AGE2L1
FILE INFORMATION
FILENAME(S): AGE2L1
FILE TYPE(S): PRG
FILE SIZE: 3.1K
FIRST SEEN: 2025-10-19 22:49:00
APPEARS ON: 1 disk(s)
FILE HASH
d5494b4a93ae399aec6ebeb81657dd8edf0b9c49690203c824e325ebde86d920
FOUND ON DISKS (1 DISKS)
| DISK TITLE | FILENAME | FILE TYPE | COLLECTION | TRACK | SECTOR | ACTIONS |
|---|---|---|---|---|---|---|
| HHM 100785 42S1 | AGE2L1 | PRG | Radd Maxx | 20 | 3 | DOWNLOAD FILE |
FILE CONTENT & ANALYSIS
00000000: 20 41 40 71 41 47 45 20 54 55 54 4F 52 49 41 4C | A@qAGE TUTORIAL| 00000010: 20 2D 2D 20 50 41 52 54 20 54 57 4F 2E 20 48 65 | -- PART TWO. He| 00000020: 72 65 20 69 73 20 61 20 73 61 6D 70 6C 65 20 41 |re is a sample A| 00000030: 67 65 20 57 6F 72 64 20 50 72 6F 62 6C 65 6D 2E |ge Word Problem.| 00000040: 40 64 67 31 30 26 64 28 30 2C 29 40 6A 43 61 72 |@dg10&d(0,)@jCar| 00000050: 6F 6C 69 6E 65 20 69 73 20 37 20 79 65 61 72 73 |oline is 7 years| 00000060: 20 6F 6C 64 65 72 20 74 68 61 6E 20 4D 69 6B 69 | older than Miki| 00000070: 6F 2E 20 49 6E 20 34 20 79 65 61 72 73 2C 20 73 |o. In 4 years, s| 00000080: 68 65 20 77 69 6C 6C 20 62 65 20 74 77 69 63 65 |he will be twice| 00000090: 20 61 73 20 6F 6C 64 20 61 73 20 4D 69 6B 69 6F | as old as Mikio| 000000A0: 2E 20 48 6F 77 20 6F 6C 64 20 69 73 20 65 61 63 |. How old is eac| 000000B0: 68 20 70 65 72 73 6F 6E 20 6E 6F 77 3F 26 63 28 |h person now?&c(| 000000C0: 31 2C 4D 69 6B 69 6F 29 26 63 28 32 2C 43 61 72 |1,Mikio)&c(2,Car| 000000D0: 6F 6C 69 6E 65 29 26 64 28 33 2C 41 67 65 20 4E |oline)&d(3,Age N| 000000E0: 6F 77 29 26 64 28 36 2C 44 69 66 66 65 72 65 6E |ow)&d(6,Differen| 000000F0: 63 65 29 26 64 28 39 2C 41 67 65 20 54 68 65 6E |ce)&d(9,Age Then| 00000100: 29 40 72 52 45 41 44 40 70 52 65 61 64 20 74 68 |)@rREAD@pRead th| 00000110: 65 20 77 68 6F 6C 65 20 70 72 6F 62 6C 65 6D 2E |e whole problem.| 00000120: 20 54 68 69 6E 6B 3A 20 57 68 61 74 20 61 72 65 | Think: What are| 00000130: 20 74 68 65 20 66 61 63 74 73 3F 20 57 68 61 74 | the facts? What| 00000140: 20 69 73 20 62 65 69 6E 67 20 61 73 6B 65 64 3F | is being asked?| 00000150: 20 20 20 20 20 20 28 41 6E 79 20 6B 65 79 20 74 | (Any key t| 00000160: 6F 20 63 6F 6E 74 69 6E 75 65 2E 29 40 68 57 68 |o continue.)@hWh| 00000170: 61 74 20 61 72 65 20 74 68 65 20 66 61 63 74 73 |at are the facts| 00000180: 3F 26 71 43 61 72 6F 6C 69 6E 65 20 69 73 20 37 |?&qCaroline is 7| 00000190: 20 79 65 61 72 73 20 6F 6C 64 65 72 20 74 68 61 | years older tha| 000001A0: 6E 20 4D 69 6B 69 6F 26 71 26 71 49 6E 20 34 20 |n Mikio&q&qIn 4 | 000001B0: 79 65 61 72 73 2C 20 73 68 65 20 77 69 6C 6C 20 |years, she will | 000001C0: 62 65 20 74 77 69 63 65 20 61 73 20 6F 6C 64 20 |be twice as old | 000001D0: 61 73 20 4D 69 6B 69 6F 26 71 40 68 57 68 61 74 |as Mikio&q@hWhat| 000001E0: 20 69 73 20 62 65 69 6E 67 20 61 73 6B 65 64 3F | is being asked?| 000001F0: 20 26 68 48 6F 77 20 6F 6C 64 20 69 73 20 65 61 | &hHow old is ea| 00000200: 63 68 20 70 65 72 73 6F 6E 20 6E 6F 77 3F 26 68 |ch person now?&h| 00000210: 40 69 28 30 29 40 72 44 41 54 41 20 45 4E 54 52 |@i(0)@rDATA ENTR| 00000220: 59 40 70 55 73 69 6E 67 20 61 20 76 61 72 69 61 |Y@pUsing a varia| 00000230: 62 6C 65 2C 20 72 65 70 72 65 73 65 6E 74 20 4D |ble, represent M| 00000240: 69 6B 69 6F 27 73 20 41 67 65 20 4E 6F 77 2E 40 |ikio's Age Now.@| 00000250: 68 53 69 6E 63 65 20 4D 69 6B 69 6F 20 69 73 20 |hSince Mikio is | 00000260: 74 68 65 20 79 6F 75 6E 67 65 72 20 6F 6E 65 2C |the younger one,| 00000270: 20 63 68 6F 6F 73 65 20 61 20 76 61 72 69 61 62 | choose a variab| 00000280: 6C 65 20 74 6F 20 72 65 70 72 65 73 65 6E 74 20 |le to represent | 00000290: 68 69 73 20 41 67 65 20 4E 6F 77 2E 26 71 43 61 |his Age Now.&qCa| 000002A0: 72 6F 6C 69 6E 65 20 69 73 20 37 20 79 65 61 72 |roline is 7 year| 000002B0: 73 20 6F 6C 64 65 72 20 74 68 61 6E 20 4D 69 6B |s older than Mik| 000002C0: 69 6F 26 71 40 68 43 68 6F 6F 73 65 20 61 6E 79 |io&q@hChoose any| 000002D0: 20 76 61 72 69 61 62 6C 65 20 73 75 63 68 20 61 | variable such a| 000002E0: 73 20 60 6D 27 20 74 6F 20 72 65 70 72 65 73 65 |s `m' to represe| 000002F0: 6E 74 20 4D 69 6B 69 6F 27 73 20 41 67 65 20 4E |nt Mikio's Age N| 00000300: 6F 77 2E 40 69 28 34 2C 69 2C 26 76 29 40 70 52 |ow.@i(4,i,&v)@pR| 00000310: 65 70 72 65 73 65 6E 74 20 43 61 72 6F 6C 69 6E |epresent Carolin| 00000320: 65 27 73 20 41 67 65 20 4E 6F 77 20 69 6E 20 74 |e's Age Now in t| 00000330: 65 72 6D 73 20 6F 66 20 22 26 76 22 2C 20 4D 69 |erms of "&v", Mi| 00000340: 6B 69 6F 27 73 20 41 67 65 20 4E 6F 77 2E 40 68 |kio's Age Now.@h| 00000350: 55 73 65 20 6F 6E 65 20 76 61 72 69 61 62 6C 65 |Use one variable| 00000360: 20 66 6F 72 20 62 6F 74 68 20 70 65 6F 70 6C 65 | for both people| 00000370: 27 73 20 41 67 65 20 4E 6F 77 2E 20 52 65 70 72 |'s Age Now. Repr| 00000380: 65 73 65 6E 74 20 43 61 72 6F 6C 69 6E 65 27 73 |esent Caroline's| 00000390: 20 61 67 65 20 69 6E 20 74 65 72 6D 73 20 6F 66 | age in terms of| 000003A0: 20 22 26 76 22 20 28 4D 69 6B 69 6F 27 73 20 41 | "&v" (Mikio's A| 000003B0: 67 65 29 2E 26 71 43 61 72 6F 6C 69 6E 65 20 69 |ge).&qCaroline i| 000003C0: 73 20 37 20 79 65 61 72 73 20 6F 6C 64 65 72 20 |s 7 years older | 000003D0: 74 68 61 6E 20 4D 69 6B 69 6F 26 71 40 68 53 69 |than Mikio&q@hSi| 000003E0: 6E 63 65 20 73 68 65 20 69 73 20 37 20 79 65 61 |nce she is 7 yea| 000003F0: 72 73 20 6F 6C 64 65 72 20 74 68 61 6E 20 4D 69 |rs older than Mi| 00000400: 6B 69 6F 2C 20 22 26 76 2B 37 22 20 77 69 6C 6C |kio, "&v+7" will| 00000410: 20 72 65 70 72 65 73 65 6E 74 20 68 65 72 20 41 | represent her A| 00000420: 67 65 20 4E 6F 77 2E 40 69 28 35 2C 69 2C 26 76 |ge Now.@i(5,i,&v| 00000430: 2B 37 29 40 70 49 6E 64 69 63 61 74 65 20 74 68 |+7)@pIndicate th| 00000440: 65 20 44 69 66 66 65 72 65 6E 63 65 20 62 65 74 |e Difference bet| 00000450: 77 65 65 6E 20 41 67 65 20 4E 6F 77 20 61 6E 64 |ween Age Now and| 00000460: 20 41 67 65 20 54 68 65 6E 20 62 79 20 65 6E 74 | Age Then by ent| 00000470: 65 72 69 6E 67 20 60 2B 27 20 6F 72 20 60 2D 27 |ering `+' or `-'| 00000480: 20 74 68 65 20 6E 75 6D 62 65 72 20 6F 66 20 79 | the number of y| 00000490: 65 61 72 73 2E 40 68 26 68 49 6E 20 34 20 79 65 |ears.@h&hIn 4 ye| 000004A0: 61 72 73 26 68 2C 20 72 65 66 65 72 73 20 74 6F |ars&h, refers to| 000004B0: 20 34 20 79 65 61 72 73 20 69 6E 20 74 68 65 20 | 4 years in the | 000004C0: 66 75 74 75 72 65 2E 40 68 55 73 65 20 60 2B 34 |future.@hUse `+4| 000004D0: 27 20 74 6F 20 72 65 70 72 65 73 65 6E 74 20 60 |' to represent `| 000004E0: 69 6E 20 34 20 79 65 61 72 73 27 2E 40 69 28 37 |in 4 years'.@i(7| 000004F0: 2C 69 2C 2B 34 29 26 64 28 38 2C 2B 34 29 26 63 |,i,+4)&d(8,+4)&c| 00000500: 28 31 33 2C 41 67 65 20 4E 6F 77 20 2B 20 44 69 |(13,Age Now + Di| 00000510: 66 66 65 72 65 6E 63 65 20 3D 20 41 67 65 20 54 |fference = Age T| 00000520: 68 65 6E 29 40 70 55 73 65 20 74 68 65 20 45 71 |hen)@pUse the Eq| 00000530: 75 61 74 69 6F 6E 20 49 64 65 61 20 74 6F 20 72 |uation Idea to r| 00000540: 65 70 72 65 73 65 6E 74 20 4D 69 6B 69 6F 27 73 |epresent Mikio's| 00000550: 20 61 67 65 20 69 6E 20 34 20 79 65 61 72 73 20 | age in 4 years | 00000560: 28 41 67 65 20 54 68 65 6E 29 2E 26 77 28 31 33 |(Age Then).&w(13| 00000570: 29 40 68 4D 69 6B 69 6F 20 69 73 20 22 26 76 22 |)@hMikio is "&v"| 00000580: 20 6E 6F 77 2E 20 41 64 64 20 74 68 65 20 44 69 | now. Add the Di| 00000590: 66 66 65 72 65 6E 63 65 20 74 6F 20 67 65 74 20 |fference to get | 000005A0: 41 67 65 20 54 68 65 6E 2E 40 68 4D 69 6B 69 6F |Age Then.@hMikio| 000005B0: 20 69 73 20 22 26 76 22 20 6E 6F 77 20 61 6E 64 | is "&v" now and| 000005C0: 20 69 6E 20 34 20 79 65 61 72 73 20 68 65 20 77 | in 4 years he w| 000005D0: 69 6C 6C 20 62 65 20 22 26 76 2B 34 22 20 79 65 |ill be "&v+4" ye| 000005E0: 61 72 73 20 6F 6C 64 2E 40 69 28 31 30 2C 69 2C |ars old.@i(10,i,| 000005F0: 26 76 2B 34 29 40 70 55 73 65 20 74 68 65 20 45 |&v+4)@pUse the E| 00000600: 71 75 61 74 69 6F 6E 20 49 64 65 61 20 74 6F 20 |quation Idea to | 00000610: 72 65 70 72 65 73 65 6E 74 20 43 61 72 6F 6C 69 |represent Caroli| 00000620: 6E 65 27 73 20 61 67 65 20 69 6E 20 34 20 79 65 |ne's age in 4 ye| 00000630: 61 72 73 20 28 41 67 65 20 54 68 65 6E 29 2E 40 |ars (Age Then).@| 00000640: 68 43 61 72 6F 6C 69 6E 65 20 69 73 20 60 26 76 |hCaroline is `&v| 00000650: 2B 37 27 20 79 65 61 72 73 20 6F 6C 64 20 6E 6F |+7' years old no| 00000660: 77 2E 40 68 43 61 72 6F 6C 69 6E 65 20 69 73 20 |w.@hCaroline is | 00000670: 60 26 76 2B 37 27 20 79 65 61 72 73 20 6F 6C 64 |`&v+7' years old| 00000680: 20 6E 6F 77 2E 20 49 6E 20 34 20 79 65 61 72 73 | now. In 4 years| 00000690: 20 73 68 65 20 77 69 6C 6C 20 62 65 20 60 26 76 | she will be `&v| 000006A0: 2B 37 2B 34 27 20 6F 72 20 60 26 76 2B 31 31 27 |+7+4' or `&v+11'| 000006B0: 20 79 65 61 72 73 20 6F 6C 64 2E 40 69 28 31 32 | years old.@i(12| 000006C0: 2C 69 2C 26 76 2B 31 31 29 40 70 55 73 65 20 74 |,i,&v+11)@pUse t| 000006D0: 68 65 20 4D 75 6C 74 69 70 6C 69 65 72 20 57 69 |he Multiplier Wi| 000006E0: 6E 64 6F 77 20 74 6F 20 73 68 6F 77 20 74 68 65 |ndow to show the| 000006F0: 20 72 65 6C 61 74 69 6F 6E 20 62 65 74 77 65 65 | relation betwee| 00000700: 6E 20 4D 69 6B 69 6F 27 73 20 41 67 65 20 54 68 |n Mikio's Age Th| 00000710: 65 6E 20 61 6E 64 20 43 61 72 6F 6C 69 6E 65 27 |en and Caroline'| 00000720: 73 20 41 67 65 20 54 68 65 6E 2E 26 71 74 77 69 |s Age Then.&qtwi| 00000730: 63 65 20 61 73 20 6F 6C 64 26 71 40 68 49 6E 20 |ce as old&q@hIn | 00000740: 34 20 79 65 61 72 73 20 43 61 72 6F 6C 69 6E 65 |4 years Caroline| 00000750: 20 77 69 6C 6C 20 62 65 20 32 20 74 69 6D 65 73 | will be 2 times| 00000760: 20 4D 69 6B 69 6F 27 73 20 61 67 65 2E 40 68 45 | Mikio's age.@hE| 00000770: 6E 74 65 72 20 60 32 27 20 61 6E 64 20 70 72 65 |nter `2' and pre| 00000780: 73 73 20 74 68 65 20 3C 52 65 74 75 72 6E 3E 20 |ss the <Return> | 00000790: 6B 65 79 2E 40 69 28 31 31 2C 69 2C 32 29 40 72 |key.@i(11,i,2)@r| 000007A0: 43 4F 4D 50 55 54 45 26 63 28 31 33 2C 28 26 76 |COMPUTE&c(13,(&v| 000007B0: 2B 34 29 20 20 20 2A 20 32 20 20 3D 20 20 26 76 |+4) * 2 = &v| 000007C0: 2B 31 31 29 40 70 55 73 65 20 74 68 65 20 43 61 |+11)@pUse the Ca| 000007D0: 6C 63 75 6C 61 74 6F 72 20 74 6F 20 73 6F 6C 76 |lculator to solv| 000007E0: 65 20 74 68 65 20 65 71 75 61 74 69 6F 6E 20 66 |e the equation f| 000007F0: 6F 72 20 22 26 76 22 20 28 4D 69 6B 69 6F 27 73 |or "&v" (Mikio's| 00000800: 20 41 67 65 20 4E 6F 77 29 2E 40 68 54 68 65 20 | Age Now).@hThe | 00000810: 43 61 6C 63 75 6C 61 74 6F 72 20 73 6F 6C 76 65 |Calculator solve| 00000820: 73 20 65 71 75 61 74 69 6F 6E 73 20 66 6F 72 20 |s equations for | 00000830: 79 6F 75 20 61 6E 64 20 64 69 73 70 6C 61 79 73 |you and displays| 00000840: 20 73 74 65 70 73 20 69 6E 20 74 68 65 20 73 6F | steps in the so| 00000850: 6C 75 74 69 6F 6E 2E 40 68 52 65 6D 65 6D 62 65 |lution.@hRemembe| 00000860: 72 20 74 6F 20 6D 75 6C 74 69 70 6C 79 20 62 6F |r to multiply bo| 00000870: 74 68 20 22 26 76 22 20 61 6E 64 20 34 20 62 79 |th "&v" and 4 by| 00000880: 20 32 2E 20 49 73 6F 6C 61 74 65 20 22 26 76 22 | 2. Isolate "&v"| 00000890: 20 6F 6E 20 6F 6E 65 20 73 69 64 65 20 6F 66 20 | on one side of | 000008A0: 74 68 65 20 65 71 75 61 74 69 6F 6E 2E 20 45 6E |the equation. En| 000008B0: 74 65 72 20 60 26 76 3D 33 27 2E 40 69 28 31 33 |ter `&v=3'.@i(13| 000008C0: 2C 69 2C 26 76 3D 33 29 40 70 4E 6F 77 20 79 6F |,i,&v=3)@pNow yo| 000008D0: 75 20 61 72 65 20 72 65 61 64 79 20 74 6F 20 65 |u are ready to e| 000008E0: 6E 74 65 72 20 79 6F 75 72 20 61 6E 73 77 65 72 |nter your answer| 000008F0: 73 20 74 6F 20 74 68 65 20 70 72 6F 62 6C 65 6D |s to the problem| 00000900: 20 69 6E 20 74 68 65 20 67 72 69 64 2E 26 71 48 | in the grid.&qH| 00000910: 6F 77 20 6F 6C 64 20 69 73 20 65 61 63 68 20 70 |ow old is each p| 00000920: 65 72 73 6F 6E 20 6E 6F 77 3F 26 71 40 68 22 26 |erson now?&q@h"&| 00000930: 76 22 20 72 65 70 72 65 73 65 6E 74 73 20 4D 69 |v" represents Mi| 00000940: 6B 69 6F 27 73 20 41 67 65 20 4E 6F 77 2E 40 68 |kio's Age Now.@h| 00000950: 53 69 6E 63 65 20 60 26 76 3D 33 27 2C 20 4D 69 |Since `&v=3', Mi| 00000960: 6B 69 6F 20 69 73 20 60 33 27 20 79 65 61 72 73 |kio is `3' years| 00000970: 20 6F 6C 64 20 6E 6F 77 2E 40 69 28 34 2C 69 2C | old now.@i(4,i,| 00000980: 33 29 40 68 22 26 76 2B 37 22 20 72 65 70 72 65 |3)@h"&v+7" repre| 00000990: 73 65 6E 74 73 20 43 61 72 6F 6C 69 6E 65 27 73 |sents Caroline's| 000009A0: 20 41 67 65 20 4E 6F 77 2E 40 68 53 69 6E 63 65 | Age Now.@hSince| 000009B0: 20 26 76 3D 33 2C 20 43 61 72 6F 6C 69 6E 65 27 | &v=3, Caroline'| 000009C0: 73 20 41 67 65 20 4E 6F 77 20 69 73 20 33 2B 37 |s Age Now is 3+7| 000009D0: 2C 20 6F 72 20 60 31 30 27 20 79 65 61 72 73 20 |, or `10' years | 000009E0: 6F 6C 64 2E 40 69 28 35 2C 69 2C 31 30 29 40 72 |old.@i(5,i,10)@r| 000009F0: 43 48 45 43 4B 40 70 52 65 72 65 61 64 20 74 68 |CHECK@pReread th| 00000A00: 65 20 70 72 6F 62 6C 65 6D 2E 20 43 68 65 63 6B |e problem. Check| 00000A10: 20 79 6F 75 72 20 61 6E 73 77 65 72 73 2E 20 45 | your answers. E| 00000A20: 76 61 6C 75 61 74 65 20 74 68 65 20 72 65 6D 61 |valuate the rema| 00000A30: 69 6E 69 6E 67 20 65 78 70 72 65 73 73 69 6F 6E |ining expression| 00000A40: 73 20 69 6E 20 74 68 65 20 67 72 69 64 2E 40 68 |s in the grid.@h| 00000A50: 53 75 62 73 74 69 74 75 74 65 20 66 6F 72 20 22 |Substitute for "| 00000A60: 26 76 22 20 69 6E 20 74 68 65 20 65 78 70 72 65 |&v" in the expre| 00000A70: 73 73 69 6F 6E 20 66 6F 72 20 4D 69 6B 69 6F 27 |ssion for Mikio'| 00000A80: 73 20 41 67 65 20 54 68 65 6E 2E 20 43 61 6C 63 |s Age Then. Calc| 00000A90: 75 6C 61 74 65 20 74 68 65 20 72 65 73 75 6C 74 |ulate the result| 00000AA0: 2E 40 68 4D 69 6B 69 6F 27 73 20 41 67 65 20 54 |.@hMikio's Age T| 00000AB0: 68 65 6E 20 69 73 20 22 26 76 2B 34 22 2C 20 73 |hen is "&v+4", s| 00000AC0: 6F 20 69 6E 20 34 20 79 65 61 72 73 20 68 65 20 |o in 4 years he | 00000AD0: 77 69 6C 6C 20 62 65 20 33 2B 34 2C 20 6F 72 20 |will be 3+4, or | 00000AE0: 60 37 27 20 79 65 61 72 73 20 6F 6C 64 2E 40 69 |`7' years old.@i| 00000AF0: 28 31 30 2C 69 2C 37 29 40 68 53 75 62 73 74 69 |(10,i,7)@hSubsti| 00000B00: 74 75 74 65 20 66 6F 72 20 22 26 76 22 20 69 6E |tute for "&v" in| 00000B10: 20 74 68 65 20 65 78 70 72 65 73 73 69 6F 6E 20 | the expression | 00000B20: 66 6F 72 20 43 61 72 6F 6C 69 6E 65 27 73 20 41 |for Caroline's A| 00000B30: 67 65 20 54 68 65 6E 2E 20 43 61 6C 63 75 6C 61 |ge Then. Calcula| 00000B40: 74 65 20 74 68 65 20 72 65 73 75 6C 74 2E 40 68 |te the result.@h| 00000B50: 43 61 72 6F 6C 69 6E 65 27 73 20 41 67 65 20 54 |Caroline's Age T| 00000B60: 68 65 6E 20 69 73 20 60 26 76 2B 31 31 27 2C 20 |hen is `&v+11', | 00000B70: 73 6F 20 69 6E 20 34 20 79 65 61 72 73 20 73 68 |so in 4 years sh| 00000B80: 65 20 77 69 6C 6C 20 62 65 20 33 2B 31 31 2C 20 |e will be 3+11, | 00000B90: 6F 72 20 60 31 34 27 20 79 65 61 72 73 20 6F 6C |or `14' years ol| 00000BA0: 64 2E 40 69 28 31 32 2C 69 2C 31 34 29 26 64 28 |d.@i(12,i,14)&d(| 00000BB0: 30 2C 43 68 65 63 6B 20 79 6F 75 72 20 77 6F 72 |0,Check your wor| 00000BC0: 6B 2E 20 32 20 74 69 6D 65 73 20 4D 69 6B 69 6F |k. 2 times Mikio| 00000BD0: 27 73 20 41 67 65 20 54 68 65 6E 20 73 68 6F 75 |'s Age Then shou| 00000BE0: 6C 64 20 65 71 75 61 6C 20 43 61 72 6F 6C 69 6E |ld equal Carolin| 00000BF0: 65 27 73 20 41 67 65 20 54 68 65 6E 2E 29 26 64 |e's Age Then.)&d| 00000C00: 28 30 2C 54 68 69 73 20 63 6F 6D 70 6C 65 74 65 |(0,This complete| 00000C10: 73 20 74 68 65 20 54 75 74 6F 72 69 61 6C 2E 20 |s the Tutorial. | 00000C20: 59 6F 75 20 61 72 65 20 6E 6F 77 20 72 65 61 64 |You are now read| 00000C30: 79 20 66 6F 72 20 4C 65 76 65 6C 20 32 2C 20 41 |y for Level 2, A| 00000C40: 67 65 20 50 72 6F 62 6C 65 6D 73 2E 29 7C 71 |ge Problems.)|q |
A@QAGE TUTORIAL -- PART TWO. HERE IS A SAMPLE AGE WORD PROBLEM.@DG10&D(0,)@JCAR OLINE IS 7 YEARS OLDER THAN MIKIO. IN 4 YEARS, SHE WILL BE TWICE AS OLD AS MIKIO . HOW OLD IS EACH PERSON NOW?&C(1,MIKIO) &C(2,CAROLINE)&D(3,AGE NOW)&D(6,DIFFEREN CE)&D(9,AGE THEN)@RREAD@PREAD THE WHOLE PROBLEM. THINK: WHAT ARE THE FACTS? WHAT IS BEING ASKED? (ANY KEY TO CONTIN UE.)@HWHAT ARE THE FACTS?&QCAROLINE IS 7 YEARS OLDER THAN MIKIO&Q&QIN 4 YEARS, S HE WILL BE TWICE AS OLD AS MIKIO&Q@HWHAT IS BEING ASKED? &HHOW OLD IS EACH PERSO N NOW?&H@I(0)@RDATA ENTRY@PUSING A VARIA BLE, REPRESENT MIKIO'S AGE NOW.@HSINCE M IKIO IS THE YOUNGER ONE, CHOOSE A VARIAB LE TO REPRESENT HIS AGE NOW.&QCAROLINE I S 7 YEARS OLDER THAN MIKIO&Q@HCHOOSE ANY VARIABLE SUCH AS `M' TO REPRESENT MIKIO 'S AGE NOW.@I(4,I,&V)@PREPRESENT CAROLIN E'S AGE NOW IN TERMS OF "&V", MIKIO'S AG E NOW.@HUSE ONE VARIABLE FOR BOTH PEOPLE 'S AGE NOW. REPRESENT CAROLINE'S AGE IN TERMS OF "&V" (MIKIO'S AGE).&QCAROLINE I S 7 YEARS OLDER THAN MIKIO&Q@HSINCE SHE IS 7 YEARS OLDER THAN MIKIO, "&V+7" WILL REPRESENT HER AGE NOW.@I(5,I,&V+7)@PIND ICATE THE DIFFERENCE BETWEEN AGE NOW AND AGE THEN BY ENTERING `+' OR `-' THE NUM BER OF YEARS.@H&HIN 4 YEARS&H, REFERS TO 4 YEARS IN THE FUTURE.@HUSE `+4' TO REP RESENT `IN 4 YEARS'.@I(7,I,+4)&D(8,+4)&C (13,AGE NOW + DIFFERENCE = AGE THEN)@PUS E THE EQUATION IDEA TO REPRESENT MIKIO'S AGE IN 4 YEARS (AGE THEN).&W(13)@HMIKIO IS "&V" NOW. ADD THE DIFFERENCE TO GET AGE THEN.@HMIKIO IS "&V" NOW AND IN 4 YE ARS HE WILL BE "&V+4" YEARS OLD.@I(10,I, &V+4)@PUSE THE EQUATION IDEA TO REPRESEN T CAROLINE'S AGE IN 4 YEARS (AGE THEN).@ HCAROLINE IS `&V+7' YEARS OLD NOW.@HCARO LINE IS `&V+7' YEARS OLD NOW. IN 4 YEARS SHE WILL BE `&V+7+4' OR `&V+11' YEARS O LD.@I(12,I,&V+11)@PUSE THE MULTIPLIER WI NDOW TO SHOW THE RELATION BETWEEN MIKIO' S AGE THEN AND CAROLINE'S AGE THEN.&QTWI CE AS OLD&Q@HIN 4 YEARS CAROLINE WILL BE 2 TIMES MIKIO'S AGE.@HENTER `2' AND PRE SS THE <RETURN> KEY.@I(11,I,2)@RCOMPUTE& C(13,(&V+4) * 2 = &V+11)@PUSE THE CA LCULATOR TO SOLVE THE EQUATION FOR "&V" (MIKIO'S AGE NOW).@HTHE CALCULATOR SOLVE S EQUATIONS FOR YOU AND DISPLAYS STEPS I N THE SOLUTION.@HREMEMBER TO MULTIPLY BO TH "&V" AND 4 BY 2. ISOLATE "&V" ON ONE SIDE OF THE EQUATION. ENTER `&V=3'.@I(13 ,I,&V=3)@PNOW YOU ARE READY TO ENTER YOU R ANSWERS TO THE PROBLEM IN THE GRID.&QH OW OLD IS EACH PERSON NOW?&Q@H"&V" REPRE SENTS MIKIO'S AGE NOW.@HSINCE `&V=3', MI KIO IS `3' YEARS OLD NOW.@I(4,I,3)@H"&V+ 7" REPRESENTS CAROLINE'S AGE NOW.@HSINCE &V=3, CAROLINE'S AGE NOW IS 3+7, OR `10 ' YEARS OLD.@I(5,I,10)@RCHECK@PREREAD TH E PROBLEM. CHECK YOUR ANSWERS. EVALUATE THE REMAINING EXPRESSIONS IN THE GRID.@H SUBSTITUTE FOR "&V" IN THE EXPRESSION FO R MIKIO'S AGE THEN. CALCULATE THE RESULT .@HMIKIO'S AGE THEN IS "&V+4", SO IN 4 Y EARS HE WILL BE 3+4, OR `7' YEARS OLD.@I (10,I,7)@HSUBSTITUTE FOR "&V" IN THE EXP RESSION FOR CAROLINE'S AGE THEN. CALCULA TE THE RESULT.@HCAROLINE'S AGE THEN IS ` &V+11', SO IN 4 YEARS SHE WILL BE 3+11, OR `14' YEARS OLD.@I(12,I,14)&D(0,CHECK YOUR WORK. 2 TIMES MIKIO'S AGE THEN SHOU LD EQUAL CAROLINE'S AGE THEN.)&D(0,THIS COMPLETES THE TUTORIAL. YOU ARE NOW READ Y FOR LEVEL 2, AGE PROBLEMS.)|Q
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