# 311 - Department of Mathematics The City College of New...

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Department of Mathematics The City College of New York Math 19000 Final Examination Spring 2007 Instructions: Show all work in this booklet. You may use a scientific calculator. Answer 10 questions in Part I and 10 questions in Part II. Each question is worth 5 points. In this examination, Work out each problem on the same page as the question. When you are finished, write the answer in the answer box at the top of the page. For each problem you omit (two in Part I and two in Part II), write the word “OMIT” in the answer box at the top of the page. Please print your name:_______________________________ Please sign your name:_______________________________ Your instructor’s name:________________________________ 1

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Part I (Questions 1 to 12) Choose any 10 questions from this part. 1) Rewrite 1 2 1 2 - + - - x x x x x as a completely reduced fraction. Your answer (or write OMIT) Show all work below! 2
2) Solve the system of equations: = - = + 7 2 4 2 2 2 y x y x . Your answer (or write OMIT) Show all work below! 3

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3) Given 2 ) ( x x x f - - = simplify h h x f h x f ) ( ) ( - - + . Your answer (or write OMIT) Show all work below!
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