂NN as HPA킾"_NHPN4 times the quantity of the same number decreased by "_NHPA<"_NHPN, and "_NHPA^"_NC킈NN" that being subtracted from HPA"_NHPN. Find the number.e"_NC킬NHxHxHmA킈"_NHPA킬"_NC턤~NjHxHxA킚NCt~NVHxHxHxpCt~NNC~NjN" and also multiply both the -HPA킾"_NHPN (X) and -4"_NHPA킾"_NHPN(-"_NHPA<"_NHPp)N"_NCNN The equation would be HPA킦"_NHPN( X + "_NHPA킠"_NHPN) = "_NHPA"_NHPN - "_NHPA킾"_NHPN (X - "_NHPA<"_NHPp)N"_NCNN( parentheses and multiply both the HPA킦"_NHPN(X) and "_NHPA킦"_NHPp(N"_NHPA킠"_NHPp)N"_NC킎NHxHxHmA^"_NHPN* now use the distributive property taking "_NHPA킦"_NHPN to each term inside the"_NHPA^"_NHPA킎"_NHPA^"_NHPA"_NC턪~NjN6 the equal sign and then use the division axiomCNN< and use the addition axiom to combine like terms acrossCNN and combine like terms HPANNN"_NHPNX + c"_NHPATNANNN:N"_NHPN = -"_NHPA~NN"_NHPNX + "_NHPANA~NN:A퀄NNXN"_NC킎NHxHxN which would be HPANNN"_NHPNX + "_NHPATNANNN:N"_NHPN = "_NHPA"_NHPN - "_NHPA킾"_NHPNX + "_NHPANA~NN:N"_NHPA^"_NHPA킎"_NHPA^"_NHPA"_NHPA^"_NHPA"_NC턪~NjN= of the equivalent equation: X = (ANSWER) CNN. to find the simplest form HPA~NANNNXN"_NHPN "_NHPA~NANNNXN"_NCNN if we divided both sides by rHPA~NANNNXN"_NHPN ---- ----"_NC킎NHxHxN)and that would make this HPA~NANNNXN"_NHPN X = "_NHPANA~NN:A퀄NNXHATNANNN:L8NTN"_NHPA^"_NHPA킎"_NHPA^"_NHPA"_NHPA^"_NHPA"_NC턪~NjNAN&<x*<NfNz A" 0A. 0AN&<x*<NfNzJA" 0A. 0AN&<x*<NfNzA" 0A. 0A.NNCNAN <r$<N&<x*<NXA`N <r$<N&<x*<NXAfN <r$<N&<x*<NXAxNA`NAfNNfNƒNA`NAxNNpJBgp/AfNAxNNpJBgp$VHfNNDA퀜NNC6NA퀨NNC0NA>NNC킬N <r$<N&<x*<NXANA`NNCNAfNNC NAxNNC&NNAN&<x*<NfN <r$<NADNA NNA 0AJN&<x*<NXAJNNADN&<x*<NfN@A 0NNA 0NA6N/APN/A6N/APNCb~NHA6N/APNCb~NHA6N/APNCh~NL8NXL8Nު&< =8 yAfr NAfC탺NHmfA "_NfNԈNNo NameCfNA C탺NANpNlANNppNtANNA0N&<x*<N:Nrr_NN To keep the records straight4N8A0N&<x*<N:Nrr_NN please type in your last nameN8Np r NNNand press sAlr NHmlA "_NfNղN EnteredClNHmfNNo Name4"_NpJBgp/HmlN Entered"_NpJBgp$VHfNAfCTNN:Hmfp N"_NHPAl"_NCTNHxN You have typed in | HPAT"_NHPN| for your name "_NHPNCORRECT | REDO r"_ NAN.AN&<x*<NfNN2NHxNC DO YOU WANT AN EXAMPLE | OF EACH PROBLEM | PRINTED CHPN YES | NO r"_ NA큆N.NNprNNN Now printing - if there is no printer attached I'll be right back - promise!!NA 0 <r$<ANFNNN`NqNqNpNNAn Overall Summary SheetNNpNNFor ATNNNpNNOn NNN at NNNNND # RIGHT # WRONG PERCENTNNAXNNA6 0 <r$<A6NFA큆N&<x*<NfN&AaNNpNNIn the category of TA6NC턶NNNAP 0A6NC턀NAPNFA큆N&<x*<NfNNAPNN.)A6N/APNC턤~NNNNAXNNNN For #APNpNA6N/APNCb~NNNNA6N/APNCh~NNNA6N/APNCn~NNNN`NqNp=rONFNNN`VNqNA`RNNNA 0 <r$<ANFNANN.) ANC턶NNNN`NqNqNN9 Please type in the number for the type problem you want NNA6NA6NzNpJBgp/A6N&<x*<NpJBgp$VHfNNڼNAaNA 0A6NC턀NANFNANN.) A6N/ANC턤~NNNN`NqNqNNNN= Please type the number of the type problem you want printed 4NNAPNAPNzNpJBgp/A6NC턀NAPNNpJBgp$VHfNNڼNN1 How many problems do you want on this worksheet 4NA큌NNNNN+ Type 1 for the answers to be printed sNNN) Type 2 for NO answers to be printeddNNRC*NHm*p1N"_NpJBgp/Hm*p2N"_NpJBgp$VHgA*NANHxNF Do you wish to have this|problem printed with|help sections for studyHPN YES | NO r"_ NAN.AN&<x*<NfNުBmN޸A큒 0A큘 0A큌NA큘NFAaNANNN Printing problem A큘NN of A큌NNAN&<x*<NfNߞNNThe answer for #A큘NN is A6N/APNC~NNNNNN`2NqNN1 Type 1 for the more problems to be printed NNN) Type 2 to leave worksheet generatorpNNRC*NHm*p1N"_NpJBgp/Hm*p2N"_NpJBgp$VHgHm*p1N"_NfNNڼBmNNNprNNN Now printing - if there is no printer attached I'll be right back - promise!!NNA6N/APNC턤~NNNA큒N&<x*<NfNNAPN/pC턪~NNNNAPN/pC턪~NNNAPN/HxHm>APN/pC턪~N"_NC턪~NjNAPN/pC턪~NNNA 0 <r$<ANFNNN`NqNqNNHPp"_NCxNNHPpr"_NDC~NAxNA큞NA큞N&<x*<NfN <r$<A큞NNTA큞NN PMC탄NA큞NNCxNNN AMC탄NHmxp:N"_NHPA~"_NHPA탄"_NC탊NNHmp"_NHPA "_NfN2NbHmp"_NCxNHmpr"_NDC~NAxNA큞NHmp"_NC탄NHmNPM"_NpJBgp/HmNpm"_NpJBgp/HmNPm"_NpJBgp$VHfNA큞N&<x*<NXA큞NA큞NNCxNHmxp:N"_NHPA~"_NHPp:N"_NHPNHPp"_N"_NC탐NNANpNlANNppNtANNA0N&<x*<N:Nrr_NN Please type in the date if4N8A0N&<x*<N:Nrr_NN$ it is not correct and press RETURNN8Np rNNNNp N"A탖r NANpNlANNppNtANNANA C탐NA0N&<x*<N:Nrr_NN# Please type in the time if it is4N8A0N&<x*<N:Nrr_NN not correct and press RETURNN8Np rNNA탊Np N"A탐r NHmA "_NfNNC탐NNA NHmA탖"_NXNA$N&<x*<NfNNArNANpNlpNppNtANNp5NC태NA0N&<x*<N:Nrr_NN/ YOU MAY change the parts below BUT the program-N8A0N&<x*<N:Nrr_NN1 will operate BEST with what has been set - there4N8A0N&<x*<N:Nrr_NN3 are no guarantees on what will happen with changes4N8Np r NN.Please type in the number of problems to work NNpr NNPress RETURN to keep it A태Np N"A태rNHmA "_NfNp5NC태NA태NANAN&<x*<NpJBgp/AN&<x*<NpJBgp$VHfNFNANNp r NN3Please type in the number for the DIGITS - like 4564NNp r NN4which will work with the power of ten you select to NNp r NN,give numbers range. (THINK SMALL - LIKE 10) NNp r NN Press RETURN to keep it 10 A탢rNHmA "_NfNN10C탢NA탢NANANNp rNN TYPE 1 NNp rNN!for POSITIVE and NEGATIVE numbers4NNp rNN PRESS RETURNNNp rNN(for only POSITIVE numbers (GOOD IDEA!!) NRC탨NHmp N"_NpJBgp/Hmp1N"_NpJBgp$VHgA탨NANANBmNp r NN0 Now please select the power of ten to be used -NNp r NN& 1 - HUNDREDTHS like 2.04 and 12.94NNp r NN! 2 - TENTHS like 2.1 and 456.84NNp r NN2 3 - ONES standard whole numbers like 45 and 56NNpr NN4 4 - TENS with zeros at the end like 340 and 210 Npr NN& or RETURN for whole numbers only NNRC*NHm*p1N"_NpJBgp/Hm*p2N"_NpJBgp/Hm*p3N"_NpJBgp/Hm*p4N"_NpJBgp/Hm*p N"_NpJBgp$VHgdHm*p N"_NfNNHm*p1N"_NpJBgp/Hm*p4N"_NpJBgp$VHfNVNA*NN2H <r$<L8NTA NBm(ANNp r NN1 Here is a check of the things we will be doing -NNp rNNThe greatest digits will be ANNNp rNNwith a power of ten that is A NNNp rNNgiving us a range of A N&<x*<NlNN to A N&<x*<NlANN:NNNp rNNand we will be using AN&<x*<NfNHNNPositive and Negative numbersuNNlNNonly Positive Numbers NNprNNand we will do 4ANN problems4NNpr NN1LEFT button or return to continue - c to CHANGENN0H AN. AN. AN.NRC*NAN&<x*<NpJBgp/Hm*p N"_NpJBgp/Hm*pcN"_NpJBgp/Hm*pCN"_NpJBgp$VHgPHm*pcN"_NpJBgp/Hm*pCN"_NpJBgp$VHfNNNHxN% Read the message to find out what 4HPA6NC턶N"_NHPN are all about.4"_NCN.ANNprNNA큤 0 <r$<A큤NFNpNA6N/A큤NC~NNNN`NqNqNNNpNN3 You should study each example before working them.NNprNpCNNNA* 0A C0ANpNlpNppNtANNNHxN Study the above EXAMPLE 4HPA탺"_NHPN to see how it is done.a"_NCN.ANANAFNHm*p0N"_NfN&NA*NHA6NC턀NL8NfNXNA*NAPNANNprNA6N/APNC턤~NNNNp rNAPN/pC턪~NNNNp rNAPN/pC턪~NNNNprNAPN/pC턪~NNNpNpNA0N&<x*<N:NrrNA0N&<x*<N:Nr"<NA* 0NprNpCNNNANpNlpNppNtANNNBmANANAFNHm*p0N"_NfNNA*NHA6NC턀NL8NfNBNANA*NAPNNprNA6N/APNC턤~NNNA* 0A큶N&<x*<NXA큶NpNpNA0N&<x*<N:NrrNA0N&<x*<N:Nr"<NHxN Use paper and pencil HPA탺"_NHPN$ to figure the answer then carefully"_NHPA^"_NHPN type in your answer. "_NHPA큪NCN"_NCN.NprNpCNNA6N/APNC~NNR/A탮"NA탮NHA6N/APNC~NNL8NfNAdNpNlpNppNtANNA0N&<x*<N:NrrNNGood, HPA탺"_NHPN, that's CORRECT!c"_NN8pNlpNppNtANNA\N&<x*<NXA\NA6N/APN/A6N/APNCb~N&<x*<NXCb~NVARNA큼N&<x*<NXA큼NNNA큪N&<x*<NXA큪NA큼N&<x*<NXA큼NA큪N&<x*<NfN$Np rNAPN/pC턪~NNNA큪N&<x*<NfNpNp rNAPN/pC턪~NNNA큪N&<x*<NfNNprNAPN/pC턪~NNNA큪N&<x*<NfNAdNNNpAbN&<x*<NXAbNA6N/APN/A6N/APNCh~N&<x*<NXCh~NVARNBmAdNpNlpNppNtANNA0N&<x*<N:NrrNN The answer ,HPA탺"_NHPN , is X = 4"_NHPA6N/APNC~N"_NN8pNlpNppNANNHxNJ Do you wish to have this|problem printed out to save|it for further studyHPN YES | NO nr"_ NAN.AN&<x*<NfNA`RNANpNlpNppNtp NNHxN Click the box to continue | HPANC터N"_NHPN>|MENU will return to the start|if you do NOT wish to continue."_NHPN 3X = 12 |X/12 = 3 | MENU r"_ NA퀖N.A퀖N&<x*<NfNNA퀖NzNXA6NAN&<x*<NfN:ANNAN&<x*<NfNlANNAN&<x*<NfNANNHxN Click the box to continue | HPANC터N"_NHPN>|MENU will return to the start|if you do NOT wish to continue."_NHPN X+5 = 2 | X-5 = 2 | MENU r"_ NA퀖N.A퀖N&<x*<NfNN8A퀖N&<x*<NXA6NAN&<x*<NfNANN8AN&<x*<NfN ANN8AN&<x*<NfN8ANNHxN Click the box to continue | HPANC터N"_NHPN>|MENU will return to the start|if you do NOT wish to continue."_NHPN 3X+X=5 | 3X-4=X | MENU r"_ NA퀖N.A퀖N&<x*<NfN$NA퀖N&<x*<NXA6NAN&<x*<NfNxANNAN&<x*<NfNANNAN&<x*<NfNANNHxN Click the box to continue | HPANC터N"_NHPN>|MENU will return to the start|if you do NOT wish to continue."_NHPN3(X-5)=1|X=2(X+4)| MENU r"_ NA퀖N.A퀖N&<x*<NfNNtA퀖N&<x*<NXA6NAN&<x*<NfNANNtAN&<x*<NfNHANNtAN&<x*<NfNtANNHxN Click the box to continue | HPANC터N"_NHPN>|MENU will return to the start|if you do NOT wish to continue."_NHPN FRACT1 | FRACT2 | MENU r"_ NA퀖N.A퀖N&<x*<NfN`NA퀖N&<x*<NXA6NAN&<x*<NfNANNAN&<x*<NfNANNAN&<x*<NfNANNA큶 0A* 0Bm:pNxpN|pNprNA0N&<x*<N:Nr"<NpNxpN|pNA0N&<x*<N:Nrr#NA0NvNNr"<SNA0N&<x*<N:NrrLNA0N&<x*<N:Nr"<0NA0N&<x*<N:Nrr#NA0N&<x*<N:Nr"<]NpNxpN|A0N&<x*<N:NrrNA0N&<x*<N:Nr"<NNA0N&<x*<N:NrrFNA0N&<x*<N:Nr"<+NA0N&<x*<N:NrrNA0N&<x*<N:Nr"<XNpNpNA0N&<x*<N:NrrONA0N&<x*<N:Nr"<"NpNlpNppNtANNA0N&<x*<N:NrrHNN ALGEBRA I SERIES 4N8pNڲA0N&<x*<NfN pNlpNp <NtpNA0N&<x*<N:Nr"<lNN& Written and Compiled in GFA BASIC "<yN:A0N&<x*<N:Nr"<{NN& BY Charles O. Gauthier "<yN:pNlpNpA0N&<x*<N:Nr"<lNN& Written and Compiled in GFA BASIC N8A0N&<x*<N:Nr"<{NN& BY Charles O. Gauthier N8pNxpN|pNpNlpNppNtANNA0N&<x*<N:Nr"<NNLINEAR EQUATIONSN8pNlpNppNtANNA0N&<x*<N:Nr"<NN' A tutorial program covering the axioms4N8A0N&<x*<N:Nr"<NN' and properties for equation solving as4N8A0N&<x*<N:Nr"<NN taught in Algebra I.iN8A0N&<x*<N:NrrHNN Written byN8A0N&<x*<N:NrrHNNEDUCATIONAL MANAGEMENT SYSTEMSN8A0N&<x*<N:NrrHNNEDUCATIONAL SPECIALISTS4N8A0N&<x*<N:Nr"<rN <NHPN 1987 Charles O. Gauthier4"_NN8A0N&<x*<N:Nr"<rNN P.O. Box 153N8A0N&<x*<N:Nr"<rNNHuntingtown, Md. 20639N8A 0A 0ANHxNF Do you want to read the | INSTRUCTIONS | or just get to workHPN READ | WORK ir"_ NA퀖N.A퀖N&<x*<NfN NLANpNlpNppNtANNA0N&<x*<N:Nr"<NN- Working with LINEAR EQUATIONS is an area inN8A0N&<x*<N:Nr"<NN.Algebra I where the student applies all of theN8A0N&<x*<N:Nr"<NN.knowledge of transformation by correctly usingN8A0N&<x*<N:Nr"<NN/axioms and properties of mathematics to be able4N8A0N&<x*<N:Nr"<NN-to correctly manipulate equivalent equations.4N8A 0A 0ANANpNlARNNppNtANNA0N&<x*<N:Nrr_NN+It is assumed that the user of this program4N8A0N&<x*<N:Nrr_NN(is enrolled in a course using one of theN8A0N&<x*<N:Nrr_NN+ALGEBRA I texts that are normally used, and4N8A0N&<x*<N:Nrr_NN-can use the textbook for additional resource.4N8A0N&<x*<N:Nrr_NN,It is also assumed that the user is familiarN8A0N&<x*<N:Nrr_NN# with ALGEBRAIC REPRESENTAION.4N8A 0A 0ANANpNlpNppNtANNA0N&<x*<N:Nrr}NN,If this is your first time using the programN8A0N&<x*<N:Nrr}NN*you will have to answer the questions thatN8A0N&<x*<N:Nrr}NN.come up like typing in your name. You can thenN8A0N&<x*<N:Nrr}NN.set the DATE and TIME to be what you want. TheN8A0N&<x*<N:Nrr}NN.program will then display a list of selectionsN8A0N&<x*<N:Nrr}NN%about what numbers etc. will be used.4N8A 0A 0ANANpNlpNppNtANNA0N&<x*<N:Nrr}NN,Most interaction is either with the keyboardN8A0N&<x*<N:Nrr}NN-or with the mouse. When you reach the SUMMARY4N8A0N&<x*<N:Nrr}NN,SCREEN there will be a menu displayed acrossN8A0N&<x*<N:Nrr}NN-the top, with drop-down menus to select from.4N8A0N&<x*<N:Nrr}NN,You MUST use the mouse to select from these,N8A0N&<x*<N:Nrr}NN* pressing the LEFT button for your choice.N8A 0A 0ANANpNlpNppNtANNA0N&<x*<N:NrriNN1When you are working a problem, and you want more4N8A0N&<x*<N:NrriNN1help, just press RETURN and a second part of help4N8A0N&<x*<N:NrriNN3will be displayed. Press RETURN again and the third4N8A0N&<x*<N:NrriNN1part of help will be displayed. This also happens4N8A0N&<x*<N:NrriNN3if the answer you type in is incorrect. After three4N8A0N&<x*<N:NrriNN$tries, the answer will be displayed.N8A 0A 0ANANpNlANNpANNtA0N&<x*<N:Nr"<NN GOOD LUCK!!bN8A 0A 0ANANpNlANNppNtANNA0N&<x*<N:Nrr_NN+In order for the work to be as personal as 4N8A0N&<x*<N:Nrr_NN(possible, please type in your first nameN8Np r NNNand press yAfr NAfC탺NHmfA "_NfNNNo NameCfNA C탺NANpNlANNppNtANNA0N&<x*<N:Nrr_NN To keep the records straight4N8A0N&<x*<N:Nrr_NN please type in your last nameN8Np r NNNand press sAlr NHmlA "_NfNN EnteredClNHmfNNo Name4"_NpJBgp/HmlN Entered"_NpJBgp$VHfN0AfCTNNTHmfp N"_NHPAl"_NCTNHxN You have typed in | HPAT"_NHPN| for your name "_NHPNCORRECT | REDO r"_ NAN.AN&<x*<NfNNLAfNA 0A 0ArNHxNEDo you wish to bring in | from DISK a previous set of | work HPN YES | NO r"_ NAN.AN&<x*<NfNA\NArNANANANANC터NHPp"_NC탴NANzNfN0A C탴NpNlpNppNtANNA0N&<x*<N:Nr"<NNSummary ScreenN8pNlpNppNtANNNp r NN Problem # 4A큶NN out of ANN Time A탊NN Date NNNNp r NN TOTAL TRIES = tA큼NN Correct = A\NN Incorrect = DAbNNNp r NN Total problems worked = =AbNA\NNXNN Percent = cAVNp%N"NNp r NN Digits = ANN Power 10 = A NN Range = A N&<x*<NlNN to A N&<x*<NlANN:NNNpr NN From the MENU, HPAT"_NHPN, your last choice"_NNNNprNNwas ANC터NHPp"_NNN in A6NC턶NNNNpr NNThe memory left = N٤NNpNlpNppNtANNA0N&<x*<N:NrrHNNAlgebra I - LINEAR EQUATIONSN8pNlpNppNtANNA0N&<x*<N:Nrr4NN#Messages on continuing the program:!N8A0N&<x*<N:NrrdNN1 Use the mouse to select from the DROP-DOWN menus4N8ArNA터NNXANA큶NNfN#A.N)|# JN6AN`N^NXNpNAN.AN&<x*<NfN$HxN1 LINEAR EQUATIONS| ALGEBRA I Programmed by| PHP <N"_NHPN0 Charles O. Gauthier|EMS PO Box 153 Htg Md 20639"_NHPN OK r"_ NAN.AN&<x*<NpJBgp/AN&<x*<NpJBgp/AN&<x*<NpJBgp$VHfN%^ANAN&<x*<NpJBgp/AN&<x*<NpJBgp/AN&<x*<NpJBgp$VHfN%ANAN&<x*<NpJBgp/AN&<x*<NpJBgp/AN&<x*<NpJBgp$VHfN&jA>>>N>>t4|j fjjjj:J VjNj>"0(hF   2 `<:Nf.8t*&.FB82x ,>0 ,,fLLL td 8 " "D " "D " "D " "D " ".* ` b f ~ 0(h < B*&t&*&4  &*Welcome to the use of ALGEBRA I - LINEAR EQUATIONS 1. There are three files on the disk. You must have all three in this SHAREWARE version. README - This is the file you are reading now. It only tells you what each file in the set does and is not needed to run the programs. But it handy to know what to do. ALG11A.PRG - This is the BOOT program for this disk. In the SHAREWARE version you must load this PRG file first, read the documentation if you want, print it out or print out an order form. Or you can just use the arrows to go to the MENU and select ALGEBRA I - LINEAR EQUATIONS and press ENTER and the main program will run. ALG11B.PRG - This is the main program and if you have read or printed out the documentation then you know the power it has to let you configure it for your own uses. When you register your version (directions are in the BOOT program) you will receive an updated version, printed documentation, and the program will include all working functions. THANK YOU AND ENJOY!!! Educational Management Systems - P.O. Box 153 - Huntingtown, MD. 20639 The ALGEBRA I SERIES developed by Educational Management Systems under the guide of Charles O. Gauthier, Senior Programmer, is based on twenty years of teaching Algebra I by Mr. Gauthier from three different text series. The program on this disk has many features: * The user may store or retrieve the results of any work session to or from disk * The user may print worksheets with as many problems as wanted, and each would be different - there is also the option to select the help sections to be printed also to make them instuctruction worksheets * There are three levels of help available with each separate problem, and the help is geared toward helping the user to understand the specific skill for that particular problem * The entire operation of the program is within the user's control - allowing the work session to be as long short as the need be * The work and program changes use the GEM interface as much as possible - for ease of use * The user may go to the SELECT menu and make the problems more difficult, work more problems, select a higher range of digits etc. * From the OPTIONS section of the FILE, the user may change their name, the date, save a file, input a file, see the scores on screen or to the printer, or any of the other OPTION functions * Randomly generated number make each problem in each program different - and worksheets with many of the same type of problem will ALL be totally unique problems Detailing each of the separate programs: LINEAR EQUATIONS - There are 66 different types of linear equations that range from simple equations like 3X = 12 to fractional equations like these X + 2 X - 3 ------- = ------- X + 3 X - 7 If the the user cannot solve the equation within the the three tries given, abnd with the three levels of help presented then the user is given the option of printing that exact problem out to the printer for future study. The five levels of equation solving are: LEVEL 1 - SIMPLE EQUATIONS This level introduces the multiplication and division axioms in solving equations of 8 different types of simple equations ranging from 3X = 12 through a verbal problem application of the same skills. Use of the commutative property of multiplication is also used. LEVEL 2 - BASIC PROPERTIES This area of equation solving introduces the manipulation of equations using the process of the additive inverse to solve 14 different types of basic equations ranging from X + 5 = 7 to verbal problems expressing the same properties. LEVEL 3 - COMBINE LIKE TERMS This section of equation solving introduces the associative property of addition, and through 16 different and progressively more difficult types of equations that range from 3X + X = 16 to verbal problems using the same properties, emphasizes the step by step solution of equations. LEVEL 4 - CLEAR PARENTHESES This part of the program introduces the distributive property of multiplication over addition and, through 11 different kinds of equations ranging from 3(X + 9) = 42 to verbal problems with parentheses on both sides of the equal sign, stresses the correct steps in finding the simplest form of the equation. LEVEL 5 - FRACTIONAL EQUATIONS This part introduces the concept of fractional equations, applying all the previous axioms and properties. Through a series of equations that range from decimal and common fraction equations through equations with binomial numerators and denominators there are 7 different types of equations to select from including verbal problems. .  "f..  "fALG14A PRG |ALG14B PRG m3jREADME B^`R|` Efv*oM m HPHUBg?<JNA(m)m -:gS)@ -OK1PC#HNVHx?<HNA@)@l/?<HNA)@h&@)@XЬl)@d)@`ARCpr Ѝ"QHNFALNzHz2?< NA\pdAxr0XQ)K\NN>>>JrBjNuHz?<&NN\NCAp$L Qp N9lrBlJpNNpMN9@pdAr 0Q0tr N09lNupealp`NuaNJHz?<&NNBWNANC2A@p222NrҌ0<NB0,rNurA9Ar`v C9Cr`rt9@9A9BNrrҌpsNB0,Nu9@N`rDҌpsNBNuC2 @ e @}bA@p222Nr,Ҍ0<NBNu pa2|a>:><|a4g RGj`a(0GVfA1G<ap??<?<NM\Nu??< NMXNu&8*:EENuHn 2$4BBNuAd RdQRB BbABJk 0NuJBjBBXNu 0Nu 2$NuE`B<gJEgEjCDEDF Fe( F dF8BCHC` F0bFHC8v` HD8HDkDуdQRBNuDdBDA@kgAр[SBk0NuJlJBk&Nu0g H@rB JkЀ[` BbNuJBj prtNuHPAJgPpr$< _Nup _NtNu&8*JEgJBgJjBEB:HC҅H@:|ۆ҄ۆ<HC>H@ЃdHA@B@H@хk HAҁHAрSB BbNuNfpNNuCDEJEgJBgJjBEBQ*HE?<>0rHGGdHGGdSWDуdi\?<>0rHGGdHGGdSWDуdiN?<>0rHGGdHGGdSW2 H@N2?<,>CEdGH@0r`?<`JBgVB&8TTDуdQRBNuDAр&AdRAрAрDуNuprt|=|z  g +g -f .g20  b 0e 9b da`RF` .f 0e 9b dajSF` Eg efX +g -f 0e 9oSH`00  b&Hz0  b E Do`HJjDDDS4</NDJFkSFk&aQND`Ha"FFaQL8N6.zJgtBnzNupr$<NuJBk4<rpAC v JBgJjv-| Bb BkH>aaNRFBdL8?N<JBga2SF Be BgQRB`ApdR e <rRF&0xafEv+0JFjDFv-Hƌd0BFHF 0HF0ANuprt|`2:HQ A dNAXJ@jNNuvN")@p `H@)@prtN0AHplrtN0B 2pN pNpapaprapalpalpalpaTpaTpaTBp'a?<NNT@B){L9|0<rtN0papap9@p`pvN"v`v`vj`v `v`v`v`?2(g"P@g2RADAH""l`r2oZAe 1@#)I`Nuk1@Nup NN"l`dpNAtrdJhk\QpaNH ld$l`"Hg: k&@0+R`g k#&@0+S@H3 Q&f)I`LNu?<?<NAXJgJgNAH@B pN*A NuApN*N$N$BS@kH2QNupC ұd"X0Pg"RA$D#Nu"X0NuN@J@gpNu _0HpN* _0HpN*p"_0HqNp"_0HqNE ұeHHQ0)N $_$ZR@H`2QNu$Y0gHR@@"D%$X0P2g# R@%NupE $ $X0dP.gRG,D%pr Y2dP.gRG,D!p4Ae4v`VfANuNWHNuNVHNu Ihd"*N$E8*$R`"QˈN@ ENu(* 0(iN$E 4R`Q$D 4R`QˈN@ DN@ ENu2p <0N`QNuN@J@fC )I( BA)Hp9@J9@L9@NpyN DJlrgNp NBNq Y Qf*d ЀЀ 2$4BBNutHRp` HRpJQfpNNq Y Qfd ЀЀNuNnNt$_& Y Qf d փփABJk 0NNrNl$_& if"QdփփHRNNlNr~,Nq8DRzXEEg"7PNqR$HBJBgpNJgJigp`eetЂ`"ЀeЁdp`ЀeЀe"Ѕe$W.H@@N*L"2` NqR YEjrd0` SjN$_NЀЀN YQf "_Nq*eNrNl*< NqbІSGfN $_Nփփ"@HHRN YQf "_&Nq*eNrNl*<&NqbֆSGfN" KC`e N`d \N` l\Ӭ\ NupNd d3 d# d# # d# # # # d# # # # # # # # dB` # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # QNu0,p2,rR@RANuS@SA9@p9ArNu9@pN04, 6fprta0,2,NuA4, 6f9@9Ap rt`, HHHNup`pNu)H9@Jp4NP'J&f H LNu P&NuQ'` J,'fJ,&gHA#ȇeC! B,&LNu-W)K20, 8k8@ gJl&f"Nu , 8g"P 8 @/, 8Nz  8fQ 8J,'gNupB <``L@ H)l26)z @W , Jf`CfSHj-D@Hd0H@H 0H@0`fSC\fS , @a"C\fApNNNHP?< NA\NuH@aa/a a Nu@0 9c^Nu| PC>$Error # ][Abort]\f.B &lX)K\)ld` lp ,BQjNup(NV _b@gGHpp 0f NuGNpz @"l`Yd&-KNN"l`YepN&#k"C-KN"Cփk փk2##`փk"`2`$Y8gHRDD*D%H8#$c2g# HRDD%H`/&#k gH`Nq-KNuHxpC~N <C NpCNpC&NpC,N)|: NxN select to have an example printed with the scores, a randomly C NHx?NxN generated example of each problem will be printed along with C NHx@NxN the score ( RIGHT/WRONG/PERCENT ) in each category. C NHxANxN C NHxBNxN C NHxCNxN C NHxDNxN C. DISK SCORES - INPUT C NHxENxN In selecting this a DIRECTORY will appear of any files with the C NHxFNxR extension of AVP, which stands for Algebra Verbal Problems. If C NHxGNxN there are NO FILES, the error # 53 will come up. That's okay. As C NHxHNxN in all errors, the program will tell you the number - you can C NHxINxN look them up in a DOS manual, but you will always go back to the C NHxJNxN MENU. To LOAD a FILE type the name and extension and press ENTER. C NHxKNxN C NHxLNxN D. DISK SCORES - OUTPUT C NHxMNxN A DIRECTORY of all files on the disk will come up, but you can C NHxNNxN only type in any name but only AVP as the extension. You should C NHxONxN use ALL CAPITALS for the extension. C NHxPNxN C NHxQNxN C NHxRNxN II. PARAMETERS SECTION C NHxSNxN C NHxTNxN A. CHANGE THE NUMBER SEED C NHxUNxN You can change the base number to anything you want. It is set C NHxVNxN at 10, which means that all numbers that are generated randomly C NHxWNxN will be between 1 and 10. If you were to use 1000 then numbers C NHxXNxN will come up from 1 to 1000. C NHxYNxN C NHxZNxN B. CHANGE + OR - ( INTEGERS ) C NHx[NxN The default is for only POSITIVE numbers - but you can opt for C NHx\NxN both POSITIVE and NEGATIVE numbers. While this provides more C NHx]NxN challenging work, there might be some confusion in the screen C NHx^NxN presentation with double negatives, etc. C NHx_NxN C NHx`NxN C. CHANGE THE POWER OF TEN C NHxaNxN If you desire, you may decide to use numbers other than whole C NHxbNxN numbers, and based on the digits you placed in the number seed C NHxcNxN you can create fairly complex numbers. Again more challenging C NHxdNxN but the default of whole numbers only is safer. C NHxeNxN C NHxfNxN D. CHANGE NAME C NHxgNxN In selecting this you will be prompted to either type in a new C NHxhNxN or different name. If you want to keep what it currently is then C NHxiNxN just press ENTER and it will stay the same. C NHxjNxN C NHxkNxN III. KEYS CONCEPTS OF VERBAL PROBLEMS C NHxlNxN C NHxmNxN There are 6 areas of work that are listed in VERBAL PROBLEMS . C NHxnNxN If you select any of these areas, a broad hint of help will come C NHxoNxN up, and notes could be made of each of these KEY CONCEPTS. These C NHxpNxN are guidelines for successful solutions to each of the different C NHxqNxN areas of linear equations through combining like terms. C NHxrNxN C NHxsNxN IV. STUDY EXAMPLES OF VERBAL PROBLEMS C NHxtNxN C NHxuNxN You would select the area of work that you would want to study. C NHxvNxN Then a sample of each type of problems in that area is presented. C NHxwNxN If you decide not to study any of these press 0 and you would go C NHxxNxN back to the MENU and could re-select what you want to do. C NHxyNxN C NHxzNxN If you press any of the other numbers, a new example of that C NHx{NxN type problem would come up, along with the THREE LEVELS of help C NHx|NxN that would explain how to SET UP and SOLVE that particular type C NHx}NxN problem. Unless you are familiar with each type problem, it is C NHx~NxN suggested that you STUDY it first here, making notes about how to C NHxNxN solve it, then go to the next part of the MENU and try amnd solve it C NHxNxN by yourself. There are a lot of hints of help available. C NHxNxN C NHxNxN C NHxNxN C NHxNxN C NHxNxN C NHxNxN C NHxNxN V. WORK EXAMPLES OF VERBAL PROBELMS C NHxNxN C NHxNxN After you select which area you want to work, you will then select C NHxNxN the type of problem you want to try. The problem is presented with C NHxNxN a HINT OF HELP, and you would be prompted to type in your number C NHxNxN answer. If your answer is incorrect a second hint of help is then C NHxNxN presented and you try again. If incorrect you would be given a third C NHxNxN and final try. If still unsuccessful you would be asked if you would C NHxNxN want a printout of this exact problem with the answer so you could C NHxNxN study it and see what you did incorrectly. In this SHAREWARE version C NHxNxN this feature does not work. In the registered version it does. C NHxNxN C NHxNxN C NHxNxN C NHxNxN C NHxNxN HINTS: C NHxNxN When figuring your answers to problems and then entering them C NHxNxN into the computer, do not use $ (dollar sign), % (percent symbol) C NHxNxN or commas in numbers. These will make your answers incorrect. C NHxNxN C NHxNxN Because this series of programs are text based and will run on C NHxNxN ANY PC configuration, there may be some screens of help that are C NHxNxN supposed to be in charts, but the columns are incorrectly lined C NHxNxN up because some of the numbers have 2 or 3 digits. If you use C NHxNxN careful discretion these should not be a problem. C NHxNxN C NHxNxN C NHxNxN SUMMARY SCREEN C NHxNxN C NHxNxN The SUMMARY SCREEN contains a lot of information that will be C NHxNxN updated as you work the program. It will tell you how many tries C NHxNxN you have had, the number of problems and much much more. It will C NHxNxN tell you about the size of numbers you are using, the power of ten C NHxNxN you are using, etc. It will also let you know what kind of problem C NHxNxN you last did. It is to help you keep track of your work. C NHxNxN C NHxNxN C NHxNxN C NHxNxN DISCLAIMER: C NHxNxN C NHxNxN While we stand behind our products, there is no guarantee in the C NHxNxN outcome for the user. If the disk is defective we will replace it C NHxNxN and except for replacement there is no other stated or imnplied C NHxNxN warranty. C NHxNxN C NHxNxN C NHxNxN C NHxNxN C NHxNxN There are also two other versions available for each of the programs C NHxNxN we market at EDUCATIONAL MANAGEMENT SYSTEMS. C NHxNxN C NHxNxN SCHOOL USE VERSIONS - A teacher may make as many copies as they have C NHxNxN computers (only one teacher). They may set the parameters and have up C NHxNxN to TEN students work at one computer at a time ( it is recommended that C NHxNxN the number be kept to 4 or less ). They may elect for the work to C NHxNxN AUTOMATICALLY advance, decide what type report they want at the end - C NHxNxN individual, group - sent to the disk, the printer or both. C NHxNxN C NHxNxN NETWORK USE VERSIONS - These contain a class management program and C NHxNxN allow the user to set the starting requirements for each student and C NHxNxN manage the student progress - these are SITE LICENSES and may be C NHxNxN incorporated into existing LANs. Information available on request. C NHxNxN C NHxNxN C NHxNxN C NHxNxN C NHxNxN------------------------------------------------------------------------------C NHxNxN EDUCATIONAL MANAGEMENT SYSTEMS C NHxNxN P. O. Box 153 C NHxNxN Huntingtown, Maryland 20639 C NHxNxN------------------------------------------------------------------------------C NHxNxN Please X the ones you want of the HOME USE VERSIONS of these programs C NHxNxN------------------------------------------------------------------------------C NHxNxN TITLE | PRICE | QUANTITY | TOTAL C NHxNxN------------------------------------------------------------------------------C NHxNxN BASIC MATH SKILLS $17.00 each | | C NHxNxN Operations___ Ratio/Prop___ | | C NHxNxN Percents ___ Fractions ___ | | C NHxNxN------------------------------------------------------------------------------C NHxNxN ALGEBRA I SERIES $17.00 each | | C NHxNxN Expres. ___ Linear ___ | | C NHxNxN Systems ___ Verbal ___ | | C NHxNxN------------------------------------------------------------------------------C NHxNxN Sub-Total C NHxNxN --------------------C NHxNxN------------------------------------------------------------------------------C NHxNxN Please X the ones you want of the SCHOOL VERSIONS of these programs C NHxNxN------------------------------------------------------------------------------C NHxNxN TITLE | PRICE | QUANTITY | TOTAL C NHxNxN------------------------------------------------------------------------------C NHxNxN BASIC MATH SKILLS $27.00 each | | C NHxNxN Operations___ Ratio/Prop___ | | C NHxNxN Percents ___ Fractions ___ | | C NHxNxN------------------------------------------------------------------------------C NHxNxN ALGEBRA I SERIES $27.00 each | | C NHxNxN Expres. ___ Linear ___ | | C NHxNxN Systems ___ Verbal ___ | | C NHxNxN------------------------------------------------------------------------------C NHxNxN Sub-Total C NHxNxN --------------------C NHxNxN------------------------------------------------------------------------------C NHxNxN Please X the ones you want of the NETWORKED VERSIONS of these programs C NHxNxN------------------------------------------------------------------------------C NHxNxN TITLE | PRICE | QUANTITY | TOTAL C NHxNxN------------------------------------------------------------------------------C NHxNxN BASIC MATH SKILLS $97.00 each | | C NHxNxN Operations___ Ratio/Prop___ | | C NHxNxN Percents ___ Fractions ___ | | C NHxNxN------------------------------------------------------------------------------C NHxNxN ALGEBRA I SERIES $97.00 each | | C NHxNxN Expres. ___ Linear ___ | | C NHxNxN Systems ___ Verbal ___ | | C NHxNxN------------------------------------------------------------------------------C NHxNxN Sub-Total C NHxNxN --------------------C NHxNxN SHIPPING INFORMATION TOTAL C NHxNxNNAME_____________________________________ of Sub-Totals --------------------C NHxNxNADDRESS__________________________________ (MD. residents C NHxNxNTOWN_________________ STATE___ ZIP_______ 5% sales tax) --------------------C NHxNxNTELEPHONE # ____ - ____ - _______________ C NHxNxNVISA/MC #________________________________ C NHxNxNEXP. DATE _______________________________ TOTAL ENCLOSED --------------------C NHxNxNSIGNATURE _______________________________ C NHxNxN C NHxNxN (payment may be by check) C NHxNxN C NHxNxN Thank you for your order - We hope you enjoy our programs. C NHxNxN C NHxNxN------------------------------------------------------------------------------C NHxNxN C NA ]0AN\rPNC퀢NA @0A @0p|NC퀨Np|NC퀮N <NC퀴Np|NC퀺Np|NCNp|NCNp rJNCNp|rONCNp|rONCN <rONCNB <r$<CNBNx MAIN MENUC&NBHxNx READ DOCUMENTATION C~NBHxN PRINT DOCUMENTATION 4C~NBHxNx HPA퀖"_NHPN "_NC~NBHxNx PRINT ORDER FORM C~NBHxNx END THIS SESSION C~NHxNM PRESS ENTER TO CONTINUE C,Np|NCNNA 0Bm"A$ 0A* 0C*A0 0C*A6 0A< 0ANzC*A0 0ANzNprN$ND FROM EDUCATIONAL MANAGEMENT SYSTEMS THE PROGRAMS ARE AVAILABLE ASNNNG SCHOOL USE VERSIONS - A teacher may make as many copies as they haveVNNNN computers. They may set the parameters and have from 1 to 10 students work NNNO at a time. They may elect for the work to AUTOMATICALLY advance, decide what!NNNP type report is wanted at the end and where it will be sent (disk or printer).NNNN NETWORK USE VERSIONS - These contain a class management program and NNNN allow the user to set the starting requirements for each student and NNNN manage the student progress - these are SITE LICENSES and may be NNNN incorporated into existing LANs. Information available on request. NNCNHmA "_N\fN\N4Hmp"_NpNjABNABN`&<x*<NfNN.ABN`&<x*<NpJBgp/ABN`&<x*<NpJBgp$VHfNANzABN`&<x*<NfN(ANzN4CAH 0AN\~NXLNNANzNprN$N9 ARE YOU SURE YOU WISH TO QUIT - 1 FOR YES ENTER FOR NO4NA`NzNANzNArNzHmp1N"_NffNHAN 0 <r$<ANNNANN\C NNNNh`NqNqNArNzHmp1N"_NffNAN G0 <r$<ANNNANN\C NNNNh`NqNqNNxREED.LYNCNpONHPAr"_NpNpANNpNNx ALG14B.PRGNNAfNzHmp1N"_N\fN@NNNNCA 0A 0A$ @0A* 0C*A0 0C*A6 0AN\CN@N&<x*<NATNtANzC*A0 0ANzNCNHmA "_N\fN NHmp"_NpNjAZNAZN`&<x*<NfNLNAZN`&<x*<NpJBgp/AZN`&<x*<NpJBgp$VHfNANzAZN`&<x*<NfNNNNNAZN`&<x*<NpJBgp/ABN`&<x*<NpJBgp$VHfNA`N`A0NHNA0Nt <r$<ANHNANtA*N`A0NHNhfNCfA 0CTA0 0AZN`&<x*<NpJBgp/ABN`&<x*<NpJBgp$VHfNvA`N`A0NHNA0NtAN`&<x*<NANtATN`A0NHNnfNvA 0C*A0 0ANzNNNA퀐NNNprN$A퀢NAN 0 <r$<ANNN <NNp rNNN <NNNh`NqNqNA퀢NNNNNL F1 - HOME OR F2 - END USE ARROWS ONE LINE <- PG UP -> PG DN ESC endNAl 0Ar 0Ax @0ClAN 0ArN`ANNNAxN\rN$ANN\C NNNAxN`&<x*<NAxNtNh`NqNqNCNHmA "_N\fN8NHmp"_NpNjAZNAZN`&<x*<NfNxNAZN`&<x*<NfNAl 0AlN`&<x*<NArNtAZN`&<x*<NfN0 <r$<ANHNAlNtAlN`&<x*<NArNtAZN`&<x*<NfN <r$<AlNHNAlNtAlN`&<x*<NnfNAl 0AlN`&<x*<NArNtAZN`&<x*<NfNAlN`&<x*<NAlNtAlN`&<x*<NArNtAN`ArNHNfN <r$<ANHNAlNtAlN`&<x*<NArNtAZN`&<x*<NfN" <r$<AlNHNAlNtAlN`&<x*<NnfNAl 0AlN`&<x*<NArNtAZN`&<x*<NfNAlN`&<x*<NAlNtAlN`&<x*<NArNtAN`ArNHNfN <r$<ANHNAlNtAlN`&<x*<NArNtNNNA N\/AN\"N$A퀨N <r NNA퀮NNNA N\/AN`&<x*<NN"N$ANp NA퀜Np NANNNA N\/AN`&<x*<NN"N$ANN HOME USE VERSION 1.1 ANNNA N\/AN`&<x*<NN"N$p|NN <r NNp|NNNNA N\/AN`&<x*<NN"N$ANN This product is SHAREWARE. If ANNNA N\/AN`&<x*<NN"N$ANN you find it useful, please sendANNNA N\/AN`&<x*<NN"N$ANN $17.00 for registration to ANNNA N\/AN`&<x*<NN"N$ANN EDUCATIONAL MANAGEMENT SYSTEMS ANNNA N\/AN`&<x*<NN"N$ANN P.O. Box 153 Huntingtown Md. ANNNA N\/AN`&<x*<NN"N$ANN (301) 535-0062 20639 ANNNA N\/AN`&<x*<NN"N$ANN (c) 1990 by Charles O. Gauthier ANNNA N\/AN`&<x*<NN"N$p N <r NNNNAzNzNA$N\/A0N\"N$NN-->AN\/AN\C~NNN<--NNNprN$ANNNprN$ANNNprN$AN 0 <r$<ANNNANNNh`NqNqNC*A6 0NA$N\/ <r$<A6NHNN"N$AN\C&NNN { USE arrows to move } NAN 0AN\CN@ANNNA$N\/A6N\"N$N AN\/ANN\C~NNN oNA`N`A6NHNA6NtNh`NqNqNA$N\/A6N\"N$N# ESC TO EXIT - RETURN TO SELECToNNNprN$NA~ 0AN\CN@H <r$<L8NAfNtA` 0AN\CN@A`NHN&<x*<NATNtHmA:><|a4g RGj`a(0GVfA1G<ap??<?<NM\Nu??< NMXNu&8*:EENuHnr 2$4BBNuAd RdQRB BbABJk 0NuJBjBBXNu 0Nu 2$NuE`B<gJEgEjCDEDF Fe( F dF8BCHC` F0bFHC8v` HD8HDkDуdQRBNuDdBDA@kgAр[SBk0NuJlJBk&Nu0g H@rB JkЀ[` BbNuJBj prtNuHPAJgPpr$< _Nup _NtNu&8*JEgJBgJjBEB:HC҅H@:|ۆ҄ۆ<HC>H@ЃdHA@B@H@хk HAҁHAрSB BbNuNpNNuCDEJEgJBgJjBEBQ*HE?<>0rHGGdHGGdSWDуdi\?<>0rHGGdHGGdSWDуdiN?<>0rHGGdHGGdSW2 H@N?<,>CEdGH@0r`?<`JBgVB&8TTDуdQRBNuDAр&AdRAрAрDуNuprt|=|   g +g -f .g20  b 0e 9b da`RF` .f 0e 9b dajSF` Eg efX +g -f 0e 9oSH`00  b&Hz0  b E Do`HJjDDDS4</NJFkSFk&aQN`Ha"FFaQL8Nު6. 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NuS@R@ 0 g 0,f9@lRll`R@ 0 fQj`Bll?<?<?<NM\NHQN&g ! ge l*g l*gpNNu<,*?Hj\F FfN`H FfN`RGFc8>`4A g6 g0 g` gTlfelhgFf2pRGRFa`a,` `?~ap ap a 0NuCpE`bf`FgRGJGgRSGSFFgCpE`Yf`Nua@Jf gH@ fa(@ fza0 b @ Ee0Nu?<?<NMXNur9A(HN"LNu0,^2,`NzEfpaRppaNAEg0PaľEfa4RE`p a2a*Efp a(NڼldeS@f lbfSl`9Ab9FdNupapqr`p`<(`|HP?N<pg2JFg W"X2@e2<A`QN CpR@ 1 fA 0! "_N, HHHNup`pNu)H9@Jp4NtP'J&f H LNu P&NuQ'` J,'fJ,&gHA#ȇeC! B,&LNu-W)K20, 8k8@ gJl&f"Nu , 8g"P 8 @/, 8N  8fQ 8J,'gNupB <``L@ H)l26)z @W , Jf`CfSHj-D@Hd0H@H 0H@0`fSC\fS , @a"C\fApNNN^HP?< NA\NuH@aa/a a Nu@0 9c^Nu| PC>$Error # ][Abort]\f.B &lX)K\)ld` lp ,BQjNup(NV)l g,vARC( g9CJ9|Lp!,Nt FPeNuHA JpBQA/)H )l gBlJpNtB Aprt0 0BBB R@ @efA000 0PB0 *00 000\0X0 *0000 0P0BX0, *@00p1| 1|QBX0 $HTH0P &0 *0,NupNSk [0NupNuHPaH8 _&X Pf/|~ K!zag @ ep 24C"2 S@ػ Td BTA3A0C4$I2a222B"0@2A\xvaRg<2#M 4B3BS@ -f ػ Td>BAAb8RGRC`3RSG5GC5C J1DcaRF F e`RG GcdNuXASF1F41R 1h4 x1EDgVA)H)H 9|J?<NNTU@g,ACg dRhdRh(gpL8Ntp>L8NAJ0?C bL000zH?A/.)HpNtLrHH/>Bl/,ff.f.ffNu l /.g&, ^`D&, N`>&, R`8&, V`2&, Z`,2,/4WAARA0,/6A hfRAS@f9A/,&, Jo ? CN0`@k Ap0(/.NuA Nup)@JphNtLtH &JKBCH .A/~0 1PP1P1PA L? &<@>AFG0000X0000X0000X0000C ~AJ0g0  pi, Nt"F QNu _b@gGHpp 0f NuGNp @"l`Yd&-KNN"l`YepN&#k"C-KN"Cփk փk2##`փk"`2`$Y8gHRDD*D%H8#$c2g# HRDD%H`/&#k gH`Nq-KNuHx pC~NXHx pC~NXHx pC탢~NXHx pC탨~NXHx pC탮~NXp3CNVp CNVpCNVNpCNVNREED.LYNC$N)|G >.C~NjHxHxN9 Investments have percents that need to be changed to the4C~NjHxHxN8 correct decimal equivalents. You also multiply the rateC~NjHxHxN9 of each investment amount by the decimal percent and the4C~NjHxHxN+ sum of the interests becomes the equation.nC~NjHxHxN= Percent problems involve interest, amount, margins, profits,4C~NjHxHxN7 discounts and increase/decrease. I=PRT is the interestC~NjHxHxN9 formula. A=I+P is the amount formula. Most other percent4C~NjHxHxN- problems can be solved by using proportions.cC~NjHx HxN< The KEY CONCEPT in work problems is to set up two fractionsC~NjHx HxN: that = 1 (THE WHOLE JOB) and the numerator of each of theC~NjHx HxN< fractions is the time together, and each denominator is theC~NjHx HxN time each would work alone.C~NjHx HxN9 Lever problems involve a FULCRUM ( balancing point ) andC~NjHx HxN+ the KEY CONCEPT involves using the formula C~NjHx HxN5 LENGTH #1 X WEIGHT #1 = LENGTH #2 X WEIGHT #2 4C~NjHx HxN1 where you substitute values and solve correctly. C~NjBN No problem so farCN.HxN NUMBER PROBLEMSCN.HxN AGE PROBLEMSCN.HxN GEOMETRY PROBLEMSCN.HxN MOTION PROBLEMSCN.HxN MIXTURE PROBLEMSCN.HxN COIN PROBLEMSCN.HxN INVESTMENT PROBLEMSCN.HxN PERCENT PROBLEMSCN.Hx N WORK PROBLEMSCN.Hx N LEVER PROBLEMSCN.BN Desk CN.HxN About ALGEBRA I 4CN.HxN-------------------CN.Hxp1NCN.Hxp2NCN.Hxp3NCN.Hxp4NCN.Hxp5NCN.Hxp6NCN.Hx A CN.Hx NFileCN.Hx N SELECT MENU CN.Hx N------------------CN.Hx N OPTIONS CN.HxN------------------CN.HxN SCORES - PrinterCN.HxN SCORES - ScreenCN.HxN DISK - InputCN.HxN DISK - OutputCN.HxN MAKE WorksheetCN.HxN SET - Time/DateCN.HxN CHANGE NameCN.HxN RESTART - TotallyCN.HxN------------------CN.HxN QUITCN.HxA CN.HxN NUMBER/AGECN.HxN ABOUT NUMBER/AGE 4CN.HxN EXAMPLE Number/Age CN.HxN WORK Number/Age CN.HxA CN.HxN GEO/MOTIONCN.Hx N ABOUT GEOMETRY/MOTION 4CN.Hx!N EXAMPLE Geometry/Motion CN.Hx"N WORK Geometry/Motion CN.Hx#A CN.Hx$N MIX/COIN rCN.Hx%N ABOUT MIXTURE/COIN CN.Hx&N EXAMPLE Mixture/Coin CN.Hx'N WORK Mixture/Coin CN.Hx(A CN.Hx)N INVST\PERCENTCCN.Hx*N ABOUT INVESTMENT/PERCENT CN.Hx+N EXAMPLE Investment/Percent CN.Hx,N WORK Investment/Percent CN.Hx-A CN.Hx.N WORK/LEVERCN.Hx/N ABOUT WK/LEV CN.Hx0N EXAMPLE Wk/Lev CN.Hx1N WORK Wk/Lev CN.Hx2A CN.Hx3A CN.A 0Bm BmA 0A 40A C0A$ 0A* 0?<NNTA0N.)|I of the two sides if the sum of the other two sides is HPA킦"_NHPp.N"_NC^NHxHxHmXA^"_NC~NjHxHxApNC탴~NVHxHxHxpC탴~NNC~Nj <NC킬NN XHPA킬"_NHPN + ("_NHPA킦"_NHPN - X)"_NHPA킬"_NHPN = "_NHPA킠"_NCdNHxHxN/First LET X = the either of the two sides and (HPA킦"_NHPN - X ) is the other"_NC~NjHxHxN$ Use the Pythagorean Theorem where aHPA킬"_NHPN + b"_NHPA킬"_NHPN = c"_NHPA킬"_NHPN substitutingg"_NHPA4"_NHPAd"_NC~NjN XHPA킬"_NHPN + P"_NHPA퀊N&<x*<NfN"_NHPN - "_NHPA킦"_NHPNX - "_NHPA킦"_NHPNX + X "_NHPA킬"_NHPN = "_NHPA킠"_NHPN and then combine like terms"_NCdNN which is 2XHPA킬"_NHPN - "_NHPA퀊NNN"_NHPNX + "_NHPA퀄NBHA퀊N&<x*<NfL8NXN"_NHPN. = 0 dividing each term by two and then factor"_NC킲NN X HPA킬"_NHPN - "_NHPA퀊NNvNN"_NHPNX + "_NHPA퀄NBHA퀊N&<x*<NfL8NXvNN"_NHPN = 0 becomes ( X - "_NHPAp"_NHPN)( X - "_NHPAL"_NHPN) = 0 (solve for each factor) "_NC킸NHxHxN= Correctly squaring the binomial gives this equation -HPA4"_NHPAd"_NHPA4"_NHPA킲"_NHPA4"_NHPA킸"_NC~NjNHx <r$<C탺NA^C킾NN A man can row his boat HPAp"_NHPN& mph in still water. How far can he go"_NHPA4"_NCXNN* and return in a river flowing HPAL"_NHPN mph in "_NHPA킾"_NHPN hours?."_NHPA4"_NC^NN? (Round your answer to the nearest tenth of a mile)iC킂NHxHxHmXA^"_NHPA킂"_NC~NjHxHxA PART + REST and then weCdNN" AMOUNT X HPA"_NHPN' - X multiply the two interests "_NCNN INTEREST HPA|"_NHPN% X"_NHPA킔"_NHPN#% and add them to equal $ "_NHPA"_NC킲NHxHxHmdA4"_NHPA"_NHPA4"_NHPA킲"_NC~NjN then clear parentheses HPANN&<x*<NްN"_NHPNX + 4"_NHPA~N&<x*<NްANN:N"_NHPN - "_NHPA~N&<x*<NްN"_NHPNX = "_NHPA"_NCdNN then combine like terms HPANN&<x*<NްHA~N&<x*<NްL8NTN"_NHPNX + "_NHPA~N&<x*<NްANN:N"_NHPN = "_NHPA"_NHPN and solve for X"_NCNHxHxHm4N Giving the equation "_NHPANN&<x*<NްN"_NHPNX + "_NHPA~N&<x*<NްN"_NHPN( "_NHPA"_NHPN - X ) = "_NHPA"_NHPA4"_NHPAd"_NHPA4"_NHPA"_NC~NjNA퀨NA퀜NN:A퀮NA퀮NNC@NA퀨NA퀜NN:A SELLING PRICE = WHOLESALE + PROFIT + OVERHEADCdNHxHxHmdA4"_NHPN$ So we get X = $"_NHPA"_NHPN + "_NHPALET X = distance from the fulcrum to the end of the board for HPAL"_NHPN lb."_NHPA4"_NHPAd"_NC~NjN HPAp"_NHPN lb. "_NHPA|"_NHPN - X "_NHPp^N"_NHPN X "_NHPAL"_NHPN lb. equation W1*D1 = W2*D2"_NCNN HPp-r%NF"_NHPN set it up with the"_NCdNHxHxND W1 D1 D2 W2 this is how you wouldHPA4"_NHPAd"_NHPA4"_NHPA"_NC~NjNI solve for X by combining like terms across the equal sign.wCdNHxHxHm4N The equation would be "_NHPAp"_NHPp(N"_NHPA|"_NHPN - X ) = "_NHPAL"_NHPN X - clear parentheses and "_NHPA4"_NHPAd"_NC~NjNpNlpNppNtANNAN/A0NANN:Nr"NA*NCNN8N0H AN. AN. AN.NRCNAN&<x*<NpJBgp/Hmp N"_NpJBgp$VHgpNxpN|pNAN/A0NANN:Nr"NAN&<x*<NXNr/A0NANN:HA0N&<x*<N:L8NTNr"NpNxpN|NA @0A* 0pNlpNppNtANNAN/A0NANN:Nr"NA*NCNN8NRCNHmp0N"_NpJBgp/Hmp1N"_NpJBgp/Hmp2N"_NpJBgp/Hmp3N"_NpJBgp/Hmp4N"_NpJBgp/Hmp5N"_NpJBgp$VHgHpNxpN|pNAN/A0NANN:A0NNXNr"NAN&<x*<NXNr/A0NANN:HA0N&<x*<N:L8NTNr"NpNxpN|NpNxpN|pNA0N&<x*<N:Nrr NA0N&<x*<N:Nr"<LNNpNxpN|pNA0N&<x*<N:NrrNA0N&<x*<N:Nr"<}NpNpNA0N&<x*<N:NrrNA0N&<x*<N:Nr"<NNpNxpN|pNA0N&<x*<N:NrrPNA0N&<x*<N:Nr"<!NNpNxpN|pNA0N&<x*<N:Nrr NA0N&<x*<N:Nr"<SNNpNxpN|pNA0N&<x*<N:NrrNA0N&<x*<N:Nr"<}NNNAJ\NpNxpN|pNprNA0N&<x*<N:Nr"<NpNxpN|pNA0N&<x*<N:NrrNA0NvNNr"<NA0N&<x*<N:NrrNA0N&<x*<N:Nr"<NA0N&<x*<N:NrrNA0N&<x*<N:Nr"<NpNxpN|pNA0N&<x*<N:NrrNA0N&<x*<N:Nr"<NA0N&<x*<N:NrrNA0N&<x*<N:Nr"<NA0N&<x*<N:NrrNA0N&<x*<N:Nr"<NA 40A C0pNlpNppNtpNA0N&<x*<N:NrrNN+We're now doing in9N8pNlpNppNtANNA0N&<x*<N:NrrxNANCNHPp"_NHPA6NCN"_NN8NNprNN 0.) For NO selectionNA 0A6NCNANFNpNANN.)A6N/ANC~NNNN`NqNqpNpNA0N&<x*<N:NrrNA0N&<x*<N:Nr"<NNANNjANN:N&<x*<NXHA N&<x*<NlL8N:ANN:&<x*<NXABNANNjANN:N&<x*<NXHA N&<x*<NlL8N:ANN:AN <r$<N&<x*<NXA`N <r$<N&<x*<NXAfN <r$<N&<x*<NXAxNA`NAfNNfNZNA`NAxNNpJBgp/AfNAxNNpJBgp$VHfNN A퀜NNC NA퀨NNCNA>NNC킂NNAN&<x*<NfN6 <r$<NADNAjNNDA 0AJN&<x*<NXAJNNADN&<x*<NfNA 0NA 0NA6N/APN/A6N/APNC탢~NHA6N/APNC탢~NHA6N/APNC탨~NL8NXL8Nު&< =8 yA sABr NHmBA "_NfN N EnteredCBNHmN14A큪N&<x*<NXA큪NA큼N&<x*<NXA큼NA큰N&<x*<NfN1Np rNAPN/pC~NNNA큪N&<x*<NfN1Np rNAPN/pC~NNNA큪N&<x*<NfN2NprNAPN/pC~NNNA큪N&<x*<NfN2PA,NN.N2AbN&<x*<NXAbNA6N/APN/A6N/APNC탨~N&<x*<NXC탨~NVANBmA,NpNlpNppNtANNA0N&<x*<N:NrrNN The answer ,HPA탐"_NHPN , is X = 4"_NHPA6N/APNC~N"_NN8pNlpNppNANNHxNJ Do you wish to have this|problem printed out to save|it for further studyHPN YES | NO sr"_ NAN.AN&<x*<NfN4>AHNANpNlpNppNtp NNHxN Click the box to continue | HPANCN"_NHPN>|MENU will return to the start|if you do NOT wish to continue."_NHPN NUMBER | AGE | MENU 4r"_ NA퀖N.A퀖N&<x*<NfN5LN5A퀖NzNXA6NAN&<x*<NfN5A( NN5AN&<x*<NfN5A*NN5AN&<x*<NfN5A,TNNHxN Click the box to continue | HPANCN"_NHPN>|MENU will return to the start|if you do NOT wish to continue."_NHPNGEOMETRY| MOTION | MENU r"_ NA퀖N.A퀖N&<x*<NfN6N7A퀖N&<x*<NXA6NAN&<x*<NfN72A( NN7AN&<x*<NfN7dA*NN7AN&<x*<NfN7A,TNNHxN Click the box to continue | HPANCN"_NHPN>|MENU will return to the start|if you do NOT wish to continue."_NHPNMIXTURE| COIN | MENU r"_ NA퀖N.A퀖N&<x*<NfN8zN9,A퀖N&<x*<NXA6NAN&<x*<NfN8A( NN9,AN&<x*<NfN9A*NN9,AN&<x*<NfN9,A,TNNHxN Click the box to continue | HPANCN"_NHPN>|MENU will return to the start|if you do NOT wish to continue."_NHPN INVEST |PERCENT| MENU r"_ NA퀖N.A퀖N&<x*<NfN:N:A퀖N&<x*<NXA6NAN&<x*<NfN:lA( NN:AN&<x*<NfN:A*NN:AN&<x*<NfN:A,TNNHxN Click the box to continue | HPANCN"_NHPN>|MENU will return to the start|if you do NOT wish to continue."_NHPN WORK | LEVER | MENU r"_ NA퀖N.A퀖N&<x*<NfN;N yA sABr NHmBA "_NfNT(N EnteredCBNHm"0(hF.  D`V"\Nf.8t*&.FB82xl ,>: ,,fLLL td 8 " "D " "D " "D " "D " ",, ` b f ~ 0(h < B0&t&*&4  &*Welcome to the use of ALGEBRA I - VERBAL PROBLEMS . There are three files on the disk. You must have all three in this SHAREWARE version. README - This is the file you are reading now. It only tells you what each file in the set does and is not needed to run the programs. But it handy to know what to do. ALG13A.PRG - This is the BOOT program for this disk. In the SHAREWARE version you must load this PRG file first, read the documentation if you want, print it out or print out an order form. Or you can just use the arrows to go to the MENU and select ALGEBRA I - V. PROBLEMS and press ENTER and the main program will run. ALG13B.PRG - This is the main program and if you have read or printed out the documentation then you know the power it has to let you configure it for your own uses. When you register your version (directions are in the BOOT program) you will receive an updated version, printed documentation, and the program will include all working functions. THANK YOU AND ENJOY!!! Educational Management Systems - P.O. Box 153 - Huntingtown, MD. 20639 The ALGEBRA I SERIES developed by Educational Management Systems under the guide of Charles O. Gauthier, Senior Programmer, is based on twenty years of teaching Algebra I by Mr. Gauthier from three different text series. The program on this disk has many features: * The user may store or retrieve the results of any work session to or from disk * The user may print worksheets with as many problems as wanted, and each would be different - there is also the option to select the help sections to be printed also to make them instuctruction worksheets * There are three levels of help available with each separate problem, and the help is geared toward helping the user to understand the specific skill for that particular problem * The entire operation of the program is within the user's control - allowing the work session to be as long short as the need be * The work and program changes use the GEM interface as much as possible - for ease of use * The user may go to the SELECT menu and make the problems more difficult, work more problems, select a higher range of digits etc. * From the OPTIONS section of the FILE, the user may change their name, the date, save a file, input a file, see the scores on screen or to the printer, or any of the other OPTION functions * Randomly generated number make each problem in each program different - and worksheets with many of the same type of problem will ALL be totally unique problems VERBAL PROBLEMS: There are 30 different types of verbal problems in 10 different areas of work that are found in all current ALGEBRA I texts used within curriculum. Each HELP section starts with a definition of what X should be, and leads the user into the relationships of that particular type of problem ( i,e.: age uses a chart, motion uses the distance formula with a chart, geometry uses the correct formula, etc.) and in the final step sets the equation up. It is assumed that the user knows the axioms and properties in LINEAR EQUATIONS before working VERBAL PROBLEMS. The types of problems covered are: NUMBER - These cover sums, differences, separate into three parts, consecutive integers and others. AGE - These cover the basic ideas of age relationships - one person being older than another and then in so many years, etc. GEOMETRY - These cover area, perimeter, right triangles, complementary angles and the Pythagorean Theorem. MOTION - These cover uniform motion in still water and people who meet when one of them leaves before the other. MIXTURE - These cover mixtures selling at different prices and percent solutions of water and alcohol. COIN - These cover 3 types of coin and value relationship. INVESTMENT - These cover interest earned on two investments and a total invested at two different rates. PERCENT - These cover the interest formula, selling price with profit and overhead figured in, and also percent of increase or decrease. WORK - These cover work by two people, work where one person starts before another and also covers the capacity of LEVER - These cover weights and distances where one distance in not known and another where the total length is known. Algebra I - Verbal Problems This version of Algebra I - Verbal Problems was written for the beginning student in algebra. There are some assumptions about the level of algebra that one needs to know before working this program. 1.) The student would have a working ability to translate from a verbal statement into the algebraic representation using LET X statements and then be able to set up and solve an equation. EXAMPLE:If a number is increased by twice itself the result is 12. LET X = a number LET 2X = twice a number X + 2X = 12 ________ _______ a number increased by twice result is 12 2.) The student would have a working knowledge of equation solving techniques and know the axioms of equation manipulation. EXAMPLE: Solve 5( X - 4) -3(3x + 6) + 42 = 8 clear parentheses 5X - 20 - 9X - 18 + 42 = 8 use the commutative property to combine 5X - 9X - 38 + 42 = 8 like terms -4X + 4 = 8 Use the additive inverse to combine -4 -4 like terms across the --------------- equal sign -4X = 4 divide by the --- --- coefficient of -4 -4 the variable X = -1 These titles will be available in a HOME VERSION and a SCHOOL SITE VERSION. The difference being that the SCHOOL SITE VERSION will be sold to a school and the school will have a license through the purchase to make duplicate copies for use within that single school, or use within a network off a hard disk drive. But more importantly there is a separate program for the teacher to enter classes, class lists and do managed instruction from any of the series titles for individual students the results of which will automatically be saved to disk. The teacher can then assess this information and make changes as appropriate. It is very important to understand that written into the programs are controls that allow the user to make changes in the parts that effect the numbers, their size, use of negative numbers etc. in order to make the program as customized as it can be for each user. Also OPTIONS are included that make it possible for the user to make use of the data generated from their use of this program, including generating worksheets of randomly generated problems, dumping to the printer problems that the user is not able to master for future study, saving to disk at any point a file with the results of the work up to that point, bringing in from disk any past file and many other OPTIONS. It is hoped that the purpose of this program: to help students understand word problems in ALGEBRA I will benefit those who spend the time working with it. Thank you for using ALGEBRA I - VERBAL PROBLEMS Charles O. Gauthier In Linear Equations there are 66 different types of linear equations ranging from simple equations to fractional equations. There are three levels of help for each problem and five levels. The levels are Level 1 - Simple Equations, Level 2 - Basic Properties, Level 3 - Combine Like Terms, Level 4 - Clear Parentheses and Level 5 - Fractional Equations. In Verbal Problems there are 30 different types of verbal problems in 10 different areas of work that are found in all current ALGEBRA I texts used within curriculum. Each HELP section starts with a definition of what X should be, and leads the user into the relationships of that particular type of problem ( i,e.: age uses a chart, motion uses the distance formula with a chart, geometry uses the correct formula, etc.) and in the final step sets the equation up. It is assumed that the user knows the axioms and properties in LINEAR EQUATIONS before working VERBAL PROBLEMS.