2-Bosqich Algebra Savollari

2-Bosqich Algebra Savollari.
1. Qaysi funksiyalar kvadrat funksiya bo‘ladi? a) y=x1/ 3+ 2 b)y=–x²+5x+1 c) y=x²-x³ d) y=x²
2. x=‑3 bo‘lganda, y=4x²+7x -5 funksiyaning qiymati nechaga teng bo‘ladi?
3. х ning qanday qiymatlarida y=-3x²+x+1 funksiyaning qiymati –1 ga teng bo‘ladi?
4. y=-5x²+x+7 funksiya х ning qanday qiymatlarida aniqlangan?
5. –5 soni y=x²-5x funksiyaning noli bo‘ladimi?
6. Funksiya grafigini yasang. a) y=x² b)y=-x²
7. Funksiya nollarini toping. y=2x²+5x+2
8. Funksiyaning qiymatlar to‘plamini toping. y=2x²-8x+19
9. х ning qanday qiymatlarida funksiya eng katta (yoki eng kichik) qiymat qabul qilishini aniqlang va uni toping. y=x²+9x+34
10. t ning qanday qiymatlarida y=2x²-tx+8 funksiyaning nollari yo‘q bo‘ladi?
11. х ning qanday qiymatlarida y=5x²-4x-1 funksiyaning qiymatlari manfiy bo‘ladi?
12. y=5x²-4x-1 funksiya manfiy qiymatlarni qabul qiladimi?
13. y=-3x²+x+1 funksiya musbat qiymatlarni qabul qiladimi?
14. y=-x² funksiya grafigini yasang va grafik bo‘yicha х ning funksiyaning qiymatlari musbat, manfiy bo‘ladigan qiymatlarini toping.
15. y=2x²-8x+19 funksiya grafigini yasang. Grafik yordamida funksiyaning o‘sish va kamayish oraliqlarini toping.
16. х ning qanday qiymatlarida y=x²-22x+27 va y=2x²-20x+3 funksiyalarning qiymatlari teng bo‘ladi?
17.Agar parabolaning (–1; 6) nuqta orqali o‘tishi va uning uchi (1; 2) nuqta ekani ma’lum bo‘lsa, parabolaning tenglamasini toping.
18. y=x²+px+q parabolaning uchi A(1; –2) bo‘lsa, p va q ni toping.
19. Agar ax²+bx+c ‑ parabolaning uchi M(–1; –7) va parabola ordinatalar o‘qi bilan N (0; –4) nuqtada kesishsa, a, b, c larni toping.
20. Agar parabola A(1; 4), B(-1; 10), C(2; 7) nuqtalardan o‘tsa, y=ax²+bx+c funksiyani toping.
21. Quyidagi tengsizliklarni chiziqli tengsizliklar sistemasiga keltirib yeching. a) (x+4)(2x-3) 0
b) (5x-2)(4x+3)
22. 0, –2, 3 sonlaridan qaysi biri – 4x2+5x–5>0 tengsizlikning yechimi bo‘ladi?
23. Tengsizliklar teng kuchlimi? a) 5x² > 2x va 5x > 2 b) 3x³ < 7x² va 3x < 7
24. Tengsizliklarni yeching. a) x² >0 b)3x²-x+2>0
25. Yechimi berilgan oraliqlar bo‘lgan biror kvadrat tengsizlik tuzing. a) (-
26. Koordinata o‘qida – 4x²+5x–5>0 tengsizlikning yechimi bo‘lgan kesma uzunligini toping.
27. Nechta butun son (x+4)(2x-3) 0 tengsizlikning yechimi bo‘ladi?
28. Tengsizlikni oraliqlar usuli bilan yeching. x²+5x–6>0
29. Agar tg =3/2 bo‘lsa, 2sin ni toping.
30. Agar tg =1/2 bo’lsa cos ni toping.
31. Agar tg =1/2 bo’lsa sin² ni toping
32. Agar ctg =-3/4 bo’lsa cos ni toping.
33. Agar ctg =1/4 bo’lsa 2sin ni toping.
34. Agar ctg =5/4 bo’lsa tg =?
35. Hisoblang; 4cos150 -sin240 -3tg210
36. Hisoblang; 2cos135 + tg60 + ctg240
37. Hisoblang; sin300 - 3cos135 + 2cos210
38. Hisoblang; sin300 - 3cos45 + 2cos90
39. Hisoblang; 4cos450 -sin90 -3tg360
40. Hisoblang; 2cos45 + tg60 + ctg90
41. Hisoblang; 24cos135 + tg90 + ctg0
42. Hisoblang; 738cos0 -sin0 -3tg60
43. Hisoblang; 738cos0 -sin0 -3tg60
44 Hisoblang; sin300 - 3cos45 + 2cos90 + 4cos0 -sin210 -3tg360 + sin300 - 3cos45 + 2cos90
45. Hisoblang; sin300 - 3cos45 + 2cos90 - 2cos45 + tg60 + ctg90
46. Hisoblang; 4cos450 -sin90 -3tg360 +2cos135 + tg60 + ctg240
47. Hisoblang; 4cos0 -sin210 -3tg360 8cos0 -sin0 -3tg60
48. Hisoblang; 738cos0 -sin0 -3tg60 + 24cos135 + tg90 + ctg0
49. Hisoblang; 4cos150 -sin240 -3tg210 + 24cos135 + tg90 + ctg0
50. Hisoblang; sin300 - 3cos45 + 8cos90 - 89cos45 + tg60 + ctg90
51. Hisoblang; 738cos0 -sin0 -3tg60 +24cos135 + 66tg90 + ctg0
52. Hisoblang; 2cos45 + tg60 + ctg90 +2489cos135 + 66tg90 + 90ctg0
53. Hisoblang; 4cos150 - 88sin240 -3tg210 + 94cos135 + tg90 + ctg0
54. Hisoblang; 4cos150 + sin240 + 3tg210 + 24cos135 +98 tg90 + ctg0
55. Hisoblang; 22sin300 - 32cos45 + 21cos90
56. Soddalashtiring: cos( - sin
57. Soddalashtiring: cos( + sin
58. Soddalashtiring: cos( - sin
59. Soddalashtiring: cos( + sin
60. Soddalashtiring: sin( - sin
61. Soddalashtiring: sin( - sin
62. Soddalashtiring: sin( - cos
63. Soddalashtiring: sin( +cos
64. Soddalashtiring: sin( - cos
65. Soddalashtiring: cos( - cos
66. Soddalashtiring: sin( - sin
67.Tenglamani yeching: (x + 9)/9 - (x - 7)/7 = (x + 8)/9 + (x - 6)/8
68. Tenglamani yeching: (x + 1)/6 + (x - 3)/2 = (x - 5)/9 - (x - 1)/8
69. Tenglamani yeching: (x + 5)/5 + (x - 7)/6 = (x + 2)/6 - (x - 7)/2
70. Tenglamani yeching: (x - 8)/1 + (x - 7)/9 = (x + 2)/8 + (x - 9)/1
71. Tenglamani yeching: (x + 1)/4 - (x + 3)/3 = (x - 1)/4 - (x + 7)/7
72) Tenglamani yeching: (x + 3)/1 + (x + 8)/7 = (x + 8)/4 + (x - 2)/2
73) Tenglamani yeching: (x + 4)/9 + (x - 3)/9 = (x + 4)/2 + (x + 7)/3
74) Tenglamani yeching: (x + 4)/8 + (x - 6)/3 = (x + 7)/7 + (x - 7)/9
75) Tenglamani yeching: (x + 2)/6 + (x + 2)/8 = (x - 8)/6 + (x - 2)/3
76) Tenglamani yeching: (x + 8)/9 - (x - 8)/4 = (x - 8)/2 - (x + 5)/9
77) Tenglamani yeching: (x - 3)/3 - (x - 6)/1 = (x + 9)/1 - (x - 9)/3
78) Tenglamani yeching: (x + 2)/9 - (x + 7)/2 = (x - 6)/3 - (x + 9)/7
79) Tenglamani yeching: (x + 8)/9 + (x + 8)/3 = (x + 4)/8 + (x - 4)/5
80) Tenglamani yeching: (x - 5)/6 + (x - 3)/5 = (x - 7)/3 + (x + 5)/5
81) Tenglamani yeching: (x - 1)/6 + (x - 4)/6 = (x + 5)/4 + (x - 7)/8
82) Tenglamani yeching: (x - 1)/4 - (x - 3)/9 = (x + 8)/4 + (x - 6)/9
83) Tenglamani yeching: (x + 7)/5 - (x + 8)/8 = (x - 9)/1 + (x - 7)/6
84) Tenglamani yeching: (x + 8)/5 - (x + 5)/1 = (x + 4)/6 - (x - 6)/3
85) Tenglamani yeching: (x - 6)/6 + (x - 9)/6 = (x + 5)/6 - (x - 3)/5
86) Tenglamani yeching: (x - 4)/8 - (x + 3)/6 = (x + 1)/6 - (x + 4)/4
87) Tenglamani yeching: (x + 6)/1 - (x - 6)/1 = (x + 8)/7 + (x + 7)/8
88) Tenglamani yeching: (x - 2)/6 - (x - 6)/4 = (x - 3)/2 - (x + 4)/1
89) Tenglamani yeching: (x - 7)/3 - (x + 4)/6 = (x + 7)/3 + (x - 1)/7
90) Tenglamani yeching: (x + 8)/3 - (x - 4)/3 = (x - 1)/2 + (x + 8)/6
91) Tenglamani yeching: (x - 3)/3 + (x - 2)/7 = (x + 7)/7 + (x + 8)/8
92) Tenglamani yeching: (x + 9)/2 - (x - 8)/4 = (x - 2)/3 - (x - 2)/3
93) Tenglamani yeching: (x - 9)/9 - (x - 2)/4 = (x + 1)/8 + (x + 6)/5
94) Tenglamani yeching: (x - 6)/2 - (x + 8)/5 = (x + 4)/9 + (x + 1)/7
95) Tenglamani yeching: (x + 1)/5 - (x + 2)/8 = (x - 3)/5 - (x + 4)/6
96) Tenglamani yeching: (x - 7)/5 - (x + 4)/8 = (x + 9)/6 - (x - 4)/3
97) Tenglamani yeching: (x - 1)/5 - (x - 9)/5 = (x - 6)/5 + (x - 4)/9
98) Tenglamani yeching: (x + 7)/8 - (x + 5)/9 = (x - 9)/9 - (x + 1)/6
99) Tenglamani yeching: (x - 5)/2 - (x + 9)/7 = (x + 2)/4 - (x + 1)/4
100) Tenglamalar sistemasini yeching: 2x+7y=9, 8x+8y=2
101) Tenglamalar sistemasini yeching: 3x-6y=3, 4x+2y=3
102) Tenglamalar sistemasini yeching: 5x-3y=5, 6x+2y=4
103) Tenglamalar sistemasini yeching: 7x-y=2, 9x+3y=4
104) Tenglamalar sistemasini yeching: 9x-8y=6, 9x-8y=4
105) Tenglamalar sistemasini yeching: x+8y=8, 7x-5y=2
106) Tenglamalar sistemasini yeching: 2x-3y=2, 6x+8y=3
107) Tenglamalar sistemasini yeching: 5x-4y=6, 4x-2y=7
108) Tenglamalar sistemasini yeching: x+4y=4, 7x+3y=
109) Tenglamalar sistemasini yeching: 6x+9y=9, 7x-6y=6
110) Tenglamalar sistemasini yeching: 9x-y=7, 3x+4y=8
111) Tenglamalar sistemasini yeching: 8x+8y=6, 3x-3y=4
112) Tenglamalar sistemasini yeching: 3x-5y=9, 4x-8y=9
113) Tenglamalar sistemasini yeching: 6x-4y=3, 3x+5y=2
114) Tenglamalar sistemasini yeching: 7x-6y=9, 4x-2y=4
115) Tenglamalar sistemasini yeching: 9x+7y=6, 7x-6y=2
116) Tenglamalar sistemasini yeching: 8x+2y=5, 2x+5y=5
117) Tenglamalar sistemasini yeching: 7x+9y=8, 3x-8y=3
118) Tenglamalar sistemasini yeching: 3x+4y=2, 5x-2y=5
119) Tenglamalar sistemasini yeching: 3x-5y=2, 8x-4y=4
120) Tenglamalar sistemasini yeching: 2x-9y=8, 9x-8y=9
121) Tenglamalar sistemasini yeching: 9x+4y=5, 3x+7y=9
122) Tenglamalar sistemasini yeching: 6x-8y=4, 4x-9y=3
123) Tenglamalar sistemasini yeching: 4x-3y=7, 8x+3y=9
124) Tenglamalar sistemasini yeching: 2x+y=5, 4x-9y=3
125) Tenglamalar sistemasini yeching: 7x-y=8, 4x+8y=3
126) Tenglamalar sistemasini yeching: 9x+4y=4, 6x+5y=5
127) Tenglamalar sistemasini yeching: 2x-3y=2, 4x-7y=9
128) Tenglamalar sistemasini yeching: 3x+2y=7, 6x-4y=9
129) Tenglamalar sistemasini yeching: 6x-9y=8, 2x+6y=6
130) Tenglamalar sistemasini yeching: 6x+9y=5, 3x+2y=9
131) Tenglamalar sistemasini yeching: 7x-3y=9, 3x-7y=6
132) Tenglamalar sistemasini yeching: 9x+8y=5, 9x-3y=5
133) Tenglamalar sistemasini yeching: x-3y=3, 6x-3y=6
134) Tenglamalar sistemasini yeching: 2x+5y=9, 8x-4y=2
135) Tenglamalar sistemasini yeching: 9x+3y=9, 2x+6y=8
136) Tenglamalar sistemasini yeching: 4x+2y=8, 9x-3y=7
137) Tenglamalar sistemasini yeching: 8x+6y=8, 6x+8y=6
138) Tenglamalar sistemasini yeching: 7x-6y=7, 3x-3y=9
139) Tenglamalar sistemasini yeching: 3x-y=5, 8x-6y=3
140) Tenglamalar sistemasini yeching: 9x+8y=5, x+7y=3
141) Tenglamalar sistemasini yeching: 8x-8y=3, 9x-6y=5
142) Tenglamalar sistemasini yeching: 4x-5y=3, 9x-8y=9
143) Tenglamalar sistemasini yeching: 6x-4y=6, 9x+4y=4
144) Tenglamalar sistemasini yeching: 4x+y=7, 6x+6y=3
145) Tenglamalar sistemasini yeching: 4x-4y=5, 8x-8y=6
146) Tenglamalar sistemasini yeching: 4x-4y=9, 2x+6y=4
147) Tenglamalar sistemasini yeching: 2x+3y=4, 8x+3y=7
148) Tenglamalar sistemasini yeching: 2x+6y=6, 6x+5y=3
149) Tenglamalar sistemasini yeching: 8x-2y=7, 8x+7y=8
150) Tenglamalar sistemasini yeching: 8x+3y=9, 6x-9y=4
151) Tenglamalar sistemasini yeching: x+5y=4, 4x+6y=5
152) Tenglamalar sistemasini yeching: 4x+2y=7, 3x-3y=8
153) Tenglamalar sistemasini yeching: 5x+4y=7, x+7y=5
154) Tenglamalar sistemasini yeching: 4x-9y=2, 4x-2y=5
155) Tenglamalar sistemasini yeching: 8x-y=3, 7x+6y=4
156) Tenglamalar sistemasini yeching: x-4y=6, 4x-4y=5
157) Tenglamalar sistemasini yeching: 4x+5y=9, 8x-9y=4
158) Tenglamalar sistemasini yeching: 3x-6y=3, 8x+8y=3
159) Tenglamalar sistemasini yeching: x+4y=8, 7x-5y=4
160) Tenglamalar sistemasini yeching: 2x-3y=5, x-5y=3
161) Tenglamalar sistemasini yeching: 3x-3y=4, 5x-7y=2
162) Tenglamalar sistemasini yeching: 2x-8y=3, 6x+5y=5
163) Tenglamalar sistemasini yeching: 2x+y=5, x-8y=5
164) Tenglamalar sistemasini yeching: 5x+5y=7, 5x-3y=8
165) Tenglamalar sistemasini yeching: 2x+7y=7, x+8y=2
166) Tenglamalar sistemasini yeching: 6x-4y=6, x+3y=6
167) Tenglamalar sistemasini yeching: 4x+2y=5, 3x-3y=2
168) Tenglamalar sistemasini yeching: 6x+3y=6, 7x+2y=7
169) Tenglamalar sistemasini yeching: 3x+9y=4, 6x+8y=3
170) Tenglamalar sistemasini yeching: x-5y=8, 6x-2y=7
171) Tenglamalar sistemasini yeching: 3x+y=9, 6x-4y=9
172) Tenglamalar sistemasini yeching: 2x+y=2, 6x+8y=5
173) Tenglamalar sistemasini yeching: x+5y=6, 6x-7y=4
174) Tenglamalar sistemasini yeching: 9x-5y=5, 9x-9y=2
175) Tenglamalar sistemasini yeching: 4x-8y=6, 6x+3y=7
176) Tenglamalar sistemasini yeching: 4x-8y=6, 5x+2y=8
177) Tenglamalar sistemasini yeching: 9x+5y=7, 4x+4y=9
178) Tenglamalar sistemasini yeching: x-7y=3, 6x+5y=8
179) Tenglamalar sistemasini yeching: 9x+9y=9, 9x+3y=2
180) Tenglamalar sistemasini yeching: x+y=6, 7x-5y=9
181) Tenglamalar sistemasini yeching: 2x+2y=5, 4x+8y=6
182) Tenglamalar sistemasini yeching: x+9y=9, 3x+8y=3
183) Tenglamalar sistemasini yeching: 7x-y=8, 5x+5y=6
184) Tenglamalar sistemasini yeching: 7x-7y=5, 8x+7y=4
185) Tenglamalar sistemasini yeching: 6x+2y=8, 2x-5y=8
186) Tengsizlikni yeching: (8x-1)/4-(8x-6)/1<6
187) Tengsizlikni yeching: (9x-5)/8+(6x-1)/5<9
188) Tengsizlikni yeching: (3x-4)/7-(6x-7)/5<6
189) Tengsizlikni yeching: (3x+1)/3+(2x+3)/2<1
190) Tengsizlikni yeching: (3x+2)/6+(9x-2)/6<4
191) Tengsizlikni yeching: (x-6)/6+(6x-7)/6<8
192) Tengsizlikni yeching: (1x-8)/4+(7x+9)/5>9
193) Tengsizlikni yeching: (6x-9)/1-(6x+8)/8>9
194) Tengsizlikni yeching: (x-2)/7+(2x-9)/1<4
195) Tengsizlikni yeching: (8x-6)/2-(2x-3)/9<6
196) Tengsizlikni yeching: (7x+6)/8+(2x-4)/1<8
197) Tengsizlikni yeching: (5x+9)/6+(x+4)/3<3
198) Tengsizlikni yeching: (2x+2)/6-(6x+4)/6>6
199) Tengsizlikni yeching: (3x-9)/4-(5x+4)/9>5
200) Tengsizlikni yeching: (2x-7)/3-(8x-5)/5<2
201) Funksiyaning aniqlanish sohasini toping. y = log₄ x
202) Funksiyaning aniqlanish sohasini toping. y = log₂ (x – 1)
203) Funksiyaning aniqlanish sohasini toping. y = log₃ (x2 – 2x – 3)
204) Funksiyaning aniqlanish sohasini toping. y = log₄ (x² – 4)
205) Funksiyaning aniqlanish sohasini toping. y = lg(3 – x)
206) Funksiyaning aniqlanish sohasini toping. y = –log₂ (x² + 5x – 6)
207) Funksiyaning grafigini chizing. a) y = log₃ x
208) Funksiyaning grafigini chizing. y = log₂(5x + 1)
209) Funksiyaning grafigini chizing. y = log₂(x2 – 2x + 1)
210) Funksiyaning grafigini chizing. y = log₄(x – 1)
211) Funksiyaning grafigini chizing. y = lg(3 – x)
212) Funksiyaning grafigini chizing. y = –log₂(x2 + 5x – 6)
213) Funksiyaning grafigini chizing. y = log₄(3x – 2)
214) Funksiyaning grafigini chizing. y = log₂(x – 1)
215) Funksiyaning grafigini chizing. y = log₃(x2 – 2x – 3)
216) Funksiyaning grafigini chizing. y = log₄(x2 – 4)
217) Funksiyaning grafigini chizing. y = lg(3 – 3x)
218) Funksiyaning grafigini chizing. y = –log₂(x2 + 5x – 6)
219) Hisoblang: log₂8+log₂4
220) Hisoblang: log₃9+log₃81
221) Logarifmik ifoda qiymatini toping; log₂64
222) Logarifmik ifoda qiymatini toping; log₃729
223) Logarifmik ifoda qiymatini toping; log_0.225
224) Logarifmik ifoda qiymatini toping; log_0.5128
225) Logarifmik ifoda qiymatini toping; log₂1
226) Logarifmik ifoda qiymatini toping; lg1000
227) Logarifmik ifoda qiymatini toping; lne⁷⁷³
228) Logarifmik ifoda qiymatini toping; lg10⁹⁹⁹
229) a=log₃₆108 bo’lsa, log₂3 ni a orqali ifodalang?
230) a=log₇₅135 bo’lsa, log₅3 ni a orqali ifodalang?
231) a=log₁₄₇189 bo’lsa, log₇3 ni a orqali ifodalang?
232) a=log₅₀80 bo’lsa, log₅2 ni a orqali ifodalang?
233) Koʻrsatkichli tenglamani yeching: 3^x * 3= 81
234) Koʻrsatkichli tenglamani yeching: 4^3x * 2^x =128
235) Koʻrsatkichli tenglamani yeching: 5^x+1 – 4*5^x = 25
236) Koʻrsatkichli tenglamani yeching: 3^x = 729
237) Koʻrsatkichli tenglamani yeching: 111^x = 0
238) Koʻrsatkichli tenglamani yeching: 2^x+1 = 5^x+1
239) Koʻrsatkichli tenglamani yeching: 4^x+ 6^x =2*9^x
240) Logarifmik tenglamani yeching; log₃(3x-1)=2
241) Logarifmik tenglamani yeching; log₇(x+3)=2
242) Logarifmik tenglamani yeching; log₄(2x-3)=4
243) Logarifmik tenglamani yeching; log₄2x=1/2
244) Logarifmik tenglamani yeching; log₃x + log_x9 = 3
245) Logarifmik tenglamani yeching; log₃x *log₉x *log₂₇x *log₈₁x=2/3
246) Logarifmik tenglamani yeching; log₃(x-1)=2
247) Logarifmik tenglamani yeching; log₃(2x²-3x)=2log₃x
248) Logarifmik tenglamani yeching; lg5x/2= 1
249) Logarifmik tenglamani yeching; lg(3x-11) + lg(x-27) =3
250) Logarifmik tenglamani yeching; log₇(6+7^-x)=1+x

Tuzuvchi: Mr.BOTIROV.