MA 153 Exam 1A Spring 2007 1. Given that x< 0, , and y > 0z< 0, which of the following values must be positive? 2 . . . . . More than one is positivexAyxyBzCyzxyzDzE 2. Simplify. Do not leave negative exponents in your answer. 3x−4()−2x6()12x−9 A. −12x7B. − 8x11C. −12x15D. x118x4E. −x112 3. Simplify. Do not leave negative exponents in your answer. −4x0y−3z6()2 A. x2z816yB. 16z12y6C −4x2z8yD. −8z12y6E. None of the above 1MA 153 Exam 1A Spring 2007 4. Simplify completely. ()()57 3515 5xyxy ()()()()()467174646717. 5 3. 2 5. 2 5. 2 5. 5 3AxyBxy xyCxy xyDxyExy xy 5. Divide and express as a polynomial. 8a6b2−16a12b7+12a6b64a3b 32 77 6622 47 2621 14396353 127 66. 8 4 12. 2 4 3. . 2 4 3. 2 16 12Aab ab abBab ab abCabDabab abEab ab ab−+−+−+−+ 6. Multiply and express as a polynomial. 5x − 3()2x + 7() 2222. 10 21. 10 7 21. 10 29 21. 10 41 21. None of the aboveAxBx xCx xDx xE−++−++− 7. Which of the following is a factor of 16y4−81? . 4 3. 2 9. 4 9. 2 9. 2 3AyByCyDyEy−−+++2MA 153 Exam 1A Spring 2007 8. Simplify completely. 2222427667xxxx xx+−÷++ +−3 ()()()()()231.232.2232.231.22. None of the abovexAxxBxxxCxxDxxE−−−+−−−−+− 9. Rationalize the denominator and simplify. m− 5m+ 3 A. m −15m + 9B. m − 25m + 9C. m − 8 m+15m − 9D. m +15m − 9E. m − 2 m−15m + 3 10. Solve for . Simplify your answer. x 26110xx−−= . 3 2 5. 3 4 5. 3 2. 3 6 11. 3 2 2AxBxCxDxEx=±=±=±=±=± 3MA 153 Exam 1A Spring 2007 11. Solve the following equation. Choose the answer that best describes the solution(s). 76x + 3()+56x − 3()=2x−1x2− 9 A. There is only one solution. It is between 1 and 2.B. There is only one solution. It is x = 0.C. There is only one solution. It is between 0 and 1.D. There is no solution.E. All real numbers are solutions except x =±3. 12. Solve W =3n +pn for . n . 33. 3. 3. 3. pAnWpBnWWCnpWpDnWWEnp=−+=+=+=−= 13. A workman has a basic hourly wage and earns time and a half (his hourly wage plus another half of that wage) for hours worked in excess of 40. His paycheck for one week was $750 and he worked a total of 48 hours that week. If represents the basic hourly wage, write an equation that would be used to find . Do not solve. xx ()()3. 75023. 48 75023. 40 8 7502. 40 4 750. 40 60 48 750Ax xBx xCx xDxxEx x+=+−=⎛⎞+=⎜⎟⎝⎠+=+−= 4MA 153 Exam 1A Spring 2007 14. A boat travels at a constant rate of 8 miles per hour in still water. It travels upstream for 34 of an hour. It then turns around and travels downstream, returning to the starting point, in 12 of an hour. Find the rate of the current. A. 85 mphB. 54 mphC. 32 mphD. 10 mphE. None of the above 15. A conference table is to be constructed in the shape of a rectangle with two equal-sized semicircles on either end (see the figure). Let represent the length of the rectangle. The radius of each semicircle is x72 feet and the total area of the table is to be 110 square feet. Find the equation that would be used to find . Simplify the equation. Do not solve the equation. x 7. 49 1102. 7 49 110749. 1102449. 7 110449. 7 1108πππππ+=+=+=+=+=AxBxCxDxEx x
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