Quiz about Test 2

Question 1

$$if:\ a^3b^2c\ =\ 360,\ \ then:\ a^2b^3c\ =\ .......$$

Accepted Answer

$$540$$

Answer

$$1500$$

Answer

$$360$$

Answer

$$1350$$

Question 2

$$if:\ \ \ \ 5^{9-x^2}\ =\ 1,\ \ \ y^x\ =\ x^3\ \ then:\ \ \ \ x+y\ =\ ....$$

Accepted Answer

$$\left\{6,\ -\frac{10}{3}\right\}$$

Answer

$$\left\{3,\ 3\right\}$$

Answer

$$\left\{-3,\frac{-1}{3}\right\}$$

Answer

$$\left\{\pm3,\pm\frac{1}{3}\right\}$$

Question 3

$$\frac{5^x+5^x+5^x+5^x+5^x}{5^x imes5^x imes5^x imes5^x imes5^x}\ =\ ....$$

Accepted Answer

$$5^{1-4x}$$

Answer

$$5^{6x+1}$$

Answer

$$1$$

Answer

$$0$$

Question 4

$$if:\ \sqrt[]{a+\sqrt[]{a+\sqrt[]{a+\sqrt[]{...\rightarrow}}}\ }=\ 3,\ $$ $$\sqrt[]{b\ \ \ \sqrt[\ ]{b\ \ \ \sqrt[]{b\ \ \ \ \sqrt[]{....\ \rightarrow}}}}\ =\ 4,$$

$$then\ \ \ a\ +\ b\ =\ ....$$

Accepted Answer

6

Answer

4

Answer

9

Answer

10

Question 5

$$if:\ \left(x,y\ \in\ Z ight),\ \ \sqrt[]{\left(x+y ight)\left(x-y ight)}\ imes10^{-15}\ \ \left(صيغة\ علمية ight):\ then:\ .........$$

Accepted Answer

$$1+y^2\ \le x^2<100+y^2$$

Answer

$$1\le x^{ }-y^{ }<10$$

Answer

$$1\le x^2+y^2<100$$

Answer

$$1\le x^2-y^2<10$$

Question 6

$$\left(x-2\right)\left(x+2\right)\left(x^2+4\right)\left(x^4+16\right)\left(x^8+256\right)\ =.....$$

Accepted Answer

$$x^{16}-65536$$

Answer

$$x^{17}-65536$$

Answer

$$x^8-65536$$

Answer

$$x^{17}+65536$$

Question 7

$$\left(a+b-c\right)^2\ =\ ....$$

Accepted Answer

$$a^2+2a\left(b-c\right)+\left(b-c\right)^2$$

Answer

$$a^2+b^2-c^2$$

Answer

$$\left(a+b\right)^2-c^2$$

Answer

$$a^2+\left(b-c\right)^2$$

Question 8

$$\left(x+5\right)^2\left(x-5\right)^2=....$$

Accepted Answer

$$x^4-50x^2+625$$

Answer

$$x^4-625$$

Answer

$$x^4+625$$

Answer

$$x^2-25$$

Question 9

$$\left(a+b\right)\left(c-d\right)\ =\ ....$$

Accepted Answer

$$ac-ad+bc-bd$$

Answer

$$ac-ab+bc-bd$$

Answer

$$ac-ad+bc+bd$$

Answer

$$ac+ad+bc-bd$$

Question 10

$$if:\ \ \ x,\ y e0,\ \ x\ >\ y,\ then:\ \ \ \ \frac{1}{x}\ .....\ \frac{1}{y}$$

Accepted Answer

<

Answer

>

Answer

=

Answer

$$\approx$$

Question 11

$$\left(x+y-z\right)\left(x+y\ +z\right)\ =\ .....$$

Accepted Answer

$$x^2+y^2-z^2+2xy$$

Answer

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

Answer

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

Answer

$$x^2+y^2-z^2$$

Question 12

$$\sqrt[]{x^4-2x^2+1}=......$$

Accepted Answer

$$\left|x-1\right|\left|x+1\right|$$

Answer

$$\pm\left(x^2+1\right)$$

Answer

$$\left|x^2-x+1\right|$$

Answer

$$x^2+x+1$$

Question 13

$$if:\ x\ \in z,\ \ \ 5x-2\ >\ 3\ ,\ \ 7-x\ \ge\ 3,\ \ then:\ \ \ \ \sum_{ }^{ }x\ =\ ....$$

Accepted Answer

$$9$$

Answer

$$10$$

Answer

$$5$$

Answer

$$7$$

Question 14

$$if:\ \ \left(x+8\right)\left(x+2\right)\ =\ 100,\ then\ \ \ \left(x+4\right)\left(x+6\right)\ =\ .....$$

Accepted Answer

$$108$$

Answer

$$100$$

Answer

$$96$$

Answer

$$88$$

Question 15

$$if:\ \ \ x^2+y^2\ =\ 20,\ \ \ \left(x+y\right)^2\ =\ 26,\ \ then:\ \ \ xy\ =\ ......\ $$

Accepted Answer

$$3$$

Answer

$$6$$

Answer

$$0$$

Answer

$$23$$

Question 16

$$if:\ \ xy=9,\ \ y^2=12,\ \ x^2=16,\ then:\ \ \left(3x-2y\right)^2\ =\ .....$$

Accepted Answer

$$84$$

Answer

$$100$$

Answer

$$60$$

Answer

$$72$$

Question 17

$$\frac{21ab^2-28a^2b^2}{.........}\ =\ 3b\ -\ 4ab$$

Accepted Answer

$$7ab$$

Answer

$$7ab^2$$

Answer

$$3b$$

Answer

$$7a^2b^2$$

Question 18

$$if:\ \frac{4x^2\ -\ \left|2k+4\right|xy}{4x}\ =\ x-2y,\ then:\ \ \sum_{ }^{ }k\ =\ ....$$

Accepted Answer

$$-4$$

Answer

$$8$$

Answer

$$4$$

Answer

$$-6$$

Question 19

$$solve:\ \ \frac{8x^2+6x\ -9}{4x-3}$$

Accepted Answer

$$2x+3$$

Answer

$$3-2x$$

Answer

$$2x-3$$

Answer

$$3x+2$$

Question 20

$$if:\ \frac{2x+a}{x+3}\ =\ 2,\ \ then:\ \ a\ =\ .....$$

Accepted Answer

$$6$$

Answer

$$3$$

Answer

$$2$$

Answer

$$9$$

Question 21

$$if:\ \frac{3x+15}{x-a}\ =\ 3,\ then\ \ a\ =\ .....$$

Accepted Answer

$$-5$$

Answer

$$5$$

Answer

$$3$$

Answer

$$-3$$

Question 22

$$2^a\ imes2^a\ imes2^a\ imes..........\ ightarrow\ \left(من\ المرات\ a\ عدد\ يساوى ight)$$

Accepted Answer

$$2^{a^2}$$

Answer

$$2^{2a}$$

Answer

$$2^{a^3}$$

Answer

$$2^{3a}$$

Question 23

$$a^n\ +\ a^n\ +\ a^n\ +\ .........\ \rightarrow\ \ \left(من\ المرات\ a\ عدد\ يساوى\right)\ $$

Accepted Answer

$$a^{n+1}$$

Answer

$$a^{3n}$$

Answer

$$a^{n+3}$$

Answer

$$a^{n+2}$$

Question 24

$$\left|-3x^{-5}y^6z^{-7}\right|\ =\ .....$$

Accepted Answer

$$\frac{3y^6}{\left|x^5z^7\right|}$$

Answer

$$3x^5y^6z^7$$

Answer

$$\frac{y^6}{3x^5z^7}$$

Answer

$$\frac{3y^6}{x^5z^7}$$

Answer

$$\frac{3\left|y^6\right|}{x^5z^7}$$

Question 25

$$10a^0-\left(-10a\right)^0\ =.....$$

Accepted Answer

9

Answer

0

Answer

10

Answer

20

Question 26

$$\sqrt[3]{x-1}\ imes\sqrt[3]{x-1} imes\sqrt[3]{x-1}\ imes\sqrt[]{x+1} imes\sqrt[]{x+1}\ =\ ....$$

Accepted Answer

$$x^2-1$$

Answer

$$\left(x-1\right)^2$$

Answer

$$\left(x+1\right)^2$$

Answer

$$x^2+1$$

Question 27

$$0.0000623\ ........\ 3.69 imes10^{-4}$$

Accepted Answer

$$<$$

Answer

$$=$$

Answer

$$>$$

Question 28

$$\left(a\ imes\ 10^7 ight)-\left(a\ imes\ 10^6 ight)\ =\ ....$$

Accepted Answer

$$9a\ imes\ 10^6$$

Answer

$$2a\ imes\ 10^7$$

Answer

$$2a\ imes\ 10^6$$

Answer

$$0\ imes\ 10^1$$

Question 29

$$\frac{a^{2x+5}}{.......}\ =\ a^{10-2x}$$

Accepted Answer

$$a^{4x-5}$$

Answer

$$a^{5-4x}$$

Answer

$$a^{4x+5}$$

Answer

$$a^{5-2x}$$

Question 30

$$a^{5-4x}\ imes........\ =a^{4x-5}$$

Accepted Answer

$$a^{8x-10}$$

Answer

$$a^{10-8x}$$

Answer

$$a^{8x+10}$$

Answer

$$a^{10x-8}$$

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