Tenglamaning yechimlari yig’indisini toping. A b 10 c d e 12

Tenglamaning yechimlari yig’indisini toping.
A) 4 B) 10 C) 8 D) 5 E) 12

2. (x+5)(x+4)(x+2)(x+1)=40

Tenglamaning eng katta va eng kichik yechimlari orasidagi masofani toping.
A) -5 B) -6 C) 5 D) 6 E) 4

3. Tengsizlikni yeching.

a ning qanday qiymatida tenglama yagona yechimga ega bo’ladi?

5. To’rtta nuqta aylanani 0,5:1,5:2,5:5,5 sonlariga proporsional yoylarga ajratadi. Shu nuqtalarni ketma-ket tutashtirish natijasida hosil bo’lgan to’rtburchak diagonallarini orasidagi burchaklar ayirmasini toping.

A) 120 B) 126 C) 100 D) 75 E) 72

6. 336 va 528 sonlarining umumiy bo’luvchilari yig’indisini toping.

A) 62 B) 48 C) 10 D) 120 E) 124



a=?
A) 2 B) 32 C) -64 D) 2 E) 1

8. 
   tenglamaning ildizlari {x₁,x₂} bo’lsa ildizlari
   

{2x₁+1, 2x₂ +1} bolgan tenglama quyidagilardan qaysi bori bo’la oladi?
A) B)
C) D)
E)

9. Bir ishni Gulnoza 18 kunda bajaradi. Umid bilan Ne’mat 12 kunda bajaradi. Uchchalasi birga 6 kun ishlagandan keyin, Umid bilan Ne’mat qochib ketishsa, qolgan ishni bechora Gulnoza necha kunda bajaradi?

10. y=x²+3 parabolaning y=2x to’g’ri chiziqqa eng yaqin nuqtasini toping.

11. mx²+(m-3)x+1=0 tenglama ikki turli manfiy ildizga ega bo’ladigan “m” ning qiymatini toping.

A) [9;∞) B) (-∞;0)
C) (-∞;0)U[9; ∞) D) (-∞;9)
E) (9;∞)

12. 1ⁿ+2²ⁿ⁺¹+3ⁿ+4ⁿ+5²ⁿ ni 6 ga bo’lgandagi qoldiqni toping.

A) 4 B) 5 C) 0 D) 1 E) 2

13. Qaysi nuqta y=x³+5x-2 funksiyaga teskari funksiya grafigiga tegishli?

A) (-2;1) B) (0;-2) C) (4;1) D) (2;1) E) (4;5)



Tenglama nechta yechimga ega?
A) 1 B) 2 C) 3 D) 0 E) 4

15. ABC to’g’ri burchakli uchburchakda AB gipotenuza, AD va BF bissektrisalar. AB=12 va AD²+BF²=225 bo’lsa, DF kesmaning uzunligini toping.

A) 1 B) 3 C) -1 D) 4 E) 2,5

17. Tengsizlikni yeching.

A) (-∞;2)U{0} B) {0}
C) (-∞;-2)U[0;∞) D) {2}U(0;∞)
E) Θ

18. MN kubning ostki asosining qarama qarshi tomonlarini tutashtiruvchi kesma, va P kubning ustki uchlaridan biri. S(PMN)= bo’lsa, V_kub=?

A) 3 B) 27 C) 4 D) 8 E) 16

19. Balandliklari 12, 15, 20 bol`gan uchburchak yuzasini toping.

A) 67 B) 360 C) 250 D) 300 E) 500

20. <(AOB)=60^o

<(BAC)=45^o
AB=5 sm bo’lsa, BC=?

21. tg20^o+4sin20^o=?

22. |x<0,5|,

Tenglama yechimlari yig’indisini top.

23. Burchaklari 67,5 va 22,5, gipotenuzasi 2 bo`lgan uchburchak yuzasini toping.

A)1 B)2 C) D) E)

24. Hisoblang.

25. 81^x+81^-x=7 bo’lsa, 9^x+9^-x=?

Tenglik x ning qanday qiymatlarida to’g’ri bo’ladi?

27. x³+(1-2m)x+10=0

Tenglamaning yechimlari x₁, x₂ va x₃ bo’lsa va x₁^.x₂=-5 bo’lsa m=?
A) 5 B) 6
C) 3 D) 10
E) 4

28. Tengsizlikni yeching.

29. a ning qanday qiymatida lg₃(a-1), lg₃(a+1) va lg₃(2a-1) ifodalar ko’rsatilgan tartibda arifmetik progressiyaning 3 ta hadidan iborat bo’ladi?

A) 6 B) 5 C) 4 D) 3 E) 2

30.

A) B)10 C)1024 D) E)

31. 1^.4+2^.8+3^.12+……+20^.80 yig’indida har bir qo’shuluvchining ikkinchi ko’paytuvchisini 2 tadan kamaytirilsa, bu yig’indi qanchaga kamayadi?

A) 210 B) 120 C) 420 D) 465 E) 375



Tenglamaning ildizlari yig’indisini toping.
A) -3 B) -4 C) 3 D) 4 E) -5

33. (x²+x^-2)+7(x+x^-1)+14=0

Tenglamaning yechimlari ko’paymasini toping.
A) 1 B) 2 C) 3 D) 14 E) 1,5


Ifodaning eng kichik qiymatini toping. Bu yerda 16≤x≤y≤z≤t≤121

35. Tengsizlikni yeching. (a

A) (0;c) B) [-a;-c) C) [-b;-c)
D) (-c;-b) (-c;-a]

36. Bir avtomobil tezligini a km/soat kamaytirsa, masofani 8 soatda bosib o’tadi. 2a km/soat orttirsa 4 soatda bosib o’tadi. Masofa necha a km?

A) 18 B) 20 C) 24 D) 32 E) 36