حلول الأسئلة

السؤال

حل المعادلات الآتية:

الحل

$\begin{aligned} 11 N = - 88 \end{aligned}$

$N = - 88 \div 11 \Rightarrow N = - 8$

مشاركة الحل

فايسبوك

واتساب

تيليجرام

طباعة

الاختبار القبلي

حل الجمل المفتوحة الآتية:

$\begin{aligned} (- 6) + \dots = 15 \end{aligned}$

$\begin{aligned} (- 5) + \dots \dots = - 20 \end{aligned}$

15-

$\begin{aligned} \dots . - 13 = - 33 \end{aligned}$

20-

$\begin{aligned} 2 \times \dots \dots = 24 \end{aligned}$

$\begin{aligned} (- 4) \times \dots \dots = - 32 \end{aligned}$

$\begin{aligned} \dots . . \times (- 5) = 35 \end{aligned}$

$\begin{aligned} 49 \div \dots \dots = 7 \end{aligned}$

$\begin{aligned} (- 84) \div \dots \dots = 7 \end{aligned}$

12-

$\begin{aligned} \dots . \div (- 3) = 12 \end{aligned}$

36-

جد قيمة العبارة الجبرية في كل مما يأتي باستعمال قيمة المتغير المعطاة:

$\begin{aligned} 3^{3} (L - 5) - 7 \times 2^{2}, L = - 8 \end{aligned}$

$\begin{aligned} 3^{3} (- 8 - 5) - 7 \times 2^{2} \\ = 27 (- 13) - 7 \times 4 \\ = - 351 - 28 = - 379 \end{aligned}$

$\begin{aligned} (36 \div N) - 3^{2} (1 - N), N = 6 \end{aligned}$

$\begin{aligned} (36 \div 6) 3^{2} (1 - 6) \\ = 6 - 9 (- 5) 6 + 45 = 51 \end{aligned}$

$\begin{aligned} | - 12 | + X^{3} - 24, X = 2 \end{aligned}$

$\begin{aligned} | - 12 | + (2)^{3} - 24 \\ = 12 + 8 - 24 = - 4 \end{aligned}$

$\begin{aligned} 2 Y \div 4 - | - 24 | \div 2 Y, Y = - 6 \end{aligned}$

$\begin{aligned} 2 (- 6) \div 4 - | - 24 | \div 2 (- 6) \\ = - 12 \div 4 - (24) \div (- 12) \\ = - 3 + 2 = - 1 \end{aligned}$

حل المعادلات الآتية:

$\begin{aligned} X + 80 = 30 \end{aligned}$

$x = 30 - 80 \Rightarrow x = - 50$

$\begin{aligned} D- 11 = - 55 \end{aligned}$

$D = 55 + 11 \Rightarrow D = 44$

$\begin{aligned} 54 - Y = | - 64 | \end{aligned}$

$\begin{aligned} 54 - | - 64 | = y \\ y = 54 - 64 \Rightarrow y = - 10 \end{aligned}$

$\begin{aligned} 4 \times L = 48 \end{aligned}$

$L = 48 \div 4 \Rightarrow L = 12$

$\begin{aligned} X \div 3 = - 21 \end{aligned}$

$x = - 21 \times 3 \Rightarrow x = - 63$

$\begin{aligned} 11 N = - 88 \end{aligned}$

$N = - 88 \div 11 \Rightarrow N = - 8$

$\begin{aligned} | - 6 | \times M = 66 \end{aligned}$

$6 M = 66 \Rightarrow M = 66 \div 6 \Rightarrow M = 11$

$\begin{aligned} - 125 \div K = | - 5 | \end{aligned}$

$\begin{aligned} - 125 \div K = 5 \\ K = - 125 \div 5 \Rightarrow K = - 25 \end{aligned}$

$\begin{aligned} Y \div | - 7 | = 63 \end{aligned}$

$y \div 7 = 63 \Rightarrow y = 63 \times 7 \Rightarrow y = 441$

جد قيمة الجذر التربيعي والتكعيبي للأعداد الصحيحة:

$\sqrt{81}$

$\sqrt{3^{4}} = 3^{2} = 9$

$\sqrt{16}$

$\sqrt{100}$

$\sqrt[3]{- 8}$

$- \sqrt[3]{8} = - 2$

$\sqrt[3]{125}$

$\sqrt[3]{- 1000}$

10-

اكتب المقادير الجبرية التالية بأبسط صورة:

$\begin{aligned} 3 X Y + 7 X^{2} - 2 X Y - 3 X^{2} = \dots \dots \end{aligned}$

$\begin{aligned} (3 - 2) X Y \div (7 - 3) X^{2} \\ = X Y \div 4 X^{2} \end{aligned}$

$\begin{aligned} 4 (X - 2 Y) + 5 (Y - 2 X) = \dots \dots \end{aligned}$

$\begin{aligned} 4 x - 8 y + 5 y - 10 x \\ = (4 - 10) x + (- 8 + 5) y \\ = - 6 x - 3 y \end{aligned}$

$\begin{aligned} 14 Z^{2} \div 7 Z + 9 X^{3} \div 3 X^{2} = \dots \dots . \end{aligned}$

$\frac{14 Z^{2}}{7 Z} + \frac{9 X^{3}}{3 X^{2}} = 22 + 3 X$

$\begin{aligned} 5 Y (3 + 2 X) - 3 X (6 - Y) = \dots \dots \end{aligned}$

$\begin{aligned} 15 Y + 10 X Y - 18 X + 3 X Y \\ = 15 Y + 13 X Y - 18 X \end{aligned}$

جد القيمة العددية للمقادير الجبرية الآتية:

$\begin{aligned} 7 X + 9 X^{2} - 5 X, X = 2 \end{aligned}$

$\begin{aligned} 7 (2) + 9 (2)^{2} - 5 (2) \\ = 14 + 36 - 10 = 40 \end{aligned}$

$\begin{aligned} 8 (3 + 2 Y) - 2 (Y - 4), Y = 7 \end{aligned}$

$\begin{aligned} 8 (3 + 2 (3)) - 2 (3 - 4) \\ = 8 (9) - 2 (- 1) \\ = 72 + 2 = 74 \end{aligned}$

$\begin{aligned} 3 X + | X | - (5 - X), X = - 5 \end{aligned}$

$\begin{aligned} 3 X + | X | - (5 - X) \\ = 3 (- 5) + | - 5 | - (5 - (- 5)) \\ = - 15 + 5 - (5 + 5) \\ = - 15 + 5 - 10 = - 20 \end{aligned}$

$\begin{aligned} 12 (Y^{2} \div 3) + (Y^{2} + 3), Y = 3 \end{aligned}$

$\begin{aligned} 12 ((3)^{2} \div 3) + ((3)^{2} + 3) \\ = 12 (9 \div 3) + (9 + 3) \\ = 12 (3) + (12) \\ = 36 + 12 = 48 \end{aligned}$

مشاركة الدرس

فايسبوك

واتساب

تيليجرام

طباعة

السؤال

حل المعادلات الآتية:

الحل

$\begin{aligned} 11 N = - 88 \end{aligned}$

$N = - 88 \div 11 \Rightarrow N = - 8$

الاختبار القبلي

حل الجمل المفتوحة الآتية:

$\begin{aligned} (- 6) + \dots = 15 \end{aligned}$

$\begin{aligned} (- 5) + \dots \dots = - 20 \end{aligned}$

15-

$\begin{aligned} \dots . - 13 = - 33 \end{aligned}$

20-

$\begin{aligned} 2 \times \dots \dots = 24 \end{aligned}$

$\begin{aligned} (- 4) \times \dots \dots = - 32 \end{aligned}$

$\begin{aligned} \dots . . \times (- 5) = 35 \end{aligned}$

$\begin{aligned} 49 \div \dots \dots = 7 \end{aligned}$

$\begin{aligned} (- 84) \div \dots \dots = 7 \end{aligned}$

12-

$\begin{aligned} \dots . \div (- 3) = 12 \end{aligned}$

36-

جد قيمة العبارة الجبرية في كل مما يأتي باستعمال قيمة المتغير المعطاة:

$\begin{aligned} 3^{3} (L - 5) - 7 \times 2^{2}, L = - 8 \end{aligned}$

$\begin{aligned} 3^{3} (- 8 - 5) - 7 \times 2^{2} \\ = 27 (- 13) - 7 \times 4 \\ = - 351 - 28 = - 379 \end{aligned}$

$\begin{aligned} (36 \div N) - 3^{2} (1 - N), N = 6 \end{aligned}$

$\begin{aligned} (36 \div 6) 3^{2} (1 - 6) \\ = 6 - 9 (- 5) 6 + 45 = 51 \end{aligned}$

$\begin{aligned} | - 12 | + X^{3} - 24, X = 2 \end{aligned}$

$\begin{aligned} | - 12 | + (2)^{3} - 24 \\ = 12 + 8 - 24 = - 4 \end{aligned}$

$\begin{aligned} 2 Y \div 4 - | - 24 | \div 2 Y, Y = - 6 \end{aligned}$

$\begin{aligned} 2 (- 6) \div 4 - | - 24 | \div 2 (- 6) \\ = - 12 \div 4 - (24) \div (- 12) \\ = - 3 + 2 = - 1 \end{aligned}$

حل المعادلات الآتية:

$\begin{aligned} X + 80 = 30 \end{aligned}$

$x = 30 - 80 \Rightarrow x = - 50$

$\begin{aligned} D- 11 = - 55 \end{aligned}$

$D = 55 + 11 \Rightarrow D = 44$

$\begin{aligned} 54 - Y = | - 64 | \end{aligned}$

$\begin{aligned} 54 - | - 64 | = y \\ y = 54 - 64 \Rightarrow y = - 10 \end{aligned}$

$\begin{aligned} 4 \times L = 48 \end{aligned}$

$L = 48 \div 4 \Rightarrow L = 12$

$\begin{aligned} X \div 3 = - 21 \end{aligned}$

$x = - 21 \times 3 \Rightarrow x = - 63$

$\begin{aligned} 11 N = - 88 \end{aligned}$

$N = - 88 \div 11 \Rightarrow N = - 8$

$\begin{aligned} | - 6 | \times M = 66 \end{aligned}$

$6 M = 66 \Rightarrow M = 66 \div 6 \Rightarrow M = 11$

$\begin{aligned} - 125 \div K = | - 5 | \end{aligned}$

$\begin{aligned} - 125 \div K = 5 \\ K = - 125 \div 5 \Rightarrow K = - 25 \end{aligned}$

$\begin{aligned} Y \div | - 7 | = 63 \end{aligned}$

$y \div 7 = 63 \Rightarrow y = 63 \times 7 \Rightarrow y = 441$

جد قيمة الجذر التربيعي والتكعيبي للأعداد الصحيحة:

$\sqrt{81}$

$\sqrt{3^{4}} = 3^{2} = 9$

$\sqrt{16}$

$\sqrt{100}$

$\sqrt[3]{- 8}$

$- \sqrt[3]{8} = - 2$

$\sqrt[3]{125}$

$\sqrt[3]{- 1000}$

10-

اكتب المقادير الجبرية التالية بأبسط صورة:

$\begin{aligned} 3 X Y + 7 X^{2} - 2 X Y - 3 X^{2} = \dots \dots \end{aligned}$

$\begin{aligned} (3 - 2) X Y \div (7 - 3) X^{2} \\ = X Y \div 4 X^{2} \end{aligned}$

$\begin{aligned} 4 (X - 2 Y) + 5 (Y - 2 X) = \dots \dots \end{aligned}$

$\begin{aligned} 4 x - 8 y + 5 y - 10 x \\ = (4 - 10) x + (- 8 + 5) y \\ = - 6 x - 3 y \end{aligned}$

$\begin{aligned} 14 Z^{2} \div 7 Z + 9 X^{3} \div 3 X^{2} = \dots \dots . \end{aligned}$

$\frac{14 Z^{2}}{7 Z} + \frac{9 X^{3}}{3 X^{2}} = 22 + 3 X$

$\begin{aligned} 5 Y (3 + 2 X) - 3 X (6 - Y) = \dots \dots \end{aligned}$

$\begin{aligned} 15 Y + 10 X Y - 18 X + 3 X Y \\ = 15 Y + 13 X Y - 18 X \end{aligned}$

جد القيمة العددية للمقادير الجبرية الآتية:

$\begin{aligned} 7 X + 9 X^{2} - 5 X, X = 2 \end{aligned}$

$\begin{aligned} 7 (2) + 9 (2)^{2} - 5 (2) \\ = 14 + 36 - 10 = 40 \end{aligned}$

$\begin{aligned} 8 (3 + 2 Y) - 2 (Y - 4), Y = 7 \end{aligned}$

$\begin{aligned} 8 (3 + 2 (3)) - 2 (3 - 4) \\ = 8 (9) - 2 (- 1) \\ = 72 + 2 = 74 \end{aligned}$

$\begin{aligned} 3 X + | X | - (5 - X), X = - 5 \end{aligned}$

$\begin{aligned} 3 X + | X | - (5 - X) \\ = 3 (- 5) + | - 5 | - (5 - (- 5)) \\ = - 15 + 5 - (5 + 5) \\ = - 15 + 5 - 10 = - 20 \end{aligned}$

$\begin{aligned} 12 (Y^{2} \div 3) + (Y^{2} + 3), Y = 3 \end{aligned}$

$\begin{aligned} 12 ((3)^{2} \div 3) + ((3)^{2} + 3) \\ = 12 (9 \div 3) + (9 + 3) \\ = 12 (3) + (12) \\ = 36 + 12 = 48 \end{aligned}$

حلول الأسئلة

حل المعادلات الآتية:

مشاركة الحل

الاختبار القبلي

حل الجمل المفتوحة الآتية:

(−6)+…=15

(−5)+……=−20

….−13=−33

2×……=24

(−4)×……=−32

…..×(−5)=35

49÷……=7

(−84)÷……=7

….÷(−3)=12

جد قيمة العبارة الجبرية في كل مما يأتي باستعمال قيمة المتغير المعطاة:

33(L−5)−7×22,L=−8

(36÷N)−32(1−N),N=6

|−12|+X3−24,X=2

2Y÷4−|−24|÷2Y,Y=−6

حل المعادلات الآتية:

X+80=30

D-11=−55

54−Y=|−64|

4×L=48

X÷3=−21

11N=−88

|−6|×M=66

−125÷K=|−5|

Y÷|−7|=63

جد قيمة الجذر التربيعي والتكعيبي للأعداد الصحيحة:

81

16

100

−83

1253

−10003

اكتب المقادير الجبرية التالية بأبسط صورة:

3XY+7X2−2XY−3X2=……

4(X−2Y)+5(Y−2X)=……

14Z2÷7Z+9X3÷3X2=…….

5Y(3+2X)−3X(6−Y)=……

جد القيمة العددية للمقادير الجبرية الآتية:

7X+9X2−5X,X=2

8(3+2Y)−2(Y−4),Y=7

3X+|X|−(5−X),X=−5

12(Y2÷3)+(Y2+3),Y=3

مشاركة الدرس

حل المعادلات الآتية:

الاختبار القبلي

حل الجمل المفتوحة الآتية:

(−6)+…=15

(−5)+……=−20

….−13=−33

2×……=24

(−4)×……=−32

…..×(−5)=35

49÷……=7

(−84)÷……=7

….÷(−3)=12

جد قيمة العبارة الجبرية في كل مما يأتي باستعمال قيمة المتغير المعطاة:

33(L−5)−7×22,L=−8

(36÷N)−32(1−N),N=6

|−12|+X3−24,X=2

2Y÷4−|−24|÷2Y,Y=−6

حل المعادلات الآتية:

X+80=30

D-11=−55

54−Y=|−64|

4×L=48

X÷3=−21

11N=−88

|−6|×M=66

−125÷K=|−5|

Y÷|−7|=63

جد قيمة الجذر التربيعي والتكعيبي للأعداد الصحيحة:

81

16

100

−83

1253

$\begin{aligned} (- 6) + \dots = 15 \end{aligned}$

$\begin{aligned} (- 5) + \dots \dots = - 20 \end{aligned}$

$\begin{aligned} \dots . - 13 = - 33 \end{aligned}$

$\begin{aligned} 2 \times \dots \dots = 24 \end{aligned}$

$\begin{aligned} (- 4) \times \dots \dots = - 32 \end{aligned}$

$\begin{aligned} \dots . . \times (- 5) = 35 \end{aligned}$

$\begin{aligned} 49 \div \dots \dots = 7 \end{aligned}$

$\begin{aligned} (- 84) \div \dots \dots = 7 \end{aligned}$

$\begin{aligned} \dots . \div (- 3) = 12 \end{aligned}$

$\begin{aligned} 3^{3} (L - 5) - 7 \times 2^{2}, L = - 8 \end{aligned}$

$\begin{aligned} (36 \div N) - 3^{2} (1 - N), N = 6 \end{aligned}$

$\begin{aligned} | - 12 | + X^{3} - 24, X = 2 \end{aligned}$

$\begin{aligned} 2 Y \div 4 - | - 24 | \div 2 Y, Y = - 6 \end{aligned}$

$\begin{aligned} X + 80 = 30 \end{aligned}$

$\begin{aligned} D- 11 = - 55 \end{aligned}$

$\begin{aligned} 54 - Y = | - 64 | \end{aligned}$

$\begin{aligned} 4 \times L = 48 \end{aligned}$

$\begin{aligned} X \div 3 = - 21 \end{aligned}$

$\begin{aligned} 11 N = - 88 \end{aligned}$

$\begin{aligned} | - 6 | \times M = 66 \end{aligned}$

$\begin{aligned} - 125 \div K = | - 5 | \end{aligned}$

$\begin{aligned} Y \div | - 7 | = 63 \end{aligned}$

$\sqrt{81}$

$\sqrt{16}$

$\sqrt{100}$

$\sqrt[3]{- 8}$

$\sqrt[3]{125}$

$\sqrt[3]{- 1000}$

$\begin{aligned} 3 X Y + 7 X^{2} - 2 X Y - 3 X^{2} = \dots \dots \end{aligned}$

$\begin{aligned} 4 (X - 2 Y) + 5 (Y - 2 X) = \dots \dots \end{aligned}$

$\begin{aligned} 14 Z^{2} \div 7 Z + 9 X^{3} \div 3 X^{2} = \dots \dots . \end{aligned}$

$\begin{aligned} 5 Y (3 + 2 X) - 3 X (6 - Y) = \dots \dots \end{aligned}$

$\begin{aligned} 7 X + 9 X^{2} - 5 X, X = 2 \end{aligned}$

$\begin{aligned} 8 (3 + 2 Y) - 2 (Y - 4), Y = 7 \end{aligned}$

$\begin{aligned} 3 X + | X | - (5 - X), X = - 5 \end{aligned}$

$\begin{aligned} 12 (Y^{2} \div 3) + (Y^{2} + 3), Y = 3 \end{aligned}$

$\begin{aligned} (- 6) + \dots = 15 \end{aligned}$

$\begin{aligned} (- 5) + \dots \dots = - 20 \end{aligned}$

$\begin{aligned} \dots . - 13 = - 33 \end{aligned}$

$\begin{aligned} 2 \times \dots \dots = 24 \end{aligned}$

$\begin{aligned} (- 4) \times \dots \dots = - 32 \end{aligned}$

$\begin{aligned} \dots . . \times (- 5) = 35 \end{aligned}$

$\begin{aligned} 49 \div \dots \dots = 7 \end{aligned}$

$\begin{aligned} (- 84) \div \dots \dots = 7 \end{aligned}$

$\begin{aligned} \dots . \div (- 3) = 12 \end{aligned}$

$\begin{aligned} 3^{3} (L - 5) - 7 \times 2^{2}, L = - 8 \end{aligned}$

$\begin{aligned} (36 \div N) - 3^{2} (1 - N), N = 6 \end{aligned}$

$\begin{aligned} | - 12 | + X^{3} - 24, X = 2 \end{aligned}$

$\begin{aligned} 2 Y \div 4 - | - 24 | \div 2 Y, Y = - 6 \end{aligned}$

$\begin{aligned} X + 80 = 30 \end{aligned}$

$\begin{aligned} D- 11 = - 55 \end{aligned}$

$\begin{aligned} 54 - Y = | - 64 | \end{aligned}$

$\begin{aligned} 4 \times L = 48 \end{aligned}$

$\begin{aligned} X \div 3 = - 21 \end{aligned}$

$\begin{aligned} 11 N = - 88 \end{aligned}$

$\begin{aligned} | - 6 | \times M = 66 \end{aligned}$

$\begin{aligned} - 125 \div K = | - 5 | \end{aligned}$

$\begin{aligned} Y \div | - 7 | = 63 \end{aligned}$

$\sqrt{81}$

$\sqrt{16}$

$\sqrt{100}$

$\sqrt[3]{- 8}$

$\sqrt[3]{125}$

$\sqrt[3]{- 1000}$

$\begin{aligned} 3 X Y + 7 X^{2} - 2 X Y - 3 X^{2} = \dots \dots \end{aligned}$

$\begin{aligned} 4 (X - 2 Y) + 5 (Y - 2 X) = \dots \dots \end{aligned}$

$\begin{aligned} 14 Z^{2} \div 7 Z + 9 X^{3} \div 3 X^{2} = \dots \dots . \end{aligned}$

$\begin{aligned} 5 Y (3 + 2 X) - 3 X (6 - Y) = \dots \dots \end{aligned}$

$\begin{aligned} 7 X + 9 X^{2} - 5 X, X = 2 \end{aligned}$

$\begin{aligned} 8 (3 + 2 Y) - 2 (Y - 4), Y = 7 \end{aligned}$

$\begin{aligned} 3 X + | X | - (5 - X), X = - 5 \end{aligned}$

$\begin{aligned} 12 (Y^{2} \div 3) + (Y^{2} + 3), Y = 3 \end{aligned}$