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N'i  ͭЅ?0ȱ Ѕ?iȱi lԠԠ͠ԠϠŠͮŠ SYSTEM.APPLE   L$JPHçV X܀DOhkSn3!6H-Vdž9 W, E QJ$nM*]l#i2e^+žb}rVC&֌\OOb[RtVgzw.esF:%k8$( 06޼s’HVN]Bǣ+ `f1ߛ%1x4~1[ =#OgIh"Uݨ2Ӯja%4'4:`m_3ƇyL?LRᅩPKldW,j*c|4oԂ;{SmD7 Z&ʟ|8>A|INTROSGNUMCTRLUIPLOTIGRAFSIMPMIDENTIFORMFAINTFTTRMISOLVSOLVEFRINTTESTPROG W;ó ҏX^XZpEv)5QALCM֠h&YR,2de{+¾?q D7;JM6T"KKK%=  %$|+x{K/Qu &ڳ+#KFǃ<>e!`^!}#!?Hǔ//7K?>bp4qu)=i[>kk뛃I7%(!+?\Gw DtO1+JJ3 _ }A;\>Oo%hctEg"zIsU(ӗٯ6@-쥁b#ڈAX[M2,%2e̸ 7GJ}~z[^- t:F Fw$0HM6E!#NRiǯڷP`mߧ%=xug B s"3U騾߮:mki3TLJKEa~3LOaZV.#t04<+.rB ^pT|: PðV !ܩh\n0] І9 EcQ *|]-iI/BupTGnZ捱{Sq=_rw&Nkp^(M.e @xFZ ^gd&fv)t5B*#isu ȍ;ΝGSnl)}r$k_X`wͽ ɮ_>!(j̴&{wF@̵xX sApCN 5ZfAe M/#Y,0$+˾qD97J6C/\xO ] tgz`w/NŁA =S0<6{HH P`f,lZ%zx~1z?p~X$D7AJ}C,ObDr[X硚z+nŹž^jѮH%0Y6d-ػN ǩqf )ߡ%x17a =I m."Uc6&:m3 lyR'/K ޲?d[AQc_5|U{YaJ &y >ćYP FJT `-͆2PE 'Q*]RlޏdWj͝~w|oW޵X#{Vǚ =-IXd8Ы>P+ V 'VnV!yhW9ʆ9  Q# *6]/#iL+ "?I>  N `  ` x V Nx .x- z `V0^*^*>` aI꽌ɪVɭ&Y&&Y& 꽌ɪ\8`&qcDs7J}59C)֯\Ob[UġWtgzHsI}[{Gk64ktudentdentf Acade;X}ot%!=UY-ib rqb AϹuuAy 0q di!CeExecute**vvʡ A1012 MasterR(TREES)mic AffairsuG67,SD,S45S SQ8;SFUa|%U{;*Sin 3SH$<SP~0ES@OSu~VU,]UX32bS(iS11FoSvU`=L}2 gn . F000002923:50ax[2]+bx+cnfusion. gn . F000002523:50a+xyi+bx+cnfusion. gn . $34 1 23456 :10xyi+bx+cnfusion. gn . $Remember, any part of an expression . #in parentheses is evaluated first. . F000002923550a(bx+c)aluated first. . F000002a variable letter gn . by a negative number, ble letter gn . we put parentheses r, ble letter gn . around the negative number etter gn . when needed to avoid confusion. gn . F000002923:51xy+xzid confusion. gn . F000002523:50axi+byd confusion.to separate the numbers. ation sign . F000002923050ax+yumbers. ation sign . F000002923050x+ayumbers. ation sign . F000002923050axy+bmbers. ation sign . F000002923050ax+by+czrs. ation sign . $64 1 33456 :10+by+czrs. ation sign . !When replacing mbers. ession . F000002923050x+y+ang numbers. ession . F000002923051x+y+zng numbers. ession . $54 1 23456 :10y+zng numbers. ession . "xy" means "x times y". ers. ession . When substituting numbers, s. ession . $we use "*" as a multiplication sign . 3456 <10b(c+d(e+f))of ther ise. 'In algebra, letters stand for numbers. % We evaluate an algebraic expression . by replacing the letters expression . by the corresponding numbers. ession . F000002923050x+ading numbers. ession . F000002923050x+yding nuer ise. the innermost parentheses of ther ise. is evaluated first. heses of ther ise. F000002D23050a(b-(c+d))es of ther ise. F000002523050d-((a+b)i+c) of ther ise. F000001513050(a-(b+c))ic) of ther ise. F000002923050a+b(c+d(e+f))of ther ise. $54 1 2b(c+d)iicate otherwise. F000002523330a+b(c+di)icate otherwise. F000002523330(a+b)i+cdjcate otherwise. F000001623330(a+b)(c+d)[2]e otherwise. $54 0 23456 800+b)(c+d)[2]e otherwise. "If parentheses occur inside other ise. parentheses, the contents of th'unless parentheses indicate otherwise. F000002523050abies indicate otherwise. F000001612090a+b\2iindicate otherwise. F000002523050abi+cjindicate otherwise. F000001612550a\2i\-b\2icate otherwise. $14 0 23456 8002i\-b\2icate otherwise. F000002523330a+cate otherwise. F000002612000(-a)\2indicate otherwise. F000002512000b-a\2iindicate otherwise. F000002512000(\a/2\-\2b\)\2iotherwise. $44 0 33456 800a/2\-\2b\)\2iotherwise. Powers are always computed iotherwise. before doing other operations herwise. 523330a+b(c+d)dicate otherwise. F000001923330a+b(c+d)+ecate otherwise. $44 0033456 800b(c+d)+ecate otherwise. We compute powers +d)+ecate otherwise. before negating or subtracting, rwise. 'unless parentheses indicate otherwise. F000002612000-a\2i indierwise. F000002923050ab+cd indicate otherwise. F000002923050a+bcd indicate otherwise. F000002923050a+bc+dindicate otherwise. $14 0 23456 800bc+dindicate otherwise. F000002923330a(b+cd)ndicate otherwise. F000001323330(a+bc)indicate otherwise. F000002b)ic)s evaluated first. F000001923050(a+b)(c+d)valuated first. $44 0 23456 800+b)(c+d)valuated first. Multiplication is always done d first. !before addition and subtraction, irst. 'unless parentheses indicate otherwise. F000002923050a+bcs indicate oth$35 0 33456 <001ƐyL?uRjؙKu"d^ Any portion of an expression in u"d^'parentheses is always evaluated first. F000002923050a(b+c)ys evaluated first. F000001523050(a+b)iys evaluated first. F000001923050a-(b+c)s evaluated first. F000002523050(a}232@ $3J58MC"<3RkC0mGG523550(a+x)i)aluated first. . F000002923550-xi+a(y+b)ated first. . F000002522550a+(bx)i+b)ated first. . $34 1 23456 810(bx)i+b)ated first. . $Remember, powers are computed first . &unless parentheses indicate otherwise. F000002524051ay[x] indicate otherwise. F000001524051xi+yj indicate otherwise. F000001523051a+b[x]+cxicate otherwise. F000002424051a[x]+cb[y]cate otherwise. $14 1 23456 :10x]+cb[y]cate otherwise. F000002923050(x+a)(x+b)cate otherwise. F000002523751a+b(x+y)[2]ate otherwise. ses.ı.CODE1α.TEXTGԱ[ڱ:mg&Please press [left-arrow] or [RETURN].eses.ı.CODE1α.TEXTGԱ[ڱ:mg)Just one number or variable here, please.s.ı.CODE1α.TEXTGԱ[ڱ:mg&Please type just a single number here.se.s.ı.COspaces.theses.ı.CODE1α.TEXTGԱ[ڱ:mg#No expression close is needed here..theses.ı.CODE1α.TEXTGԱ[ڱ:mgNo variables here, please.ded here..theses.ı.CODE1α.TEXTGԱ[ڱ:mg I can't use that character here.re..thelarge.needed.al point.d.ı.CODE1α.TEXTGԱ[ڱ:mg#This expression is too complicated.point.d.ı.CODE1α.TEXTGԱ[ڱ:mg+The preceding expression needs parentheses.ı.CODE1α.TEXTGԱ[ڱ:mg$Constants should not contain can have only one decimal point.d.ı.CODE1α.TEXTGԱ[ڱ:mg)A number cannot end with a decimal point.d.ı.CODE1α.TEXTGԱ[ڱ:mg A complete expression is needed.al point.d.ı.CODE1α.TEXTGԱ[ڱ:mgThis number is too )l}ԱڟddααEı.CODE1α.TEXTGԱ[ڱ:mg'Help requested. Please press [RETURN].αEı.CODE1α.TEXTGԱ[ڱ:mg+This expression is too long or complicated.ı.CODE1α.TEXTGԱ[ڱ:mg)A number 4\20\fruitflies\0\5\f*2[t]\time \population0\fruitflies\0\5\f*2[t]\time'The size of a fruitfly population after' t months, starting with f fruitflies, hes ]r its peak height of m meters eaches ]r "$23 1 h\2\20\cm\2\12\2e(e+2h)\edge ]r \area h\2\20\cm\2\12\2e(e+2h)\edge ]r The area in sq. cm. of a box \edge ]r !with a square base of edge e cm. e ]r and height h cm. e of edge e cm. e ]r '$22 1 fn miles) traveled rtn by a car in time t hours raveled rtn 'at an average rate of r miles per hour %$23 1 m\1000\5000\meters\0\10\m-5t[2]r \time\height\5000\meters\0\10\m-5t[2]r $The height (in meters) of a missile ]r #at time t seconds after it reac which began with p fruitflies. tion #Find the population after \ weeks, n if we began with [ fruitflies. ks, n D00000382200/P2[W] fruitflies. ks, n #$23 1 r\30\80\miles per hour\0\5\rtn \time\distancemiles per hour\0\5\rtn !The distance (i is the height. & Find the volume of a box of height [ with a square base of length \. ght [ F00000:D2200/S[2]H of length \. ght [ $61 011111105102]H of length \. ght [ After w weeks, the formula h \. ght [ %is the size of a fruitfly population els in [ seconds ny feet t is . $at a velocity of \ feet per second. . F00000:Z2200/VTf \ feet per second. . $61 01111110510f \ feet per second. . The volume of a box is per second. . where s is the length of er second. . 'the (square) base and hht is . [ and the width is \.f the height is . F00000az2200/2W+2H \.f the height is . $61 01111110510+2H \.f the height is . In t seconds a car travels height is . feet at a velocity of v feet ight is . per second. Find how many feet t is . it travx+b(x+c))t. heses wise. F000002523551(a-(x+y))i)t. heses wise. F000002523551a-(x+(y+a)i). heses wise. $51 02111110510(x+(y+a)i). heses wise. The perimeter of a rectangle is wise. 'if w is the width and h is the height. % Find the perimeter if the heigF000002523051ax[2]+bxy+cy[2]otherwise. F000002523751(a+x)i-(b+y)[2]otherwise. $34 1 23456 :10+x)i-(b+y)[2]otherwise. !The innermost set of parentheses wise. is always evaluated first. heses wise. F000002923550a(x-(y-b))st. heses wise. F000002523550x(DE1α.TEXTGԱ[ڱ:mg!No negative numbers here, please.here.se.s.ı.CODE1α.TEXTGԱ[ڱ:mg$We multiply here (no mixed numbers).e.se.s.ı.CODE1α.TEXTGԱ[ڱ:mg&Press [RETURN] to end your expression.se.s.ı.CODE1α.TEXTGԱ[ڱ:mgA right parenthesis is needed.ression.se.s.ı.CODE1α.TEXTGԱ[ڱ:mg'Use [CTRL] D to start your denominator.e.s.ı.CODE1α.TEXTGԱ[ڱ:mg Use [CTRL] # to complete your $.inator.e.s.ı.CODE1α.TEXTGԱ[es the negative of the expression.ariables.gKWrite each term with coefficient first and variables in alphabetical order.es.g?Combine signs if possible, and move signs to standard position.tical order.es.g Multiply.igns if possible, and move signs to by 1 gives the original expression.of the variables.gEMultiplying an expression by -1 gives the negative of the expression.ariables.gOmit zero term(s).ression by -1 gives the negative of the expression.ariables.gCompute power(s)..ression by -1 givto the power 0 is equal to 1.y.g these values of the variables.g;The first power of any expression is the expression itself.s of the variables.g'Any expression multiplied by 0 gives 0.e expression itself.s of the variables.g=Multiplying an expressionrm standard polynomial simplifications.y.g these values of the variables.g$Rewrite expression in standard form.cations.y.g these values of the variables.gSimplify term(s).n in standard form.cations.y.g these values of the variables.g,Any expression .g,Type only letters from the given expression.y.g these values of the variables.g Start with the given expression. expression.y.g these values of the variables.gThis problem is finished.ession. expression.y.g these values of the variables.g,Perfo variables.g%These expressions are not equivalent.parately.g these values of the variables.gThat seems correct so far.equivalent.parately.g these values of the variables.g#This expression is too complicated.t.parately.g these values of the variablesues of the variables.g$Your simplification seems incorrect.eparately.g these values of the variables.g!This equation is too complicated.ct.eparately.g these values of the variables.g$ is not used in this problem.ed.ct.eparately.g these values of the these values of the variables.gAn equation needs an "=" sign.. and #.TURN].ing these values of the variables.g%Replace @ by your numerical solution..TURN].ing these values of the variables.g.Simplify each side of the equation separately.g these valETURN].ing these values of the variables.g$, then the value of this expression RETURN].ing these values of the variables.g&Please type a number between -# and #.TURN].ing these values of the variables.gAll right, that's close enough. and #.TURN].ing its points.st.using these values of the variables.gHere is how xy is plotted.n its points.st.using these values of the variables.g We cannot plot xy on the screen.points.st.using these values of the variables.g,Find xy using arrows^v. Then press [Ris the same as the first.using these values of the variables.g"These expressions seem equivalent.e first.using these values of the variables.g'These expressions are not always equal.st.using these values of the variables.g'To draw the xygraph we join a value for each variable. above using these values of the variables.g)Now you choose a value for each variable. using these values of the variables.gNHere is the value of the above expression using these values of the variables.g*The second graph g*When the cursor returns, please try again.ey..CODE1α.TEXTGԱ[ڱ:mgNEvaluate the expression in the box above using these values of the variables.gHere is the correct value. the box above using these values of the variables.g"Here isڱ:mgPress [#-arrow] to $.ete your $.inator.e.s.ı.CODE1α.TEXTGԱ[ڱ:mgPress the "#" key. $.ete your $.inator.e.s.ı.CODE1α.TEXTGԱ[ڱ:mg-Hold down [CTRL] while you press the "#" key..CODE1α.TEXTGԱ[ڱ:mstandard position.tical order.es.gIAn expression times itself is written as a "square" using the exponent 2.r.es.g?Powers of the same base are multiplied by adding the exponents.xponent 2.r.es.gAdd or subtract.me base are multiplied by adding the exponents.xponent 2.r.es.g@Combine similar terms (terms having exactly the same variables).ponent 2.r.es.gFRearrange terms so that those with the higher powers of ^ occur first. 2.r.es.gRemove common factors.t those with the higher powers of ^ occur for @:for @ in the original equation.. -1).@.on.g:Here is the approximate value of @ where the graphs cross.equation.. -1).@.on.g6The graphs are identical, so there are many solutions.oss.equation.. -1).@.on.g3The graphs are parallel, so there are no ys true, so @ can be any number.as no solution. -1).@.on.gC check by substituting the solution for @ in the original equation.. -1).@.on.g$ solve the following equation for @:for @ in the original equation.. -1).@.on.gWe graph each side of quation fsign of each side of the equation (multiply both sides by -1).@.on.g5Multiply both sides by the denominator(s) and cancel.y both sides by -1).@.on.gDThis equation is not true, so the original equation has no solution. -1).@.on.g5This equation is alwaranspose a term to separate terms containing @ from terms without @.tself.on.gKSubtract a term on each side to separate terms with @ from terms without @.on.gFAdd a term on each side to separate terms with @ from terms without @.ut @.on.gIChange the .ion.g>Divide fractions by inverting the denominator and multiplying.ancellation.ion.gEDivide both sides by the multiplier of @ to prepare for cancellation.tion.ion.gKDivide both sides by the multiplier of @, and cancel to obtain @ by itself.on.gETmultiplication.g)Rearrange terms to prepare for factoring.r parentheses to show multiplication.gJFactor and simplify numerator and denominator to prepare for cancellation.ion.g>Multiply fractions by multiplying numerators and denominators.ancellationor and denominator.tor...gPerform the division.tor by changing signs of numerator and denominator.tor...gReplace variables by numbers.hanging signs of numerator and denominator.tor...gNReplace variables by numbers, with dots or parentheses to show h the terms of another polynomial..gICancel monomial factors common to both the numerator and the denominator.ial..gLCancel a polynomial factor common to both the numerator and the denominator...gHSimplify the denominator by changing signs of numerataising each factor to that power.).st terms..g8Compute a power of a power by multiplying the exponents.hat power.).st terms..gMRewrite a polynomial so that its terms match the terms of another polynomial..g#Remove parenthesized common factor.rms matces be factored in the form (a+b)(c+d). and last terms..g/Remove common factors from two terms at a time.rm (a+b)(c+d). and last terms..gDFour terms can sometimes be factored using ac+bc+ad+bd = (a+b)(c+d).st terms..gBCompute a power of a product by rtors so that monomials precede polynomials.her parentheses..r.es.gCThe difference of the squares of a and b is factored as (a-b)(a+b).eses..r.es.gMRewrite the middle term by factoring the product of the first and last terms..g=Three terms can sometimtiply monomials by multiplying coefficients and combining variables.2.r.es.g:Multiply each term in the parentheses by the term outside.ng variables.2.r.es.gHMultiply each term in parentheses by each term in the other parentheses..r.es.g8Rearrange faces.gSubtract by changing signs.n by removing parentheses.on factor. first. 2.r.es.g&Add a negative quantity by subracting.ng parentheses.on factor. first. 2.r.es.gRemove unneeded parentheses.ubracting.ng parentheses.on factor. first. 2.r.es.gGMulirst. 2.r.es.g?Make the first term positive by removing -1 as a common factor. first. 2.r.es.g(Rewrite the power as a repeated product. -1 as a common factor. first. 2.r.es.g5Add parenthesized expression by removing parentheses.on factor. first. 2.r.solutions.ns.oss.equation.. -1).@.on.g%So the solution is approximately @ = no solutions.ns.oss.equation.. -1).@.on.g'These lines meet somewhere off screen, o solutions.ns.oss.equation.. -1).@.on.g3so the solution of this equation is off the screen.ns.oss.equation.. -1).@.on.g3 to have the same solution as the earlier equation.ns.oss.equation.. -1).@.on.g&Now let's resume solving our equation.ier equation.ns.oss.equation.. -1).@.on.g/ The solution checks in the original equation.ion.ns.oss.equnP6 V >DPژZ   O ?"¨n6 r P  ^  All rights reserved.No part of this program may be!reproducemultiplication by right of the "base" g subtracted, umbers..g&However, it does not mean the same as ght of the "base" g subtracted, umbers..grall result is that we moved by each number being subtracted, umbers..g8(However, you may see a shorter way to do this problem.)g subtracted, umbers..g8, which is written above and to the right of the "base" g subtracted, umbers..g#, means repeated gIn this problem, we change bers.sign of each number being subtracted, umbers..gLet's start from 0. change bers.sign of each number being subtracted, umbers..gSince we started at 0, nge bers.sign of each number being subtracted, umbers..g'the ovenumbers..g*so the answer is 0, and no sign is needed. longer" number.hs" of the numbers..gFWe can subtract by changing the sign of each number being subtracted, umbers..g and then adding the new numbers.sign of each number being subtracted, umbers..s" of the numbers..g:The sign of the answer is the sign of the "longer" number.hs" of the numbers..g&In this problem, the longer number is the "longer" number.hs" of the numbers..g+In this problem, both are the same length, longer" number.hs" of the n expression is undefined.)n.g:Adding or subtracting 0 leaves the other number unchanged.ion is undefined.)n.gHTo add numbers with the same signs, we add the "lengths" of the numbers.ed.)n.gMTo add numbers with opposite signs, we subtract the "length signs are elect one correct answer.on.g+(0 divided by any number except 0 gives 0.)ns are elect one correct answer.on.gL(Remember to hold down [CTRL] and type "U" when an expression is undefined.)n.g)We add zero by moving a distance of zero." when always 0.tion.is 1.d.)ength zero.ult is zero.@.on.gKSince 0 times any number is 0, we have no way to select one correct answer.on.g$(Division by 0 is always undefined.)ve no way to select one correct answer.on.g2(In general, dividing two numbers whoseis 1, only 1 factor is needed.)ength zero.ult is zero.@.on.g/Any non-zero number raised to the 0 power is 1.d.)ength zero.ult is zero.@.on.g*Division is the reverse of multiplication.is 1.d.)ength zero.ult is zero.@.on.g%since 0 times any number is a for the number zero.o draw an arrow of length zero.ult is zero.@.on.gTherefore, its length is about draw an arrow of length zero.ult is zero.@.on.g*An exponent means repeated multiplication.row of length zero.ult is zero.@.on.g2(When the exponent &have no operation symbol between them. (*).cause the two numbers .). -1).@.on.gIHowever, this addition is repeated zero times, and so the result is zero.@.on.g=A dot or a small "x" is used to draw an arrow of length zero.ult is zero.@.on.gIt stands).@.on.gC(In general, any multiplication using 0 always gives the answer 0.). -1).@.on.gAThis expression requires multiplication, because the two numbers .). -1).@.on.g+are separated by a multiplication sign (*).cause the two numbers .). -1).@.on.gation.. -1).@.on.g3Replace @ by the numerical solution obtained above.ns.oss.equation.. -1).@.on.g)These equations have different solutions.ned above.ns.oss.equation.. -1).@.on.g%Sorry, not enough room on the screen.ons.ned above.ns.oss.equation.. -1d, stored in a retrieval"system except as an essential step'in its execution, or transcribed in anyBrooks/Cole Publishing Co. 555 AbregoMonterey, CA, 93940, Student diskLicensed for use only at%Please respect the license agreement. Published by Br    DPASCALSYUSERPROGFIOPRIMSPRINTERRINITIALIGETCMD SYSIO ⓡ4"צˡ䓡 &ˡ& öÍ##&á &'"&㓶℡'á.0:'#.+á$š ġ  ^ $?š?ˡ?ء "ˡ%ߕނ߂ɡ F b%ARAn@vvXX < ~LJ> P b p 2 F 'ˡ   d쓡  !!  # 0"ˡ4$ š F#,á1š ġ  # #6"'á *   šˡ 퓄 Ä퓡x š   ɍM   "ˡ. š K%"á61 ɚ V %ɡšɡš  V#&ˡ @šQȡ2 š:X f Ą ɡ 낫š ꓡ!š땫Ě@%"á1ꓡ삫Ú ȡ*ńȄ4šáRתPńȄ ,ń.áš蕿   Q lȡPš蕫š 쾿  /P ná " * 0ˡ ɡa áá0š  %4á1á$009ȄX 000á'$á 009Ȅ00 qS\  ɡ'áצ-32768 ^ 逫-ġ>00ń  0& "ˡ  J   00áQP 0á0 é000+-Í- šš që  N "ˡ )á á áaˡ á Nšá áÄ& ܟˡ,  צSYSTEM FAILURE NUMBER  צ. PLEASE REFER "TO PRODUCT MANUAL FOR EXPLANATION.  DFCOPYRIGHT 1979,1980,1983-1985 APPLE COMPUTER, INC. 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Ɓ Ɓ X  ߪPƁ]Ɓ4 PƁ4ƁaƁeƁmƁn ́oƁآڤ áCá>آآ*Ík vޢ ȡUڤ ˡBȄ-ܢ0ۤ ݢ`ڤá \zڨ !!P!x!P &(.Bۢڤ ɡš2ȡۤˡ áڢڢˍ? Pˡۢ؂Xڢڢڢڣ ڣ ١ڢ ڣ ڣ١ ڢڣڣ ڣ áڣڣġ ڢڣڣ hڢ ڢ١ڢ!ڣڣ ڢ!ڣڣ ڢÄڣ &ڢ ڣ ڢ! ڢ!ڣڣ ڢڢ ڣڢÄڢ   šá٢.ٕ۶š ڸ۸۶ š۸ ڸ:   ȡQ  ȡ   ȡ? ȡ  ġ  á>áDisk is write-protected.צ System error. o!X O:%%,}  t 쥁f!ڢ!ؓ!ޢ Äޢɷޢ÷s%.......ת ۢ" INTROׯÄ0ܣ%'&`'l_ 6yG ݣשnn Dnn$T: -š2%&p| 5n7\n:\)CF~nc;8[- a/Gno4XnX;nE,3E- t\ݰ}#bk4ݤ_ á&ݤ4_q˦aiGlXcuT4#uld prophesy, but that the weary and cold hand of death lies on my tongue. Q'`USYSTART                                         tionof the course.áY&However, this demonstration version isצ'much shorter than the complete version.ehYour next lesson will be*Then you'll return to*!˥fDinstruction and(#practice probleer to the Algebra Mentor١Instructor Manual orצStudent Workbook for Rl(-٨تP.//P00ġ lesson/e0ڕ.ZD* #CONGRATULATIONS. You have completedall the lessons in this porration צ student diskġ ئf .(צin driveצ and close the door.&تPR צ'צThis disk is assigned to  8צ#04:P 0 0&'تP Ref&$ء צESC$!á  "%Versiond.d  * צ & š"STUDENT DISK #ئ NEEDED.Please insert ɡ any צAlgebra Mentorá!š non-צ demonst @ ""F#ڨ&_# #" 0!  ,٪PتP&,Press [] to continue.>$تPRETURN$+! T* _ޢV }ޢJޢVJ獥o<!צ......צ šGá@ צ"Please remove the write-protectionfrom the disk.T š"STUDENT DISK #ڦ NEEDED.Please insert ɡ any צAlgebra Mentorء š non-צ demonstration צ student diskġ ڦb .@צin drive.צ'Be sure to close the door of the drive.  צINTRO"ō ssons.צYou will begin with lesson."During a lesson, when the flashingצ!cursor is visible, you can changeצ%to a different lesson by holding downצ%the [CTRL] key and typing "Z" and "/"צin rapid succession.$4쥁b ȄÍ P2lۢPȍFڣ2ˡ2ٚܢá%ܢܢ ܢܢܢ f1lȡ٢Uؤ٢U٣c٢c-B3ˡSצ'You are scheduled to skip some leu select a different lesson.lesson titles.(צ For lesson, just press [RETURN].LESSON ( toצ) ? "  10ġɡ ݂0š  áښݓa fƁƁ"šʁʁōʁʁP܍ʁÍʁʁ ŴʁʁȄʁʁƁ!.ܓf - צYou'll now do lesson number,צ%unless yovious record of thisstudent (Y or N) ?"ڳ@@NnÍ- 0ۡ l/ܶ ލ0ݍݡ,ۡ lצX, ad kݓlcz..ĺʁṔF)adɩl"ák!* 2,lڢP ZY٢٢٢š٢ ٢Ŷō< v/lۢׯThis disk belonged toۢ'May I erase the prectice problems on this material.ǰ b'SYSTEM.STARTUP.תPa'צPlease return your disksצto your instructor or tutor.  To run another program,insert the appropriate disk.pV in this portionof the course.áY&However, this demonstration version isצ'much shorter than the complete version.adYour next lesson will be*Then you'll return to*!˥bDinstruction and(#pra'تP Refer to the Algebra Mentor١Instructor Manual orצStudent Workbook for Rl(-٨تP.//P00ġ lesson/e0ڕ.ZD* #CONGRATULATIONS. You have completedall the lessons&$ء צESC%"á  "&צVersiond.d  * تPR צ'צThis disk is assigned to  8צ#04:P 0 0&ˡ8 @ ##F$ڨ&_$ $# 0"  ,٪PتP&,Press [] to continue.>%تPRETURN%+" T* 0/Pۡ k!!;תPZٹPlease Then  #צ!hold down the [CONTROL] or [CTRL]צ$key while you press the [RESET] key.ء لء  /!ؓء%8!n ` ۡk o  ol..//P0.6Vz.@~CODE.CODEACKE.CODE1.TEXTG[:mƳgEʷ  تP,,PT  @ \ ܡ@ ܡڡ݂P تPǜE  RD  <  'R -J25 CHAINSTUSHORTGRASHORTGRAGRAFA GRAFA GRAFC CONIO SHOBL STRAP EXMAK ALGIO EVALU AXDRW LINXT TABGR )m!J,VfrpP z , n Z`$<F.&V.|&r8Xl0 X8v;adsworth, Inc.ת(צBelmont, California 94002.(צa division of Wadsworth, Inc.(%Pascal Runtime System (C) 1979, 1980,ת(צ%1983 and 1985 by Apple Computer, Inc.("Portions of this software (C) 1979ת(yצby University of California.(dTelephone: 4O8-373-O728ת(  ;+ b by any means -- electronicת(6#mechanical, photocopying, recordingת(!צ!or otherwise -- without the prior( $written permission of the publisher,ת((C) 1986 by Wadsworth, Inc.ת(צBelmont, California 94002.(צa division of Wadsworth8a ;'쥁b ;;;bتPRتPR צ .۪P٪P. ء&m K"form or[RETURN]End your answer9[SHIFT] צType an upper symbol9 [left-arrow]צErase a character9,ġ [CTRL] UצType "Undefined"9;ġ:Ǖġ;&צOne moment, please. $|8š;SOLVEׯ;SIMPMׯ넡5ń6DצStart DENOMINATOR9צ[CTRL] BEnd denom. 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"٪  š    Fڡ$ ߢߢ 2ت     ?ُ؏:     ݢلݢöڕnݢaġ צcorrespond to =)Pצhave =)P=)צPoints on this line ڡڂڡڕ$. ȡ *   áߢߢ ߢߢ  XتPP.P2R0ö   /٪PتPۡ/ái/theצeach /צanotherצmore /valueצvalues /צthisthese /variableצ variables /צxy ܝ  !/ (";"=up,~"/"=down)צ^v /צ^v YXYX/YX  ەɡڂǖ ܢܢۏȄ2 &  . 8-٪PتPVVšV-PVVá, > NTEGER);  PROCEDURE TABGRAF(SL:STEPLIST;IDCHK,GRAF,HELPLOT,DV1HLP,USENDPTS:BOOLEAN; "UMAX,AX1,AX2,XCOL,RFRQ,UFRQ,BEGROW,UDVROW,UIVROW,UPLROW,ENDROW, "UDVCOL,ENDVCOL:BYTE;VAR MIDFR,CERR,PERR:INTEGER;UCAL:CSET);  IMPLEMENTATION L E gEʷ  USES {$U *A.LIB}SHORTGRA,GRAFA,STRAP,SHOBL,GRAFC,CONIO,EVALU,AXDRW;  TYPE CSET=SET OF DVCOL;  FUNCTION ONSCREEN(RW,NV1,NV2:BYTE):BOOLEAN; PROCEDURE CONBAR(RW,NV1,NV2,N,CT:BYTE);  PROCEDURE PLOT(RW,NV1,NV2,FCT,ERX:BYTE;UP,HP,PX,PY,C2:BOOLEAN;VAR ERR:I  _  áB @ t<d ;⢁e;⢁d ⢁b   !   ˄?á  ˡߑ Bá.ˡ      dڨáReviewBeginn  ˍ  ! ب     U⣁c ⢁c⣁cP١⢁e;⢁e;⢁d ⢁b   !   ˄?á٢ȡ0٢Q٢ȡVQ٢٢ۢ٢٢٢ȡ٢٢$  `1ȡȡ ٮ82'FI ضPZ ȡ\̀ʀȡ/)צis given by the formulaBצ ~~~~~ = B pz(צ;This graph shows the relationship we have computed between  and .ʀȡAؾ#)̀ʀȡ/)ڪP![]{/} ̀ʀʀӢ    ھ0٪P\--\ˡ--.-.P-- D ڢ (ٲ" ڪP̀ʀȡIGRAF SEGPROC ەצ  K  .&H4f6< B J <  dtP:jJfT P(  (second תá צٝá צfirst צ  (ٝɡ$צ ٝá ' ޢ  #   ##ݶȶۍ$'    $ ȡ}٤@{Η@{Ηضض,  (second תá צٝá Jf,(%  č ɕצLet's try more values: dȡ) ɡ 2%'7  ȡ4 ɡ 5&5צ , and x=#P    & `aaQ`` is~#.&^צ dٝdړۂ؝ٶĶŶ,,# 6& ^__ȡٶ^ٶ čٶ   Äړٶ Äڡ ٝ ۡ5צIf x=#P߸a  ``ȡK aš5ŏ,"R!ءڶ צPlease evaluate: ء1ݓ.1 1# 1dݡء!ڤ ض   #تPƏݢK ڤ   ܸV6צ 2,"@{Η"L  Q٢٢ Q٢٢   (ݢݢاݢa۶ azȡ/ašٿ آɄآÄń  يR  ٦! between # and $תP!# $ צPlease choose a value for  #).٦ ~~~~~! = תP!٦    ++ȡ+ ,, With this value, תPšWith these values, תPš  . ء      ܢˡEUsing two axes, each point on the screen has a pair of "co-ordinates"צ6, such as (2,3), showing its location along each axis.    f&As you have no up and down arrow keys,צ)use the ";" key for up, and "/" for down.,ڢˡ,           ?ڢɡ+  ?       y ڢˡx @ @ @ڢˡ -To plot a point, use the left and right arrow+keys to move the flashing dot to the point.ڢˡm .Plotting may occur on either side of the axis.d 2 ؓÍ4h+ˡa*Values of # are plotted along this #-axis.תPצ#š#ؿ ++<T ٓ ؓ0&ء&  Ä ǿ     ؓ<xٓdxy  IPLOT )Z>צP R ٫ث",!,6Q   b l   $* I   f=pvT: P.1.1ġ .á..0/ ..)Z>צP R ٫ث",!,6Q   ͹rBQ ;@**-*-***-****-+*+****-**-*******-*******+++,*,-*----------***+*-zšthe formula is>۪P.1.1ġ .á..0/ .. f Q ~~~~~~~~~~BQ  nx ع *0Hfl HjB  #).٦ ~~~~~! = תܢɡܢɡ  Nܢɡ     Pd Ï8f Py=ײfPzf Let's graph the equation Q (f@**-*-***-*ݓEn á ۢ ۢښؚۢ8ٟˡ= # á ڢ J ٶ/Ä١  ١áz% ˡ(+ܢ -ܢ ޢޢ ݡ!:*Úۚ.á:&ߢ!  ߢ!ߢ & τٚښ @áء ߢ ߢ Cš ašaaań*áخ% %٤ ٤ܢ  ܢ , ܢ ܢ <#*á .á ##6 @á ۢ @{Η($ )$@{Η  $L.á *á 4š$ڡ 4 Vښ,ڕ+ɡڕ ,  ؟ˡ á$ @áܢ @܂ ߝۂ  !ؕ!3؂؂ R"ˡ!"" :ܢܢ"ɡڑۍ ڟˡڨٚ,ō zݤaڤaܤaۤaߓaɍ? 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Y gcax+bPצax+b =ax+b *צaxi+bac][J9(ń  -Numbers are plotted on a number line or axis.>ڼ ڼ (ۢɡۢړ ۢɍړ L  ٫ث",   =?produces a graph when we plot a value of Y for each value of X.תP=צY=f=Xײ=7  =  P3 7f8߂ ߂<  7  Dצ***-+*+****-**-*******-*******+++,*,-*----------**+++-  ȡ3ܢ73  98999؆؏Y h<צThus, the equation  Q T(؟ˡ''á((*''ۡ//00ȡi/۾11@ɡ"1ڤ1(š1ڤ%1_ȡ1/*1@1@ڤܚܚu^ @٢٢&)ۢ ۢ))(dٹELC:á*á  ڢڢMF?8|+ٟˡ *áخ**-Íٮ**@ȡۤ%  ńNޤݤ ܡޤ ؓؓHB& بš aޤaš  dڲ ؟ˡW.áF٢2ȡ   d ˡ"ء áݢ ݢ  /c ((2ߡ(  ** +- ߄ ڟˡV١ۢۢءۢۢ /áخخġ. .     /   ؗٲزخ& 'ڮÍܢܢڗ' T؟ˡ  *  ˡ ˡ @aޓޓ  3ۓ Õ4ۓšܕܕ(*5ܓ ٨ۡڢ% 6ڕÄ ۢݤڡÄpܢޤ Ä݂2D 3š6Ä%ڡۢݤ5ۢݤ4  6ۣ!Ʉٓۢ! !!á)) >bB ` 4 (:F`T|f Z J  4Ld$Dl6Íޓޓ  3ۓ Õ4ۓšܕܕ(*5ܓ ٨ۡڢ% 6ڕÄ ۢݤڡÄpܢޤ Ä݂2D 3š6$ $ $ Ä*!!ݓٓ!!*ˡ'> ~2 áݤ ܤ ܤ ޡ8Ä ܤ áߡ ߯Í  1 azȡ/aaš aaaÄ8& ݤߢ ؝ܤ ۤ á ߢ ߢ az ȡ%aڝܤaٝۤa, | ۤڤqתP@0qqݤrrrš q!/rq!rrġCqܤsstsš(s0ás.ss.*,Q ۀڀˡ ێ (1ڤۤɡ /az ȡ1ašءڏ,ފ.ؓڊ.*,9 \ġ9ڤ -+á,ە,ɡ,J b0ڨ٨תP@/0" +:*+!*/ a*+)*۟* צ Pٿ,ۣ),ۢ*ۣ)@ۢ)ۣ)*- -.,.-ɡ,؊. /ۤ+y+i@؟ߡ -Íߡޡ+ޡ آ +++ ++á + +s+'+ߗzšá   ˍ#ɡ#*#*#*aݤ#*aɡ.ݤݤáákeD؟ˡ  ˡ=ٟˡ0      ߕń   ߕńńˡ$*ˡ -Í ( ؟ˡ\*á+ڢظٸ*ˡ ق! ٕá łáܶ " ڡٶܓܮڄH!azȡ/aaa; r# # ö@á !ł   Zš+ȡݤޢڕ l ! ߄ܮfڡܶߓ߮ڄNP@-ٕnnánnn*Tآ,(آ*"ġ٢ؤ٢٢ڢڲ< T ڶ ɄٮDᕤ   ߤ  ۝ * ب-ء 4ڕ "nnán׀ġ (ۨݕáXݤ ' ,za a aɍ,H rݨߕá   ÍŚ2 ᕤᕤᕤV š ۍ ءڡ.١!! ⊐١há= ݢ*  ȡ ڶɡ.á. <ܤۤɡ .á#$$$$$$%%%%HڢJ *á؟&؟á ؚ؟ˡ  ݢńݢq+-خ c F >á&ޢá +-ݢܚۢڤ   ȡ ȡ" Ʉ  ߤ  ȡڂڤٚٚD ۟áڟ5ڟá+ Ä@ۢ" ۢ ڢ܍*ˍܱ>ܟˡخߢÍvܮ ÍޡYޡK @ @  áظޓخ } ؟ˡ  Í*Ä*Äc @ بڢٚÄۢ  Í$ .á    jٟˡ`ڟˡ,   tآ*ٚġ ˄    ń  áآ)ݚ h|>`j~(   ߕń   ߕńńˡ$*ˡ -Í ( ؟ˡ\*á+ڢظٸ*ˡ  jٟˡ`ڟˡ,   tآ*ٚġ ˄    ń  áآ)ݚ" ö@Ŷ Ä$ خ خܟخ  ۢš~  ܤ   Ʉ -ܤ ö Ʉ Ʉ+@ š 7b  ٢Ä ˡ F@$%ŶÄÄń.&azȡał%ŶÄݹqrut٫vثw", ܢܢ (ڪ'!.ڶġ ڶ0&dȡ؂š dؗd p*Du qvw Df!ݢjݢjܣ)Äܢ)V8  j㾝  jōÄjP*)+ލ&  )á  i zۨ & H*\. 8ھ{Â}Õá!, ġAؾ{á1-á )( Pe^ pE@9999999999999909090999099999999999999999995393629999999999991119ר @צ Df!ݢjݢjܣ)Äܢ)V8  j㾝  jōÄjP*)+ލ& )á  i zۨ & H*\ 8ھ{Â}Õá!, ġAؾ{á1-á )( Pe^ pE@9999999999999909090999099999999999999999995393629999999999991119ר @צE@.ÄܳD(لܳ,@@{((ލ*Ä.Â)á-D;@á!e@D.˂)}33ġoݾ ܓAܡ@a    \ ١ ײǀؿ*۟ˡ ?ȡ E 9 . /  ۢ/**ۢ*ܢšt.á **  á ** á +- á*á%šĄ$á)á+á/á,á.آ)ܚ(fbXVB L t  & B \ :@>Vbj` 0,؟ˡ //٢ áظ./ آ$ڢٚڢ/80/ٟˡ`00*á ۢ/**ۢ*ܢšt.á **  á ** á +- á*á%šĄ$á)á+á/á,á.آ)ܚ +؟ˡ2 ٢ض ظ--@--ٟˡ,؟ˡ //٢ áظ./ آ$ڢٚڢ/80/ٟˡ`00*ߡߕcah )؟ˡHH+H+H/á H HH&H& á9H & H  š& š.ˡ%*á &H&H(ٶ#'$J %؟ˡ7ǀڢضõظٸ**D**ٟˡ ٢ ٢ ޤ   ááޤ ޢ Ä=  b'ڢ*šبٶآٚɡ3 P(؟ˡ&&%&%&.á& &ض&&O&&&'ū"ū!v ū ūë# wi v˩!"t & &ȡǖ"+ :w ́ʁȡ9 ́ʁ́ʁ ʁ(ƀݪ'!"ZPaźʁȡašvŹʁȡEƀš(1ƀP1Z1Pƀ1'"ƀá ǿ5%$$%Z$Q9z    *áb٪P..%,,,,..,Í./ˡ/ equal sign (or [CTRL] F if finished).?"Sorry, not enough space on screen. ywqwq=V ń#tétڢåie ڢ Ȅ"$Q/ɄˍBk 5$áOáFá35$5Õ١r|$Qj?Íá6عq}yu-Type aneťieōá&&& ɥ&ˍie ڢč iiڢةĄڢń#tétڢåie ڢ Ȅ"$Q/عr 5á35Ed=  ȡz, vwqruts&0vwڢá   ie ڢÍ iˡd ǿ4Type a step.Finished problem.Get a hint.Help needed.צצáiiéb˄iiTũ. ɡ Q$QQ$áii á  Let me help.2 ééiib˄ɍMš7n nnmn  á   ˡ2DJ@  ˡd ǿ4Type a step.Finished problem.Get a hint.Help needed.צצáiiéb˄iiTũ. ɡ Q$QQ$áii  bצ^š^cáf*   Correct. 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