MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) The average speed on a round-trip commute having a one-way distance d is given by the 1) complex rational expression 2d d r1 + d r2 , in which r1 and r2 are the speeds on the outgoing and return trips, respectively. Fred and Michael both drove to campus averaging 35 miles per hour and each returned home on the same route he used going and averaged 40 miles per hour. Fred's one-way route was 5 miles longer than Michael's. Simplify the complex rational expression and answer the question: How does Fred's overall average speed compare with Michael's? A) Not enough information is given to answer the question. B) Fred's average speed is the same as Michael's. C) Fred's average speed is lower than Michael's. D) Fred's average speed is higher than Michael's. Factor completely, or state that the polynomial is prime. 2) x 2y - 36y + 144 - 4x 2 2) A) (y - 4)(x + 6)(x - 6) B) (y + 4)(x + 6)(x - 6) C) (y - 4)(x 2 + 36) D) prime Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. 3) -27.4 and 16.3 3) A) |-27.4 - 16.3| = 43.7 B) |16.3 - (-27.4)| = -11.1 C) |-27.4 + (-16.3)| = 11.1 D) |16.3 + (-27.4)| = -43.7 Factor by grouping. Assume any variable exponents represent whole numbers. 4) 5x 3 - 10x 2 + 8x - 16 4) A) (x - 2)(5x 2 - 8) B) (x - 2)(5x 2 + 8)