Page 1 - Worksheet-2 Identity
P. 1

SAI International School
                                                     CLASS - IX

               Mathematics
               CHAPTER-1: ALGEBRAIC IDENTITY

               WORKSHEET - 2
               1                                                                                    1
                                                      2
                                                              2
                       One of the factors of (1 + 9x)  + (81x  - 1) is:

                       a) x – 9      b) 9 – x           c) 9x + 1           d) 81x


                                        2
                                             2
                                                          3
                                                              3
               2           If x + y = 4, x  + y  = 12 then x +y  is                                 1

                            (a)   40             (b)   30             (c)   20                  (d)   90

                                                1
               3        If 16y  –k=(4y+ )(4y− ), then the value of k is.                            1
                                         1
                              2
                                         2      2
                                                1
                                                                                           1
                                                                       1
                       a) 0                           b)                             c)                           d)
                                                4                      2                  √2
                                      2
                                           2
               4        If x + y = 3, x  + y  = 5, then x y is   ________.                          1
               5       Multiply 94 x 106 by using suitable identity.                                1
                                                 2
                                            2
                                                      2
               6       If a +b +c=10 and a  + b  + c  = 40, find a b + b c + c a                    1
                                      2
               7        Factorise, 2x +5x-3                                                         1
                                           3
                                                3
               8       Find the value of x  + y  + 6xy +50 when x + y = 2                           2
               9       Factorise: √3   + 11   + 6√3                                                 2
                                       2
               10      Factorise: 8a  – 125b .                                                      2
                                     3
                                              3
                                            2
               11      Factorise: 5(3x + y) + 6(3x + y) – 8                                         3
               12      . Without actually calculating the cubes, find the value of                  3
                                  3
                            3
                       (11)  + (8)  + (–19)
                                           3
               13      Factorise: 25x  – 10x + 1 – 36z                                              3
                                      2
                                                        2
               14      Find the value of x  + y  + x y + xy    if    =  1   and    =  1   .         4
                                                     2
                                                3
                                           3
                                                            2
                                                                     2+√3          2−√3
                                2
               15       If a  + b  + c  = 44 and a + b + c = 8,                                     4
                           2
                                     2
                                                    3
                       find the value of a  + b  + c  – 3abc.
                                          3
                                               3
                                                            1
   1   2