NUMB1L1
FILE INFORMATION
FILENAME(S): NUMB1L1
FILE TYPE(S): PRG
FILE SIZE: 6.7K
FIRST SEEN: 2025-10-19 22:49:00
APPEARS ON: 1 disk(s)
FILE HASH
20a15bb692729e57a6ad89664f43e07f8a1da32cd1c9f287b532f6b465f86e36
FOUND ON DISKS (1 DISKS)
| DISK TITLE | FILENAME | FILE TYPE | COLLECTION | TRACK | SECTOR | ACTIONS |
|---|---|---|---|---|---|---|
| HHM 100785 41S2 | NUMB1L1 | PRG | Radd Maxx | 25 | 7 | DOWNLOAD FILE |
FILE CONTENT & ANALYSIS
00000000: 20 41 40 71 4E 55 4D 42 45 52 20 54 55 54 4F 52 | A@qNUMBER TUTOR| 00000010: 49 41 4C 20 2D 2D 20 50 41 52 54 20 31 2E 20 54 |IAL -- PART 1. T| 00000020: 68 69 73 20 69 73 20 61 20 54 75 74 6F 72 69 61 |his is a Tutoria| 00000030: 6C 20 6F 6E 20 4E 75 6D 62 65 72 20 57 6F 72 64 |l on Number Word| 00000040: 20 50 72 6F 62 6C 65 6D 73 2E 20 49 66 20 79 6F | Problems. If yo| 00000050: 75 20 66 69 6E 64 20 61 20 71 75 65 73 74 69 6F |u find a questio| 00000060: 6E 20 63 6F 6E 66 75 73 69 6E 67 2C 20 75 73 65 |n confusing, use| 00000070: 20 74 68 65 20 60 48 45 4C 50 27 20 6B 65 79 2E | the `HELP' key.| 00000080: 40 64 67 30 38 40 70 49 66 20 74 68 65 20 54 75 |@dg08@pIf the Tu| 00000090: 74 6F 72 69 61 6C 20 73 65 65 6D 73 20 74 6F 6F |torial seems too| 000000A0: 20 65 61 73 79 2C 20 75 73 65 20 74 68 65 20 60 | easy, use the `| 000000B0: 53 6B 69 70 20 50 72 6F 62 6C 65 6D 27 20 6B 65 |Skip Problem' ke| 000000C0: 79 2E 20 28 41 6E 79 20 6B 65 79 20 74 6F 20 63 |y. (Any key to c| 000000D0: 6F 6E 74 69 6E 75 65 2E 29 40 68 54 68 65 72 65 |ontinue.)@hThere| 000000E0: 20 61 72 65 20 61 6C 77 61 79 73 20 74 77 6F 20 | are always two | 000000F0: 48 45 4C 50 27 73 20 61 76 61 69 6C 61 62 6C 65 |HELP's available| 00000100: 2E 20 54 68 65 20 73 65 63 6F 6E 64 20 74 69 6D |. The second tim| 00000110: 65 20 79 6F 75 20 70 72 65 73 73 20 74 68 65 20 |e you press the | 00000120: 48 45 4C 50 20 6B 65 79 20 79 6F 75 20 67 65 74 |HELP key you get| 00000130: 20 74 68 65 20 63 6F 72 72 65 63 74 20 61 6E 73 | the correct ans| 00000140: 77 65 72 2E 40 68 54 68 65 20 60 53 6B 69 70 20 |wer.@hThe `Skip | 00000150: 50 72 6F 62 6C 65 6D 27 20 6B 65 79 20 77 69 6C |Problem' key wil| 00000160: 6C 20 74 61 6B 65 20 79 6F 75 20 74 6F 20 74 68 |l take you to th| 00000170: 65 20 6E 65 78 74 20 70 72 6F 62 6C 65 6D 2C 20 |e next problem, | 00000180: 6F 72 20 74 6F 20 74 68 65 20 6E 65 78 74 20 70 |or to the next p| 00000190: 61 72 74 20 6F 66 20 74 68 65 20 54 75 74 6F 72 |art of the Tutor| 000001A0: 69 61 6C 2E 40 69 28 30 29 40 6A 4E 75 6D 62 65 |ial.@i(0)@jNumbe| 000001B0: 72 20 50 72 6F 62 6C 65 6D 73 20 69 6E 74 72 6F |r Problems intro| 000001C0: 64 75 63 65 20 61 6C 67 65 62 72 61 20 77 6F 72 |duce algebra wor| 000001D0: 64 20 70 72 6F 62 6C 65 6D 73 2E 26 64 28 30 2C |d problems.&d(0,| 000001E0: 4E 75 6D 62 65 72 20 50 72 6F 62 6C 65 6D 73 20 |Number Problems | 000001F0: 66 6F 63 75 73 20 6F 6E 20 74 72 61 6E 73 6C 61 |focus on transla| 00000200: 74 69 6E 67 20 66 72 6F 6D 20 45 6E 67 6C 69 73 |ting from Englis| 00000210: 68 20 69 6E 74 6F 20 66 6F 72 6D 75 6C 61 73 2E |h into formulas.| 00000220: 29 40 6A 54 72 61 6E 73 6C 61 74 65 20 74 68 65 |)@jTranslate the| 00000230: 20 73 65 6E 74 65 6E 63 65 73 20 69 6E 20 66 69 | sentences in fi| 00000240: 76 65 20 73 74 61 67 65 73 2E 40 72 31 2E 20 52 |ve stages.@r1. R| 00000250: 45 41 44 26 64 28 31 2C 31 2E 20 52 65 61 64 20 |EAD&d(1,1. Read | 00000260: 74 68 65 20 63 6F 6D 70 6C 65 74 65 20 70 72 6F |the complete pro| 00000270: 62 6C 65 6D 2E 29 26 64 28 30 2C 52 65 61 64 20 |blem.)&d(0,Read | 00000280: 65 76 65 72 79 74 68 69 6E 67 20 73 6C 6F 77 6C |everything slowl| 00000290: 79 20 61 6E 64 20 63 61 72 65 66 75 6C 6C 79 2E |y and carefully.| 000002A0: 20 54 68 69 6E 6B 3A 20 57 68 61 74 20 61 72 65 | Think: What are| 000002B0: 20 74 68 65 20 66 61 63 74 73 3F 20 57 68 61 74 | the facts? What| 000002C0: 20 69 73 20 62 65 69 6E 67 20 61 73 6B 65 64 3F | is being asked?| 000002D0: 29 40 72 32 2E 20 49 44 45 4E 54 49 46 59 20 54 |)@r2. IDENTIFY T| 000002E0: 48 45 20 55 4E 4B 4E 4F 57 4E 26 64 28 32 2C 32 |HE UNKNOWN&d(2,2| 000002F0: 2E 20 49 64 65 6E 74 69 66 79 20 74 68 65 20 75 |. Identify the u| 00000300: 6E 6B 6E 6F 77 6E 2E 29 26 64 28 30 2C 55 73 65 |nknown.)&d(0,Use| 00000310: 20 61 20 6C 65 74 74 65 72 2C 20 73 75 63 68 20 | a letter, such | 00000320: 61 73 20 60 78 27 5C 2C 20 74 6F 20 72 65 70 72 |as `x'\, to repr| 00000330: 65 73 65 6E 74 20 74 68 65 20 75 6E 6B 6E 6F 77 |esent the unknow| 00000340: 6E 20 71 75 61 6E 74 69 74 79 2E 29 40 72 33 2E |n quantity.)@r3.| 00000350: 20 53 55 42 44 49 56 49 44 45 26 64 28 33 2C 33 | SUBDIVIDE&d(3,3| 00000360: 2E 20 42 72 65 61 6B 20 74 68 65 20 73 65 6E 74 |. Break the sent| 00000370: 65 6E 63 65 20 69 6E 74 6F 20 70 61 72 74 73 2E |ence into parts.| 00000380: 29 26 64 28 30 2C 55 73 65 20 6B 65 79 20 77 6F |)&d(0,Use key wo| 00000390: 72 64 73 20 74 6F 20 64 69 76 69 64 65 20 73 65 |rds to divide se| 000003A0: 6E 74 65 6E 63 65 73 20 69 6E 20 70 61 72 74 73 |ntences in parts| 000003B0: 2E 20 57 6F 72 64 73 20 73 75 63 68 20 61 73 20 |. Words such as | 000003C0: 60 69 73 27 20 6F 72 20 60 65 71 75 61 6C 73 27 |`is' or `equals'| 000003D0: 20 74 72 61 6E 73 6C 61 74 65 20 61 73 20 60 3D | translate as `=| 000003E0: 27 2E 29 26 64 28 30 2C 54 68 65 20 60 3D 27 20 |'.)&d(0,The `=' | 000003F0: 73 69 67 6E 20 73 68 6F 77 73 20 74 68 65 20 74 |sign shows the t| 00000400: 77 6F 20 73 69 64 65 73 20 6F 66 20 74 68 65 20 |wo sides of the | 00000410: 65 71 75 61 74 69 6F 6E 2E 20 55 73 65 20 70 61 |equation. Use pa| 00000420: 72 65 6E 74 68 65 73 65 73 5C 6E 28 20 29 20 74 |rentheses\n( ) t| 00000430: 6F 20 73 68 6F 77 20 74 68 65 20 73 69 64 65 73 |o show the sides| 00000440: 20 69 6E 20 74 68 65 20 73 65 6E 74 65 6E 63 65 | in the sentence| 00000450: 2E 29 40 72 34 2E 20 42 45 47 49 4E 20 54 52 41 |.)@r4. BEGIN TRA| 00000460: 4E 53 4C 41 54 49 4E 47 26 64 28 34 2C 34 2E 20 |NSLATING&d(4,4. | 00000470: 57 6F 72 6B 20 69 6E 73 69 64 65 20 74 68 65 20 |Work inside the | 00000480: 28 20 29 20 66 69 72 73 74 2E 29 26 64 28 30 2C |( ) first.)&d(0,| 00000490: 57 6F 72 64 73 20 6C 69 6B 65 20 60 74 69 6D 65 |Words like `time| 000004A0: 73 27 20 61 6E 64 20 60 70 72 6F 64 75 63 74 20 |s' and `product | 000004B0: 6F 66 27 20 69 6E 64 69 63 61 74 65 20 6D 75 6C |of' indicate mul| 000004C0: 74 69 70 6C 69 63 61 74 69 6F 6E 2E 29 40 72 35 |tiplication.)@r5| 000004D0: 2E 20 46 49 4E 49 53 48 20 54 52 41 4E 53 4C 41 |. FINISH TRANSLA| 000004E0: 54 49 4E 47 26 64 28 35 2C 35 2E 20 46 69 6E 69 |TING&d(5,5. Fini| 000004F0: 73 68 20 74 68 65 20 74 72 61 6E 73 6C 61 74 69 |sh the translati| 00000500: 6F 6E 2E 29 26 64 28 30 2C 57 6F 72 64 73 20 6C |on.)&d(0,Words l| 00000510: 69 6B 65 20 60 69 6E 63 72 65 61 73 65 64 20 62 |ike `increased b| 00000520: 79 27 20 61 6E 64 20 60 73 75 6D 20 6F 66 27 20 |y' and `sum of' | 00000530: 69 6E 64 69 63 61 74 65 20 61 64 64 69 74 69 6F |indicate additio| 00000540: 6E 2E 29 40 64 67 30 38 40 6A 48 65 72 65 20 61 |n.)@dg08@jHere a| 00000550: 72 65 20 70 61 72 74 73 20 6F 66 20 73 65 6E 74 |re parts of sent| 00000560: 65 6E 63 65 73 20 74 68 61 74 20 6D 69 67 68 74 |ences that might| 00000570: 20 61 70 70 65 61 72 20 69 6E 20 6E 75 6D 62 65 | appear in numbe| 00000580: 72 20 77 6F 72 64 20 70 72 6F 62 6C 65 6D 73 2E |r word problems.| 00000590: 20 55 73 65 20 74 68 65 20 6C 65 74 74 65 72 20 | Use the letter | 000005A0: 60 78 27 20 61 73 20 74 68 65 20 76 61 72 69 61 |`x' as the varia| 000005B0: 62 6C 65 2E 26 64 28 30 2C 29 40 72 31 2E 20 52 |ble.&d(0,)@r1. R| 000005C0: 45 41 44 26 63 28 31 2C 33 20 74 69 6D 65 73 20 |EAD&c(1,3 times | 000005D0: 74 68 65 20 6E 75 6D 62 65 72 20 22 78 22 2C 20 |the number "x", | 000005E0: 69 6E 63 72 65 61 73 65 64 20 62 79 20 36 2E 29 |increased by 6.)| 000005F0: 26 64 28 30 2C 52 65 61 64 20 74 68 65 20 73 65 |&d(0,Read the se| 00000600: 6E 74 65 6E 63 65 20 73 6C 6F 77 6C 79 20 61 6E |ntence slowly an| 00000610: 64 20 63 61 72 65 66 75 6C 6C 79 2E 20 4D 61 6B |d carefully. Mak| 00000620: 65 20 73 75 72 65 20 79 6F 75 20 75 6E 64 65 72 |e sure you under| 00000630: 73 74 61 6E 64 20 65 76 65 72 79 74 68 69 6E 67 |stand everything| 00000640: 2E 29 40 72 32 2E 20 49 44 45 4E 54 49 46 59 20 |.)@r2. IDENTIFY | 00000650: 54 48 45 20 55 4E 4B 4E 4F 57 4E 26 64 28 32 2C |THE UNKNOWN&d(2,| 00000660: 20 20 20 20 20 20 33 20 74 69 6D 65 73 20 29 40 | 3 times )@| 00000670: 70 52 65 70 6C 61 63 65 20 74 68 65 20 70 68 72 |pReplace the phr| 00000680: 61 73 65 20 60 74 68 65 20 6E 75 6D 62 65 72 20 |ase `the number | 00000690: 22 78 22 20 27 20 77 69 74 68 20 60 78 27 2E 20 |"x" ' with `x'. | 000006A0: 52 65 6D 65 6D 62 65 72 2C 20 75 73 65 20 48 45 |Remember, use HE| 000006B0: 4C 50 20 69 66 20 79 6F 75 20 6E 65 65 64 20 69 |LP if you need i| 000006C0: 74 2E 40 68 55 73 65 20 74 68 65 20 6C 65 74 74 |t.@hUse the lett| 000006D0: 65 72 20 60 78 27 20 61 73 20 61 20 76 61 72 69 |er `x' as a vari| 000006E0: 61 62 6C 65 20 74 6F 20 72 65 70 72 65 73 65 6E |able to represen| 000006F0: 74 20 74 68 65 20 75 6E 6B 6E 6F 77 6E 2E 40 68 |t the unknown.@h| 00000700: 45 6E 74 65 72 20 74 68 65 20 6C 65 74 74 65 72 |Enter the letter| 00000710: 20 60 78 27 20 61 6E 64 20 70 72 65 73 73 20 74 | `x' and press t| 00000720: 68 65 20 3C 52 65 74 75 72 6E 3E 20 6B 65 79 2E |he <Return> key.| 00000730: 40 69 28 32 2C 64 30 2C 29 26 63 28 32 2C 33 20 |@i(2,d0,)&c(2,3 | 00000740: 74 69 6D 65 73 20 78 2C 20 69 6E 63 72 65 61 73 |times x, increas| 00000750: 65 64 20 62 79 20 36 2E 29 40 72 33 2E 20 53 55 |ed by 6.)@r3. SU| 00000760: 42 44 49 56 49 44 45 26 64 28 30 2C 29 26 63 28 |BDIVIDE&d(0,)&c(| 00000770: 33 2C 28 20 33 20 74 69 6D 65 73 20 78 20 29 20 |3,( 3 times x ) | 00000780: 69 6E 63 72 65 61 73 65 64 20 62 79 20 36 2E 29 |increased by 6.)| 00000790: 26 64 28 30 2C 4E 6F 74 69 63 65 20 74 68 65 20 |&d(0,Notice the | 000007A0: 70 68 72 61 73 69 6E 67 20 69 6E 20 74 68 65 20 |phrasing in the | 000007B0: 73 65 6E 74 65 6E 63 65 2E 20 43 6F 6D 6D 61 73 |sentence. Commas| 000007C0: 20 61 72 65 20 61 20 63 6C 75 65 20 74 6F 20 67 | are a clue to g| 000007D0: 72 6F 75 70 69 6E 67 2E 29 40 72 34 2E 20 42 45 |rouping.)@r4. BE| 000007E0: 47 49 4E 20 54 52 41 4E 53 4C 41 54 49 4E 47 26 |GIN TRANSLATING&| 000007F0: 64 28 34 2C 20 20 20 20 20 20 20 33 20 29 40 70 |d(4, 3 )@p| 00000800: 57 6F 72 6B 20 6F 6E 20 74 68 65 20 70 68 72 61 |Work on the phra| 00000810: 73 65 20 69 6E 73 69 64 65 20 70 61 72 65 6E 74 |se inside parent| 00000820: 68 65 73 65 73 20 66 69 72 73 74 3A 20 60 74 69 |heses first: `ti| 00000830: 6D 65 73 27 20 69 6E 64 69 63 61 74 65 73 20 6D |mes' indicates m| 00000840: 75 6C 74 69 70 6C 69 63 61 74 69 6F 6E 2E 40 68 |ultiplication.@h| 00000850: 55 73 65 20 74 68 65 20 6D 75 6C 74 69 70 6C 69 |Use the multipli| 00000860: 63 61 74 69 6F 6E 20 73 69 67 6E 2C 20 60 2A 27 |cation sign, `*'| 00000870: 2C 20 74 6F 20 74 72 61 6E 73 6C 61 74 65 20 22 |, to translate "| 00000880: 74 69 6D 65 73 22 2E 40 68 45 6E 74 65 72 20 60 |times".@hEnter `| 00000890: 2A 20 78 27 20 61 6E 64 20 70 72 65 73 73 20 74 |* x' and press t| 000008A0: 68 65 20 3C 52 65 74 75 72 6E 3E 20 6B 65 79 2E |he <Return> key.| 000008B0: 40 69 28 34 2C 64 30 2C 29 26 63 28 34 2C 28 33 |@i(4,d0,)&c(4,(3| 000008C0: 20 2A 20 78 29 20 69 6E 63 72 65 61 73 65 64 20 | * x) increased | 000008D0: 62 79 20 36 2E 29 40 72 35 2E 20 46 49 4E 49 53 |by 6.)@r5. FINIS| 000008E0: 48 20 54 52 41 4E 53 4C 41 54 49 4E 47 26 64 28 |H TRANSLATING&d(| 000008F0: 30 2C 29 26 63 28 35 2C 28 33 20 2A 20 78 29 29 |0,)&c(5,(3 * x))| 00000900: 40 70 54 68 65 20 77 6F 72 64 73 20 60 69 6E 63 |@pThe words `inc| 00000910: 72 65 61 73 65 64 20 62 79 27 20 69 6E 64 69 63 |reased by' indic| 00000920: 61 74 65 20 61 64 64 69 74 69 6F 6E 2E 40 68 55 |ate addition.@hU| 00000930: 73 65 20 74 68 65 20 61 64 64 69 74 69 6F 6E 20 |se the addition | 00000940: 73 69 67 6E 2C 20 60 2B 27 2C 20 74 6F 20 74 72 |sign, `+', to tr| 00000950: 61 6E 73 6C 61 74 65 20 22 69 6E 63 72 65 61 73 |anslate "increas| 00000960: 65 64 20 62 79 22 20 2E 40 68 45 6E 74 65 72 20 |ed by" .@hEnter | 00000970: 60 2B 36 27 20 61 6E 64 20 70 72 65 73 73 20 74 |`+6' and press t| 00000980: 68 65 20 3C 52 65 74 75 72 6E 3E 20 6B 65 79 2E |he <Return> key.| 00000990: 40 69 28 35 2C 6A 2C 33 78 2B 36 29 40 73 20 40 |@i(5,j,3x+6)@s @| 000009A0: 64 67 30 38 40 72 31 2E 20 52 45 41 44 26 63 28 |dg08@r1. READ&c(| 000009B0: 31 2C 36 20 74 69 6D 65 73 20 74 68 65 20 6E 75 |1,6 times the nu| 000009C0: 6D 62 65 72 20 22 78 22 2C 20 64 65 63 72 65 61 |mber "x", decrea| 000009D0: 73 65 64 20 62 79 20 31 30 2E 29 26 64 28 30 2C |sed by 10.)&d(0,| 000009E0: 52 65 61 64 20 74 68 65 20 73 65 6E 74 65 6E 63 |Read the sentenc| 000009F0: 65 20 73 6C 6F 77 6C 79 2E 20 4D 61 6B 65 20 73 |e slowly. Make s| 00000A00: 75 72 65 20 79 6F 75 20 75 6E 64 65 72 73 74 61 |ure you understa| 00000A10: 6E 64 20 65 76 65 72 79 74 68 69 6E 67 2E 29 26 |nd everything.)&| 00000A20: 64 28 32 2C 20 20 20 20 20 36 20 74 69 6D 65 73 |d(2, 6 times| 00000A30: 20 29 40 72 32 2E 20 49 44 45 4E 54 49 46 59 20 | )@r2. IDENTIFY | 00000A40: 54 48 45 20 55 4E 4B 4E 4F 57 4E 40 70 54 68 65 |THE UNKNOWN@pThe| 00000A50: 20 70 68 72 61 73 65 20 60 74 68 65 20 6E 75 6D | phrase `the num| 00000A60: 62 65 72 20 22 78 22 20 27 20 69 73 20 72 65 70 |ber "x" ' is rep| 00000A70: 6C 61 63 65 64 20 77 69 74 68 20 60 78 27 2E 40 |laced with `x'.@| 00000A80: 68 55 73 65 20 74 68 65 20 6C 65 74 74 65 72 20 |hUse the letter | 00000A90: 27 78 27 20 61 73 20 61 20 76 61 72 69 61 62 6C |'x' as a variabl| 00000AA0: 65 20 74 6F 20 72 65 70 72 65 73 65 6E 74 20 74 |e to represent t| 00000AB0: 68 65 20 75 6E 6B 6E 6F 77 6E 2E 40 68 45 6E 74 |he unknown.@hEnt| 00000AC0: 65 72 20 74 68 65 20 6C 65 74 74 65 72 20 27 78 |er the letter 'x| 00000AD0: 27 20 61 6E 64 20 70 72 65 73 73 20 74 68 65 20 |' and press the | 00000AE0: 3C 52 65 74 75 72 6E 3E 20 6B 65 79 2E 40 69 28 |<Return> key.@i(| 00000AF0: 32 2C 64 30 2C 29 26 63 28 32 2C 36 20 74 69 6D |2,d0,)&c(2,6 tim| 00000B00: 65 73 20 78 2C 20 64 65 63 72 65 61 73 65 64 20 |es x, decreased | 00000B10: 62 79 20 31 30 2E 29 40 72 33 2E 20 53 55 42 44 |by 10.)@r3. SUBD| 00000B20: 49 56 49 44 45 26 64 28 30 2C 29 26 63 28 33 2C |IVIDE&d(0,)&c(3,| 00000B30: 28 36 20 74 69 6D 65 73 20 78 29 20 64 65 63 72 |(6 times x) decr| 00000B40: 65 61 73 65 64 20 62 79 20 31 30 2E 29 26 64 28 |eased by 10.)&d(| 00000B50: 30 2C 4E 6F 74 69 63 65 20 74 68 65 20 70 68 72 |0,Notice the phr| 00000B60: 61 73 69 6E 67 20 69 6E 20 74 68 65 20 73 65 6E |asing in the sen| 00000B70: 74 65 6E 63 65 2E 20 43 6F 6D 6D 61 73 20 61 72 |tence. Commas ar| 00000B80: 65 20 61 20 63 6C 75 65 20 74 6F 20 74 68 65 20 |e a clue to the | 00000B90: 67 72 6F 75 70 69 6E 67 2E 29 40 72 34 2E 20 42 |grouping.)@r4. B| 00000BA0: 45 47 49 4E 20 54 52 41 4E 53 4C 41 54 49 4E 47 |EGIN TRANSLATING| 00000BB0: 26 64 28 34 2C 20 20 20 20 20 20 20 20 36 20 29 |&d(4, 6 )| 00000BC0: 40 70 57 6F 72 6B 20 6F 6E 20 74 68 65 20 70 68 |@pWork on the ph| 00000BD0: 72 61 73 65 20 69 6E 73 69 64 65 20 70 61 72 65 |rase inside pare| 00000BE0: 6E 74 68 65 73 65 73 20 66 69 72 73 74 3A 20 60 |ntheses first: `| 00000BF0: 74 69 6D 65 73 27 20 69 6E 64 69 63 61 74 65 73 |times' indicates| 00000C00: 20 6D 75 6C 74 69 70 6C 69 63 61 74 69 6F 6E 2E | multiplication.| 00000C10: 40 68 55 73 65 20 74 68 65 20 6D 75 6C 74 69 70 |@hUse the multip| 00000C20: 6C 69 63 61 74 69 6F 6E 20 73 69 67 6E 2C 20 60 |lication sign, `| 00000C30: 2A 27 2C 20 74 6F 20 74 72 61 6E 73 6C 61 74 65 |*', to translate| 00000C40: 20 22 74 69 6D 65 73 22 2E 40 68 45 6E 74 65 72 | "times".@hEnter| 00000C50: 20 60 2A 20 78 27 20 61 6E 64 20 70 72 65 73 73 | `* x' and press| 00000C60: 20 74 68 65 20 3C 52 65 74 75 72 6E 3E 20 6B 65 | the <Return> ke| 00000C70: 79 2E 40 69 28 34 2C 64 30 2C 29 26 63 28 34 2C |y.@i(4,d0,)&c(4,| 00000C80: 28 36 20 2A 20 78 29 20 64 65 63 72 65 61 73 65 |(6 * x) decrease| 00000C90: 64 20 62 79 20 31 30 2E 29 40 72 35 2E 20 46 49 |d by 10.)@r5. FI| 00000CA0: 4E 49 53 48 20 54 52 41 4E 53 4C 41 54 49 4E 47 |NISH TRANSLATING| 00000CB0: 26 64 28 30 2C 29 26 63 28 35 2C 28 36 20 2A 20 |&d(0,)&c(5,(6 * | 00000CC0: 78 29 20 29 40 70 54 68 65 20 77 6F 72 64 73 20 |x) )@pThe words | 00000CD0: 60 64 65 63 72 65 61 73 65 64 20 62 79 27 20 69 |`decreased by' i| 00000CE0: 6E 64 69 63 61 74 65 20 73 75 62 74 72 61 63 74 |ndicate subtract| 00000CF0: 69 6F 6E 2E 40 68 55 73 65 20 74 68 65 20 73 75 |ion.@hUse the su| 00000D00: 62 74 72 61 63 74 69 6F 6E 20 73 69 67 6E 2C 20 |btraction sign, | 00000D10: 60 2D 27 2C 20 74 6F 20 74 72 61 6E 73 6C 61 74 |`-', to translat| 00000D20: 65 20 22 64 65 63 72 65 61 73 65 64 20 62 79 22 |e "decreased by"| 00000D30: 2E 40 68 45 6E 74 65 72 20 20 60 2D 20 31 30 27 |.@hEnter `- 10'| 00000D40: 20 61 6E 64 20 70 72 65 73 73 20 74 68 65 20 3C | and press the <| 00000D50: 52 65 74 75 72 6E 3E 20 6B 65 79 2E 40 69 28 35 |Return> key.@i(5| 00000D60: 2C 6A 2C 36 78 2D 31 30 29 40 64 67 30 38 40 72 |,j,6x-10)@dg08@r| 00000D70: 31 2E 20 52 45 41 44 26 63 28 31 2C 54 68 65 20 |1. READ&c(1,The | 00000D80: 70 72 6F 64 75 63 74 20 6F 66 20 37 20 61 6E 64 |product of 7 and| 00000D90: 20 61 20 6E 75 6D 62 65 72 20 69 73 20 35 36 2E | a number is 56.| 00000DA0: 29 26 64 28 30 2C 29 26 64 28 32 2C 20 20 20 20 |)&d(0,)&d(2, | 00000DB0: 54 68 65 20 70 72 6F 64 75 63 74 20 6F 66 20 37 |The product of 7| 00000DC0: 20 61 6E 64 20 29 40 72 32 2E 20 49 44 45 4E 54 | and )@r2. IDENT| 00000DD0: 49 46 59 20 54 48 45 20 55 4E 4B 4E 4F 57 4E 40 |IFY THE UNKNOWN@| 00000DE0: 70 52 65 70 6C 61 63 65 20 22 61 20 6E 75 6D 62 |pReplace "a numb| 00000DF0: 65 72 22 20 77 69 74 68 20 74 68 65 20 76 61 72 |er" with the var| 00000E00: 69 61 62 6C 65 20 60 78 27 2E 20 52 65 6D 65 6D |iable `x'. Remem| 00000E10: 62 65 72 2C 20 61 73 6B 20 66 6F 72 20 48 45 4C |ber, ask for HEL| 00000E20: 50 20 69 66 20 79 6F 75 20 6E 65 65 64 20 69 74 |P if you need it| 00000E30: 2E 40 68 54 68 65 20 45 6E 67 6C 69 73 68 20 70 |.@hThe English p| 00000E40: 68 72 61 73 65 20 22 61 20 6E 75 6D 62 65 72 22 |hrase "a number"| 00000E50: 20 69 73 20 72 65 70 6C 61 63 65 64 20 62 79 20 | is replaced by | 00000E60: 61 20 76 61 72 69 61 62 6C 65 3A 20 60 78 27 2E |a variable: `x'.| 00000E70: 40 68 45 6E 74 65 72 20 60 78 27 20 61 6E 64 20 |@hEnter `x' and | 00000E80: 70 72 65 73 73 20 74 68 65 20 3C 52 65 74 75 72 |press the <Retur| 00000E90: 6E 3E 20 6B 65 79 2E 40 69 28 32 2C 64 30 2C 29 |n> key.@i(2,d0,)| 00000EA0: 26 63 28 32 2C 54 68 65 20 70 72 6F 64 75 63 74 |&c(2,The product| 00000EB0: 20 6F 66 20 37 20 61 6E 64 20 78 20 69 73 20 35 | of 7 and x is 5| 00000EC0: 36 2E 29 40 72 33 2E 20 53 55 42 44 49 56 49 44 |6.)@r3. SUBDIVID| 00000ED0: 45 26 63 28 33 2C 28 20 54 68 65 20 70 72 6F 64 |E&c(3,( The prod| 00000EE0: 75 63 74 20 6F 66 20 37 20 61 6E 64 20 78 20 29 |uct of 7 and x )| 00000EF0: 20 3D 20 35 36 2E 29 26 64 28 30 2C 54 68 65 20 | = 56.)&d(0,The | 00000F00: 77 6F 72 64 20 22 69 73 22 20 69 73 20 72 65 70 |word "is" is rep| 00000F10: 6C 61 63 65 64 20 62 79 20 60 3D 27 2E 20 54 68 |laced by `='. Th| 00000F20: 69 73 20 73 70 6C 69 74 73 20 74 68 65 20 73 65 |is splits the se| 00000F30: 6E 74 65 6E 63 65 20 69 6E 74 6F 20 74 68 65 20 |ntence into the | 00000F40: 74 77 6F 20 73 69 64 65 73 20 6F 66 20 74 68 65 |two sides of the| 00000F50: 20 65 71 75 61 74 69 6F 6E 2E 29 26 64 28 30 2C | equation.)&d(0,| 00000F60: 54 68 65 20 65 71 75 61 6C 20 73 69 67 6E 20 22 |The equal sign "| 00000F70: 20 3D 20 22 20 64 69 76 69 64 65 73 20 6D 61 74 | = " divides mat| 00000F80: 68 65 6D 61 74 69 63 61 6C 20 65 71 75 61 74 69 |hematical equati| 00000F90: 6F 6E 73 20 69 6E 20 74 77 6F 20 70 61 72 74 73 |ons in two parts| 00000FA0: 2E 29 40 72 35 2E 20 46 49 4E 49 53 48 20 54 52 |.)@r5. FINISH TR| 00000FB0: 41 4E 53 4C 41 54 49 4E 47 26 64 28 34 2C 20 20 |ANSLATING&d(4, | 00000FC0: 20 20 20 20 37 20 29 2E 40 70 54 68 65 20 70 68 | 7 ).@pThe ph| 00000FD0: 72 61 73 65 20 22 74 68 65 20 70 72 6F 64 75 63 |rase "the produc| 00000FE0: 74 20 6F 66 22 20 69 6E 64 69 63 61 74 65 73 20 |t of" indicates | 00000FF0: 6D 75 6C 74 69 70 6C 69 63 61 74 69 6F 6E 2E 40 |multiplication.@| 00001000: 68 43 6F 6D 70 6C 65 74 65 20 74 68 65 20 74 72 |hComplete the tr| 00001010: 61 6E 73 6C 61 74 69 6F 6E 2E 40 68 45 6E 74 65 |anslation.@hEnte| 00001020: 72 20 60 2A 20 78 20 3D 20 35 36 27 20 61 6E 64 |r `* x = 56' and| 00001030: 20 70 72 65 73 73 20 74 68 65 20 3C 52 65 74 75 | press the <Retu| 00001040: 72 6E 3E 20 6B 65 79 2E 40 69 28 34 2C 6A 2C 37 |rn> key.@i(4,j,7| 00001050: 78 3D 35 36 29 20 40 71 4E 55 4D 42 45 52 20 54 |x=56) @qNUMBER T| 00001060: 55 54 4F 52 49 41 4C 20 2D 2D 20 50 41 52 54 20 |UTORIAL -- PART | 00001070: 32 2E 20 48 65 72 65 20 69 73 20 61 20 63 6F 6D |2. Here is a com| 00001080: 70 6C 65 74 65 20 70 72 6F 62 6C 65 6D 20 74 6F |plete problem to| 00001090: 20 73 68 6F 77 20 68 6F 77 20 74 6F 20 75 73 65 | show how to use| 000010A0: 20 61 20 67 72 69 64 2E 40 64 67 30 36 26 64 28 | a grid.@dg06&d(| 000010B0: 32 2C 45 51 55 41 54 49 4F 4E 29 26 64 28 35 2C |2,EQUATION)&d(5,| 000010C0: 43 48 45 43 4B 29 40 72 26 64 28 30 2C 29 40 6A |CHECK)@r&d(0,)@j| 000010D0: 49 66 20 31 30 20 69 73 20 61 64 64 65 64 20 74 |If 10 is added t| 000010E0: 6F 20 32 20 74 69 6D 65 73 20 73 6F 6D 65 20 6E |o 2 times some n| 000010F0: 75 6D 62 65 72 2C 20 74 68 65 20 72 65 73 75 6C |umber, the resul| 00001100: 74 20 69 73 20 32 38 2E 20 57 68 61 74 20 69 73 |t is 28. What is| 00001110: 20 74 68 65 20 6E 75 6D 62 65 72 3F 40 72 52 45 | the number?@rRE| 00001120: 41 44 40 70 52 65 61 64 20 74 68 65 20 70 72 6F |AD@pRead the pro| 00001130: 62 6C 65 6D 20 73 6C 6F 77 6C 79 20 61 6E 64 20 |blem slowly and | 00001140: 63 61 72 65 66 75 6C 6C 79 2E 20 57 68 61 74 20 |carefully. What | 00001150: 69 73 20 62 65 69 6E 67 20 61 73 6B 65 64 3F 20 |is being asked? | 00001160: 50 72 65 73 73 20 61 6E 79 20 6B 65 79 20 74 6F |Press any key to| 00001170: 20 63 6F 6E 74 69 6E 75 65 2E 40 68 57 68 61 74 | continue.@hWhat| 00001180: 20 69 73 20 62 65 69 6E 67 20 61 73 6B 65 64 3F | is being asked?| 00001190: 20 59 6F 75 20 61 72 65 20 62 65 69 6E 67 20 61 | You are being a| 000011A0: 73 6B 65 64 20 74 6F 20 66 69 6E 64 20 74 68 65 |sked to find the| 000011B0: 20 75 6E 6B 6E 6F 77 6E 20 6E 75 6D 62 65 72 2E | unknown number.| 000011C0: 40 68 54 68 65 20 70 72 6F 62 6C 65 6D 20 69 73 |@hThe problem is| 000011D0: 20 74 6F 20 66 69 6E 64 20 26 68 73 6F 6D 65 20 | to find &hsome | 000011E0: 6E 75 6D 62 65 72 26 68 2E 26 71 57 68 61 74 20 |number&h.&qWhat | 000011F0: 69 73 20 74 68 65 20 6E 75 6D 62 65 72 3F 26 71 |is the number?&q| 00001200: 40 69 28 30 29 40 72 50 4C 41 4E 40 70 49 64 65 |@i(0)@rPLAN@pIde| 00001210: 6E 74 69 66 79 20 74 68 65 20 75 6E 6B 6E 6F 77 |ntify the unknow| 00001220: 6E 3A 20 43 68 6F 6F 73 65 20 61 20 76 61 72 69 |n: Choose a vari| 00001230: 61 62 6C 65 20 74 6F 20 72 65 70 72 65 73 65 6E |able to represen| 00001240: 74 20 74 68 65 20 75 6E 6B 6E 6F 77 6E 20 6E 75 |t the unknown nu| 00001250: 6D 62 65 72 2E 40 68 55 73 65 20 61 6E 79 20 6C |mber.@hUse any l| 00001260: 65 74 74 65 72 20 61 73 20 61 20 76 61 72 69 61 |etter as a varia| 00001270: 62 6C 65 20 74 6F 20 72 65 70 72 65 73 65 6E 74 |ble to represent| 00001280: 20 74 68 65 20 75 6E 6B 6E 6F 77 6E 20 6E 75 6D | the unknown num| 00001290: 62 65 72 2E 40 68 43 68 6F 6F 73 65 20 61 6E 79 |ber.@hChoose any| 000012A0: 20 6C 65 74 74 65 72 2C 20 73 75 63 68 20 61 73 | letter, such as| 000012B0: 20 60 6E 27 20 74 6F 20 72 65 70 72 65 73 65 6E | `n' to represen| 000012C0: 74 20 74 68 65 20 75 6E 6B 6E 6F 77 6E 20 6E 75 |t the unknown nu| 000012D0: 6D 62 65 72 2E 40 69 28 31 2C 69 2C 26 76 29 26 |mber.@i(1,i,&v)&| 000012E0: 64 28 31 2C 54 68 65 20 75 6E 6B 6E 6F 77 6E 20 |d(1,The unknown | 000012F0: 6E 75 6D 62 65 72 20 69 73 3A 20 20 26 76 29 26 |number is: &v)&| 00001300: 64 28 30 2C 55 73 65 20 74 68 65 20 66 69 76 65 |d(0,Use the five| 00001310: 20 73 74 65 70 73 20 74 6F 20 74 72 61 6E 73 6C | steps to transl| 00001320: 61 74 65 20 74 68 65 20 66 69 72 73 74 20 70 68 |ate the first ph| 00001330: 72 61 73 65 20 69 6E 74 6F 20 61 20 6D 61 74 68 |rase into a math| 00001340: 65 6D 61 74 69 63 61 6C 20 65 78 70 72 65 73 73 |ematical express| 00001350: 69 6F 6E 2E 26 71 49 66 20 31 30 20 69 73 20 61 |ion.&qIf 10 is a| 00001360: 64 64 65 64 20 74 6F 20 32 20 74 69 6D 65 73 20 |dded to 2 times | 00001370: 73 6F 6D 65 20 6E 75 6D 62 65 72 26 71 29 40 64 |some number&q)@d| 00001380: 67 30 38 26 64 28 31 2C 49 66 20 31 30 20 69 73 |g08&d(1,If 10 is| 00001390: 20 61 64 64 65 64 20 74 6F 20 32 20 74 69 6D 65 | added to 2 time| 000013A0: 73 20 73 6F 6D 65 20 6E 75 6D 62 65 72 29 40 72 |s some number)@r| 000013B0: 31 2E 20 52 45 41 44 26 64 28 30 2C 29 40 72 32 |1. READ&d(0,)@r2| 000013C0: 2E 20 49 44 45 4E 54 49 46 59 20 54 48 45 20 55 |. IDENTIFY THE U| 000013D0: 4E 4B 4E 4F 57 4E 26 64 28 32 2C 20 20 20 20 49 |NKNOWN&d(2, I| 000013E0: 66 20 31 30 20 69 73 20 61 64 64 65 64 20 74 6F |f 10 is added to| 000013F0: 20 32 20 74 69 6D 65 73 20 29 40 70 52 65 70 6C | 2 times )@pRepl| 00001400: 61 63 65 20 22 73 6F 6D 65 20 6E 75 6D 62 65 72 |ace "some number| 00001410: 22 20 77 69 74 68 20 60 26 76 27 2E 40 68 55 73 |" with `&v'.@hUs| 00001420: 65 20 74 68 65 20 6C 65 74 74 65 72 20 60 26 76 |e the letter `&v| 00001430: 27 20 74 6F 20 72 65 70 72 65 73 65 6E 74 20 74 |' to represent t| 00001440: 68 65 20 75 6E 6B 6E 6F 77 6E 2E 40 68 45 6E 74 |he unknown.@hEnt| 00001450: 65 72 20 74 68 65 20 6C 65 74 74 65 72 20 60 26 |er the letter `&| 00001460: 76 27 20 61 6E 64 20 70 72 65 73 73 20 74 68 65 |v' and press the| 00001470: 20 3C 52 65 74 75 72 6E 3E 20 6B 65 79 2E 40 69 | <Return> key.@i| 00001480: 28 32 2C 64 30 2C 29 26 63 28 32 2C 49 66 20 31 |(2,d0,)&c(2,If 1| 00001490: 30 20 69 73 20 61 64 64 65 64 20 74 6F 20 32 20 |0 is added to 2 | 000014A0: 74 69 6D 65 73 20 26 76 29 40 72 33 2E 20 53 55 |times &v)@r3. SU| 000014B0: 42 44 49 56 49 44 45 26 64 28 30 2C 29 26 63 28 |BDIVIDE&d(0,)&c(| 000014C0: 33 2C 49 66 20 31 30 20 69 73 20 61 64 64 65 64 |3,If 10 is added| 000014D0: 20 74 6F 20 28 32 20 74 69 6D 65 73 20 26 76 29 | to (2 times &v)| 000014E0: 29 26 64 28 30 2C 29 40 72 34 2E 20 42 45 47 49 |)&d(0,)@r4. BEGI| 000014F0: 4E 20 54 52 41 4E 53 4C 41 54 49 4E 47 26 64 28 |N TRANSLATING&d(| 00001500: 34 2C 20 20 20 20 20 49 66 20 31 30 20 69 73 20 |4, If 10 is | 00001510: 61 64 64 65 64 20 74 6F 20 20 32 20 29 40 70 57 |added to 2 )@pW| 00001520: 6F 72 6B 20 6F 6E 20 74 68 65 20 70 61 72 74 20 |ork on the part | 00001530: 69 6E 73 69 64 65 20 70 61 72 65 6E 74 68 65 73 |inside parenthes| 00001540: 65 73 20 66 69 72 73 74 2E 40 68 22 74 69 6D 65 |es first.@h"time| 00001550: 73 22 20 69 6E 64 69 63 61 74 65 73 20 6D 75 6C |s" indicates mul| 00001560: 74 69 70 6C 69 63 61 74 69 6F 6E 2E 40 68 45 6E |tiplication.@hEn| 00001570: 74 65 72 20 60 2A 20 26 76 27 20 20 61 6E 64 20 |ter `* &v' and | 00001580: 70 72 65 73 73 20 74 68 65 20 3C 52 65 74 75 72 |press the <Retur| 00001590: 6E 3E 20 6B 65 79 2E 40 69 28 34 2C 64 30 2C 29 |n> key.@i(4,d0,)| 000015A0: 26 63 28 34 2C 49 66 20 31 30 20 69 73 20 61 64 |&c(4,If 10 is ad| 000015B0: 64 65 64 20 74 6F 20 28 32 20 2A 20 26 76 29 29 |ded to (2 * &v))| 000015C0: 40 72 35 2E 20 46 49 4E 49 53 48 20 54 52 41 4E |@r5. FINISH TRAN| 000015D0: 53 4C 41 54 49 4E 47 40 70 45 6E 74 65 72 20 74 |SLATING@pEnter t| 000015E0: 68 65 20 65 6E 74 69 72 65 20 65 78 70 72 65 73 |he entire expres| 000015F0: 73 69 6F 6E 2E 40 68 54 68 65 20 70 68 72 61 73 |sion.@hThe phras| 00001600: 65 20 22 69 73 20 61 64 64 65 64 20 74 6F 22 20 |e "is added to" | 00001610: 69 6E 64 69 63 61 74 65 73 20 61 64 64 69 74 69 |indicates additi| 00001620: 6F 6E 2E 40 68 45 6E 74 65 72 20 60 31 30 20 2B |on.@hEnter `10 +| 00001630: 20 28 32 2A 26 76 29 27 20 61 6E 64 20 70 72 65 | (2*&v)' and pre| 00001640: 73 73 20 74 68 65 20 3C 52 65 74 75 72 6E 3E 20 |ss the <Return> | 00001650: 6B 65 79 2E 40 69 28 35 2C 69 2C 31 30 2B 32 26 |key.@i(5,i,10+2&| 00001660: 76 29 40 70 54 72 61 6E 73 6C 61 74 65 20 74 68 |v)@pTranslate th| 00001670: 65 20 72 65 73 74 20 6F 66 20 74 68 65 20 70 72 |e rest of the pr| 00001680: 6F 62 6C 65 6D 2E 26 71 54 68 65 20 72 65 73 75 |oblem.&qThe resu| 00001690: 6C 74 20 69 73 20 32 38 26 71 40 68 22 26 68 54 |lt is 28&q@h"&hT| 000016A0: 68 65 20 72 65 73 75 6C 74 20 69 73 20 32 38 26 |he result is 28&| 000016B0: 68 22 20 69 73 20 74 68 65 20 70 68 72 61 73 65 |h" is the phrase| 000016C0: 20 74 6F 20 62 65 20 74 72 61 6E 73 6C 61 74 65 | to be translate| 000016D0: 64 2E 40 68 54 6F 20 74 72 61 6E 73 6C 61 74 65 |d.@hTo translate| 000016E0: 20 26 68 74 68 65 20 72 65 73 75 6C 74 20 69 73 | &hthe result is| 000016F0: 20 32 38 26 68 2C 20 65 6E 74 65 72 20 60 3D 20 | 28&h, enter `= | 00001700: 32 38 27 2E 40 69 28 35 2C 6A 2C 32 26 76 2B 31 |28'.@i(5,j,2&v+1| 00001710: 30 3D 32 38 29 40 73 40 64 67 30 36 26 64 28 31 |0=28)@s@dg06&d(1| 00001720: 2C 54 68 65 20 75 6E 6B 6E 6F 77 6E 20 6E 75 6D |,The unknown num| 00001730: 62 65 72 20 69 73 3A 20 20 26 76 29 26 64 28 32 |ber is: &v)&d(2| 00001740: 2C 45 51 55 41 54 49 4F 4E 29 26 64 28 33 2C 31 |,EQUATION)&d(3,1| 00001750: 30 20 2B 20 32 26 76 20 3D 20 32 38 29 26 64 28 |0 + 2&v = 28)&d(| 00001760: 35 2C 43 48 45 43 4B 29 40 72 43 4F 4D 50 55 54 |5,CHECK)@rCOMPUT| 00001770: 45 26 64 28 34 2C 31 30 2B 32 26 76 20 3D 20 32 |E&d(4,10+2&v = 2| 00001780: 38 29 40 70 55 73 65 20 74 68 65 20 43 61 6C 63 |8)@pUse the Calc| 00001790: 75 6C 61 74 6F 72 20 74 6F 20 73 6F 6C 76 65 20 |ulator to solve | 000017A0: 74 68 65 20 65 71 75 61 74 69 6F 6E 20 22 31 30 |the equation "10| 000017B0: 2B 32 26 76 20 3D 20 32 38 22 2E 40 68 54 68 65 |+2&v = 28".@hThe| 000017C0: 20 43 61 6C 63 75 6C 61 74 6F 72 20 73 6F 6C 76 | Calculator solv| 000017D0: 65 73 20 65 71 75 61 74 69 6F 6E 73 20 66 6F 72 |es equations for| 000017E0: 20 79 6F 75 20 61 6E 64 20 64 69 73 70 6C 61 79 | you and display| 000017F0: 73 20 74 68 65 20 73 74 65 70 73 20 69 6E 20 74 |s the steps in t| 00001800: 68 65 20 73 6F 6C 75 74 69 6F 6E 2E 40 68 59 6F |he solution.@hYo| 00001810: 75 20 6D 61 79 20 61 6C 73 6F 20 73 6F 6C 76 65 |u may also solve| 00001820: 20 74 68 69 73 20 79 6F 75 72 73 65 6C 66 2E 20 | this yourself. | 00001830: 49 73 6F 6C 61 74 65 20 22 26 76 22 20 6F 6E 20 |Isolate "&v" on | 00001840: 6F 6E 65 20 73 69 64 65 20 6F 66 20 74 68 65 20 |one side of the | 00001850: 65 71 75 61 74 69 6F 6E 2E 20 45 6E 74 65 72 20 |equation. Enter | 00001860: 60 26 76 20 3D 20 39 27 2E 40 69 28 34 2C 69 2C |`&v = 9'.@i(4,i,| 00001870: 26 76 3D 39 29 40 72 43 48 45 43 4B 26 64 28 36 |&v=9)@rCHECK&d(6| 00001880: 2C 32 2A 26 76 2B 31 30 3D 32 38 29 40 70 43 68 |,2*&v+10=28)@pCh| 00001890: 65 63 6B 20 79 6F 75 72 20 77 6F 72 6B 20 62 79 |eck your work by| 000018A0: 20 73 75 62 73 74 69 74 75 74 69 6E 67 20 66 6F | substituting fo| 000018B0: 72 20 22 26 76 22 20 69 6E 20 74 68 65 20 65 71 |r "&v" in the eq| 000018C0: 75 61 74 69 6F 6E 2E 40 68 26 76 20 3D 20 39 2E |uation.@h&v = 9.| 000018D0: 20 53 6F 20 73 75 62 73 74 69 74 75 74 65 20 39 | So substitute 9| 000018E0: 20 66 6F 72 20 22 26 76 22 2E 40 68 4D 6F 76 65 | for "&v".@hMove| 000018F0: 20 74 68 65 20 63 75 72 73 6F 72 20 6F 76 65 72 | the cursor over| 00001900: 20 60 26 76 27 2C 20 74 79 70 65 20 60 39 27 20 | `&v', type `9' | 00001910: 61 6E 64 20 70 72 65 73 73 20 74 68 65 20 3C 52 |and press the <R| 00001920: 65 74 75 72 6E 3E 20 6B 65 79 2E 40 69 28 36 2C |eturn> key.@i(6,| 00001930: 69 2C 32 2A 39 2B 31 30 3D 32 38 29 40 70 55 73 |i,2*9+10=28)@pUs| 00001940: 65 20 74 68 65 20 63 61 6C 63 75 6C 61 74 6F 72 |e the calculator| 00001950: 20 74 6F 20 63 68 65 63 6B 20 74 68 61 74 20 74 | to check that t| 00001960: 68 65 20 65 71 75 61 74 69 6F 6E 20 62 61 6C 61 |he equation bala| 00001970: 6E 63 65 73 2E 40 68 54 68 65 20 43 61 6C 63 75 |nces.@hThe Calcu| 00001980: 6C 61 74 6F 72 20 73 6F 6C 76 65 73 20 65 71 75 |lator solves equ| 00001990: 61 74 69 6F 6E 73 20 66 6F 72 20 79 6F 75 20 61 |ations for you a| 000019A0: 6E 64 20 64 69 73 70 6C 61 79 73 20 74 68 65 20 |nd displays the | 000019B0: 73 74 65 70 73 20 69 6E 20 74 68 65 20 73 6F 6C |steps in the sol| 000019C0: 75 74 69 6F 6E 2E 40 68 53 69 6E 63 65 20 28 32 |ution.@hSince (2| 000019D0: 2A 39 29 2B 31 30 3D 32 38 2C 20 61 6E 64 20 74 |*9)+10=28, and t| 000019E0: 68 65 20 72 69 67 68 74 20 73 69 64 65 20 61 6C |he right side al| 000019F0: 72 65 61 64 79 20 65 71 75 61 6C 73 20 32 38 2C |ready equals 28,| 00001A00: 20 74 68 65 20 72 65 73 75 6C 74 20 6F 66 20 74 | the result of t| 00001A10: 68 65 20 63 68 65 63 6B 69 6E 67 20 69 73 20 60 |he checking is `| 00001A20: 32 38 3D 32 38 27 2E 40 69 28 36 2C 69 2C 32 38 |28=28'.@i(6,i,28| 00001A30: 3D 32 38 29 40 73 40 72 26 64 28 30 2C 59 6F 75 |=28)@s@r&d(0,You| 00001A40: 20 61 72 65 20 6E 6F 77 20 72 65 61 64 79 20 74 | are now ready t| 00001A50: 6F 20 70 72 61 63 74 69 63 65 20 4E 75 6D 62 65 |o practice Numbe| 00001A60: 72 20 57 6F 72 64 20 50 72 6F 62 6C 65 6D 73 2E |r Word Problems.| 00001A70: 20 53 65 6C 65 63 74 20 22 4E 75 6D 62 65 72 20 | Select "Number | 00001A80: 57 6F 72 64 20 50 72 6F 62 6C 65 6D 73 22 20 22 |Word Problems" "| 00001A90: 4C 65 76 65 6C 20 32 22 2E 29 7C FF |Level 2".)|. |
A@QNUMBER TUTORIAL -- PART 1. THIS IS A
TUTORIAL ON NUMBER WORD PROBLEMS. IF YO
U FIND A QUESTION CONFUSING, USE THE `HE
LP' KEY.@DG08@PIF THE TUTORIAL SEEMS TOO
EASY, USE THE `SKIP PROBLEM' KEY. (ANY
KEY TO CONTINUE.)@HTHERE ARE ALWAYS TWO
HELP'S AVAILABLE. THE SECOND TIME YOU PR
ESS THE HELP KEY YOU GET THE CORRECT ANS
WER.@HTHE `SKIP PROBLEM' KEY WILL TAKE Y
OU TO THE NEXT PROBLEM, OR TO THE NEXT P
ART OF THE TUTORIAL.@I(0)@JNUMBER PROBLE
MS INTRODUCE ALGEBRA WORD PROBLEMS.&D(0,
NUMBER PROBLEMS FOCUS ON TRANSLATING FRO
M ENGLISH INTO FORMULAS.)@JTRANSLATE THE
SENTENCES IN FIVE STAGES.@R1. READ&D(1,
1. READ THE COMPLETE PROBLEM.)&D(0,READ
EVERYTHING SLOWLY AND CAREFULLY. THINK:
WHAT ARE THE FACTS? WHAT IS BEING ASKED?
)@R2. IDENTIFY THE UNKNOWN&D(2,2. IDENTI
FY THE UNKNOWN.)&D(0,USE A LETTER, SUCH
AS `X'\, TO REPRESENT THE UNKNOWN QUANTI
TY.)@R3. SUBDIVIDE&D(3,3. BREAK THE SENT
ENCE INTO PARTS.)&D(0,USE KEY WORDS TO D
IVIDE SENTENCES IN PARTS. WORDS SUCH AS
`IS' OR `EQUALS' TRANSLATE AS `='.)&D(0,
THE `=' SIGN SHOWS THE TWO SIDES OF THE
EQUATION. USE PARENTHESES\N( ) TO SHOW T
HE SIDES IN THE SENTENCE.)@R4. BEGIN TRA
NSLATING&D(4,4. WORK INSIDE THE ( ) FIRS
T.)&D(0,WORDS LIKE `TIMES' AND `PRODUCT
OF' INDICATE MULTIPLICATION.)@R5. FINISH
TRANSLATING&D(5,5. FINISH THE TRANSLATI
ON.)&D(0,WORDS LIKE `INCREASED BY' AND `
SUM OF' INDICATE ADDITION.)@DG08@JHERE A
RE PARTS OF SENTENCES THAT MIGHT APPEAR
IN NUMBER WORD PROBLEMS. USE THE LETTER
`X' AS THE VARIABLE.&D(0,)@R1. READ&C(1,
3 TIMES THE NUMBER "X", INCREASED BY 6.)
&D(0,READ THE SENTENCE SLOWLY AND CAREFU
LLY. MAKE SURE YOU UNDERSTAND EVERYTHING
.)@R2. IDENTIFY THE UNKNOWN&D(2, 3
TIMES )@PREPLACE THE PHRASE `THE NUMBER
"X" ' WITH `X'. REMEMBER, USE HELP IF YO
U NEED IT.@HUSE THE LETTER `X' AS A VARI
ABLE TO REPRESENT THE UNKNOWN.@HENTER TH
E LETTER `X' AND PRESS THE <RETURN> KEY.
@I(2,D0,)&C(2,3 TIMES X, INCREASED BY 6.
)@R3. SUBDIVIDE&D(0,)&C(3,( 3 TIMES X )
INCREASED BY 6.)&D(0,NOTICE THE PHRASING
IN THE SENTENCE. COMMAS ARE A CLUE TO G
ROUPING.)@R4. BEGIN TRANSLATING&D(4,
3 )@PWORK ON THE PHRASE INSIDE PARENT
HESES FIRST: `TIMES' INDICATES MULTIPLIC
ATION.@HUSE THE MULTIPLICATION SIGN, `*'
, TO TRANSLATE "TIMES".@HENTER `* X' AND
PRESS THE <RETURN> KEY.@I(4,D0,)&C(4,(3
* X) INCREASED BY 6.)@R5. FINISH TRANSL
ATING&D(0,)&C(5,(3 * X))@PTHE WORDS `INC
REASED BY' INDICATE ADDITION.@HUSE THE A
DDITION SIGN, `+', TO TRANSLATE "INCREAS
ED BY" .@HENTER `+6' AND PRESS THE <RETU
RN> KEY.@I(5,J,3X+6)@S @DG08@R1. READ&C(
1,6 TIMES THE NUMBER "X", DECREASED BY 1
0.)&D(0,READ THE SENTENCE SLOWLY. MAKE S
URE YOU UNDERSTAND EVERYTHING.)&D(2,
6 TIMES )@R2. IDENTIFY THE UNKNOWN@PTHE
PHRASE `THE NUMBER "X" ' IS REPLACED WI
TH `X'.@HUSE THE LETTER 'X' AS A VARIABL
E TO REPRESENT THE UNKNOWN.@HENTER THE L
ETTER 'X' AND PRESS THE <RETURN> KEY.@I(
2,D0,)&C(2,6 TIMES X, DECREASED BY 10.)@
R3. SUBDIVIDE&D(0,)&C(3,(6 TIMES X) DECR
EASED BY 10.)&D(0,NOTICE THE PHRASING IN
THE SENTENCE. COMMAS ARE A CLUE TO THE
GROUPING.)@R4. BEGIN TRANSLATING&D(4,
6 )@PWORK ON THE PHRASE INSIDE PARE
NTHESES FIRST: `TIMES' INDICATES MULTIPL
ICATION.@HUSE THE MULTIPLICATION SIGN, `
*', TO TRANSLATE "TIMES".@HENTER `* X' A
ND PRESS THE <RETURN> KEY.@I(4,D0,)&C(4,
(6 * X) DECREASED BY 10.)@R5. FINISH TRA
NSLATING&D(0,)&C(5,(6 * X) )@PTHE WORDS
`DECREASED BY' INDICATE SUBTRACTION.@HUS
E THE SUBTRACTION SIGN, `-', TO TRANSLAT
E "DECREASED BY".@HENTER `- 10' AND PRE
SS THE <RETURN> KEY.@I(5,J,6X-10)@DG08@R
1. READ&C(1,THE PRODUCT OF 7 AND A NUMBE
R IS 56.)&D(0,)&D(2, THE PRODUCT OF 7
AND )@R2. IDENTIFY THE UNKNOWN@PREPLACE
"A NUMBER" WITH THE VARIABLE `X'. REMEM
BER, ASK FOR HELP IF YOU NEED IT.@HTHE E
NGLISH PHRASE "A NUMBER" IS REPLACED BY
A VARIABLE: `X'.@HENTER `X' AND PRESS TH
E <RETURN> KEY.@I(2,D0,)&C(2,THE PRODUCT
OF 7 AND X IS 56.)@R3. SUBDIVIDE&C(3,(
THE PRODUCT OF 7 AND X ) = 56.)&D(0,THE
WORD "IS" IS REPLACED BY `='. THIS SPLIT
S THE SENTENCE INTO THE TWO SIDES OF THE
EQUATION.)&D(0,THE EQUAL SIGN " = " DIV
IDES MATHEMATICAL EQUATIONS IN TWO PARTS
.)@R5. FINISH TRANSLATING&D(4, 7 ).
@PTHE PHRASE "THE PRODUCT OF" INDICATES
MULTIPLICATION.@HCOMPLETE THE TRANSLATIO
N.@HENTER `* X = 56' AND PRESS THE <RETU
RN> KEY.@I(4,J,7X=56) @QNUMBER TUTORIAL
-- PART 2. HERE IS A COMPLETE PROBLEM TO
SHOW HOW TO USE A GRID.@DG06&D(2,EQUATI
ON)&D(5,CHECK)@R&D(0,)@JIF 10 IS ADDED T
O 2 TIMES SOME NUMBER, THE RESULT IS 28.
WHAT IS THE NUMBER?@RREAD@PREAD THE PRO
BLEM SLOWLY AND CAREFULLY. WHAT IS BEING
ASKED? PRESS ANY KEY TO CONTINUE.@HWHAT
IS BEING ASKED? YOU ARE BEING ASKED TO
FIND THE UNKNOWN NUMBER.@HTHE PROBLEM IS
TO FIND &HSOME NUMBER&H.&QWHAT IS THE N
UMBER?&Q@I(0)@RPLAN@PIDENTIFY THE UNKNOW
N: CHOOSE A VARIABLE TO REPRESENT THE UN
KNOWN NUMBER.@HUSE ANY LETTER AS A VARIA
BLE TO REPRESENT THE UNKNOWN NUMBER.@HCH
OOSE ANY LETTER, SUCH AS `N' TO REPRESEN
T THE UNKNOWN NUMBER.@I(1,I,&V)&D(1,THE
UNKNOWN NUMBER IS: &V)&D(0,USE THE FIVE
STEPS TO TRANSLATE THE FIRST PHRASE INT
O A MATHEMATICAL EXPRESSION.&QIF 10 IS A
DDED TO 2 TIMES SOME NUMBER&Q)@DG08&D(1,
IF 10 IS ADDED TO 2 TIMES SOME NUMBER)@R
1. READ&D(0,)@R2. IDENTIFY THE UNKNOWN&D
(2, IF 10 IS ADDED TO 2 TIMES )@PREPL
ACE "SOME NUMBER" WITH `&V'.@HUSE THE LE
TTER `&V' TO REPRESENT THE UNKNOWN.@HENT
ER THE LETTER `&V' AND PRESS THE <RETURN
> KEY.@I(2,D0,)&C(2,IF 10 IS ADDED TO 2
TIMES &V)@R3. SUBDIVIDE&D(0,)&C(3,IF 10
IS ADDED TO (2 TIMES &V))&D(0,)@R4. BEGI
N TRANSLATING&D(4, IF 10 IS ADDED TO
2 )@PWORK ON THE PART INSIDE PARENTHES
ES FIRST.@H"TIMES" INDICATES MULTIPLICAT
ION.@HENTER `* &V' AND PRESS THE <RETUR
N> KEY.@I(4,D0,)&C(4,IF 10 IS ADDED TO (
2 * &V))@R5. FINISH TRANSLATING@PENTER T
HE ENTIRE EXPRESSION.@HTHE PHRASE "IS AD
DED TO" INDICATES ADDITION.@HENTER `10 +
(2*&V)' AND PRESS THE <RETURN> KEY.@I(5
,I,10+2&V)@PTRANSLATE THE REST OF THE PR
OBLEM.&QTHE RESULT IS 28&Q@H"&HTHE RESUL
T IS 28&H" IS THE PHRASE TO BE TRANSLATE
D.@HTO TRANSLATE &HTHE RESULT IS 28&H, E
NTER `= 28'.@I(5,J,2&V+10=28)@S@DG06&D(1
,THE UNKNOWN NUMBER IS: &V)&D(2,EQUATIO
N)&D(3,10 + 2&V = 28)&D(5,CHECK)@RCOMPUT
E&D(4,10+2&V = 28)@PUSE THE CALCULATOR T
O SOLVE THE EQUATION "10+2&V = 28".@HTHE
CALCULATOR SOLVES EQUATIONS FOR YOU AND
DISPLAYS THE STEPS IN THE SOLUTION.@HYO
U MAY ALSO SOLVE THIS YOURSELF. ISOLATE
"&V" ON ONE SIDE OF THE EQUATION. ENTER
`&V = 9'.@I(4,I,&V=9)@RCHECK&D(6,2*&V+10
=28)@PCHECK YOUR WORK BY SUBSTITUTING FO
R "&V" IN THE EQUATION.@H&V = 9. SO SUBS
TITUTE 9 FOR "&V".@HMOVE THE CURSOR OVER
`&V', TYPE `9' AND PRESS THE <RETURN> K
EY.@I(6,I,2*9+10=28)@PUSE THE CALCULATOR
TO CHECK THAT THE EQUATION BALANCES.@HT
HE CALCULATOR SOLVES EQUATIONS FOR YOU A
ND DISPLAYS THE STEPS IN THE SOLUTION.@H
SINCE (2*9)+10=28, AND THE RIGHT SIDE AL
READY EQUALS 28, THE RESULT OF THE CHECK
ING IS `28=28'.@I(6,I,28=28)@S@R&D(0,YOU
ARE NOW READY TO PRACTICE NUMBER WORD P
ROBLEMS. SELECT "NUMBER WORD PROBLEMS" "
LEVEL 2".)|.
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