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Math 179: Test for Chapter 1


Place your answer in space provide to the left of each question.

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Be careful to read all of each problem. Because these pages are produced on the WEB, for printed versions of these pages there is a chance that a problem, or its possible answers, will be split across two pages.

Answer each of the following:


____________________ 1. The following three numbers

make which statement below correct:
  1. x, y, and z are rational numbers
  2. x and y are rational, but z is irrational
  3. x and z are rational, but y is irrational
  4. y and z are rational, but x is irrational
  5. x, y and z are irrational

____________________ 2. The following three numbers

make which statement below correct:
  1. x, y, and z are rational numbers
  2. x and y are rational, but z is irrational
  3. x and z are rational, but y is irrational
  4. y and z are rational, but x is irrational
  5. x, y and z are irrational

____________________ 3. The following three numbers

make which statement below correct:
  1. x, y, and z are rational numbers
  2. x and y are rational, but z is irrational
  3. x and z are rational, but y is irrational
  4. y and z are rational, but x is irrational
  5. x, y and z are irrational

____________________ 4.

____________________ 5.

____________________ 6.

____________________ 7. Perform the indicated operation for the complex numbers given as

____________________ 8. Perform the indicated operation for the complex numbers given as

____________________ 9. Perform the indicated operation for the complex numbers given as

____________________ 10. Perform the indicated operation for the complex numbers given as

____________________ 11. Perform the indicated operation for the complex numbers given as

____________________ 12. Perform the indicated operation for the complex numbers given as

____________________ 13. Solve the following inequality

____________________ 14. Solve the following inequality

____________________ 15. Solve the following inequality

____________________ 16. Solve the following inequality

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The next two problems are based on the "Battleship" game presented in class and in the web notes. In each problem you are given the distance from each of two points to the "ship". You are to use that information to identify the location of the ship.
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____________________ 22. Find the domain for the relation given above.

____________________ 23. Find the range for the relation given above.

____________________ 24. Use the blank picture below to graph the relation given above. Be sure to indicate the axes and the scales for the two dimensions.
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____________________ 25. Write out the set listing for the relation that is pictured in the graph below. Be sure to answer this question in appropriate set notation.

____________________ 26.
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____________________ 28.
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____________________ 29.
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____________________ 30.

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©Roger M. Palay
Saline, MI 48176
October, 1999