9th Mathematics Chapter6 Algebric Manipulation

Sr #	Questions	A	B	C	D
1	If $2 p + 5 q = 11$ and $p - q = 3$ , what is the value of $p$ ?	2	3	4	5
2	If $x - 4 = 7$ , what is the value of $x$ ?	11	12	13	14
3	Simplify $2 (3 x - 4) + 5 x$ .	11x−8	6x−3	11x+8	6x+3
4	What is the product of $(2 x - 3) (x + 4)$ ?	2x 2 +5x−12	2x 2 +5x+12	2x 2 −5x−12	2 � 2 − 5 � + 12 2x 2 −5x+12
5	Simplify the expression $x - 3 2 x ^{2} - 5 x$ .	2x−1	2x+1	2x−3	2x+3
6	Factorize $9 x^{2} - 16$	(3x+4)(3x−4)	(3x+4)(3x+4)	(3x−4)(3x−4)	(3x−4)(3x+4)
7	Factorize $16 x^{2} - 25$	(4x+5)(4x−5)	(4x+5)(4x+5)	(4x−5)(4x−5)	(4x−5)(4x+5)
8	Simplify $2 x ^{2} - 5 x - 3 4 x ^{2} - 9$	2 � + 3 � − 1 x−1 2x+3	x+1 2x−3	x−1 2x−3	2 � + 3 � + 1 x+1 2x+3
9	Factorize $25 a^{2} - 16 b^{2}$	(5a+4b)(5a−4b)	(5a+4b)(5a+4b)	(5a−4b)(5a−4b)	(5a−4b)(5a+4b)
10	If $3 a + 2 b = 14$ and $a - b = 4$ , what is the value of $a$ ?	3	5	7	9
11	If $4 a - 2 b = 10$ , what is $2 a - b$ ?	5	10	15	20
12	If $a = 2$ and $b = 3$ , what is the value of $2 a - 3 b$ ?	−4	− 1	0	1
13	Simplify the expression $6 3 x ^{2}$	2 x 2	� 2 3 3 x 2	6 x 2	� 2 2 x
14	Solve for $x$ in the equation $2 (x - 3) = 10$ .	x=8	x=7	x=6	x=5
15	Expand the expression $(a - 2 b)^{2}$	� 2 − 4 � 2 a 2 −4b 2	� 2 + 4 � 2 a 2 +4b 2	a 2 −2ab+4b 2	a 2 +2ab+4b 2
16	Factorize the expression $4 y + 8$ .	2(2y+4)	4(1+2y)	4(y+2)	8(y+1)
17	What is the simplified form of $3 x + 2 x - 5$ ?	5x	6x	x−5	5x−5
18	Solve for $x$ in the equation $3 (x + 2) = 21$	x=5	x=6	x=7	x=8
19	If $2 a + 3 b = 12$ and $a = 4$ , what is the value of $b$ ?	2	3	4	5
20	What is the result of $2 x^{2} + 3 x - 7 x^{2}$ ?	−5x 2 +3x	−5x 2 −3x	5x 2 −3x	5x 2 +3x
21	Solve for $y$ in the equation $y 5 = 2$	� = 5 2 y= 2 5	y=2	� = 1 2 y= 2 1	y= 5 2
22	If $a + b = 9$ and $a - b = 3$ , what is the value of $a$ ?	3	6	7.5	6.5
23	What is the simplified form of $5 x + 2 (x - 3)$ ?	7x−6	7x+6	3x−6	3x+6
24	Solve for $y$ in the equation $3 2 y = 8$	y=6	y=9	y=12	y=18
25	What is the sum of $3 x^{2} + 2 x$ and $5 x^{2} - 4 x$ ?	8x 2 −2x	8x 2 +2x	8x 2 −6x	8x 2 +6x