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1. |
Write the standard form of the equation of the line that passes through the point (-4, -2) and is perpendicular to the graph of 3x - 2y + 9 = 0. |
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A. |
3x - 2y - 14 = 0 |
B. |
2x> + 3y - 14 = 0 |
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C. |
3x - 2y + 14 = 0 |
D. |
2x + 3y + 14 = 0 |
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Hint |
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2. |
Solve the system of equations y = 0.5x and 4y = x - 2 by graphing. |
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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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3. |
Determine the symmetry of g(x) =  . |
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A. |
not symmetric |
B. |
symmetric with respect to only the y-axis |
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C. |
symmetric with respect to only the x-axis |
D. |
symmetric with respect to the origin |
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Hint |
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4. |
If you solve x2 - 8x - 20 = 0 by the method of completing the square, add 20 to each side and then ____. |
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A. |
add 32 to each side |
B. |
add 16 to each side |
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C. |
add 8 to each side |
D. |
add 4 to each side |
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Hint |
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5. |
Solve  . |
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A. |
-6 |
B. |
-10 |
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C. |
8 |
D. |
4 |
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Hint |
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6. |
Given a central angle of 105°, find the length of its intercepted arc in a circle of radius 6 centimeters. Round to the nearest tenth. |
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A. |
10.4 cm |
B. |
5.2 cm |
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C. |
11.0 cm |
D. |
22.0 cm |
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Hint |
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7. |
Determine the angular velocity if 4.5 revolutions are completed in 7 seconds. Round to the nearest tenth. |
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A. |
2.0 radians/s |
B. |
5.01 radians/s |
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C. |
4.0 radians/s |
D. |
11.1 radians/s |
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Hint |
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8. |
If csc  = 2, find sin . |
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A. |
 |
B. |
2 |
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C. |
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D. |
 |
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Hint |
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9. |
Find  . Express the result in rectangular form. |
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A. |
-1024 |
B. |
-1024i |
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C. |
1024 |
D. |
1024i |
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Hint |
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10. |
Suppose the equation  models a buoy bobbing up and down in the water. The equilibrium point is y = 0. Describe the location of the buoy when t = 0. |
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A. |
6 units below equilibrium |
B. |
equilibrium |
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C. |
6 units above equilibrium |
D. |
0.5 unit above equilibrium |
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Hint |
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11. |
Find ln (-7) to four decimal places. |
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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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12. |
If the k term of Sk is 4 + 2k, find the (k + 1) term. |
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A. |
k + 1 |
B. |
8 + 2k |
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C. |
2k |
D. |
6 + 2k |
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Hint |
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13. |
Find the mean of the set of data
{67, 90, 83, 85, 73, 80, 78, 79, 68, 71}. |
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A. |
75.2 |
B. |
76.9 |
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C. |
77.4 |
D. |
82.2 |
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Hint |
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14. |
A bank charges a $10 fee if the account balance is less than $200. If the balance is in between $200 and $500 there is a $5 fee. If at least $500 is in the account, there is no fee. What type of function best represents this situation? |
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A. |
greatest integer function |
B. |
piecewise function |
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C. |
step function |
D. |
absolute value function |
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Hint |
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15. |
Use matrices to determine the coordinates of the image of
 with vertices A(-3,4), B(-5,2) and C(-6,5) once it is rotated 90°. |
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A. |
A'(3,4), B(5,2) and C'(6,5) |
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B. |
A'(-4,-3), B(-2,-5) and C'(-5,-6) |
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C. |
A'(-3,-4), B(-5,-2) and C'(-6,-5) |
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D. |
A'(3,-4), B(5,-2) and C'(6,-5) |
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Hint |
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16. |
Graph the point T . |
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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. |
Identify the conic section with equation y2 = x + 2y - 16. |
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A. |
parabola |
B. |
ellipse |
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C. |
circle |
D. |
hyperbola |
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Hint |
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18. |
Which set of inequalities represents the graph? |
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A. |
x2 + y2  9;
y  x + 1 |
B. |
x2 + y2 3;
y x + 1 |
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C. |
x2 + y2 9;
y x + 1 |
D. |
x2 + y2 3;
x y + 1 |
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Hint |
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19. |
Convert log4364 to a natural logarithm and evaluate. |
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A. |
4.4889 |
B. |
0.2351 |
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C. |
4.2559 |
D. |
4.2539 |
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Hint |
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20. |
The Consumer Prime Index between 1950 and 1966 can be modeled by the exponential function y = 20.48e0.0442x, where x is the number of years since 1950. Predict the CPI in 2013. |
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A. |
20.0 |
B. |
331.6 |
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C. |
27.1 |
D. |
516.0 |
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Hint |
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