Q2SOL - MAP 103 Proficiency Algebra Quiz#2 Fall 2009...

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Unformatted text preview: MAP 103: Proficiency Algebra, Quiz #2, Fall 2009 Solutions 1. (a) Simplify completely: 6 x 3 y 4 z 5 10 x 4 y 2 z 3 . Sol. Using the rule x m /x n = x m- n , we get that 6 x 3 y 4 z 5 10 x 4 y 2 z 3 = 3 y 2 z 2 5 x . (b) Let f = 1500 , and m = 6 . Find a in scientific notation for the formula f = ma. Sol. If f = 1500 and m = 6 , then a = f/m in the formula f = ma. So divide 1500 / 6 and get 250 . One solution is to write 250 = 2 . 5 × 10 2 . Hence a = 2 . 5 × 10 2 . 2. Let A = (5 , 2) and B = (6 , 3) . (a) Find the midpoint of AB. Sol. Recall, the midpoint is Mid AB = ( x 1 + x 2 2 , y 1 + y 2 2 ) . Following through, we find Mid AB = ( 5+6 2 , 2+3 2 ) = ( 11 2 , 5 2 ) . (b) Find the length (distance) of AB. Sol. Recall, the distance is d ( A,B ) = p ( y 2- y 1 ) 2 + ( x 2- x 1 ) 2 . Hence, we have, d ( A,B ) = p (3- 2) 2 + (6- 5) 2 = √ 1 2 + 1 2 = √ 2 . 3. (a) Determine if the ordered pair (3 , 5) is a solution point for the line x- 2 y =- 6 . Explain....
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This note was uploaded on 04/18/2010 for the course MAP 103 taught by Professor Staff during the Fall '08 term at SUNY Stony Brook.

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Q2SOL - MAP 103 Proficiency Algebra Quiz#2 Fall 2009...

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