(English Medium) ICSE Class 9 - CISCE Question Bank Solutions

Factorise : 9x ² + 3x - 8y - 64y²

Factorise : 2√3x² + x - 5√3

Factorise : `1/4 ( a + b )^2 - 9/16 ( 2a - b )^2` 

Factorise : 2(ab + cd) - a² - b² + c² + d²

Find the value of : ( 987 )² - (13)²

Find the value of : ( 67.8 )² - ( 32.2 )²

Find the value of : `[(6.7)^2 - (3.3)^2]/[6.7 - 3.3]`

Find the value of : `[(18.5)^2 - (6.5)^2]/[18.5 + 6.5]`

For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
13 + 2y = 9x
3y = 7x

For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
3x - y = 23
`x/3 + y/4 = 4`

For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
`[5y]/2 - x/3 = 8`

`y/2 + [5x]/3 = 12`

For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
`1/5( x - 2 ) = 1/4( 1 - y )`
26x + 3y + 4 = 0

For solving pair of equation, in this exercise use the method of elimination by equating coefficients:

y = 2x - 6; y = 0

For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
`[ x - y ]/6 = 2( 4 - x )`
2x + y = 3( x - 4 )

For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
3 - (x - 5) = y + 2
2 (x + y) = 4 - 3y

For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
2x − 3y − 3 = 0
`[2x]/3 + 4y + 1/2` = 0

For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
13x+ 11y = 70
11x + 13y = 74

For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
41x + 53y = 135
53x + 41y = 147

If 2x + y = 23 and 4x - y = 19; find the values of x - 3y and 5y - 2x.

If 10y = 7x - 4 and 12x + 18y = 1; find the values of 4x + 6y and 8y - x.