Algebraic Expressions and Identities-Sample Papers

Algebraic Expressions and Identities

TEST
Maximum time- 30 minutes
Maximum marks- 20
1.  Add: a + b + ab; b – c + bc and c + a + ac.      (2)
2.  Verify the identity (x + a)(x + b) = x2 + (a + b)x + ab for a = 2, b = 3 and x = 4.      (3)
3.  Find the volume of cuboid whose dimensions are (x2 – 2); (2x + 4) and (x - 3).      (4)
4.  Write the terms and coefficients of 3 – xy + yz – xz.      (2)
5.  Simplify: (a + b +c)(a + b – c).      (2)
6.  Simplify the expression x(2x-1) + 5 and its value at x = -2.      (3)
7.  Using suitable identities find (xy + 3p)2.      (2)
8.  Subtract 5x2 – 6y2 + 8y – 5 from 7x2 – 5xy + 10y2 + 5x – 4y.      (2)