9th class Mathematics Online test Unit 6- Linear Equation and Inequalities

Unit 6 – Algebraic Manipulations

Quiz

 

1. Simplify:
   ( �� + �� ) 2 (a+b) 2
   1.   �� 2 + �� 2 a 2 +b 2
   2.   a 2 +2ab+b 2
   3.   a 2 −2ab+b 2
   4.   None of these
2. Factorize:
   �� 2 − 9 x 2 −9
   1.   ( �� − 3 ) ( �� + 3 ) (x−3)(x+3)
   2.   ( �� − 9 ) ( �� + 9 ) (x−9)(x+9)
   3.   (x−3) 2
   4.   None of these
3. Simplify:
   a 3 +b 3
   1.   (a+b)(a 2 −ab+b 2 )
   2.   (a−b)(a 2 +ab+b 2 )
   3.   (a+b) 3
   4.   None of these
4. If �� + �� = 5 a+b=5 and �� �� = 6 ab=6, find �� 2 + �� 2 a 2 +b 2 :
   1.   31
   2.   25
   3.   19
   4.   None of these
5. Factorize: �� 3 − 27 x 3 −27
   1.   (x−3)(x 2 +3x+9)
   2.   (x−3)(x 2 −3x+9)
   3.   ( �� + 3 ) ( �� 2 − 3 �� + 9 ) (x+3)(x 2 −3x+9)
   4.   None of these
6. Find the remainder when �� 2 + 3 �� + 2 x 2 +3x+2 is divided by �� + 1 x+1:
   1.   6
   2.   4
   3.   0
   4.   2
7. Simplify: ( �� − �� ) 2 (a−b) 2
   1.   �� 2 − �� 2 a 2 −b 2
   2.   �� 2 − 2 �� �� + �� 2 a 2 −2ab+b 2
   3.   a 2 +2ab+b 2
   4.   None of these
8. Simplify: ( �� 2 − �� 2 ) / ( �� − �� ) (a 2 −b 2 )/(a−b)
   1.   a+b
   2.   a−b
   3.   a 2 +b 2
   4.   None of these