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)