Precalculus Practice Exam

Part 4 Test 1 Time: 2 hours


  1. Given the equation, tex2html_wrap_inline248 find the following:

  2. Given that the point tex2html_wrap_inline258 is located on the terminal side of the angle t, find a point on the terminal side of the following angles:

  3. Write tex2html_wrap_inline278 as an algebraic expression in x.

    Answer: .

  4. A man, standing on the top of a building that is 1,000 feet high, looks down, with an angle of depression of 42 degrees, to the base of the building across the street. How far apart are the buildings?

    Answer: 1,110.6 feet.

  5. A total of $10,000 is invested for 10 years at 12% per year compounded quarterly. How much interest will be earned during the 10 years?

    Answer: The total interest earned is tex2html_wrap_inline324

  6. Solve for x in the inequality

    displaymath245


    Answer: The set of solutions consists of all numbers x satisfying tex2html_wrap_inline330 or x>-1, or in interval notation: tex2html_wrap_inline334 .

  7. Solve for x: tex2html_wrap_inline338 . Explain how you checked your answer, step-by-step.

    Answer: tex2html_wrap_inline340 or tex2html_wrap_inline342

  8. Assume that the world population at time t is given by tex2html_wrap_inline346
  9. Find the real zeros of tex2html_wrap_inline348 given that 2i is a zero.

    Answer: tex2html_wrap_inline352 and 1

  10. Solve the following system of equations for tex2html_wrap_inline354 and z:

    eqnarray153


    Answer: x=3, y=-2, z=1.


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Wed Jun 18 16:29:17 MDT 1997

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