Question 1

If $x$ is directly proportional to $z$ and $x=12$ when $z=3$, find the value of z when $x=18$

Accepted Answer

$ \frac{9}{2} $

Answer

$ \frac{12}{3} $

Answer

$ \frac{15}{2} $

Answer

$ \frac{7}{2} $

Question 2

It is given that $x$ is directly proportional to $ y^3 $ and $x=56$ when $y=2$  find an equation connecting $x$ and $y$

Accepted Answer

$x=7y^3$

Answer

$x=ky^3$

Answer

$x=6y^3$

Answer

$7x=y^3$

Question 3

If $z^2$ is directly  proportional $x^3$ and $z=8$ when $x=4$, find the value of  $z$ when $x=9$

Accepted Answer

27

Answer

29

Answer

28

Answer

26

Question 4

Simplify $3x^2-7x+4$ $-(2x^2+7x+2)$

Accepted Answer

$x^2-14x+2$

Answer

$x^2+14x+2$

Answer

$x^2-14x-2$

Answer

$x^2+14x-2$

Question 5

Expand $-8x(5x+3)$

Accepted Answer

$-40x^2-24x$

Answer

$40x^2-24x$

Answer

$40x^2+24x$

Answer

$-40x^2+24x$

Question 6

Expand and simplify  $3d(5d-4)+6d(3d-2)$

Accepted Answer

$33d^2-24d$

Answer

$33d^2+24d$

Question 7

Expand and simplify  $(x-4)(x-9)+(x-3)(2x+9)$

Accepted Answer

$3x^2-10x+9$

Answer

$3x^2+10x-27$

Answer

$3x^2+10x-9$

Answer

$3x^2-10x-9$

Question 8

Factorize $t^2-16t+63$

Accepted Answer

$(t-9)(t-7)$

Answer

$(t-9)(t+7)$

Answer

$(t+9)(t+7)$

Answer

$(t+9)(t-7)$

Question 9

Factorize $8x^2+4x-60$

Accepted Answer

$4(2x-5)(x+3)$

Answer

$4(2x-5)(x-3)$

Answer

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

Answer

$4(2x+5)(x-3)$

Question 10

Expand  $3p(4p+q+3r)$

Accepted Answer

$12p^2+3pq+9pr$

Answer

$12p^2+3pq-9pr$

Answer

$12p^2-3pq+9pr$

Answer

$12p^2-3pq-9pr$

Question 11

Expand $(x+y)(x+4y)$

Accepted Answer

$x^2+5xy+4y^2$

Answer

$x^2-5xy-4y^2$

Answer

$x^2-5xy+4y^2$

Answer

$x^2+5xy-4y^2$

Question 12

Find the product $  (-3xyz)	imes (-7x^2y^3z^4) $

Accepted Answer

$21x^3y^4z^5$

Answer

$-21x^3y^4z^5$

Question 13

Expand and simplify $a(4b+c)-3c(2a-b)$

Accepted Answer

$4ab-5ac+3bc$

Answer

$4ab-5a^2c^2+3bc$

Answer

$4ab+5ac+3bc$

Answer

$4ab+5a^2c^2+3bc$

Question 14

Expand$ (5p-9)^2$

Accepted Answer

$25p^2-90p+81$

Answer

$25p^2+90p-81$

Answer

$25p^2-90p-81$

Answer

$25p^2+90p+81$

Question 15

Which of the following formulas we will use for this expression $(u-10x)(u+10x)$

Accepted Answer

$(a+b)(a-b)=a^2-b^2$

Answer

$(a-b)^2=a^2-2ab+b^2$

Answer

$(a+b)^2=a^2+2ab+b^2$

Question 16

If $x+y=8$ and $x-y=2$ then the value of $x^2-y^2$ is

Accepted Answer

16

Answer

20

Answer

14

Answer

18

Question 17

Expand $ (\frac{2}{3} c$+$ \frac{1}{3} d)^2$

Accepted Answer

$ \frac{4}{9} c^2$+$ \frac{4}{9}cd $+$ \frac{1}{9}d^2 $

Answer

$ \frac{2}{3} c^2$+$ \frac{4}{9}cd $+$ \frac{1}{9}d^2 $

Answer

$ \frac{4}{9} c^2$-$ \frac{4}{9}cd $+$ \frac{1}{9}d^2 $

Answer

$ \frac{2}{3} c^2$-$ \frac{4}{9}cd $+$ \frac{1}{9}d^2 $

Question 18

Factorize $x(6a+5)-2y(6a+5)$

Accepted Answer

$(6a+5)(x-2y)$

Answer

$(6a+5)(x+2y)$

Answer

$(6a-5)(x-2y)$

Answer

$(6a-5)(x+2y)$

Question 19

Factorize $4m(6x-2y)-n(2y-6x)$

Accepted Answer

$(6x-2y)(4m+n)$

Answer

$(6x-2y)(4m-n)$

Answer

$(6x-2y)(4m-n)$

Question 20

Factorize $25t^2-36$

Accepted Answer

$(5t+6)(5t-6)$

Answer

$(5t-6)^2$

Answer

$(5t+6)^2$

Question 21

Factorize $9-6tu+t^2u^2$

Accepted Answer

$(3-tu)^2$

Answer

$(3+tu)^2$

Answer

$(3+tu)(3-tu)$

Question 22

Solve $(3x-5)(2x+1)$

Accepted Answer

$x= \frac{5}{3} $ or $ x=-\frac{1}{2} $

Answer

$x=- \frac{5}{3} $ or $x=- \frac{1}{2} $

Answer

$x=- \frac{5}{3} $ or $x= \frac{1}{2} $

Answer

$x=\frac{5}{3} $ or $x= \frac{1}{2} $

Question 23

Solve $\frac{4}{9} $- $ \frac{d^2}{36} $ =0

Accepted Answer

$d=4$ or $d=-4$

Answer

$d=8$ or $d=-8$

Answer

$d=6$ or $d=-6$

Answer

$d=2$ or $d=-2$

Question 24

The set containing all elements of a problem under consideration is called

Accepted Answer

Universal set

Answer

Improper set

Answer

Infinite set

Answer

Proper set

Question 25

The sets A and B consisting of the same elements are

Accepted Answer

Equal sets

Answer

Improper subsets

Answer

Subsets

Answer

Proper subsets

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