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Text File  |  1984-07-30  |  27KB  |  153 lines
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                                        :Q                                      :SB                                     :SG210112174272055151                   :SP183064267136267136267136             :SP182136238088238088238088             :SH1135A                                :SH1827B                                :SH0827C                                :SH1838D                                :SF                                     1. Which of the following equations     correctly identifies the line CD in the diagram?                                                                        (a) 3x - 4y = 7                         (b) 3x + 4y = 12                        (c) 4x + 3y = 12                        (d) y = 4x + 3                          (e) 4y - 3x = 7                         :RCB                                    1. (b) 3x + 4y = 12 Ans.                                                        Two points on the graph                 are (-4,6) and (8,-3).                  Although we have                        selected points with                    integral values to avoid                inaccuracies, we have                   purposely avoided the                   points at which x or y                  is 0 in order to make a                 more general case.                      :RA                                     subtract to eliminate b                                                            6 = (-4)m + b                          -3 = (8)m + b                            -   ---------                           9 =   -12m                                                                            3                                 m = - -                                       4                              :RA                                     substitute for m                                                                          3                                6 = (- -)(-4) + b                              4                                                                        b = 3                                                                        Therefore:                                                                            y = -3/4x + 3                                                                  4y = -3x + 12                                                              3x + 4y = 12 Ans.                       :RA                                     :SD                                     :Q                                      2. From the graph find the value of x   on line CD when y = 3/4x.                                                       (a) 2  (b) 4  (c) -2  (d) -4  (e) 3     :RCA                                    2. (a) 2 Ans.                                                                   If you know the                         equation, you                           substitute 3/4x for                     y and solve for x.                      If you know only                        the graph, then, on                     the same axis, draw                     the graph of                            y = 3/4x. One point                     is (0,0). Another                       is (4,3).                               :RA                                     Where this line meets                   the original line,                      read the value of x.                                                                  x = 2 Ans.                                                                Note: In this problem                   you found graphically                   the solution to the                     simultaneous set of                     equations,                                                                           y = 3/4x and                                                                   3x + 4y = 12.                       :RA                                     :SD                                     :Q                                      3. Find the linear relationship between x and y as shown by the table:                                                       x   -1   1   3   4                      -------------------                     y    4  -2  -8  -11                                                        (a) y = -3x + 1  (b) y = 3x + 1                                                 (c) y = x + 1  (d) x = -3y + 1                                                  (e) y = 3x - 1                          :RCA                                    3. (a) y = -3x + 1 Ans.                                                         Treat the pairs of values as            coordinates of points on the graph.     Selecting (-1,4) and (1,-2), substitute each pair in y = mx + b.                                                            4 = m(-1) + b, and                     -2 = m(1) + b                           --------------                           6 = -2m      subtract               :RA                                         m = -3                                                                          b = 1                                                                           y = -3x + 1 Ans.                    :RA                                     :SD                                     :Q                                      :SB                                     :SG175112174272039111                   :SP189104252104266048189104             :SH1427R                                :SH1437S                                :SH0639T                                :SF                                     4. Find in square units the area of     {RST.                                                                           (a) 30 sq. units                        (b) 31.5 sq. units                      (c) 35 sq. units                        (d) 33.5 sq. units                      (e) 32 sq. units                        :RCB                                    4. (b) 31.5 sq units Ans.                                                                  1                            Note:  A = - bh                                    2                                                                    To find b, count the                    number of units in                      the base RS: 9.                                                                 To find h, count the                    number of units in                      the perpendicular                       from T to RS: 7.                        :RA                                     Therefore:                                                                          1                                   A = - x 9 x 7                               2                                                                               63                                    = --                                       2                                                                            = 31.5 sq. units Ans.                 :RA                                     Note: If each x-division                were equal to 3 units,                  then RS would equal                     9 x 3 = 27 units.                       If each y-space were                    equal to 2 units,                       we would multiply                       each y-dimension                        by 2 to obtain the                      number of vertical                      units.                                  :RA                                     :SD                                     :Q                                      :SB                                     :SG210088181251031111                   :SP189096245048245048245048             :SH1327A                                :SH0636B                                :SF                                     5. The coordinates of point A are       (-3,-1) and of B, (5,5). Find the       number of units in the length AB.                                               (a) 5  (b) 2  (c) 10                                                            (d) 29  (e) 20                          :RCC                                    5. (c) 10 units Ans.                                                            Use the distance formula.                                                            ___________________                    /       2          2                d=\/(x - x') + (y - y')                                                                                                         _______________                        /     2        2                 AB = \/(-3-5) + (-1-5)                                                                  ___________                            /   2      2                     AB = \/(-8) + (-6)                      :RA                                            _______                          AB = \/64 + 36                                 ___                              AB = \/100                                                                      AB = 10  Ans.                           :RA                                     :SD                                     :Q                                      :SB                                     :SG189112188258031111                   :SP196072252096217040196072             :SH0930A                                :SH1337B                                :SH0532C                                :SF                                     6. Find the number of square units in   the area of {ABC.                                                               (a) 20.5  (b) 10.5                                                              (c) 20    (d) 15.5                                                              (e) 0                                   :RCA                                    :SD                                     :SB                                     :SG189112188258031111                   :SP196072252096217040196072             :SH0930A                                :SH1337B                                :SH0532C                                :SP196040196096252096252040             :SP252040196040196040196040             :SH0729I                                :SH0734II                               :SH1229III                              :SF                                     6. (a) 20.5 Ans.                                                                In this case, neither                   the base nor the                        altitude of the                         triangle can be found                   directly by counting                    units. Through the                      vertices of the                         triangle, draw                          horizontal and                          vertical lines, as                      shown, to form a                        rectangle. This rectangle               is composed of 3 right                  triangles and {ABC.                     :RA                                       {I = 1/2 bh                                = 1/2 x 3 x 4                           = 6                                                                         {II = 1/2 x 5 x 7                           = 35/2                                  = 17.5                                                                     {III = 1/2 x 8 x 3                           = 12                                                                       The sum of the areas                    of triangles is                                                                  6 + 17.5 + 12                                = 35.5 sq unit                    :RA                                     area of rectangle is                                                               bh = 8 x 7                                 = 56 sq units                                                             Therefore:                                                                      area of {ABC is                                                                      56 - 35.5                                                                       = 20.5 Ans.                        :ET                                     :ET                                     Copyright ARROW INSTRUCTIONAL SYSTEMS                 July 1983                 The sum of the areas                    of triangles is                                                                  6 + 17.5 + 12                                = 35.5 sq unit                    :RA                                     area of rectangle is                                                               bh = 8 x 7                                 = 56 sq units                                                             Therefore:                                                                      area of {ABC is                                                                      56 - 35.5                                                                       = 20.5 Ans.                        :ET                                     :ET                                     Copyright ARROW INSTRUCTIONAL SYSTEMS                 July 1983                           ' !m..         ' !DISK1      j!nBASICA  EXE `qåÇ√EDLIN   COM `qÜáSAMPLE  BAK ¿Γ2|WDISK2      m!oDISK3      o!pDISK4      p!rDISK5      r!sDISK6      t!tDISK7      u!uDISK8      w!vDISK9      x!wDISK10     z!xDISK11     }!ynown examples of such   coevolution are the obligatory          relations between figs and fig wasps    and between yuccas and yucca moths. In  both instances the plants have come to  need the services of the insects as     pollen carriers and the insects in turn have come to call on the plant to       sacrifice some of its ovules as larval  feeding sites to promote the insect's   reproduction. In such instances plants  and animals have taken turns acting as  agents of natural selection with        respect to each other.                                                          Not all coevolution, however, is        mutualistic. In many instances one of   the interacting organisms is parasitic  on the other. One of the most           :RA                                     remarkable interactions for the study   of animal-plant coevolution of the      host-parasite type is the interaction   between certain brightly colored        butterflies of the New World Tropics    and certain vines. The butterflies are  members of the genus Heliconius; the    vines are passion-flower vines, members of the genus Passiflora. The            passion-flower vines have evolved       effective chemical defenses against     insects, but a few insects, the         Heliconius butterflies among them, have evolved the ability to circumvent these defenses. That ability apparently       precludes the Heliconius butterflies'   being parasitic on other plants.        Heliconius butterflies thus deposit     their eggs only on Passiflora           :RA                                     vines, where the eggs hatch into larvae that feed voraciously on the leaves of  the vine. The remarkable thing is that  some species of the vine have features  that appear to mimic the distinctive    bright yellow eggs of the butterflies.                                          What accounts for this mimicry, if that is what it is? One possibility is the   coevolution of Passiflora with          Heliconius. How could any one trait of  a plant be causally attributed to       natural selection imposed by one        species or genus of insects among so    many? The answer is that such a         selective effect is almost impossible.  That is why plants such as the          passion-flower vines, with their        :RA                                     simplified, specialized populations of  animal parasites, are of such interest. With only a few major herbivores such   as Heliconius to account for,           interpreting the defensive traits of    passion-flower vi┌ΦΩφ)SΦM■ç┌Y[XQ╣▌╙Q╣QPRΦA■ZXèΦ■╚è╚:░r├ï≥è
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  29. ╔tδï≤ïnïlíjè}Φ5δ╒ü■  }≈▐Nï╬Φ1Iu·á}4Çè╨ΦΘJ áw
  30. x
  31. u├è}Φ≤
  32. ÇΘûï╓Φ+!ëyë{újë6lë>n █è┴óx├Φ╔QSPïnïlíjΦ░X[YënëlújΦ⌠!è┴ów├Ç>~èÇu7├Ç>~tsèÇ
  33. █uèü■├*ùδÇ>~tXèÇù:üv2█êÇV╖éï≤ï>ä╞2 ■╟:>ùwèSΦ{ [:u■FGδσè╞:ùu╞^├Ç>~tPRï┌èû2÷+┌sⁿ┌áù2Σ÷πóÇZX├2└óÇóó~S∙Φi)è╨[ΦnΦ╝tiΦv▐,<,taΦΩ╩ΦC╧uVSΦ═εï2φèïw┐[ë>éQⁿ≤ñYQüΘ≈┘2└≤¬Φ▌Yóù
  34. ╔t"å╚2ΣH÷±2Σ@<Asóû÷ß
  35. Σu ■╚óü■~[├ΘΩ╝ΦÇ╥Sè┬Φ_r≥óAδδÇ>~t8Φ6Φî╗t0Φ±▌,ΦK=QQ:IF IN$=M$ THEN 1170
  36. 1090 IF MI=R0 THEN 1162
  37. 1093 IF IN$=R$ THEN 1120
  38. 1095 IF IN$<>"S" THEN 1040
  39. 1097 IF F1$=C$ THEN IN$=M$:CT=MT:GOTO 1170
  40. 1110 GOSUB 10600:VT=8:HT=51:GOSUB 10000:PRINT SC%(R0,R1):VT=10:GOSUB 10000:PRINT SC%(R0,R2):VT=15:GOSUB 10000:PRINT SC%(R1,R1):VT=17:GOSUB 10000:PRINT SC%(R1,R2):GOSUB 10700:IN$=M$:GOTO 1170
  41. 1120 GOSUB 10750:IF MI=R0 THEN 1170
  42. 1130 PB=M1:PS=R0:ER=R0:J=R0:SK=R0:T2=R1:GOSUB 10200:GOSUB 10400:GOSUB 2010:GOSUB 42:T2=R0:IF IN$=M$ THEN 1170
  43. 1150 IF MI=R0 THEN 1162
  44. 1160 GOTO 1040
  45. 1162 CLS:T$="TIME IS UP":VT=R4:GOSUB 10000:GOSUB 1980:HT=R1:VT=12:GOSUB 10000:PRINT"PRESS 'C' TO CONTINUE":VT=14:GOSUB 10000:PRINT"PRESS 'S' TO STOP THE TEST"
  46. 1164 PRINT CHR$(7);:GOSUB 830:IF IN$="S" THEN 1097
  47. 1166 IF IN$<>C$ THEN 1164
  48. 1170 TM(ZZ-R1)=MI:GOSUB 10200:CLOSE:T2=R0
  49. 1171 T2=R0
  50. 1180 IF IN$=M$ THEN ZZ=R4
  51. 1190 NEXT
  52. 1191 GOSUB 2000
  53. 1200 IN$=F1$:F1$=BL$:F2$=BL$:TS=R0:T2=R0:GOTO 1340
  54. 1210 MN=R1:MA=R0:F1$=BL$:F2$=BL$:F3$=BL$:FX=R0:FA=R1:B=R2:E=5:XX=50:ER=R0:TS=R0
  55. 1220 POKE 35,24:CLS:HT=10:VT=1:GOSUB 10000:T$="***************************************************":VT=0:GOSUB 1980:VT=R1:GOSUB 10000:T$=MID$(MN$(MA),R3):GOSUB 1980:GOSUB 1990:T$=MID$(MN$(MN),R4):GOSUB 1980:GOSUB 1990:T$=MN$(XX):GOSUB 1980
  56. 1221 GOSUB 1990:HT=10:VT=VT+1:GOSUB 10000:T$="***************************************************":VT=4:GOSUB 1980:VT=7:GOSUB 10000:FOR MN=B TO E:HT=10:VT=VT+2:GOSUB 10000:PRINT MN$(MN):PRINT
  57. 1230 NEXT:GOSUB 20000:GOSUB 2010   'PRINT SELECT ONE OF THE ABOVE
  58. 1235 IF GR=1 THEN GR=0:RETURN
  59. 1240 VT=21:WW$=T$:T$=RD$:GOSUB 1980:T$=WW$:GOSUB 830
  60. 1250 IF IN$<A$ OR IN$>Q$ THEN PRINT CHR$(7);:GOTO 1240
  61. 1260 IF IN$=M$ THEN 1210
  62. 1270 IF IN$=Q$ THEN GOSUB 1905:GOTO 1240
  63. 1280 IF IN$<>P$ THEN 1320
  64. 1285 IF F1$=F$ THEN F1$=D$
  65. 1290 IF F1$=BL$ OR F2$=BL$ THEN 1210
  66. 1310 IF F3$=BL$ THEN IN$=F1$:F1$=BL$:F2$=BL$
  67. 1320 IF F1$>BL$ THEN 1420
  68. 1330 IF IN$>D$ THEN 1790
  69. 1340 MA=45:FX=R0:FA=R1:F1$=IN$
  70. 1350 IF IN$=A$ THEN MN=R2:B=8:E=9
  71. 1360 IF IN$=B$ THEN MN=R3:B=11:E=15
  72. 1370 IF IN$=C$ THEN MN=R4:B=19:E=21
  73. 1380 IF IN$=D$ OR IN$=F$ THEN MN=R5:B=38:E=41
  74. 1390 IF IN$=E$ THEN MN=R6:B=58:E=61
  75. 1410 XX=51:GOTO 1220
  76. 1420 IF F1$>A$ THEN 1450
  77. 1430 IF IN$>B$ THEN 1790
  78. 1440 DC=R0:CLS:GOTO 1740
  79. 1450 IF F1$>B$ THEN 1480
  80. 1460 IF IN$>E$ THEN 1790
  81. 1470 DC=7:CLS:GOTO 1740
  82. 1480 IF F1$>C$ THEN 1530
  83. 1485 IF F2$>BL$ THEN 1010
  84. 1490 IF IN$>C$ THEN 1790
  85. 1500 IF IN$=A$ THEN DC=R1:GOTO 1740
  86. 1510 IF IN$=B$ THEN DC=R1:GOSUB 1970:B=53:E=57:MN=20:GOTO 1220
  87. 1520 CLS:GOTO 2040
  88. 1530 IF F1$=D$ THEN F1$=F$
  89. 1610 IF F1$>E$ THEN 1700
  90. 1620 IF IN$>D$ THEN 1790
  91. 1630 DC=8:CLS:GOTO 1740
  92. 1700 IF F1$>F$ THEN 1790
  93. 1704 IF F2$>BL$ THEN 1010
  94. 1706 IF IN$>D$ THEN 1790
  95. 1710 IF IN$=B$ THEN DC=7:GOSUB 1970:B=53:E=57:MN=39:GOTO 1220
  96. 1720 IF IN$=C$ THEN DC=8:GOSUB 1970:B=53:E=57:MN=40:GOTO 1220
  97. 1730 IF IN$=D$ THEN 1850
  98. 1735 DC=7:CLS
  99. 1740 CLS:FL$=F1$+IN$+BL$:FX=R2:TI=1000:FA=R1:GOSUB 33:CLOSE:IN$=LEFT$(FL$,R1):F1$=BL$:GOTO 1340
  100. 1790 PRINT CHR$(7);:GOTO 1240
  101. 1850 GOSUB 10800
  102. 1851 VT=11:XX=85-(SC%(R0,R0)+SC%(R0,R1)+SC%(R0,R2)):GOSUB 1890
  103. 1853 SC%(10,R1)=VAL(SC$)
  104. 1855 VT=12:GOSUB 1890
  105. 1856 SC%(10,R2)=VAL(SC$):IF SC%(10,R1)+SC%(10,R2)>XX THEN T$="PLEASE ENTER A TOTAL LESS THAN "+STR$(XX+R1):GOSUB 1899:GOTO 1851
  106. 1857 SC%(R0,R1)=SC%(10,R1)+SC%(R0,R1):SC%(R0,R2)=SC%(10,R2)+SC%(R0,R2)
  107. 1860 VT=16:XX=60-(SC%(R1,R0)+SC%(R1,R1)+SC%(R1,R2)):GOSUB 1890
  108. 1861 SC%(10,R1)=VAL(SC$)
  109. 1865 VT=17:GOSUB 1890
  110. 1866 SC%(10,R2)=VAL(SC$):IF SC%(10,R1)+SC%(10,R2)>XX THEN T$="PLEASE ENTER A TOTAL LESS THAN"+STR$(XX+R1):GOSUB 1899:GOTO 1860
  111. 1867 SC%(R1,R1)=SC%(10,R1)+SC%(R1,R1):SC%(R1,R2)=SC%(10,R2)+SC%(R1,R2)
  112. 1870 GOSUB 10200:VT=R1:GOSUB 10000:T$=MID$(MN$(62),R4):GOSUB 1980:VT=5:GOSUB 10850:XX=SC%(R0,R1)-INT(SC%(R0,R2)/R4):FOR X=R0 TO INT(XX/R5):READ IN:NEXT:ZZ=TM(R0)+TM(R2):VT=8:HT=7:GOSUB 10000:PRINT XX;:HT=35:GOSUB 10000:PRINT IN;
  113. 1871 HT=58:GOSUB 10000:PRINT ZZ:RESTORE
  114. 1880 VT=11:GOSUB 10000:T$=MID$(MN$(63),R4):GOSUB 1980:VT=14:GOSUB 10850:XX=SC%(R1,R1)-INT(SC%(R1,R2)/R4):FOR X=R0 TO INT(XX/R5)+19:READ IN:NEXT:ZZ=TM(R1)+TM(R3):VT=17:HT=7:GOSUB 10000:PRINT XX;:HT=35:GOSUB 10000:PRINT IN;
  115. 1881 HT=58:GOSUB 10000:PRINT ZZ:RESTORE:GOSUB 10700:IN$=F$:GOTO 1340
  116. 1890 HT=53:GOSUB 10000:SC$="":ZZ=R0
  117. 1891 GOSUB 10000:PRINT"_";:GOSUB 10000:PRINT" ";:GOSUB 10000:IN$=INKEY$:IF IN$="" THEN 1891
  118. 1892 IF IN$=CHR$(13) THEN 1902
  119. 1893 IF IN$<"0" OR IN$>"9" THEN T$="PLEASE ENTER NUMBERS ONLY":GOSUB 1899:GOTO 1890
  120. 1894 PRINT IN$;:LOCATE 19,1:PRINT SPACE$(79);:HT=HT+1:GOSUB 10000
  121. 1895 SC$=SC$+IN$:IF VAL(SC$)>XX THEN T$="PLEASE ENTER A TOTAL LESS THAN "+STR$(XX+R1):GOSUB 1899:GOTO 1890
  122. 1897 GOTO 1891
  123. 1899 SC$="":IF IN$=BS$ THEN VT=0:RETURN
  124. 1900 TV=VT:VT=18:GOSUB 10000:GOSUB 1980:PRINT CHR$(7);:VT=TV:TH=HT:HT=HT+30:GOSUB 10000:PRINT"   ":HT=TH:RETURN
  125. 1902 IF SC$="" THEN PRINT "0"
  126. 1904 PRINT BL$:VT=21:GOSUB 10000:RETURN
  127. 1905 GOSUB 10900:RETURN
  128. 1910 CLOSE
  129. 1930 CLS:PRINT ERR;ERL:STOP
  130. 1940 REM ON ERROR GOTO 1945
  131. 1941 OPEN "I",1,FL$
  132. 1942 CLOSE
  133. 1943 RETURN
  134. 1945 RESUME 1950
  135. 1950 CLOSE:GOSUB 2220
  136. 1951 GOTO 1940
  137. 1970 MA=45:FX=R0:FA=R1:B=42:E=44:F2$=IN$:XX=52:RETURN
  138. 1980 VT=VT+1:X=40-(LEN(T$)/R2):HT=X:GOSUB 10000:PRINT T$;:RETURN
  139. 1990 HT=15:GOSUB 10000:PRINT"*";:HT=65:GOSUB 10000:PRINT"*";:RETURN
  140. 2000 HT=R1:VT=1:GOSUB 10000:IF MT=0 THEN PB=M1
  141. 2001 REM 2000 GOSUB 10200:HT=R1:VT=1:GOSUB 10000:IF MT=0 THEN PB=M1
  142. 2005 RETURN
  143. 2010 HT=R1:VT=23:GOSUB 10000:X$=STRING$(80,42):PRINT X$;:VT=24:GOSUB 10000:PRINT FX$(FX);
  144. 2011 VT=25:GOSUB 10000:PRINT FX$(FA);:VT=0
  145. 2012 IF TS<>R1 THEN RETURN
  146. 2014 IF RT=1 THEN RETURN
  147. 2015 T0=VT:VT=24:HT=50:GOSUB 20200:GOSUB 10000:PRINT"TIME ";MI;:POKE 81,T0:VT=T0
  148. 2016 IF AL=0 THEN AL=1:VT=1
  149. 2020 RETURN
  150. 2040 MN=62:B=R0:E=R3:GOSUB 2050:MN=63:B=R4:E=9:GOSUB 2050:MN=63:B=10:E=15:GOSUB 2050:FL$="   ":GOSUB 10200:IN$=C$:GOTO 1340
  151. 2050 CLS:T$=MID$(MN$(21),R4):L=INT(LEN(T$)/2):HT=80-L:VT=1:GOSUB 10000:GOSUB 1980:VT=R2:HT=1:GOSUB 10000:T$=MID$(MN$(MN),R4):GOSUB 1980
  152. 2051 VT=R4:HT=R1:GOSUB 10000:PRINT "   CORRECT              INCORRECT             OMITTED            TOTAL"
  153. 2052 VT=VT+1:GOSUB 10000:    PRINT "    NO  %                 NO  %