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MATH D E2 - Intermediate Algebra Exam 2 Erika Noffsinger...

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Unformatted text preview: Intermediate Algebra / Exam # 2 Erika Noffsinger / Fall 2009 Name:_____________________________________________ Points Earned Points Possible 1. 18 Points ( 6each) 2. 3. 4. 5. 6. 7. 8. 9. 10. Extra Credit 5 points 12 points (6 each) 10 points (3, 7) 7 points 7 points 18 points (6 each) 6 points 10 points (7,3) 7 points Total:___________________________________(100 points) 1. Solve the following equations: a) x2 – 4x = 45 b) 2x2 – 5x = 12 c) (x – 1)(x + 4) = 14 2. Use long division to divide (4x4 + 6x3 + 3x – 1) by (2x2 + 1). 3. Perform the following operations and simplify a) b) 4. For x 3 2 x 2 8x x 2 4 x 4 3 x( x 2 16) 9x 2 2x 6 x 1 2x 1 4 4x 1 2 2x 3 4x 9 2x 3 a) What restrictions do we need to put on x? b) Solve for x, if there is no solution, state why. 5. Simplify the rational expression . 6. Do only one of the two word problems. Circle which one you want graded. a) A passenger train can travel 240 miles in the same amount of time it takes a freight train to travel 160 miles. If the rate of the freight train is 20 miles per hour slower than the rate of the passenger train find the average rate of each. b) A hurricane strikes and a rural area is without food or water. Three crews arrive. One can dispense needed supplies in 10 hours, a second in 15 hours and a third in 20 hours. How long will it take all three crews working together to dispense food and water? 7. Perform the following operations and simplify. a) b) 12 x 3 x 75 x 5 16 xyz 2 5 2 x 4 y 6 z 8 3 c) 6c 4 d 14 48c 2 d 2 3 8. For 10 2 , rationalize the denominator. 10 5 9. For 3 17 4 x 17 = 19 a) What restrictions do we need to put on x? b) Solve for x, if there is no solution, state why. 10. Let f(x) = . Find f( 3i )and simplify your answer in the form of a + b i. Extra Credit: Perform the indicated operations. a) b) c) d) e) 11 xx 1 1 1 x x x 1 1 1 1 x x x x 1 1 1 1 1 x x x x x 1 1 1 1 1 1 x x x x x x n division symbols ...
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