SSC (English Medium) 9th Standard - Maharashtra State Board Question Bank Solutions for Algebra

Add the given polynomials.

`x^3 - 2x^2 - 9 ;  5x^3 + 2x + 9`

Compare the following pair of ratios.

`5/18,17/121`

Add the given polynomial.

`-7m^4 +5m^3 + sqrt2 ;   5m^4 - 3m^3 + 2m^2 + 3m - 6`

Compare the following pair of ratios.

`sqrt80/sqrt48 , sqrt45/sqrt27`

Compare the following pair of ratios.

`9.2/5.1, 3.4/7.1`

Add the given polynomial.

`2y^2 + 7y + 5  ;  3y + 9  ;  3y^2 - 4y - 3`

Subtract the second polynomial from the first.

`x^2 - 9x + sqrt 3  ;  -19x + sqrt 3 +7x^2`

Subtract the second polynomial from the first.

`2ab^2 + 3a^2b - 4ab ; 3ab - 8ab^2 + 2a^2b`

Multiply the given polynomial.

`2x  ;  x^2 - 2x - 1`

Multiply the given polynomial.

`x^5 - 1  ;  x^3 +2x^2 + 2`

Multiply the given polynomial.

`2y + 1 ; y^2 - 2y^3 + 3y`

Divide first polynomial by second polynomial and write the answer in the form ‘Dividend = Divisor × Quotient + Remainder’.

`x^3 - 64 ; x - 4`

Divide first polynomial by second polynomial and write the answer in the form ‘Dividend = Divisor × Quotient + Remainder’.

`5x^5 + 4x^4 - 3x^3 + 2x^2 +2;x^2-x`

There is a rectangular farm with length `(2a^2 + 3b^2)` metre and breadth `(a^2 + b^2)` metre. The farmer used a square shaped plot of the farm to build a house. The side of the plot was `(a^2 -  b^2)` metre.
What is the area of the remaining part of the farm?

If a : b = 3 : 1 and b : c = 5 : 1 then find the value of
 `(a^3/{15b^2c})^3` 

If `sqrt(0.04 xx 0.4 xx a ) = 0.4 xx0.04 xx sqrtb` then find the ratio `a/b`.

( x + 3) : ( x + 11) = ( x - 2) : ( x + 1) then find the value of x.

Add the following polynomial.

`7x^4 - 2x^3 + x + 10 ; 3x^4 + 15x^3 + 9x^2 - 8x + 2`

Add the following polynomial.

`3p^3q+ 2p^2q + 7; 2p^2q + 4pq - 2p^3q`

Subtract the second polynomial from the first.

`5x^2 - 2y + 9 ; 3x^2 + 5y - 7`