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Math Assessment

Math Assessment - College of Human Ecology Cornell...

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College of Human Ecology Cornell University Ithaca, New York Department of Policy Analysis and Management PAM 200 Intermediate Micro PAM 210 Intro Stats A. Sinan ¨ Un¨ur – Spring 2008 Math Assessment – Answers January 30, 2008 Multiple Choice MC 1) Consider a number x > 1. How much greater is x 2 than x ? ( a ) 1 ( b ) 2 ( c ) x ( x - 1 ) ( d ) ( x + 1 )( x - 1 ) Answer : 1c . We have: x 2 - x = x ( x - 1 ) . MC 2) Suppose a function f is defined as f ( x ) = 2 x + 1 and another function g is defined as g ( x ) = f ( x )+ 3 . Then: Answer : 2a . f ( 5 ) = 2 × 5 + 1 = 11. Therefore, g ( 5 ) = 11 + 3 = 14.

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MC 3) Consider the equation x = 3 . The value or values of x that satisfy this equation are: Answer : 3b . 9 = 3 × 3. Therefore, 9 = 3. MC 4) Consider the equation | x | = 1 . The value or values of x that satisfy this equation are: Answer : 4a . The absolute value of x , denoted | x | , is defined as | x | = - x if x < 0 x if x 0 . MC 5) Consider an exam where there are 10 questions worth 1 point each and 10 questions worth 2 points each. You have 60 minutes to complete the exam. You want to use all the time available to you and you allocate your time in proportion to the point value of each ques- tion. How many minutes should you allocate to each 2 point question? ( a ) 2 minutes ( b ) 3 minutes ( c ) 4 minutes ( d ) 6 minutes
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