saSualod TiToeulze3x + 4x + 5x3= 4x4x=20 x=5; 15; 20; 25.37. a) -58; b) -16; g) 0,5; d) -9.38. sami momdevno mTeli ricxvidan erT-erTi 3-is jeradia, xolo erTi mainc luwi.39. SevadginoT cxriliI II III IVdaTo m t t tmerabi t m t t (t — tyuili)vatangi t t m t (m — marTali)goCa t t t mCavataroT TiToeuli kombinaciis analizi. I — Tu daTom Tqva marTali, e.i. damnaSaveamerabi. merabis da goCas naTqvami, cxadia, gamodis tyuili, xolo vaxtangis naTqvami„me damnaSave varo“, marTalia, e.i. daTos marTali ar uTqvams. analogiuri msjelobiTdavadgenT, rom rigiT II kombinaciaa swori da damnaSavea vaxtangi.IV Tavis damatebiTi savarjiSoebi7. AB=2. 8. A wertilis koordinatia -16 an 6.9. a) -21,1; b) 5; g) -1; d) 1,5.10. a) ±7; b) Ø; g) 1; d) 5 an 1; e) 4 an 3; v) 0 an 4.13. a) 5; -2; b) -7; 3.14. a) 5; b) 3; g) -2.2715. a) 0,8; b) ; g) 5,35; d) 0,3.1116. a-1 unda iyos 12-is naturaluri gamyofi, e.i. a=2; 3; 4; 5; 7; 13.17. a) 9 ar aris 14-is gamyofi, e.i. 3x–1 mTeli ver iqneba, Sesabamisad ver iqneba mTeli x.18. Tu meore nakveTis farTobs aRvniSnavT x-iT, amocanis pirobis Sesabamisad miviRebT2gantolebas (4x–10)=x+10.320. aTeulebis cifri iyos a, maSin erTeulebis iqneba 13–a, saZiebeli ricxvi SeiZlebaCavweroT 10a+13x–a. ricxvi Cawerili igive cifrebiT, Sebrunebuli rigiT, iqneba 10(13–a)+a. gantolebas eqneba Semdegi saxe: 9a+13=27+10(13–a)+a. saZiebeli ricxvia 85.21. ana — 2x; Temo — x; giorgi — 2x–3; 2x+x+2x–3+30=52. x=5.82masc_cigni_VII_kl_cor.indd 82 03.07.2012 15:46:52
24. drois erTeulad CavTvaloT is dro, romelSic kata akeTebs 12, xolo ZaRli — 15naxtoms. davuSvaT ZaRli daewia katas x droSi, maSin ZaRli gaivlis 15x, xolo kata12x naxtoms. radgan maT Soris 100 naxtomi iyo 15x–12x=100, e.i. 3x=100. ZaRlis miergakeTebulia 15x=5·3x=500 naxtomi.25. mtknari wylis damatebiT marilis raodenoba ar icvleba. 40 kg zRvis wyalSi40 $ 4aris = 1,6kg marili. aRvniSnoT dasamatebeli wylis raodenoba x-iT, miviRebT1001, 6 2,5gantolebas: = , saidanac x=24.x + 40 10026. 7x–5(x+2)=2, saidanac x=6.27. 2(x–3)=x+4, saidanac x=10.28. x(x+6)–x(x+1)=25, saidanac x=5.329. x+ x+x–6=49B4saidanac x=20.x3 x4BC=20; AB=15; AC=14.30.C5 $ 8 + 6x11x–6= 5 x=2,5 lari.A31.5x+ 10 $ 70c15= 54cx=22°.meoTxe Tavis testi:1. a; 2. g; 3. a; 4. b; 5. b; 6. g; 7. b; 8. b; 9. a; 10. b; 11. 5:3; 12. 40km/sT.sakontrolo wera #41. Tu P, M da K wertilebi Semdegnairadaa ganlagebuli ricxviT RerZze, maSin amwertilebis koordinatebi SesaZlebelia iyos:PM-2 -1 0 1 2 3Ka) P(-4,1); M(-1,2); K(1,5); b) P(-2,7); M(-1,3); K(1,5);g) P(-2,6); M(-0,5); K(1,4); d) P(-2,5); M(-1,2); K(1,6).2. Tu 1,1; -2,3; -3;1; 0 ricxvebs zrdis mixedviT davalagebT, miviRebT:a) 1,1; 0; -2,3; -3,1; b) -2,3; -3,1; 0; 1,1; g) -3,1; -2,3; 0; 1,1; d) 1,1; -2,3; -3,1; 0.3. |-3,5|–|3–4,1|+|5,5| gamosaxulebis mniSvnelobaa:a) 10,1; b) 0,9; g) 8,1; d) 10.83masc_cigni_VII_kl_cor.indd 83 03.07.2012 15:46:53
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nana jafariZemaia wilosaninani wula
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IV Tavi .. . . . . . . . . . . . .
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erovnuli saswavlo gegmaწლის
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მიმართულება:
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III Tavimonacemebi.cxrilebi.wriuli
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gTavazobT ramdenime gakveTilis sani
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aTwiladebiT. msjeloba SeiZleba gagr
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diagramis ageba:sTxoveT moswavleebs
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aqtivobis aRwerademonstrireba: gakv
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eziume:I Tavi1. gameorebamoswavlem
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13. a) ((2(x+1)+10):5+8)·3-6=30((2
- Page 31: 27. P=2(2x+12)=4(x+6)sigrZe x+12sig
- Page 34 and 35: 12. ipoveT, ra cifriT bolovdeba ric
- Page 36 and 37: 4. naSTi movZeboT rogorc cifrTa jam
- Page 38 and 39: 4. amocana gamodgeba jgufuri muSaob
- Page 40 and 41: 21. x+2x+3x=222.x=3722. I - x II -
- Page 42 and 43: 4. 144-isa da 162-is umciresi saerT
- Page 44 and 45: g) d)4. a) 1 wertili b) 3 wertili5.
- Page 47 and 48: 15. a) yvela meSvideklaseli wiTuria
- Page 50 and 51: Seamowme Seni codna1. wrfeze agebul
- Page 53 and 54: 6. (180°-130°)·2=100°.7. a=6m+2
- Page 56: 14. ar SeiZleba _ Tu A, B da C wert
- Page 61 and 62: 5. procenties gakveTili sasurvelia
- Page 63 and 64: amoxsnebi, miTiTebebi:2 # 1003. kla
- Page 65 and 66: amoxsnebi, miTiTebebi:AC1. g) BC=3.
- Page 67 and 68: 4. rioni — 300 km; enguri — 300
- Page 69 and 70: 2505. a) = 0, 2 =40020%; b) . 0,29
- Page 71 and 72: gaecnobiTIV TaviuaryofiT ricxvebs.
- Page 73 and 74: eziume:3. ricxvis modulimoswavlem u
- Page 75 and 76: amoxsnebi, miTiTebebi:6. WeSmaritia
- Page 77 and 78: eziume:7. gamravlebis ganrigebadobi
- Page 79 and 80: 17. AC=2x da BC=5x; 7x=14, e.i. x=2
- Page 81: 25.iyorom yofiliyosiCqare x x+10man
- Page 85 and 86: amoxsnebi, miTiTebebi:1. a) 7; 10;
- Page 87 and 88: eziume:3. grafikimoswavlem unda SeZ
- Page 90 and 91: eziume:8. samkuTxedis kuTxeebis jam
- Page 92 and 93: 7. A(-2;-1) B 1(2;1).8.9.1 $ 10% +
- Page 94 and 95: 12. monakveTis SuamarTobireziume:mo
- Page 96 and 97: amoxsnebi, miTiTebebi:2. ABC samkuT
- Page 98 and 99: 4. wertilidan wrfemde manZilis da s
- Page 100 and 101: AP6. ∠BPN=∠NPB=45°.BNC8. a= b
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- Page 104 and 105: 11. a) simetriis centria diagonaleb
- Page 106 and 107: 24. samkuTxedis erT wverosTan mdeba
- Page 108 and 109: sakontrolo wera №51. Tu A 1wertil
- Page 111 and 112: 8. b) 8x-3-(5-2x)=4,38x-3-5+2x=4,31
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