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1. |
The temperature f(x) of water in a lake in degrees Fahrenheit is estimated by the function shown below, where x is the depth in feet of the water. What would be the temperature of water 30 feet below the surface? |
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A. |
33°F |
B. |
63°F |
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C. |
71.25°F |
D. |
111°F |
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Hint |
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2. |
The system of equations on the graph shown is |
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A. |
consistent and dependent. |
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B. |
inconsistent. |
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C. |
consistent. |
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D. |
consistent and independent. |
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Hint |
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3. |
What is true about the system  and  |
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A. |
The system is inconsistent. |
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B. |
The system has infinitely many solutions. |
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C. |
The system is consistent and dependent. |
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D. |
The system is consistent and independent. |
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Hint |
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4. |
What is the value of the determinant? |
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A. |
-12 |
B. |
-3 |
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C. |
12 |
D. |
-8 |
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Hint |
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5. |
Use Cramer's rule to find the value of n in the system of equations. 
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A. |
 |
B. |
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C. |
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D. |
-22 |
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Hint |
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6. |
Determine which matrix is the 3 × 3 identity matrix. |
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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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7. |
Simplify (18q3r)(2qr4). |
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A. |
36qr |
B. |
36q4r5 |
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C. |
36q3r5 |
D. |
36q3r4 |
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Hint |
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8. |
Simplify  |
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A. |
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B. |
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C. |
5t3u3v4 |
D. |
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Hint |
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9. |
Solve 3y2 + 48 = 0. |
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A. |
-4 |
B. |
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C. |
4 |
D. |
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Hint |
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10. |
Find the coordinates of the center of an ellipse with equation
9x2 + 4y2 - 72x + 16y + 124 = 0. |
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A. |
(4, -2) |
B. |
(4, 2) |
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C. |
(4, 9) |
D. |
(2, 3) |
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Hint |
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11. |
Solve the system of equations.
y = 2x + 3
y2 - x2 = 24 |
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A. |
(-5, -7), (1, 5) |
B. |
(0, 3) |
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C. |
(5, 7) |
D. |
(-5, -7), (1, -5) |
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Hint |
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12. |
Solve x2 - 6x + 10 = 0 by completing the square. |
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A. |
2, 4 |
B. |
1 ± i |
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C. |
3 ± i |
D. |
-3 ± i |
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Hint |
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13. |
What is the polynomial function of least degree with integral coefficients that has zeros 2 and 3i? |
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A. |
y = x3 - 2x2 - 9x + 18 |
B. |
y = x3 - 2x2 + 9x - 18 |
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C. |
y = x2 + x - 6 |
D. |
y = x2 - 5x - 6 |
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Hint |
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14. |
Find  if g(x) = x - 5 and h(x) = |x|. |
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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. |
Find A – B if  and  |
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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. |
Find the minimum value of  . |
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A. |
7 |
B. |
11 |
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C. |
(2, 7) |
D. |
2 |
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Hint |
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17. |
Which of the following is an inverse of f(x) = 3x - 4? |
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A. |
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B. |
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C. |
3x + 4 |
D. |
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Hint |
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18. |
Which of the following points will not be included in the graph of  ? |
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A. |
(3, 9) |
B. |
(4, 6) |
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C. |
(2, 4) |
D. |
(-2, 4) |
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Hint |
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19. |
Which of the following points will not be included in the graph of ? |
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A. |
(1, 5) |
B. |
(3, 2) |
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C. |
(6, 6) |
D. |
(5, 8) |
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Hint |
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20. |
Which graph represents the ellipse  ? |
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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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