Algebraic Expressions and Identities-Sample Papers

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)