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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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