Precalculus Practice Test Out Exam

Part 1	Test 3	Time: 1 hour

1. Find the midpoint of the line segment joining the points (-7,-4) and (2,8).

   a)

   

   b)

   

   c)

   

   d)

   

   e)

   None of the above.

2. Find the distance between the points (-7,-4) and (2,8).

   a)

   15

   b)

   

   c)

   

   d)

   

   e)

   None of the above.

3. Find the standard form of the equation of the circle with center (3,-2) and solution point (-1,1).

   a)

   

   b)

   

   c)

   

   d)

   

   e)

   None of the above.

4. Find the slope of the line passing through the points (-7,-4) and (2,8).

   a)

   

   b)

   

   c)

   

   d)

   

   e)

   None of the above.

5. Find the slope of the line represented by the equation 7x-6y-30=0.

   a)

   

   b)

   

   c)

   

   d)

   

   e)

   None of the above.

6. Solve the equation .

   a)

   

   b)

   No solution

   c)

   

   d)

   

   e)

   None of the above.

7. Find the x-intercept of the graph of the equation 2x+3y=6.

   a)

   

   b)

   

   c)

   

   d)

   

   e)

   None of the above.

8. Find the x-coordinate of the point of intersection of the lines 2x-3y=-5 and 4x-y=5.

   a)

   3

   b)

   2

   c)

   -2

   d)

   -3

   e)

   None of the above.

9. Solve . List the rational solutions.

   a)

   

   b)

   

   c)

   

   d)

   1,3

   e)

   None of the above.

10. Solve . List the largest solution.

    a)

    

    b)

    

    c)

    

    d)

    

    e)

    None of the above.

11. Solve . List the solutions, if there is more than one solution, add all the solutions.

    a)

    1

    b)

    -2

    c)

    2

    d)

    -3

    e)

    None of the above.

12. Solve .

    a)

    -3

    b)

    5

    c)

    -3,5

    d)

    3

    e)

    None of the above.

13. Solve .

    a)

    -4,1

    b)

    -4

    c)

    4,-1

    d)

    4,1

    e)

    None of the above.

14. Solve .

    a)

    

    b)

    

    c)

    

    d)

    

    e)

    None of the above.

15. Solve .

    a)

    

    b)

    

    c)

    

    d)

    

    e)

    None of the above.

16. With respect to the graph of the function , which of a, b, or c indicates a horizontal shift?

    a)

    b

    b)

    a

    c)

    c

    d)

    a and c

    e)

    None of the above.

17. Solve .

    a)

    -3,1,2,6

    b)

    1,2,6

    c)

    2,6

    d)

    -3,1

    e)

    None of the above.

18. Determine the interval(s) where the graph of is negative.

    a)

    (2,3)

    b)

    (0,-6)

    c)

    (-2,3)

    d)

    (-2,-3)

    e)

    None of the above.

19. Solve .

    a)

    

    b)

    

    c)

    

    d)

    

    e)

    None of the above.

20. Solve .

    a)

    

    b)

    

    c)

    

    d)

    

    e)

    None of the above.

21. On what interval(s) is the function increasing?

    a)

    

    b)

    

    c)

    

    d)

    

    e)

    None of the above.

    For question 22-25, use the function

22. Evaluate f(-6).

    a)

    No Solution

    b)

    7

    c)

    17

    d)

    1

    e)

    None of the above.

23. Simplify f(t-3).

    a)

    

    b)

    

    c)

    

    d)

    

    e)

    None of the above.

24. Simplify the difference quotient .

    a)

    

    b)

    

    c)

    

    d)

    

    e)

    None of the above.

25. Find the domain of f(x).

    a)

    

    b)

    

    c)

    

    d)

    

    e)

    None of the above.

26. If the zero of the graph of the function f(x) is 7, what is the zero of the graph of the function f(x-10)?

    a)

    -3

    b)

    17

    c)

    3

    d)

    10

    e)

    None of the above.

27. Given f(x)=x+2 and , find .

    a)

    

    b)

    

    c)

    

    d)

    

    e)

    None of the above.

28. Find the inverse of the function .

    a)

    

    b)

    

    c)

    

    d)

    

    e)

    None of the above.

29. Which of the following functions is a one-to-one function?

    a)

    .

    b)

    .

    c)

    h(x)=|x-7|.

    d)

    .

    e)

    None of the above.

30. Given the functions and , find the domain of the composite function .

    a)

    The set of all real numbers.

    b)

    The set of non-negatives numbers.

    c)

    

    d)

    

    e)

    None of the above.

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Mon Oct 20 11:08:26 MDT 1997

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