Factoring+and+Expanding+Practice+Questions

**__Practice Quiz__**
1. Expand the following. a) (x+4)(x-3) b) (2x+6)(2x-6) c) (6x+4)(3x-2)

2. Find the area of farmer Bill's entire farm in metres^2. length = 4y-x width = 2y+2x

3. Find the volume of the tank with the following dimensions. length = x+3 width = x height = 2x-1

4. Expand and Simplify. a) (x+7)^2 b) (2y-1)^2 c) (1+5m)(1-5m) d) 2(3m-n)^2 - 3(2m-5)(m+3)

5. Rewrite in the form (a+b)^2 or (a-b)^2. a) x^2 + 14x + 49 b) 64m^2 - 32m +4

6. Factor if possible. a) 4x + 13 b) 9a^3 + 27b^2 c) 5x(a+b) + 3(a+b) d) xy + 12 + 4x + 3y e) y^2 - y - 20 f) w^2 + 12w + 20 g) p^2 + 14pq - 32q^2 h) 5w^2 + 20w - 60

7. Factor and verify by substituting a value for the variable(s). a) x^2 + 5x + 4 b) m^2 - 10m + 24 c) 2y^2 + 9y + 9 d) 6x^2 + 11x + 3

8. State whether each trinomial is a perfect square. a) x^2 + 6x + 9 b) y^2 - 10y + 25 c) x^2 - 8x + 4 d) 4t^2 + 4t + 1

9. Factor. a) (x+3)^2 - y^2 b) x^2 - 4x + 4 - 9y^2 c) 4x^2 + 12xy + 9y^2 - 4z^2 d) x^4 - 2x^2y + y^2 - z^2