CH. 5 Test - Quadratic Expressions TOTAL: / 40 marks 1. Expand and Simplify. [ Parts a and b - 3 marks each, Part c - 4 marks] (a) (2p - 3)(5p + 7) (b) 5(10m + 7)(10m - 7) (c) (3x - 1) (7x - 6) - 3(2 + x)2 2. Factor fully, if possible. [ 3 marks each] (a) 9x2 -81 (b) 27nop* - 18n3p2 + 45np5#2 [continued Factor fully, if possible.) {c} 512 161 + 3 {d} 3r:2 + 12:: + 63 {e} ayz Zay + 5}! 10 #3. The area (in meters squared) of a rectangular pool is given by the expression 4x2 25. Determine expressions that represent the length and width of the pool. (3 marks) #4. Alex throws a ball from the top of a building and watches the ball hit the ground. The path of the ball is modelled by h = -4d + 20d + 56, where h is the height above the ground in feet and d is the horizontal distance the ball travels in feet. (a) How tall is the building? (1 mark) (b) Determine the horizontal distance the ball travels when it lands on the ground (4 marks) (c) Determine the maximum height of the ball. (4 marks) #5. Determine a simplified expression for the area of a rectangle with dimensions 2x + 5 and 6x - 7.