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Worksheets

Huda

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

بسط العبارة

(xz−4z)z2(4−x)\frac{\left(xz-4z\right)}{z^{2\left(4-x\right)}}  

a)

1−xz(x−4)z2(4−x)=1z\frac{1-xz\left(x-4\right)}{z^{2\left(4-x\right)}}=\frac{1}{z}  

b)

1−(4−x)z(x−4)=3z\frac{1-\left(4-x\right)}{z\left(x-4\right)}=\frac{3}{z}  

2.

بسط العبارة

5x(x^2+4x+3)

(x-6) (x3-9)

a)

4x(x+3)(x+3)=

2x(x+1)

(x-6) (x-3)(x+3)=9x-3)(x-3)

b)

5x(x+2)(x+4)=

5x(x+1)

(x-7 (x-3)(x+3)=9x-6)(x-3)

c)

5x(x+1)(x+3)=

5x(x+1)

(x-6) (x-3)(x+3)=9x-6)(x-3)

3.

بسط العبارة

x2−y2x−y\frac{x^2-y^2}{x-y}  

a)

(x−y)(x+y)x−y=x+y\frac{\left(x-y\right)\left(x+y\right)}{x-y}=x+y  

b)

(y+x)(y−x)y+x=y−x\frac{\left(y+x\right)\left(y-x\right)}{y+x}=y-x  

c)

(x−y)(x−x)x−y=x−y\frac{\left(x-y\right)\left(x-x\right)}{x-y}=x-y  

4.

بسط العبارة

x2−y2y2−y9\frac{x^2-y^2}{y^2-y9}  

a)

7+4y−x\frac{7+4}{y_{-x}}  

b)

 x2−y42−4y×y+7y−x=(x−y)(x=y)(4−7)(y+7)×y+7y−x (x=y)4−7\ \frac{x^2-y}{4^2-4y}\times\frac{y+7}{y-x}=\frac{\left(x-y\right)\left(x=y\right)}{\left(4-7\right)\left(y+7\right)}\times\frac{y+7}{y-x}\ \frac{\left(x=y\right)}{4-7}  

c)

x+y4−4×y−7x−y=(x−7)(7−4)\frac{x+y}{4-4}\times\frac{y-7}{x-y}=\frac{\left(x-7\right)}{\left(7-4\right)}  

5.

اوجدي

LCM

2×y2, 3×y2\times y^2,\ 3\times y  

a)

CM=23×y2=6×y2CM=23\times y^2=6\times y^2  

b)

CM=19×y2=8×y2CM=19\times y^2=8\times y^2  

c)

CM=22×y2=3×y2CM=22\times y^2=3\times y^2  

6.

اوجدي

LCM

342×3+5×8y×\frac{34}{2\times3}+\frac{5\times}{8y\times}  

a)

LCM=5×1y2LCM=5\times1y^2  

b)

LCM=5×2y2LCM=5\times2y^2  

c)

LCM=8×3y2LCM=8\times3y^2  

7.

حددي قيمة

X التي تجعل غير معرفة

2x−1\frac{2}{x-1}  

a)

x=2x=2  

b)

x=1x=1  

8.

ضرب العبارات النسبية

8x−20x2+2x−35=x2−7x104x2−16\frac{8x-20}{x^2+2x-35}=\frac{x^2-7x10}{4x^2-16}  

a)

(6x+3)(x+6x+3)\frac{\left(6x+3\right)}{\left(x+6x+3\right)}  

b)

(2x+5)(x+2x+7)\frac{\left(2x+5\right)}{\left(x+2x+7\right)}  

9.

P−(x)=2x+1+5P-\left(x\right)=\frac{2}{x+1}+5

حددي قيمة

X

a)

x+1≠0 ,≠x=−1x+1\ne0\ ,\ne x=-1  غير معرفة عند

b)

x=−4≠0 , ≠x=+4x=-4\ne0\ ,\ \ne x=+4  

10.

بسط العبارة

16mt23.721a4b3÷244.6m2702b2\frac{16mt^2}{3.721a^4b^3}\div\frac{24^{4.6}m^2}{70^2b^2}  

a)

y416mt221a4b3÷7a2b2m2244,6=2t29a2bm\frac{y^416mt^2}{21a^4b^3}\div\frac{7a^2b^2m^2}{24^{4,6}}=\frac{2t^2}{9a^2bm}  

b)

y218mt219a3b2÷6a3b2334.6\frac{y^218mt^2}{19a^3b^2}\div\frac{6a^3b^2}{33^{4.6}}