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Unformatted text preview: MAT 183 Practice Test #1, Fall 2007; Ver. A YOUR NAME Signature: Instructions: Sign this test sheet above Check that you have 12 pages (6 sheets) and that they are all from the same version of the test. TURN YOUR CELL PHONE OFF AND PUT IT AWAY. There are 11 problems and each problem has several parts, the last part could be hard. Watch you time so that you get to the easy parts of each problem. Write the answers on this test sheet. DO NOT WRITE ON THE REST OF THIS COVER SHEET! (Your instructor will use this sheet for recording your scores.) Problem 1 (8 pts. ) : Problem 7 (5 pts. ) : Problem 2 (9 pts. ) : Problem 8 (10 pts. ) : Problem 3 (9 pts. ) : Problem 9 (8 pts. ) : Problem 4 (12 pts. ) : Problem 10 (10 pts. ) : Problem 5 (10 pts. ) : Problem 11 (10 pts. ) : Problem 6 (9 pts. ) : TOTAL (100 pts. ) : 1 2 Part 1: Linear Algebra (Chapter 2) Problem 1. (8 points) Solve completely each of the following systems of equations: (i) 4 x + 2 y z = 3 2 x y + z = 5 12 x + 2 y = 4 (ii) 4 x + 2 y z = 3 2 x y + z = 5 12 x + 2 y = (iii) 4 x + 2 y z = 3 2 x y + z = 5 12 x + 2 y 5 z = (iv) w + x y + z = 4 x + y = 2 y + z = 3 w + z = 2 Problem 2. (9 points) If 5 oranges, 5 apples and 5 grapefruit cost $ 9.85; 6 oranges, 8 apples and 1 grapefruit cost $ 9.35 and 10 oranges9....
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 Fall '09
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