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1. |
The equation 2x - y + 3z = 5 represents _____________ |
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A. |
a line. |
B. |
a circle. |
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C. |
none of these. |
D. |
a plane. |
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Hint |
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2. |
If you use the parent graph y = x2 as a reference, describe how you would
graph y = -x2 - 3. |
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A. |
Reflect the parent graph over the x-axis and then move the graph down 3 units. |
B. |
Reflect the parent graph over the y-axis and then move the graph to the left 3 units. |
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C. |
Reflect the parent graph over the y-axis and then move the graph down 3 units. |
D. |
Reflect the parent graph over the x-axis and then move the graph up 3 units. |
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Hint |
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3. |
If y varies inversely as x and y = 12 when x = 7, find x when y = 2. |
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A. |
42 |
B. |
10 |
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C. |
7 |
D. |
5 |
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Hint |
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4. |
Solve  +  <  . |
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A. |
a < 0 or a > 5 |
B. |
0 < a < 5 |
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C. |
a < 0 or 0 < a < 5 |
D. |
a > 0 or 0 < a < 5 |
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Hint |
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5. |
Which is an example of a cofunction relationship? |
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A. |
sin 30° = cot 60° |
B. |
sin 30° = cos 60° |
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C. |
sin 30° = sin 60° |
D. |
sin 30° = tan 60° |
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Hint |
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6. |
If the angle the rope makes with the level ground is 46° 30', how long is the rope? |
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 |
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A. |
about 47.5 feet |
B. |
about 51.8 feet |
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C. |
about 25.8 feet |
D. |
about 23.6 feet |
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Hint |
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7. |
Find the magnitude of  for T(4, 0, -6) and M(5, -1, 0). |
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A. |
 |
B. |
 |
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C. |
6 |
D. |
 |
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Hint |
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8. |
Express the complex number -4 - 3i in polar form. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
Find (1 + i)-6. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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10. |
The vertices of a rectangle are at (0, -2), (2, 0), (-1, 3), and (-3, 1). Find the area of the rectangle. |
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A. |
 units2 |
B. |
144 units2 |
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C. |
12 units2 |
D. |
 units2 |
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Hint |
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11. |
Solve the system of equations x + 2 = 0 and y2 = 36 - x2 algebraically. Round to the nearest tenth. |
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A. |
(±2, 5.7) |
B. |
(-2, -5.7) |
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C. |
(-2, ±5.7) |
D. |
(-2, 5.7) |
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Hint |
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12. |
Graph y = log10 (x + 3). |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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13. |
Find the amount of time required for an investment to double at a rate of 8.5% if the interest is compounded continuously. |
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A. |
8.15 yr |
B. |
9.97 yr |
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C. |
6.04 yr |
D. |
10.43 yr |
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Hint |
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14. |
Write a sequence that has one geometric mean between  and 21. |
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A. |
 |
B. |
 |
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C. |
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D. |
 |
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Hint |
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15. |
Write the equation of the line perpendicular to 5y + 3x - 10 = 0 and that passes through the point (3,1). |
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A. |
3x + 5y - 50 = 0 |
B. |
5x - 3y - 4 = 0 |
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C. |
5x + 3y - 12 = 0 |
D. |
5x - 3y - 12 = 0 |
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Hint |
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16. |
Name the coordinates of the vertices of the polygonal convex set. |
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A. |
(-4,-1), (-4,3), (-2,4), (4,-2) |
B. |
(-4,-1), (-4,3), (-2,4), (4,2) |
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C. |
(-4,-1), (-4,6), (-2,4), (4,-2) |
D. |
(-4,-1), (-4,3), (-2,-4), (4,-2) |
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Hint |
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17. |
Find the maximum value of f(x, y) = 2x + y - 4 for the system of inequalities:
y  -3x + 1
y  x - 4
x  0
y 0 |
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A. |
alternate optimal solutions |
B. |
2 |
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C. |
infeasible |
D. |
unbounded |
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Hint |
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18. |
Which inequality represents the graph shown? |
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 |
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A. |
y < 2x + 3 |
B. |
y 2x - 3 |
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C. |
y > 2x + 3 |
D. |
y 2x - 3 |
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Hint |
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19. |
Write  as a fraction. |
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A. |
 |
B. |
 |
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C. |
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D. |
 |
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Hint |
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20. |
Eric guesses at all 8 questions on a true/false test. Find the probability that he got at least 6 correct. |
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A. |
0.1445 |
B. |
0.1618 |
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C. |
0.1528 |
D. |
0.1353 |
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Hint |
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