1. Simplify the expression. 3 a b 3 2b 3 a) 6 ( a b2 ) 0 2 4 ( 2m2 n ) ( 3 m0 n2 ) b) 2. 2 For the following polynomial (5 x 4 + x1 )( 3 x 3 +2 x 2x ) ( 4 +2 x2 3 x 4 ) a) Simplify the expression b) Evaluate the expression when x=1 3. Simplify and express your answer in simplest form using only positive exponents. 2 4 a) 10 x y z 5 1 6 x y z b) 2 x ( 5 xy )3 75 ( x y1 ) 2 4. Solve the equation below. If the equation has a unique solution, please show the complete check of your answer. 7 x+ 45 ( x+2 )=8 ( x+1 )(3 x4) 5. Solve the equation below, clearing the fractions in the first step. If the equation has a unique solution, please show the complete check of your answer. 5 8 7 n =2 n+ 2 5 5 6. Solve the inequality below, clearing the fractions in the first step. Write your answer in interval notation and graph the solution set on a number line. 1 4 x x 3 2 5 7. An automobile traveling at 50 mph takes 150 ft to come to a complete stop after applying brakes on a wet road. If stopping distance is directly proportional to the square of the car's speed, what distance will be needed for a car traveling 68 mph to stop under the same road conditions? Express your answer to the nearest tenth of a foot. 8. Solve each of the following: a) Find the equation of the line that passes through (-1, 3) and (2, 1) and express your answer in slope-intercept form. b) Find the equation of the line parallel to the line above that passes through (-3, 2). c) Using algebra, find the x-intercept of each of these lines, expressing each as an ordered pair. 9. Find each product. a) ( 5 ab ) ( a2ab+3 b2 ) b) 4 (2 x1 ) (3 x5) 10. Find each product. a) ( 9 y1 )2 b) (2 z +5 x ) (2 z5 x )