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1. |
Choose the matrix that represents the ordered triple (5, -7, 1). |
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A. |
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B. |
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C. |
[5 -7 1] |
D. |
[1 -7 5] |
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Hint |
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2. |
For the determinant  , which is the minor of -4? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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3. |
Solve  using inverse matrices. |
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A. |
(4, -4) |
B. |
(-4, 4) |
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C. |
(-4, 0) |
D. |
(4, 4) |
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Hint |
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4. |
Express  using exponents. |
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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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5. |
Find the coordinates of the vertices of a hyperbola with equation
y2 - 4x2 - 6y - 16x - 11 = 0. |
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A. |
(-2, 7), (-2, -1) |
B. |
(-4, 3), (2, 3) |
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C. |
(-6, 3), (2, 3) |
D. |
(-2, 1), (-2, 5) |
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Hint |
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6. |
Solve the equation (x -2)(x + 2) = 0. |
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A. |
-2, 2 |
B. |
2 |
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C. |
-2 |
D. |
2, 0 |
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Hint |
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7. |
Solve 4x2 - 8x + 3 = 0 by completing the square. |
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A. |
 |
B. |
 , 3 |
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C. |
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D. |
1, 3 |
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Hint |
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8. |
Solve log4 3 + log4 x = log4 18. |
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A. |
15 |
B. |
12 |
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C. |
6 |
D. |
54 |
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Hint |
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9. |
 |
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A. |
1.022 |
B. |
-2.266 |
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C. |
±1.022 |
D. |
1.648 |
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Hint |
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10. |
What is Sn if a1 = 27.5, d = 1.5, and n = 35? |
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A. |
1855 |
B. |
2152.5 |
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C. |
1245 |
D. |
98,175 |
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Hint |
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11. |
 |
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A. |
860 |
B. |
838.5 |
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C. |
430 |
D. |
820 |
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Hint |
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12. |
If it exists, what is the sum of the infinite series  |
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A. |
20 |
B. |
The sum does not exist. |
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C. |
 |
D. |
 |
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Hint |
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13. |
In a random survey of 600 students in a school, 75% of the students said that they participated in extra-curricular activities. Find the margin of error for the sampling. |
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A. |
0.0353553 |
B. |
0.0003125 |
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C. |
0.0004167 |
D. |
0.0176777 |
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Hint |
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14. |
Solve the inequality | 6x + 2 | < 5. |
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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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15. |
Which of the following is always true about inequalities whose graphs do not overlap? |
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A. |
Each slope is positive. |
B. |
Their slopes are equal. |
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C. |
Their slopes are opposite reciprocals. |
D. |
Each slope is negative. |
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Hint |
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16. |
What are the dimensions of matrix A if  |
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A. |
3 × 4 |
B. |
3 × 3 |
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C. |
4 × 3 |
D. |
4 × 4 |
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Hint |
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17. |
A quadratic function has two real roots. How many times does the graph cross the x-axis? |
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A. |
1 |
B. |
2 |
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C. |
cannot be determined from given information. |
D. |
0 |
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Hint |
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18. |
Solve x2 + 2x+ 3 = 0 by completing the square. |
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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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19. |
Solve log 5 (5x – 2) > log 5 (2x + 10). |
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A. |
0 < x < 4 |
B. |
x < 4 |
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C. |
x > 4 |
D. |
x > 625 |
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Hint |
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20. |
In baseball, a cycle occurs when someone hits a single, double, triple, and home run in the same game. Assuming that a player bats only four times in a game, how many different ways can someone hit for the cycle? |
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A. |
6 |
B. |
24 |
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C. |
12 |
D. |
256 |
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Hint |
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