Kvadrat tenglamalar yordamida masalalar yechish — 8-sinf Algebra test savollari

1.Shaxtaga tosh tashlandi va uning shaxta tubiga urilganda chiqargan ovozi 9 sekunddan keyin eshitildi. Tovush tezligi 320 m/s, g = 10 m/s² bo‘lsa, shaxtaning chuqurligini toping.

• A)320 m
• B)288 m
• C)405 m
• D)360 m

2.To‘g‘ri to‘rtburchakning bo‘yi enidan 3 sm ortiq, yuzi 40 sm² ga teng. To‘rtburchakning bo‘yini toping.

• A)8 sm
• B)5 sm
• C)10 sm
• D)13 sm

3.Ikki sonning yig‘indisi 12, ko‘paytmasi 35 ga teng. Bu sonlarni toping.

• A)5 va 7
• B)4 va 8
• C)6 va 6
• D)3 va 9

4.Kvadratning yuzi 64 sm² ga teng. Uning tomonini toping.

• A)8 sm
• B)16 sm
• C)32 sm
• D)4 sm

5.Natural sonning kvadrati shu sondan 20 ga ortiq. Sonni toping.

• A)5
• B)4
• C)6
• D)10

6.To‘g‘ri to‘rtburchakning perimetri 22 sm, yuzi 24 sm² ga teng. Uning tomonlarini toping.

• A)3 sm va 8 sm
• B)4 sm va 6 sm
• C)2 sm va 9 sm
• D)5 sm va 6 sm

7.Bir ishchi ma’lum ishni ikkinchisiga qaraganda 2 kun tez bajaradi. Bunday masalalar odatda qanday tenglama turiga keltiriladi?

• A)kasr-ratsional (kvadrat tenglamaga keltiriladigan) tenglamaga
• B)chiziqli tenglamaga
• C)bikvadrat tenglamaga
• D)modul qatnashgan tenglamaga

8.Sonning kvadrati shu sonning o‘zidan 6 ga ortiq. Musbat sonni toping.

• A)3
• B)2
• C)6
• D)−2

9.Erkin tushish qonuniga ko‘ra jismning tushish balandligi qanday formula bilan hisoblanadi (g — erkin tushish tezlanishi, t — vaqt)?

• A)h = gt²/2
• B)h = gt
• C)$h=g^2\frac{t}{2}$
• D)$h=\frac{g}{t^2}$

10.Ikki sonning ayirmasi 4, ko‘paytmasi 45 ga teng. Kattaroq sonni toping.

• A)9
• B)5
• C)13
• D)11