practiceproblems - Practice problems for Econ 1530 Sections...

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Practice problems for Econ 1530 Sections C and D York University Fall 2005 Problem 1. Aquant ity K grows by 2% per year (with annual compounding). After 4 years the quantity has increased to: (a) K (1 . 02) 4 (b) K (1 . 04) 2 (c) K (1 . 02) 2 (d) K (1 . 04) 4 Problem 2. Aquan t i ty K grows by p % per year, every year for 110 years (with annual compounding). At the end of this 110 year period the quantity has tripled (that is, it has grown to 3 K ). The growth rate is closest to which of the below options? (a) p =0 (b) p =1 (c) p =2 (d) p =3 Problem 3. The expression ax 2 +4 y ( y x a ) can be written as which of the following? (a) [ ax 2 y ] 2 (b) [ x a +2 y ][ x a 2 y ] (c) [ x a 2 y ] 2 (d) none of the above Problem 4. The inequality a b> 1 can be written as which of these inequalities? (a) b a> 1 (b) b a< 1 (c) b + a> 1 (d) none of the above Problem 5. The solution to the equation ax + b = a (1 x ) + 2 can be written as: (a) x = 1 a + 1 2 a b a (b) x = 2+ a b 2 (c) x = 2+ a
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Problem 6. The solution(s) to the equation x 2 + bx = 0 is (are): (a) x 1 =1 /b and x 2 =0 (b) x 1 = b and x 2 =0 (c) x = 0 is the only solution (d) the equation has no solution Problem 7. Let the mean of a population be x = 1 T P T i =1 x i , and the sum of squared deviations from the mean be S = P T i =1 ( x i x ) 2 .Then S can be written as: (a) h P T i =1 ( x x i ) i T x (b) ³ P T i =1 x 2 i ´ x 2 (c) ³ P T i =1 x 2 i ´ + x 2 (d) ³ P T i =1 x 2 i ´ T x 2 Problem 8. Let f ( x )= 1 1 x . Which one of the below numbers belongs to the domain of f ? (a) 2 (b) 1 (c) 0 (d) 1 Problem 9. The graph of the linear function f ( x ) passes through the points ( x 1 ,y 1 )=(0 , 1) and ( x 2 ,y 2 )=(1 , α ). Which of the below is true? (a) f ( x )=1+(1 α ) x (b) f ( x )=1+ α x (c) f ( x )=1+ cx (d) f ( x )=1 (1 α ) x Problem 10: Rewriting 200 y 120 x 100 = 0 on the form y = ax + b ,g ives : (a) a =0 ; b =200 (b) a =3 / 5; b =1 / 2 (c) a = 100; b =5 (d) a =1 ; b =1 a Problem 11: The line in Figure 1 is the graph of which function? (a) y =2 x (b) y = x +1 (c) y =2 x + x (d) y =2 x +1 Problem 12: The graph in Figure 2 refers to a function f ( x )= ax 2 + bx + c . Which option below is true about a ,
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practiceproblems - Practice problems for Econ 1530 Sections...

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