Each question is worth five points. Clearly show all work and identify your final answer. Be sure to simplify all answers and include units if necessary. 1. Solve for a. 24????2 30???? = 75

2. The area of a rectangle is 54 in2, and the length of the rectangle is 3 inches less than twice the width. Find the dimensions of the rectangle.

3. Solve (???? + 4)2 45 = 0, where x is a real number. Simplify your answer as much as possible.

4. Solve for x. 6????2 7???? 1 = 0

5. A model rocket is launched from an initial height of 26 meters with an initial upward velocity of 32 m/s. The rocket's height (in meters) after t seconds is given by the following. = 26 + 32???? 5????2

When will the rocket reach a height of 15 meters? Round your answer to the nearest hundredth.

1. Rewrite without parentheses. Simplify your answer as much as possible.

7????3????(????6????4 + 2????9???? 5????8)

2. Rewrite without parentheses and simplify. (9???? 2????)2

3. Divide. Simplify your answer as much as possible. (12????4???? 26????2????5 + 16????7????8) (4????3????5)

4. Factor. ????2 + 3???? 18

5. Factor by grouping. 8????2 2???????? 4???? + ????