Exam 1 - Spring 2005 - She wants to leave a uniform strip...

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College Algebra Exam #1 Spring 2005 Name ______________________________ Show all your work on this paper. Solutions without correct supporting work will not be accepted . All answers must be exact unless stated otherwise in the problem. Each problem is worth 9 points. 1. a. Solve: ( 29 [ ] 30 72 7 4 2 3 + = - - - x x b. Solve for x: ab x ab x 9 8 2 6 - = + 2. Perform the indicated operations and simplify: a. ) 6 3 ( ) 7 6 ( i i - + + b. i i - + 3 2 3. Solve: 3 2 2 - = - x x 4. Solve by completing the square: 4 3 2 2 = + x x
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5. Solve: 2 5 4 4 10 5 1 2 - = - - + x x x 6. Solve: 3 2 2 + x x 7. Solve: 2 3 6 3 3 + + = - x x 8. How many gallons of a 60% antifreeze solution must be mixed with 70 gallons of 25% antifreeze to get a mixture that is 50% antifreeze?
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9. Cynthia wants to buy a rug for a room that is 12 ft wide and 15 ft long.
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Unformatted text preview: She wants to leave a uniform strip of floor around the rug. She can afford t buy 108 ft 2 of carpeting. What dimensions should the rug have? 10. Given 3 2 ) (-+ = x x x f , find: a. the domain of f b. ) 5 ( f c. ) 5 ( + m f 11. a. Find the slope of the line that passes through the points (-1,3) and (4,-6). b. In 1995, 15% of all U.S. college freshmen listed business as their probable field of study. By 2000, this figure had increased to 16.7%. Find and interpret the average rate of change in the percent per year of freshmen listing business as their probable field of study. ( Source : Higher Education Research Institute.)...
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Exam 1 - Spring 2005 - She wants to leave a uniform strip...

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