Ix-sinf Algebra. I-chorak. Test. A-variant
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9-sinf-uchun-Algebradan-4-variantli-testlar
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1. MNPQ to’g’ri to’rtburchak uchta uchining koordinatalari berilgan.M(0;0),N(0;2),P(3;2).Q uchining koordinatalarini toping. #1(3;0) #2 (0;3) #3 (2;3) #4 (2;0) #5 (-3;0) 2. MNPQ kvadrat uchlarining koordinatalari berilgan:M(0;0),N(0;1), P(1;1),Q(1;0).Uning diagonallari kesishish nuqtasining koordinatalarini toping. #1 (1;1/2) #2 (1/2;1/2) #3 (1/2;2) #4 (1/2;1/3) #5 (1;1/4) 3. Quyidagi nuqtalarning qaysilari y=3x+7 funksiya grafigiga tegishli: 1)(0;7);2)(1;11);#) (-1;4); 4) (-2;1) 5) (-3;2); 6) (2;10)? #1 1,2,5 #2 2,4,6 #3 1,3,4 #4 3,4,6 #5 4,5,6 4. Quyidagi nuqtalarning qaysilari y=-2x+5 funksiya grafigiga tegishli emas: 1)(1;-3); 2) (0;5); 3) (2;3); 4) (3;-1); 5) (-1;6); 6) (-2;9) ? #1 2,3,4 #2 4,5,6 #3 1,2,4 #4 1,3,5 #5 1,3,6 5.y=-2x-1 funksiya frafigi qaysi choraklarda yotadi? #1 I,II,III #2 I,III,IV #3 I,II,IV #4 II,III #5 II,III,IV
6. Kvadrat funksiyani toping.Bu yerda a,b,c sonlar x o’zgaruvchi,a #1 y=ax
3 +bx
2 +c #2 y=ax 2 +bx+c #3 y=ax+b #4 y= #5 y=ax 5 +bx
3 +c
7. y=x 2 +px+q kvadrat funksiyaning nollari x 1 =5,x
2 =-4 bo’lsa p koeffitsiyentni toping. #1 1 #2 -1 #3 20 #4 -20 #5 0 8. y=x
2 funksiya grafigiga tegishli nuqtani belgilang: #1 (-3;3) #2 (-6;36) #3 (4;15) #4 (5;-25) #5 (0;10) 9. y=x
2 parabola bilan y=2x+3 to’g’ri chiziqning kesishish nuqtalari koordinatalari yig’indisini toping. #1 5 #2 4 #3 -5 #4 2 #5 0 10. x
oraliqda o’suvchi bo’lgan funksiyani belgilang. #1 y=-2x
2 #2 y=
2 #3 y=-5x 2 #4 y=-3x 2 #5 TJY 11. Parabolaning tarmoqlari qachon pastga yo’nalgan bo’ladi? #1 a
12. b ning shunday qiymatini topingki,y=3x 2 parabola bilan y=2x+b to’g’ri chiziqning kesishish nuqtalaridan birining abssissasi x=1 bo’lsin. #1 b=2 #2 b=-1 #3 b=1 #4 b= -2 #5 b=3 13. Parabolaning koordinata o’qlari bilan kesishish nuqtalarining koordinatalarini toping y=-x 2 +6x+7 #1 (-1;0),(-7;0),(0;-7) #2 (-1;0),(7;0),(0;7) #3 (1;0), (7;0),(0;-7) #4 (-1;2), (7;-1), (7;0) #5 (3;16) 14. y=-5x 2 +4x +1 parabola uchining koordinatalarini toping: #1 (2/5; 9/5) #2 (-2/5; 9/5) #3 (-9/5;2/5) #4 (2;9) #5 (9;5) 15. y=x
2 -4x+6 parabola qaysi choraklarda joylashgan? #1 I,IV #2 II,III #3 I,II,III,IV #4 II,III,IV #5 I,II 16. Ikki musbat sonning yig’indisi 160 ga teng.Agar shu sonlar kublarining yig’indisi eng kichik bo’lsa,shu sonlarni toping. #1 95;65 #2 155;5 #3 75;85 #4 80;80 #5 90;70 17. Tengsizlikni yeching: 3x 2 -9 0
#1 x< 3 #2 x> 3 #3 x<- 3 ,x>
3 #4 x
3 #5 x<3 18. (x-1)(x+7)<0 tengsizlikni yeching. #1 x>-7 #2 -7 19.
tengsizlikni yeching. 2 +px+9=0 tenglama haqiqiy ildizga ega emas? 21. a ning qanday qiymatida ax 2 -8x-2<0 tengsizlik x ning barcha qiymatlarida o’rinli bo’ladi? 22. tengsizlikning barcha butun yechimlari yig’indisini toping. 23. tengsizlikni yeching 24. Agar y=x 2 +px+q kvadrat funksiyaning x 1 =5 va x
2 =-3 nollari bo’lsa p va q koeffitsiyentlar yig’indisini toping. 25. x ning qanday qiymatlarida y=x 2 funksiyaning qiymati 81 dan kichik bo’ladi?
1. a ning qanday qiymatlarida ax 2 -(a+1)x+2a-1=0 tenglama bitta ildizga ega bo'ladi? #1 -1;1/7 #2 0;-1 #3 1;-1/7 #4 -1/7;0;1 #5 -1;0;1/7 2. m ning qanday qiymatlarida x 2 -4mx+48=0 tenglamaning ildizlaridan biri boshqasidan 3 marta kichik bo'ladi? #1 2 #2 -4;4 #3 -3;3 #4 4 #5 -2;2 3. x 2
1 va x
2 bo'lsa ni hisoblang #1 1 #2 3 #3 4 #4 0 #5 -2 4. =x+2 tenglamaning nechta ildizi bor? #1 3 #2 2 #3 1 #4 ildizi yo'q #5 cheksiz ko'p 5. tenglamaning ildizlari nechta? #1 2 #2 4 #3 1 #4 3 #5 0 6. y= 3x
2 +2x-7 kvadrat funksiyani x=-1 dagi qiymatini toping #1 6 #2 9 #3 -1 #4 -6 #5 8 7. y=x
2 +px+q kvadrat funksiyaning nollari x 1 =5,x
2 =-4 bo’lsa q koeffitsiyentni toping. #1 1 #2 -1 #3 20 #4 -20 #5 0 8. y=x
2 funksiya qaysi oraliqda o’suvchi bo’ladi? #1 x
2 funksiyaning qiymati 49 dan katta emas #1 x
2 +18x-7
#1 (-3;3) #2 (-6;36) #3 (4;15) #4 (5;-25) #5 (3;8) 11. To’g’ri to’rtburchakning perimetri 600 m.To’g’ri to’rtburchakning yuzi eng katta bo’lishi uchun uning asosi bilan balandligi qanday bo’lishi kerak? #1 150m;150m #2 180m;120m #3 200m;100m #4 160m;140 m #5 TJY 12.Parabolaning koordinata o’qlari bilan kesishish nuqtalarining koordinatalarini toping y=x 2 -2x+4 #1 (-1;3) #2 (3;1) #3 (1;3) #4 (0;4) #5 (4;0) 13.y=x
2 -4x parabola uchining koordinatalarini toping: #1 (0;4) #2 (4;2) #3 (2;-4) #4 (-4;2) #5 (0;-4) 14. Abssissalar o’qini x=1 va x=2 nuqtalarda ,ordinatalar o’qini esa y=1/2 nuqtada kesib o’tuvchi parabolaning tenglamasini yozing. #1 y=1/2 x 2 -3/4x+1/2 #2 y=1/4x 2 -3/4x +1/2 #3 y=x 2 -3x+2 #4 y=x 2 -3/2x +1/2 #5 to’g’ri javob yo’q 15. y=-x 2 -6x-11 parabola qaysi choraklarda joylashgan? #1 III,IV #2 I,II,III #3 II,III,IV #4 I,III,IV #5 I,II 16. Ikki musbat sonning yig’indisi a ga teng.Agar shu sonlar kvadratlarining yig’indisi eng kichik bo’lsa,shu sonlarni toping. #1 2a/3,3a/5 #2 a 3 ,a
-a #3 3a/4,a/4 #4 a 2 ;a-a 2 #5 a/2;a/2 17. Tengsizlikni yeching: x 2 +7x 0
#1 x>0 #2 x>7 #3 0 0 , 7 x #5 -7
0 x
18. 6x 2 +5x-6>0 tengsizlikni yeching. #1 x> #2 x<
19. tengsizlikni yeching. 20. a ning qanday qiymatlarida ax 2 +4x+9a<0 tengsizlik x ning barcha qiymatlarida o’rinli bo’ladi? 21. a ning qanday qiymatlarida 4(x+2)=5-ax tenglamaning ildizi -2 dan katta bo’ladi? 22.
tengsizlikni yeching. 23.
tengsizlikni yeching 24. Agar y=x 2 +px+q kvadrat funksiyaning x 1 =5 va x
2 =-3 nollari bo’lsa p va q koeffitsiyentlar ko’paytmasini toping. 25. x ning qanday qiymatlarida y=x 2 funksiyaning qiymati 81ga teng bo’ladi?
1. (x;y) sonlar juftligi 3 5 2 3 y x sistemaning yechimi bo’lsa,y-x ni toping
1 5 3 3 4
x
#1 2 32 3 #3 -3 #4 -2 #5 1 2.( x;y) sonlar juftligi 2 4 3 4 2 7 6 y x y x sistemaning yechimi bo’lsa,x 2 -y
ni toping
0 6
4 3 2 5
x x y
#1 0 #2 1 #3 2 #4 -1 #5 4 3. x;y) sonlar juftligi 3x+7y=23 sistemaning yechimi bo’lsa,x 2 +y
ni toping 5x-2y=11 #1 12 #2 9 #3 13 #4 16 #5 25 4. x
2 +5x-6=0 kvadrat tenglamani kichik ildizini katta ildiziga nisbatini toping #1 6 #2 -6 #3 1/6 #4 -1/6 #5 1 5. x
1 va x
2 x
2 +x-5=0 tenglamaning ildizlari ekanligi ma'lum. x 1 2
2 2 ning qiymatini toping. #1 10 #2 12 #3 11 #4 9 #5 8 6. x ning qanday qiymatlarida y=-x 2 +2x+7 funksiya -8 ga teng qiymat qabul qiladi? #1 0;9 #2 9;8 #3 0;8 #4 -6;6 #5 8;2 7. y=x
2 +px+q kvadrat funksiyaning nollari x 1 =5,x
2 =-4 bo’lsa p va q koeffitsiyentlar yig’indisini toping. #1 1 #2 -1 #3 21 #4 -20 #5 -21 8. y=x
2 funksiya qaysi oraliqda kamayuvchi bo’ladi? #1 x
2 funksiyaning fokusi qaysi nuqtada joylashgan? #1 (0; #5 TJY 10. Funksiyaning eng kichik qiymatini toping. Y=3x 2 -6x+1 #1 6 #2 9 #3 1 #4 -6 #5 8 11.a ning shunday qiymatini topingki,y=ax 2 parabola bilan y=5x+1 to’g’ri chiziqning kesishish nuqtalaridan birining abssissasi x=1 bo’lsin #1 a=6 #2 a=-6 #3 a=4 #4 a=-4 #5 a=7 12. Parabolaning koordinata o’qlari bilan kesishish nuqtalarining koordinatalarini toping y=-x 2 -4x-5 #1 (-1;2) #2 (2;-1) #3 (5;00 #4 (-5;0) #5 (0;-5)
13. y=-x 2 +2x parabola uchining koordinatalarini toping: #1 (-1;-1) #2 (1;-2) #3 ( 0;2) #4 (1;1) #5 (1;-1) 14. Abssissalar o’qini x=-1 va x=3 nuqtalarda ,ordinatalar o’qini esa y=1 nuqtada kesib o’tuvchi parabolaning tenglamasini yozing. #1 y=-x
2 +2x+3 #2 y=-x 2 /3+2x+1 #3 y=-x 2 /3+2/3x+1 #4 y=x 2 /3-2/3x-1 #5 to’g’ri javob yo’q 15. y=-x 2 +5x parabola qaysi choraklarda joylashgan? #1 I,II,III #2 I,III,IV #3 I,II,III,IV #4 II,III,IV #5 to’g’ri javob yo’q 16.Tengsizlikni yeching: 2x 2 -8
#1 -2 2 x #2 -2
x #3 x 2 #4 0 4 x #5 -2
4 x
17. Tengsizlikni yeching: –x 2 +3x
0
#1 x>3 #2 x 0 #3 0 , 0
18. -4x
2 +8x-3>0, tengsizlikni yeching #1 x>
2 +6x+5<0 tengsizlikning barcha natural yechimlari yig’indisini toping. 20. k ning qanday eng kichik butun qiymatida x 2 -2(k+3)x+20+k 2 tenglama ikkita turli haqiqiy ildizlarga ega bo’ladi? 21. Tengsizlikni yeching:
22. tengsizlikning barcha butun yechimlari ko’paytmasini toping. 23. Agar y=x 2 +px+q kvadrat funksiyaning x 1 =5 va x
2 =-3 nollari bo’lsa p koeffitsiyentni toping. 24. Agar y=x 2 +px+q kvadrat funksiyaning x 1 =5 va x
2 =-3 nollari bo’lsa p ni q ga nisbatini toping. 25. x ning qanday qiymatlarida y=x 2 funksiyaning qiymati 81 dan katta emas?
1. x 2
1 va x
2 bo'lsa + ning qiymatini toping #1 124 #2 -125 #3 130 #4 5 #5 -124 2. 2x
2 +x-a=0 tenglamaning ildizlaridan biri 2 ga teng. Ikkinchi ildizni toping #1 2,5 #2 1,5 #3 -2,5 #4 -1,5 #5 -2 3. x
2 -px+8=0 tenglamaning ildizlaridan biri 4 ga teng.Bu tenglamaning barcha koyfitsentlari yigindisini toping #1 3 #2 2 #3 15 #4 14 #5 4 4. x 2
0) tenglama p va q ning qanday qiymatlarida haqiqiy ildizlarga ega emas? #1 [0;2] #2 (0;2] #3 (-2;2] #4 (-2;0) #5
; 2 5. p ning qanday qiymatlarida x 2 +px+15 =0 tenglamaning ildizlaridan biri 5 ga teng bo'ladi? #1 -4 #2 4 #3 -2 #4 2 #5 -8 6. -5 ;0 nollari bo’lgan kvadrat funksiyani belgilang. #1 y=3x
2 +2x+1 #2 y=x 2 +5x #3 y=x 2 +5x-4 #4 y=6x 2 -9x-34 #5 TJY 7. Parabola deb qanday funksiya grafigiga aytiladi? #1 y=ax
3 +bx
2 +c #2 y=ax 2 +bx+c #3 y=ax+b #4 y= #5 y=x 2
8. y=x 2 parabola bilan y=2x+3 to’g’ri chiziqning kesishish nuqtalari koordinatalarini toping. #1 (-1;3) #2 (-6;36) #3 (4;15) #4 (5;-25) #5 (0;10) 9. x
oraliqda o’suvchi bo’lgan funksiyani belgilang. #1 y=2x
2 #2 y=
2 #3 y=5x 2 #4 y=-3x 2 #5 TJY 10. Parabolaning tarmoqlari qachon yuqoriga yo’nalgan bo’ladi? #1 a
11. k ning shunday qiymatini topingki,y=-x 2 parabola bilan y=kx-6 to’g’ri chiziqning kesishish nuqtalaridan birining abssissasi x=2 bo’lsin #1 k=-1 #2 k=1 #3 k=2 #4 k=-2 #5 k= -6 12. Parabolaning koordinata o’qlari bilan kesishish nuqtalarining koordinatalarini toping y=6x 2 -5x+1 #1 (1/3;0), (1/2;0) , (0;1) #2 (-1/3;0),(-1/2;0). (1;0) #3 (0;1/3), (0;1/2), (0;1) #4 (1/3;0), (-1/2;0). (0;-1) #5 to’g’ri javob yo’q 13. y=x 2 +6x +5 parabola uchining koordinatalarini toping: #1 (3;-4) #2 (-5;-1) #3 (-1;-5) #4 (3;4) #5 (-3;-4) 14. y=3x
2 +5x-2 parabola qaysi choraklarda joylashgan? #1 I,II,III #2 II,III,IV #3 I,III,IV #4 I.,II,III,IV #5 I,II,IV 15. y=x
2 -4x parabola qaysi choraklarda joylashgan? #1 I,II,III #2 II,III,IV #3 I,II,IV #4 III,IV #5 I,II 16. Tengsizlikni yeching: -3x 2 +27
0
#1 x 3 #2 -3 3 x #3 x
3 #4 0 9 x #5 -3 0
x
17. (x+3)(x-4)>0 tengsizlikni yeching. #1 x<-3, x>4 #2 -3 18 .
tengsizlikni yeching. #1 2
19.
20. k ning qanday qiymatlarida tenglama manfiy ildizga ega? 21. Tengsizlikni yeching:
22.
tengsizlikni yeching. 23. Agar y=x 2 +px+q kvadrat funksiyaning x 1 =5 va x
2 =-3 nollari bo’lsa q koeffitsiyentni toping. 24. x ning qanday qiymatlarida y=x 2 funksiyaning qiymati 81 dan katta bo’ladi? 25. x ning qanday qiymatlarida y=x 2 funksiyaning qiymati 81 dan kichik emas?
1. Ta’rif. a nomanfiy sonning n 2 natural ko’rsatkichli arifmetik ildizi deb, n-darajasi … ga teng bo’lgan nomanfiy sonni aytiladi. #1 a #2 b #3 n #4 2 #5 3 2. Sonning arifmetik kvadrat ildizini toping. 121 #1 11 #2 13 #3 15 #4 10 #5 24 3. Hisoblang:
#1 2 #2 625 #3 12 #4 49 #5 27 4. Hisoblang:
#1 2 #2 625 #3 12 #4 49 #5 27 5. Tenglamani yeching: 4x 6 = 256 #1 x=7 #2 x=3 #3 x=2 #4 x=-2 #5 - 6. Agar a natural sonlar bo’lib, n bo’lsa u holda #1 ( m
m #2 (
m = #3 ( m = #4 ( m = #5 TJY 7. Hisoblang: (-0,2) -3 +(0,2) -2 -(-2)
-2
#1 -150 4 1 #2 -100 4 1 #3 99 4 1 #4 11,25 #5 -149,75 8. Hisoblang: 4 3 3 61 , 1 15 , 4 54 , 2 ) 61 , 1 ( ) 15 , 4 (
#1 3,4 #2 5,76 #3 24 #4 2,4 #5 2,6 9. Hisoblang: 2 6
) 2 3 ( 2 29 45 3 #1 5-
2 #2 5 2 #3 -1 #4 1 #5 TJY 10. Hisoblang: 3 15625
#1 8 #2 2 #3 2 2 #4 -2 #5 5 11. Hisoblang: 4 4 256 64
#1 4 #2 -2 #3 4 2 #4 8 #5 4 8
12. Hisoblang: 4 2 4 9 1 2 2
#1 7 #2 2 15 #3 3-2 2 #4 7 #5 TJY 13. a=8 bo’lganda 6 : a a ifodaning son qiymatini toping: #1 -25 #2 15 #3 -5 #4 5 #5 3 14. a=0,09 bo’lganda 6 3
a ifodaning son qiymatini toping: #1 0,08 #2 3 4 , 0 #3 0,4 #4 0,3 #5 0,2 15. Ifodani soddalashtiring: ( 3 2 4 3 5 4 5 ) ( ) b a
#1 a -4 .b 2 1 #2 a
4 . 2 1
#3 a 5
2 #4 a
-5 .b -2 #5 a -4 .b 2 16. Ifodani soddalashtiring: ( 3 8
3 5 4 5 ) ( )
a
#1 a -4 .b 2 1 #2 a
4 . 2 1
#3 a -4
2 #4 a
-5 .b -2 #5 a -4 .b 2 17. Sonlarni taqqoslang: a=(3,09) 2 va b=(3 2 ) 11 10
#1 b=a-0,09 #2 a=b-0,09 #3 a>b #4 a=b #5 a
0 2 5 x x tengsizlikning barcha butun yechimlari yig’indisini toping: #1 -3 #2 6 #3 3 #4 14 #5 -5
19. 0 24 11 20 2 2
x x x tengsizlikni yeching. 20. Hisoblang:
21. Ifodani soddalshtiring: *
22. Hisoblang: 23. Hisoblang:
24. Ratsional ko’rsatkichli daraja shaklida tasvirlang: 25. Ratsional ko’rsatkichli daraja shaklida tasvirlang:
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