Question 1

هل تدعم هذه المبادرة؟

Accepted Answer

نعم

Answer

لا

Question 2

.....  ينتمي إلى مجموعة الأعداد  $\sqrt{11}$

Accepted Answer

الغير نسبية   $I$

Answer

الكلية W

Answer

النسبية Q

Answer

الصحيحة Z

Question 3

$\frac{-5}{8}$  النظير الضربي للعدد⁣

Accepted Answer

$\ -\frac{8}{5}\ $

Answer

1

Answer

$\ \frac{8}{5}\ $

Answer

$\ -\frac{5}{8}\ $

Question 4

............ الخاصية    (13+7)+2 =13+(7+2)   تسمى

Accepted Answer

التجميعية

Answer

الإبدال

Answer

التوزيع

Answer

المحايد الجمعي

Question 5

4(2$x$- 9$y$ ) - ( 3$x$ + 6$y$ )    تبسيط العبارة

Accepted Answer

5$x$-42$y$

Answer

11$x$+42$y$

Answer

5$x$+42$y$

Answer

5$x$-36$y$

Question 6

العلاقة    {(3, 4-), (1-, 0), (3, 0), (5, 3) }  يكون مداها

Accepted Answer

{ 5,3 ,-1}

Answer

{ 0,3,5 ,-1}

Answer

{ 3,0 ,-4}

Answer

{ 1,-3 ,-4}

Question 7

أي العلاقات الأتية تمثل دالة ؟

Accepted Answer

A

Answer

B

Answer

D

Answer

C

Question 8

$F\left( xight) =\begin{cases} x-2,x < 3\ x+3,x\geq 3\end{cases} $  في الدالة  f(2) أوجد

Accepted Answer

0

Answer

5

Answer

-5

Answer

4

Question 9

أي من المتباينات الأتية تمثل بالشكل التالي

Accepted Answer

x -y ≤2

Answer

x - y > 2

Answer

x - y <2

Answer

x - y ≥ 2

Question 10

اختر التمثيل البياني الصحيح للدالة

Accepted Answer

C

Answer

B

Answer

D

Answer

A

Question 11

مدى دالة القيمة المطلقة الممثلة بالشكل المقابل هو

Accepted Answer

f(x)≥0

Answer

f(x)≤0

Answer

R

Answer

f(x)>0

Question 12

y=[x]+1     مدى الدالة

Accepted Answer

Z

Answer

W

Answer

R

Answer

Q

Question 13

مجموعة حل النظام المبين بالشكل الأتي هى

Accepted Answer

∅

Answer

y < x-4

Answer

y≤ x-4

Answer

y ≥ x+5

Question 14

أي المتباينات التالية يمثلها الشكل التالي

Accepted Answer

y<|x|-3

Answer

y≥|x|-3

Answer

y>|x|-3

Answer

y≤|x|-3

Question 15

⁣$\left[ \begin{matrix} 0\ 5\ 2\end{matrix} ight]$ نوع المصفوفة التالية

Accepted Answer

عمود

Answer

صفرية

Answer

صف

Answer

مربعة

Question 16

⁣$\left[ \begin{matrix} -2&\quad 1 & \quad 0\\quad3& \quad 5& \quad 1\end{matrix} ight]$  رتبة المصفوفة

Accepted Answer

2 × 3

Answer

3 × 3

Answer

3 × 2

Answer

2 × 2

Question 17

$A=\left[\begin{matrix}-3&\quad5&\quad1\-6&\quad9&\quad3\-4&\quad6&\quad0\end{matrix}ight]$في المصفوفة التالية a13 العنصر

Accepted Answer

1

Answer

5

Answer

- 4

Answer

- 3

Question 18

$P_{1	imes9\ \ }\ .\ \ Q_{9	imes1}\ \ \ \ \ \ $رتبة المصفوفة الناتجة من⁣

Accepted Answer

1 × 1

Answer

1 × 9

Answer

لا يمكن إجراء عملية الضرب

Answer

9 × 9

Question 19

$\left[ \begin{matrix} x+2&\quad -3\ y&\quad -5\end{matrix} ight] =\left[ \begin{matrix} 5&\quad -3\ 2&\quad -5\end{matrix} ight]$ فيما يلي X أوجد قيمة

Accepted Answer

3

Answer

7

Answer

2

Answer

-3

Question 20

$\left[ \begin{matrix}\quad 7&\quad 1\ -2&\quad 3\end{matrix} ight] -\left[ \begin{matrix}\quad 5&\quad 3\ -1&\quad 3\end{matrix} ight]$  أوجد ناتج

Accepted Answer

$\left[ \begin{matrix}\quad2&\quad -2\ -1&\quad\quad 0\end{matrix} ight]$

Answer

$\left[ \begin{matrix}2&\quad -2\ 1&\quad\quad 0\end{matrix} ight]$

Answer

$\left[ \begin{matrix}\quad2&\quad\quad2\ -1&\quad\quad 0\end{matrix} ight]$

Answer

$\left[ \begin{matrix}2&\quad\quad2\ 1&\quad\quad 0\end{matrix} ight]$

Question 21

$\left|\begin{matrix}1&\quad2&\quad1\3&\quad6&\quad1\-1&\quad4&\quad1\end{matrix}ight|$أوجد قيمة

Accepted Answer

12

Answer

18

Answer

28

Answer

-18

Question 22

تساوي   X(1,2) , Y(3,6)   ,Z(-1,4)  حيث XYZمساحة المثلث

Accepted Answer

6 وحدات مربعة

Answer

24 وحدة مربعة

Answer

8 وحدات مربعة

Answer

12 وحدة مربعة

Question 23

$\left[ \begin{matrix} 2\quad& 1\end{matrix} ight] \left[ \begin{matrix} 3\ 2\end{matrix} ight]$ أوجد

Accepted Answer

$\left[ \begin{matrix} 8\end{matrix} \right]$

Answer

$\left[ \begin{matrix} 6\quad& -2\end{matrix} \right] $

Answer

$\left[ \begin{matrix} 6\quad& 2\end{matrix} \right] $

Answer

$\left[ \begin{matrix} 4\end{matrix} \right]$

Question 24

⁣$\left[ \begin{matrix}\quad 2&\quad  8\ -3&\quad  x\end{matrix} ight]$       لكي تكون المصفوفة ليس لها نظير ضربي فإن قيمة x =

Accepted Answer

-12

Answer

12

Answer

-24

Answer

24

Question 25

$\sqrt{-49}$ =

Accepted Answer

$7i$

Answer

7

Answer

$-7i$

Answer

-7

Question 26

$3i . 4i$ = ........

Accepted Answer

-12

Answer

12

Answer

$-12i$

Answer

$12i$

Question 27

$i ^{45}\ \ \ $ =

Accepted Answer

$i$

Answer

-1

Answer

1

Answer

$-i$

Question 28

$\left(6+4i\right)\left(6-4i\right)\ \ \ \ \ \ $ =

Accepted Answer

52

Answer

$36\ +\ 16\ i\ $

Answer

20

Answer

$36\ -\ 16\ i\ $

Question 29

$\left(-1+5i\right)-\left(-2-3i\right)\ \ \ \ \  $ =

Accepted Answer

$1+8i\ \ $

Answer

$-3+8i\ \ $

Answer

$3+8i\ \ $

Answer

$1+2i\ \ $

Question 30

$3a+(4b+2)i=9-6i\quad\quad$        a , b  أوجد قيمتي

Accepted Answer

a = 3 , b = –2

Answer

a = 3 , b = 2

Answer

a = 3 , b = –6

Answer

a = -3 , b = 10

Question 31

$\frac{6+5i}{-2i}\ \ $

Accepted Answer

$-\frac{5}{2}+3i\ $

Answer

$5+6i\ $

Answer

$-3+2i\ $

Answer

$\frac{5}{2}-3i\ $

Question 32

$3x^2+8x+2=0\ \ \ \ \ \ \ $ للمعادلة

Accepted Answer

.جذران حقيقيان غيرنسبيين

Answer

.جذر حقيقي واحد مكرر مرتين

Answer

.جذران حقيقيان نسبيين

Answer

.جذران مركبان مترافقان

Question 33

$x^2+2x-4=-9\ \ \ \ \ \ $مجموعة حل المعادلة

Accepted Answer

$\left\{-1+2i,-1-2i\right\}$

Answer

$\left\{1+2i,1-2i\right\}$

Answer

$\left\{1+4i,1-4i\right\}$

Answer

$\left\{-1+4i,-1-4i\right\}$

Question 34

⁣$7x^3-8x^4-3x^2+9\ \ \ \ \ $درجة كثيرة  الحدود

Accepted Answer

4

Answer

9

Answer

3

Answer

-8

Question 35

⁣$7x^3-8x^5-3x^2+9\ \ \ \ \ $المعامل الرئيسي لكثيرة  الحدود

Accepted Answer

-8

Answer

9

Answer

5

Answer

3

Question 36

$\left(5x^3y^{-5}\right)\left(4xy^3\right)\ \ \ \ $أبسط صورة للمقدار⁣

Accepted Answer

$\frac{20x^4}{y^2}$

Answer

$20x^2y^2\ $

Answer

$\frac{9x^4}{y^2}$

Answer

$\frac{3x^4}{y^2}$

Question 37

$\left(\frac{2}{3b}\right)^3\ \ \ \ $أبسط صورة للمقدار⁣

Accepted Answer

$\frac{8}{27b^3}$

Answer

$\frac{6}{9b^3}$

Answer

$\frac{6}{27b^3}$

Answer

$\frac{8}{9b^3}$

Question 38

$\left(5n^2+11n-6\right)+\left(2n^2-5\right)\ \ \ $بسط

Accepted Answer

$7n^2+11n-11$

Answer

$5n^2+13n-1$

Answer

$7n^2+11n-1$

Answer

$5n^2+11n-1$

Question 39

$\left(m-9\right)\left(m+7\right)\ \ \ $أبسط صورة للمقدار⁣

Accepted Answer

$m^2-2m-63$

Answer

$m^2+2m-63$

Answer

$m^2-2m+63$

Answer

$m^2-16m-63$

Question 40

$(4xy^2-2xy+2x^2y)\div\left(xy\right)\ \ \ $بسط

Accepted Answer

$4y-2\ +2x$

Answer

$4y+2\ +2x$

Answer

$4y\ -2x$

Answer

$4y\ +2x$

Question 41

$\left(a^2-8a-20\right)\div\left(a+2\right)\ \ \ $ناتج قسمة⁣

Accepted Answer

$a\ -\ 10$

Answer

$a\ +\ 6$

Answer

$a\ +\ 10$

Answer

$a\ -\ 6$

Question 42

الدالة الممثلة بالشكل التالي

Accepted Answer

زوجية ولها صفران حقيقيان

Answer

فردية ولها صفر حقيقي

Answer

فردية ولها صفران حقيقيان

Answer

زوجية وليس لها أصفار حقيقية

Question 43

أصفار الدالة الممثلة بالشكل التالي  تساوي

Accepted Answer

3    , -2

Answer

-3    , 2

Answer

-3    , -2

Answer

3    , 2

Question 44

$\left(x^2+3x-9\right)\cdot \left(4-x\right)^{-1}\ \ \ \ $أوجد ناتج

Accepted Answer

$-x-7+\frac{19}{4-x}$

Answer

$-x-7$

Answer

$-x+7+\frac{19}{4-x}$

Answer

$-x-7+\frac{19}{4+x}$

Question 45

أي مما يأتي كثيرة حدود بمتغير واحد

Accepted Answer

$x^2-4x+2$

Answer

$y^2-16y-3x$

Answer

$x^{-4}+16x+6$

Answer

$x^2-16xy-63$

Question 46

$x^6+y^6\ \ \ \ $ تحليل  المقدار  تحليلاً تامّاً⁣

Accepted Answer

$\left(x^2+y^2\right)\left(x^4-x^2y^2+y^4\right)$

Answer

$\left(x^2-y^2\right)\left(x^4-x^2y^2+y^4\right)$

Answer

$\left(x^2+y^2\right)\left(x^4+x^2y^2+y^4\right)$

Answer

$\left(x^2+y^2\right)\left(x^4-x^2y^2-y^4\right)$

Question 47

$150n^8+40n-3\ \ \ \ \ $ الصورة التربيعية للعبارة

Accepted Answer

$6\left(5n^4\right)^2+8\left(5n^4\right)-3$

Answer

$6\left(5n^4\right)^2+10\left(4n^4\right)-3$

Answer

$10\left(15n^4\right)^2+10\left(4n^4\right)-3$

Answer

$30\left(5n^4\right)^2+8\left(5n^4\right)-3$

Question 48

$a^3-64=0\ \ \ \ \ $حلول المعادلة⁣

Accepted Answer

$4\ ,\ -2\pm2i\sqrt{3}$

Answer

4

Answer

$-4\ ,-2\pm2i\sqrt{3}$

Answer

$4 ,2\pm2i\sqrt{3}$

Question 49

$f\left(x\right)=x^3+x^2+x-3\ \ \ \ \ \ $    أي مما يلي يعتبر عامل من عوامل الدالة⁣

Accepted Answer

$x-1$

Answer

$x+1$

Answer

$2x-1$

Answer

$x-2$

Question 50

$f\left(x\right)=2x^4-5x^2-x+14\ \  $   f(2) ⁣أوجد

Accepted Answer

24

Answer

32

Answer

68

Answer

28

Question 51

$f\left(x\right)=x^5+2x^4+4x^3+2x^2+x-3$كم صفر حقيقي موجب  للدالة⁣

Accepted Answer

1

Answer

5

Answer

3

Answer

2

Question 52

تساوي   (f ∙ g)(x) فان   f(x) = 5x+ 2 , g(x) = x – 1   إذا كان

Accepted Answer

$5x^2-3x-2$

Answer

$5x^2-3x+2$

Answer

$6x^2-3x-2$

Answer

$5x^2+3x-2$

Question 53

f(x)={(2, 5),(6,10)}, g(x)={(10,13),(5,8)}إذا كانت
 تساوي [ g ° f ](x) فإن

Accepted Answer

$\left\{(2,8),(6,13)\right\}$

Answer

$\left\{(2,5),(6,13)\right\}$

Answer

$\left\{(2,5),(6,10)\right\}$

Answer

$\left\{(2,8),(10,13)\right\}$

Question 54

تساوي   (f ° g)(x) فان   f(x) = 2x- 5 , g(x) = 4x   إذا كان

Accepted Answer

$8x-5$

Answer

$8x+5$

Answer

$8x-20$

Answer

$8x+20$

Question 55

تساوي   (h ° g)(3) فان   g(x) = x+3 , h(x) = 2x +1  إذا كان

Accepted Answer

13

Answer

10

Answer

5

Answer

7

Question 56

$f^{-1}\left(x\right)\ \ $ فإن  $\ \ $f(x) = 3x – 2 $\ \ $  إذا كانت

Accepted Answer

$\frac{x+2}{3}$

Answer

$3x+2$

Answer

$\frac{x-2}{3}$

Answer

$\frac{x-3}{2}$

Question 57

3x+9 $\ \ \ $أي من الدوال الأتية هى دالة عكسية للدالة

Accepted Answer

$\frac{1}{3}x-3$

Answer

$\frac{1}{3}x+3$

Answer

${3}x+9$

Answer

${3}x-9$

Question 58

$f\left(x\right)=\sqrt{x-8}\ \ \ \ $مجال الدالة⁣

Accepted Answer

$x\ge 8$

Answer

$x\le -8$

Answer

$x>8$

Answer

$x\ge -8$

Question 59

$f\left(x\right)=\sqrt{x-2}+3\ \ \ \ $مدى الدالة⁣

Accepted Answer

$f(x)\ge 3$

Answer

$f(x)\le 3$

Answer

$f(x)\ge 2$

Answer

$f(x)\ge 0$

Question 60

الشكل التالي يمثل أى من الدوال

Accepted Answer

$f\left(x\right)=\sqrt{x-2}+5$

Answer

$f\left(x\right)=\sqrt{x-2}-5$

Answer

$f\left(x\right)=\sqrt{x+2}-5$

Answer

$f\left(x\right)=\sqrt{x+2}+5$

Question 61

$\sqrt[3]{8n^6}\ \ \ \ $ تبسيط⁣

Accepted Answer

$2n^2$

Answer

$2n^3$

Answer

$2n^9$

Answer

$9n^2$

Question 62

$\sqrt[4 ]{16\left(x-3\right)^{12}}\ \ \ \  $تبسيط⁣

Accepted Answer

$2\left(|x-3|\right)^3$

Answer

$2\left(|x-3|\right)^8$

Answer

$4\left(|x-3|\right)^3$

Answer

$\left(|x-3|\right)^3$

Question 63

$\sqrt[5 ]{32m^{15}y^{10}}\ \  \ \ $تبسيط⁣

Accepted Answer

$2m^3y^2$

Answer

$m^3y^2$

Answer

$2m^2y^3$

Answer

$8m^3y^2$

Question 64

$\sqrt{\frac{n^2}{m^8}}\ \ \ \ \ $تبسيط⁣

Accepted Answer

$\frac{|n|}{m^4}$

Answer

$\frac{|n|}{m^6}$

Answer

$\frac{|n|}{m}$

Answer

$\frac{|n|}{m^2}$

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