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1. |
Which is the graph of g(x) = |6 - |2x||? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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2. |
If you use the elimination method to solve the system of equations
3x - 4y = 9 and 2x + 3y = 7, which of the following would be the best method?
Method I: Multiply both sides of the first equation by 2, and multiply both sides of the second equation by 3. Then add the two equations.
Method II: Multiply both sides of the first equation by 3, and multiply both sides of the second equation by 4. Then add the two equations.
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A. |
Method I |
B. |
Neither Method I nor Method II is correct. |
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C. |
Method II |
D. |
Both Method I and Method II are correct. |
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Hint |
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3. |
Solve the system of equations y = 0.5x and 4y = x - 2 by graphing. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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4. |
Choose the graph of y < 2 - |x - 1|. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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5. |
Solve  . |
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A. |
5 |
B. |
2 |
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C. |
5, 1 |
D. |
5, 2 |
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Hint |
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6. |
Determine if the function is periodic. If so, state the period. |
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A. |
yes; 2 |
B. |
yes; 4 |
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C. |
no |
D. |
yes; 1 |
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Hint |
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7. |
Find a numerical value of one trigonometric function of x if  |
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A. |
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B. |
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C. |
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D. |
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Hint |
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8. |
The cross product of two vectors is _______. |
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A. |
a dot product |
B. |
perpendicular to both vectors |
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C. |
parallel to both vectors |
D. |
not a vector |
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Hint |
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9. |
Find the rectangular coordinates of the point Q(-5, -35°). |
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A. |
(4.10, 2.87) |
B. |
(-4.10, -2.87) |
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C. |
(-4.10, 2.87) |
D. |
(4.10, -2.87) |
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Hint |
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10. |
Find the distance between P(5, -3) and the line with equation
5x + 12y = 18. |
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A. |
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B. |
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C. |
13 |
D. |
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Hint |
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11. |
Which are the coordinates of the vertices of a parallelogram? |
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A. |
(0, 4), (2, 9), (-1, -3), (4, 6) |
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B. |
(-1, 1), (1, 4), (6, 5), (4, 2) |
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C. |
(1, 1), (-3, 0), (4, 2), (-2, 3) |
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D. |
(-3, 2), (5, 1), (4, 0), (-1, 3) |
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Hint |
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12. |
Which series is a convergent geometric series? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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13. |
If the k term of Sk is 4 + 2k, find the (k + 1) term. |
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A. |
k + 1 |
B. |
2k |
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C. |
6 + 2k |
D. |
8 + 2k |
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Hint |
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14. |
Which statement is not true for a binomial experiment? |
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A. |
The outcomes of each trial must be dependent. |
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B. |
There must be a fixed number of trials. |
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C. |
The probabilities in each trial must be independent. |
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D. |
Each trial has exactly two outcomes. |
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Hint |
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15. |
Write an equation of a line that has no slope and passes through
the point (5,-6). |
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A. |
y = -6 |
B. |
x = -6 |
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C. |
y = 5 |
D. |
x = 5 |
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Hint |
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16. |
The quadrilateral with vertices A(-1,5), B(2,7), C(4,5) and D(3,3) is reflected over the line y = x . Find the image of the quadrilateral after the reflection. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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17. |
Karla is in a contest to see who can hit a baseball the farthest. If she hits a ball with an initial velocity of 94.5 ft/s at an angle of 42° with the horizontal, how far will the ball travel before it hits the ground? |
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A. |
395 ft |
B. |
250 ft |
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C. |
139 ft |
D. |
277 ft |
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Hint |
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18. |
You are following a compass course, where you are given instructions to get from a starting point to a finishing point by walking certain distances in certain directions using a compass. At the beginning of the course, the directions say to walk 50 ft at 30° to reach a big oak tree. Later, you realize that you are only 70 ft away from the starting point, at an angle of 120°. How far are you from the big oak tree? |
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A. |
53.9 ft |
B. |
70.8 ft |
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C. |
104.4 ft |
D. |
86.0 ft |
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Hint |
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19. |
Determine the amount of money in a money market account providing an annual rate of 6.5% compounded daily if the invested amount of $3,500 is left in the account for 5 years. |
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A. |
$3,943.84 |
B. |
$3,735.03 |
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C. |
$1,343.97 |
D. |
$4,843.97 |
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Hint |
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20. |
Find the first three iterates of the function f(z) = z2 - 8 – 5I if the starting value is 2 - i. |
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A. |
-5 - 7i, -11i, 7 - 13i |
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B. |
-3 - 5i, 26 - 5i, 693 - 5i |
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C. |
-5 – 9i, -64 + 85i, -3137 – 10885i |
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D. |
-7 - 5i, -4 - 5i, 1 - 5i |
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Hint |
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