Test. Modul+Progressiya
___________________________________(ism familiya)
1.
3.
17. Tengsizlikni yeching.
|3−4|7−5||
B) 0,5 C) 1
A) 1
2.
|4−5|4−6|+4|3−6||
Hisoblang.
2
D)
5
4
5
6
E) 1
√𝑥 2 + √𝑥 4 ≤ 4
1
5
Agar p>q>k>0 bo’lsa,
|𝑝 + 𝑞| − |𝑘 − 𝑞| + |𝑘 − 𝑝| ni soddalashtiring.
A) 2p B) 2p+2q-2k C) 2p=2q=2k D) 2p=2k
E) 2q-2k
Tenglamaning nechta yechimi bor?
|x+1|=|2x-1|
4.
A) 4 B) 3 C) 2 D) 1 E) ∅
Tenglamaning ildizlari yig’indisini toping.
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|x+3|+|x-1|+|x-4|=6
A) ∅ B) 0 C) -4 D) 1 E) -2
5. Tenglamaning ildizlari yig’indisini toping.
|x+4|+|x-2|+|x-3|=7
A) 2 B) ∅ C) 0 D) -2 E) 1
6. Tenglamaning nechta yechimi bor?
𝑥 2 + |𝑥| − 2 = 0
A) 0 B) 1 C) 2 D) 3 E) 4
7. Tengsizlikni yeching.
|𝑥 − 1| ≥ 1
A) [0; 2] B) (−∞; 0] ∪ [2; ∞) C) [−2; 0]
D) (0; 2) E) [−1; 2]
8. |𝑥 2 − 3𝑥| < 10 tengsizlikning butun sonlardan
iborat yechimlari yig’indisini toping.
A) 6 B) 7 C) 9 D) 12 E) 16
9. a ning qanday qiymatlarida
3|𝑥| + 𝑦 = 2
{
sistema yagona yechimga ega ?
|𝑥| + 2𝑦 = 𝑎
A) a=0 B) a>0 C) a=2 D) a=−2 E) a=4
10. Tenglama ildizlari ko’paytmasini toping.
4
√𝑥 2 + 77 − 2 √𝑥 2 + 77 − 3 = 0
A) -3 B) 3 C) 4 D) -4 E) -6
11. Tenglamani yeching.
√5 − 4𝑥 + 5 = 4𝑥
A)
4
B)
5
5
C)
4
4
5
5
𝑣𝑎
4
D) −
4
E) −
5
5
4
12. Tenglamani yeching.
3
3
√𝑥 2 √𝑥 2 3√𝑥 2 … = 49
A) 49, -49 B) 7 C) 39 D) 50 E) 24
13. Agar √𝑥 + 3 − √𝑥 + 14 + √𝑥 + 3 + √𝑥 + 14 = 4
bo’lsa,
A)
2
3
𝑥
𝑥+1
ning qiymatini hisoblang.
B) −
2
3
C) 3 D)
3
2
E) −
3
2
14. Tenglamani yeching
3
3
√𝑥 + √𝑥 + 3√𝑥+. . . = 4
A) 56 B) 48 C) 60 D) 54 E) 64
15. Tengsizlikni yeching. √3𝑥 − 8 < −2
A) 𝑥 < 4 B) 𝑥 ∈ ∅ C) 𝑥 >
8
3
D) 𝑥 > 4
16. Tengsizlikni qanoatlantiruvchi butun sonlar nechta?
A)
𝐴)(−∞; 2]
B) [2; ∞) C) [−2; 2] D) [−2; ∞) E) [−1; 1]
18. Agar 𝑎1 + 𝑎3 +𝑎5 = −12 va 𝑎1 𝑎3 𝑎5 = 80 ekani
ma’lum bo’lsa, arifmetik progressiyaning dastlabki
uchta hadini toping.
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19. Yig’indisi 16 ga, ikkinchi hadi −0,5 ga teng bo’lgan
|𝑞| < 1 maxrajli cheksiz geometrik progressiyaning
3-hadini toping.
√5 − 𝑥 2 > 𝑥 − 1
5 B) 3 C) 4 D) 2 E) 1
20. 𝑥 4 − 10𝑥 2 + 𝑎 = 0 tenglamaning ildizlari
arifmetik progressiyani tashkil etadi. 𝑎 ni toping.
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21. Agar 𝑎4 + 𝑎8 + 𝑎12 + 𝑎16 = 224 ekanligi ma’lum
bo’lsa, 𝑎1 , 𝑎2 , 𝑎3 , … arifmetik progressiya dastlabki
19 ta hadining yig’indisini toping.
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22. Tenglamani yeching:
𝑥−1 𝑥−2 𝑥−3
1
+
+
+⋯+ = 3
𝑥
𝑥
𝑥
𝑥
bu yerda 𝑥 - musbat butun son.
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23. Yettiga bo’linadigan barcha uch xonali sonlarning
yig’indisini toping.
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24. Yig’indini toping:
1 2
1 2
1 2
(2 + ) + (4 + ) + ⋯ + (2𝑛 + 𝑛 )
2
4
2
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25. 1- , 2- va oxirgi hadi, mos ravishda, 3, 12 va 3072
ga teng bo’lgan chekli geometrik progressiyaning
hadlari sonini toping.
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26. 3 ga qoldiqsiz bo’linadigan barcha musbat juft ikki
xonali sonlarning yig’indisini toping.
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27. Sayyoh tog’ga ko’tarilayotib, 1-soatda 800 m
balandlikka chiqdi, keying har bir soatda esa
oldingisiga nisbatan 25 m kam balandlikka
ko’tarildi. U 5700 m balandlikka necha soatda
ko’tarilgan?
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28. Arifmetik progressiya 3- va 9- hadlarining yig’indisi
8 ga teng. Shu progressiyaning dastlabki 11 ta
hadining yigindisini toping.
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29. Hisoblang:
(1 + 32 + 52 + ⋯ + (2𝑛 − 1)2 + ⋯ + 1992 ) −
−(22 + 42 + 62 + ⋯ + (2𝑛)2 + ⋯ + 2002 )
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𝑎
30. Biror arifmetik progressiyaga 2𝑛 = −1 bo’ladigan
𝑎2𝑚
𝑎2𝑛 va 𝑎2𝑚 hadlar kirishi ma’lum. Bu
progressiyaning nolga teng hadi bormi? Agar bor
bo’lsa, u progressiyaning nechanchi nomerli hadi
bo’ladi?
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17 ta ochiq test va 13 ta yopiq test. Barcha javoblarni testga belgilaysilar.
Kenjayev Asliddin