M a sh q l a r

10. Algebraik ifodaning qiymatini toping:

1) bunda ; 2) bunda ;

3) bunda ; 4) bunda .

11. Algebraik ifodaning qiymatini toping:

1) bunda x=8, y=–14; 2) bunda x=9, y=–10;

3) , bunda a=4, b=–2; 4) , bunda a=–3, c=–1.

12. Neft quvuridan 1 soatda 7 t neft oqadi, m soatda quvurdan necha tonna neft oqib o‘tadi? Bir sutkada-chi?

13. 1) m soatda; 2) p sekundda; 3) m soat l minut va p sekundda necha minut bor?

14. x va y sonlar ayirmasining uchlanganini yozing. Shu ifodaning:

1) x=–0,37, y=–0,42; 3) ;

2) x=–2,98, y=–4,48; 4)

bo‘lgandagi son qiymatini toping.

15. x va y sonlar yig‘indisi bilan ular ayirmasinig ko’paytmasini yozing. Hosil bo‘lgan algebraik ifodaning:

1) ; 2) ; 3) ; 4) bo‘lgandagi son qiymatini toping.

16. 1) , bunda ;

2) , bunda .

17. 1) , bunda ;

2) , bunda .

18. Toq son formulasi n=2k+1 dan foydalanib, k=0, k=7, k=10 bo‘lganda n ning qiymatini toping.

19. Algebraik ifoda shaklida yozing:

1) kichigi n ga teng bo‘lgan ikkita ketma-ket natural sonning yig‘indisi; 2) kattasi m ga teng bo‘lgan ikkita ketma-ket natural sonning ko‘paytmasi; 3) kichigi 2k ga teng bo‘lgan uchta ketma-ket juft natural sonning yig‘indisi; 4) kichigi 2p+1 ga teng bo‘lgan uchta ketma-ket toq natural sonning ko‘paytmasi.

20. Shtrixlangan shakllarning perimetri va yuzini algebraik ifoda shaklida yozing (1-rasm).

21. Uyni isitish uchun p tonna ko‘mir g‘amlandi; shu zahiradan q tonna sarf qilindi. Necha tonna ko‘mir qoldi? 1) p=20, q=15 bo‘lganda hisoblang. 2) q son p sondan katta bo‘lishi mumkinmi? p ga teng bo‘lishi-chi?

22. Kurash musobaqasida har biri 400 so‘mdan n ta chipta va har biri 500 so‘mdan m ta chipta sotildi. Hamma chiptalar uchun qancha pul olingan? n=200, m=150; n=100, m=230 bo‘lganda hisoblang.

23. Bitta albomning bahosi 200 so‘m, bitta daftarning bahosi 40 so‘m, bitta ruchkaning bahosi 60 so‘m. c ta albom, a ta daftar, b ta ruchkaning umumiy (so‘mlardagi) bahosini p harfi bilan belgilab, uni formula shaklida yozing. Agar c=9, a=21, b=4 bo‘lsa, bu formula bo‘yicha p ning hisoblang.

24. Issiqlik uzatish stansiyasi uchun mo‘ljallangan gaz quvuri orqali har minutda 26 kub metr gaz o‘tadi. 1 sutkada; 5 sutkada; m sutkada quvurdan necha kub metr gaz o‘tadi?

25. Geologlar guruhi o‘z yo‘nalishi bo‘yicha harakat qilib, otda soatiga c kilometr tezlik bilan 3 soat-u 10 minut yurdi; oqimining tezligi soatiga a kilometr bo‘lgan daryoda oqim bo‘yicha 1 soat-u 40 minut solda suzdi va soatiga b kilometr tezlik bilan 2 soat-u 30 minut piyoda yurdi. Yo‘nalishning (km lardagi) uzunligi s harfi bilan belgilab, geologlar bosib o‘tgan yo‘l formulasini yozing. Agar a=3,3 km/soat, b=5,7 km/soat, c=10,5 km/soat bo‘lsa, yo‘nalishning uzunligini hisoblang.