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Test 1 Solutions - Test 1 Name Math 115 007 Clearly mark...

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Test 1 Name: ________________________ Math 115 – 007 September 10, 2009 Clearly mark all answers where appropriate. Show all work. Partial credit may be given for work shown, but full credit may not be given for correct answers with incomplete or incorrect work. No calculators or outside assistance may be used during this quiz. 1. (4 points) Circle each correct property of exponents and radicals (there may be more than one correct answer) a. n n n ab b a ) ( = b. nm m n a a a = c. nm m n a a = ) ( d. n n n b a b a + = + ) ( 2. (4 points) Classify the following expressions as polynomial, rational (but not polynomial), or neither. a. 1 5 100 3000 - - x x Polynomial b. 3 4 - + x x Rational c. 100 100 x x + Neither d. 7 Polynomial 3. (4 points each) Write the equation given the description. a. The circle with center (-2, 9) and radius 3 2 2 2 3 ) 9 ( ) 2 ( = - + + y x b. The line with slope 2 3 passing through the point (3, 4) ) 3 ( 2 3 4 - = - x y OR 2 1 2 3 - = x y c. The line passing through the points (4, 3) and (-1, -7) 2 5 10 ) 1 ( 4 ) 7 ( 3 = = - - - - = m , ) 4 ( 2 3 - = - x y , OR ) 1 ( 2 7 + = + x y , OR 5 2 - = x y d. A quadratic equation with solutions 3 , 1 - - = x 0 3 4 ) 3 )( 1 ( 2 = + + = + + x x x x
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Test 1 Name: ________________________ Math 115 – 007 September 10, 2009 4. (4 points each) For each equation, write the solution set for x and classify each equation as an identity, conditional, or inconsistent. a. 8 3 5 2 - = - x x 8 2 + - x 8 2 + - x x = 3 Since this equation has a solution, it is conditional. b. 1 1 1 1 1 1 2 - = + + - x x x Since ) 1 )( 1 ( 1 2 - + = - x x x , multiply both sides of the equation by ) 1 )( 1 ( - + x x .
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