Question One a) Simplify the following expressions: (i) (x2 + 7x + 10) / (x2+ 5x + 6) (ii) (z-2) / (2 +8) x 1/ (4z -8) (iii) 7xy+3yx+9xy=19xy (2 marks x 3 = 6 marks) b) Solve the following simultaneous equations (i) 5a+12b = 61 4a+6b = 38 (6 marks) (ii) 5m+6n =45 3m+4n=29 (6 marks) c) Solve the following quadratic equations (1) x2 + 8x + 7 =0 (ii) x2 = x = 20 = 0 (iii) 6x4- x -1=0 (iv) -3x2 + 4x- 5=0 (2 marks x 4 = 8 marks) d) You are planning to purchase a house after two months and want to estimate how much it will cost. You found a dream house and the mortgage advisor informed you that the current price of the house is $425,000. He informed you that they expect the price to go up by 2.5% every month. How much will the house cost after two months? (3.3 marks) e) Frodo, Samwise, Pippin, and Merry have agreed to partner in an organic pet food delivery business based on the ratio 5:5:4:2 respectively. They expect to earn profit of E960,000 in the first year. How much does each partner receive in money terms? (4 marks) Total 33.3 marks