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

Solve the pair of linear (simultaneous) equation by the method of elimination by substitution:
6x = 7y + 7
7y - x = 8

Solve the pair of linear (simultaneous) equation by the method of elimination by substitution :
y = 4x - 7
16x - 5y = 25

Solve the pair of linear (simultaneous) equation by the method of elimination by substitution:
2x + 7y = 39
3x + 5y = 31

Solve the following pair of linear (simultaneous) equation by the method of elimination by substitution:

1.5x + 0.1y = 6.2

3x - 0.4y = 11.2

Solve the following pair of linear (Simultaneous ) equation using method of elimination by substitution :
2( x - 3 ) + 3( y - 5 ) = 0
5( x - 1 ) + 4( y - 4 ) = 0

Solve the following pair of linear (simultaneous) equation using method of elimination by substitution:
3x + 2y =11
2x - 3y + 10 = 0

Solve the following pair of linear (simultaneous) equation using method of elimination by substitution :
2x - 3y + 6 = 0
2x + 3y - 18 = 0

Solve th following pair of linear (Simultaneous ) equation using method of elimination by substitution :
`[ 2x + 1]/7 + [5y - 3]/3 = 12`

`[3x + 2 ]/2 - [4y + 3]/9 = 13`   

Solve the following pair of linear (simultaneous) equation using method of elimination by substitution:

`[3x]/2 - [5y]/3 + 2 = 0`

`x/3 + y/2 = 2 1/6`

Solve the following pairs of linear (simultaneous) equation using method of elimination by substitution:
`x/6 + y/15 = 4`

`x/3 - y/12 = 4 3/4` 

Evaluate : 
`3^3 xx ( 243 )^(-2/3) xx 9^(-1/3)`

Evaluate:

`5^(-4) xx ( 125)^(5/3) ÷ (25)^(-1/2)`

Evaluate:

`( 27/125 )^(2/3) xx ( 9/25 )^(-3/2)`

Evaluate:

`7^0 xx (25)^(-3/2) - 5^(-3)`

Evaluate: 
`(16/81 )^(-3/4) xx (49/9)^(3/2) ÷ (343/216)^(2/3)`

Simplify :
`( 8x^3 ÷ 125y^3 )^(2/3)`

Simplify :
`( a + b )^(-1) . ( a^(-1) + b^(-1) )`

Simplify:

`[ 5^( n + 3 ) - 6 xx 5^( n + 1 )]/[ 9 xx 5^n - 5^n xx 2^2 ]`

Simplify :
`( 3x^2 )^(-3) xx ( x^9 )^(2/3)`

Evaluate :
`sqrt(1/4) + (0.01)^(-1/2) - (27)^(2/3)`