MATH 1100 COMMON FINAL

SPRING 1993

PLEASE MAKE SURE THAT YOUR NAME AND STUDENT IDENTIFICATION NUMBER APPEAR ON THE ANSWER SHEET IN THE SPACES PROVIDED FOR THIS PURPOSE.

Read all questions carefully. You must use a pencil with a soft black lead ( #2 or HB) to complete the answer sheet. If you mark two or more answers corresponding to a single problem, then that problem is counted as incorrect. YOU ARE NOT PENALIZED FOR GUESSING. You may write in your test booklet, but you only receive credit for properly marking the answer sheet.

Math 1100

  1. Express the following phrase in algebraic notation. ``The distance in miles that a car travels in x hours at y miles per hour.''

    1. x+y
    2. xy
    3. None of these.

  2. Simplify
    1. -31
    2. -25
    3. -7
    4. -12
    5. None of these.

  3. Find the sum.
    1. 4
    2. 5
    3. None of these.

  4. Write the following without the absolute value symbol.

    1. -2 < x < -1
    2. 0 < x < 2
    3. -2 < x > 0
    4. -2 < x < 0
    5. None of these.

  5. Simplify:
    1. 4
    2. 1
    3. None of these.

  6. Evaluate
    1. -32
    2. -10
    3. 32
    4. -2
    5. None of these.

  7. Multiply
    1. None of these.

  8. Factor
    1. None of these.

  9. Multiply and simplify:
    1. None of these.

  10. Solve:
    1. None of these.

  11. The sum of three consecutive odd integers is Find the smallest of these integers.
    1. 23
    2. 27
    3. 24
    4. 25
    5. None of these.

  12. Solve:
    1. 1,3
    2. None of these.

  13. Solve:
    1. No real solution.
    2. None of these.

  14. Solve:
    1. 40
    2. 2
    3. 16
    4. None of these.

  15. Solve: 2-3x >11
    1. None of these.

  16. Solve:
    1. or
    2. None of these.

  17. Find the distance between the points and
    1. None of these.

  18. Determine which of the points lie on the graph of the equation
    1. None of these.

  19. Find an equation for the line passing through the points and
    1. 2x+5y+1=0
    2. 2x-5y-9=0
    3. 3x-y-1=0
    4. 2x-5y-1=0
    5. None of these.

  20. A business had annual retail sales of in 1988 and in 1991. Assuming that the annual decrease in sales follows a linear model, predict the annual retail sales for 1993.
    1. None of these.

  21. Find for
    1. None of these.

  22. Is the following function even or odd?
    1. Odd
    2. Even
    3. Both
    4. Neither
    5. None of these.

  23. Find the vertex of the parabola:
    1. None of these.

  24. Find a polynomial with the given zeros: 0,-1,2
    1. x(x+1)(x+2)
    2. None of these.

  25. Find the domain of
    1. All real values of x
    2. All real values of x such that
    3. All real values of x such that
    4. All real values of x such that
    5. None of these.

  26. Solve the system of equations:

    1. None of these.

  27. Solve the system of equations:

    1. None of these.

  28. If is invested at interest compounded daily, find the balance after 10 years.
    1. None of these.

  29. Find the domain of the function:
    1. None of these.

  30. Write as a sum, difference, or multiple of logarithms:
    1. 16-3x
    2. None of these.

  31. Solve:
    1. None of these.

  32. Find the coefficient of in the expansion of
    1. 35
    2. 8
    3. 280
    4. 1,680
    5. None of these.

  33. A group of 6 students are seated in a single row at a football game. In how many different orders can they be seated?
    1. 240
    2. 720
    3. 560
    4. 1220
    5. None of these.

  34. A card is drawn at random from a standard deck of 52 playing cards. Find the probability that the card is a spade.
    1. None of these.

End of Exam



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