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1. |
Find  (x) if f(x) = 3x2 + 1 and g(x) = 2x + 3. |
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A. |
12x2 - 36x + 28 |
B. |
6x2 + 5 |
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C. |
6x2 - 5 |
D. |
12x2 + 36x + 28 |
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Hint |
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2. |
Find the zero of the function f(x) = -8x + 4. |
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A. |
 |
B. |
2 |
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C. |
-2 |
D. |
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Hint |
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3. |
Jane is opening a home-based business. She determined that she will need $4500 to buy a computer and supplies to start. She expects expenses for each following month to be $800. Write an equation that models the total expense y after x months. |
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A. |
y = 800x + 4500 |
B. |
y = 4500x + 800 |
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C. |
y = 4500x - 800 |
D. |
y = 800x - 4500 |
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Hint |
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4. |
Use a graphing calculator to find the equation of the regression line. |
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A. |
y = 2x - 25 |
B. |
y = 23x - 21,000 |
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C. |
y = 12x - 23,947 |
D. |
y = x - 576 |
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Hint |
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5. |
Find the value of  for an angle  in standard position if a
point with coordinates (-12, 5) lies on its terminal side. |
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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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6. |
Write the equation for the inverse of y = Arctan 4x. |
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A. |
y = 4 Tan x |
B. |
y =  Tan x |
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C. |
y = 2 Tan x |
D. |
y =  Tan x |
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Hint |
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7. |
Which are the coordinates of the vertices of a parallelogram? |
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A. |
(-3, 2), (5, 1), (4, 0), (-1, 3) |
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B. |
(1, 1), (-3, 0), (4, 2), (-2, 3) |
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C. |
(0, 4), (2, 9), (-1, -3), (4, 6) |
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D. |
(-1, 1), (1, 4), (6, 5), (4, 2) |
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Hint |
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8. |
Find the vertex of the parabola with equation y2 = 4x + 20. |
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A. |
(5, 0) |
B. |
(-5, 0) |
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C. |
(0, -5) |
D. |
(0, 5) |
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Hint |
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9. |
y = 2x is a(n)_____. |
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A. |
power function |
B. |
linear function |
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C. |
polynomial function |
D. |
exponential function |
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Hint |
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10. |
Graph y < 3x + 2. |
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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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11. |
Write the general term of the 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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12. |
Find the middle term of the expansion of  . |
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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. |
For a set of data organized in a frequency distribution, the midpoint of each class interval is called a ______. |
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A. |
class interval |
B. |
class mark |
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C. |
class range |
D. |
class limit |
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Hint |
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14. |
Find the value of the determinant  . |
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A. |
-25 |
B. |
-29 |
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C. |
-43 |
D. |
-3 |
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Hint |
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15. |
Solve the system of inequalities by graphing.
2x + y  3
2x + y  -2
y 4
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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16. |
Given the function f(x) =  , find the inverse. |
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A. |
f -1(x) = 1  |
B. |
f -1(x) =  |
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C. |
f -1(x) = x - 4 |
D. |
f -1(x) = 4 |
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Hint |
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17. |
Find the magnitude of  for N(-2, -6, -12) and K(3, -6, 7). |
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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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18. |
Express the complex number -9 – 4i in polar form. |
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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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19. |
Write the equation of a circle that passes through points (1, 2), (-1, 4) and (-3, 2) in standard form. |
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A. |
(x + 1)2 + (y - 2) 2 = 4 |
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B. |
(x + 1) 2 + (y - 3) 2 = 4 |
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C. |
(x - 1) 2 + (y - 2) 2 = 4 |
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D. |
(x - 1) 2 + (y + 3) 2 = 4 |
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Hint |
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20. |
Find the first two iterates of the function f (z) = z - 3 + 6i if the starting value is -22i. |
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A. |
-2 + 6I, -1 + 6I |
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B. |
-3 - 16I, -2 - 16I |
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C. |
-487 + 6i, 237130 - 5838i |
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D. |
-3 - 16i, -6 - 10i |
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Hint |
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