9th Mathematics Chapter6 Algebric Manipulation

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