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1. |
If j(x) = x2 + 1, find j(a + 1). |
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A. |
a2 + a + 1 |
B. |
a2 + 2a + 1 |
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C. |
a2 + a + 2 |
D. |
a2 + 2a + 2 |
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Hint |
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2. |
The graph of the system of inequalities is shown below. Name the coordinates of the vertices of the polygonal set. |
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A. |
(1, -1), (-1, 3), and (2, 1) |
B. |
(0, 0), (2, 0), and (2, 6) |
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C. |
(1, -4), (3, 0), and (0, 1) |
D. |
(-1, 1), (-1, 4), and (2, 1) |
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Hint |
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3. |
The diameter of a circle is 18 inches. If a central angle measures 64°, find the length of the intercepted arc. |
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A. |
about 18.2 in. |
B. |
about 20.1 in. |
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C. |
about 10.1 in. |
D. |
about 14.6 in. |
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Hint |
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4. |
Complete the identity of  _________. |
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A. |
sin x |
B. |
cot x |
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C. |
tan x |
D. |
cos x |
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Hint |
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5. |
Write the equation 3x + 4y = 9 in polar form. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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6. |
What is the conjugate of –9 – 2i? |
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A. |
2 + 9i |
B. |
9 |
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C. |
–9 + 2i |
D. |
2 – 9i |
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Hint |
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7. |
If rectangle ABCD has vertices A(0, 0), B(a, 0), and C(a, b), find the coordinates of D. |
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A. |
(0, b) |
B. |
(0, -b) |
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C. |
(0, 3) |
D. |
(a, 0) |
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Hint |
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8. |
Solve 54x = 72. |
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A. |
0.6643 |
B. |
0.3246 |
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C. |
0.5139 |
D. |
0.4217 |
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Hint |
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9. |
Convert log5 145 to a natural logarithm. |
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A. |
 |
B. |
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C. |
ln 145 - ln 5 |
D. |
ln 5 - ln 145 |
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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 = 7. |
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A. |
3 units below equilibrium |
B. |
6 units below equilibrium |
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C. |
3 units above equilibrium |
D. |
6 units above equilibrium |
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Hint |
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11. |
Find  . |
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A. |
5 |
B. |
0 |
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C. |
does not exist |
D. |
7 |
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Hint |
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12. |
The set of data {67, 90, 83, 85, 73, 80, 78, 79, 68, 71} represents the ages of death of the first 10 U.S. Presidents. Which of the following represents a histogram of the data? |
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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. |
Determine whether 3x - 5y + 1 = 0 and 6x - 10y + 2 = 0 are parallel, coinciding, or neither. |
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A. |
coinciding |
B. |
perpendicular |
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C. |
parallel |
D. |
all are correct |
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Hint |
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14. |
Given the function f(x) = x2 - 8x + 16, find the inverse. |
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A. |
f -1 = x - 4 |
B. |
f -1 = 4  |
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C. |
f -1 = x - 2 |
D. |
f -1 = (x - 4)2 |
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Hint |
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15. |
Hetu is playing catch with a friend. If Hetu throws the ball at 21.3 m/s, at an angle of 30° with the horizontal, and his friend catches the ball at the same height from which Hetu threw it, how far away is his friend standing? |
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A. |
40.0 m |
B. |
53.4 m |
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C. |
46.2 m |
D. |
23.1 m |
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Hint |
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16. |
Find  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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17. |
Write the equation of the ellipse in standard 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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18. |
Identify the graph of the equation 4x2 +3xy + 6y2 - 6 = 0 then find  to the nearest degree. |
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A. |
ellipse; - 28° |
B. |
circle; -56° |
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C. |
parabola;  |
D. |
hyperbola; - 28° |
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Hint |
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19. |
How many five-letter patterns can be formed from the letters of the word seven if v must always be the last letter? |
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A. |
16 |
B. |
8 |
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C. |
10 |
D. |
12 |
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Hint |
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20. |
Using limits, evaluate  . |
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A. |
 |
B. |
147 |
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C. |
21 |
D. |
 |
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Hint |
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