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1. |
What is the value of 9 - [12 + (15 ÷ 3)]? |
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A. |
26 |
B. |
-8 |
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C. |
2 |
D. |
0 |
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Hint |
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2. |
The system of equations on the graph shown is |
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A. |
inconsistent. |
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B. |
consistent. |
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C. |
consistent and independent. |
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D. |
consistent and dependent. |
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Hint |
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3. |
Determine which matrix has a determinant. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
[1 -4 -8] |
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Hint |
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4. |
Evaluate  using diagonals. |
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A. |
33 |
B. |
37 |
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C. |
107 |
D. |
21 |
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Hint |
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5. |
Simplify  |
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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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6. |
Find the coordinates of the foci of an ellipse with equation  |
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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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7. |
Find the standard form of the equation 2x2 + 2y2 = 8x -16y - 32. |
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A. |
2x2 + 2y2 - 8x + 16y + 32 = 0 |
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B. |
(x - 2)2 + (y + 4)2 = 4 |
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C. |
2(x - 2)2 +2(y + 4)2 = 4 |
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D. |
x2 + y2 - 4x + 8y + 16y + 16 = 0 |
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Hint |
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8. |
The graph of the equation -x2 + 4y2 - 10x - 8y - 29 = 0 is a(n) _____. |
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A. |
circle |
B. |
hyperbola |
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C. |
ellipse |
D. |
parabola |
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Hint |
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9. |
Solve the system of equations.
y = 2x + 3
y2 - x2 = 24 |
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A. |
(-5, -7), (1, 5) |
B. |
(-5, -7), (1, -5) |
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C. |
(0, 3) |
D. |
(5, 7) |
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Hint |
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10. |
Solve x2 + 3x - 10 = 0 by completing the square. |
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A. |
-5, 2 |
B. |
2 |
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C. |
5 |
D. |
2, 5 |
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Hint |
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11. |
Which equation is in quadratic form? |
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A. |
 |
B. |
x4 - x2 + x - 1 = 0 |
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C. |
3x3 + 3x + 3 = 0 |
D. |
 |
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Hint |
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12. |
At a firm, there are three workers that are supposed to work a combined 110 hours per week. Worker 1 gets paid $10 per hour, worker 2 gets paid $12 per hour, and worker 3 gets paid $14 per hour. If the company wants their total income to be $1268, how many hours should each one work if worker 3 and worker 2 work for the same amount of hours? |
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A. |
worker 1: 40worker 2: 35worker 3: 35 |
B. |
worker 1: 44worker 2: 33worker 3: 33 |
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C. |
worker 1: 54worker 2: 28worker 3: 28 |
D. |
worker 1: 14worker 2: 48worker 3: 48 |
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Hint |
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13. |
Which of the following is an example of a column matrix? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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14. |
Given that   and  use the fact that  to find AB + AC. |
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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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15. |
Evaluate  |
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A. |
–38 |
B. |
38 |
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C. |
128 |
D. |
–128 |
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Hint |
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16. |
Two sides of an angle are contained in lines whose equations are 6x + 4y = 15 and 7x – 9y = 3. Find the coordinates of the vertex of the angle. Round to the nearest hundredth. |
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A. |
(–1.79, 1.06) |
B. |
(1.79, 1.06) |
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C. |
(–147, –87) |
D. |
(147, 87) |
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Hint |
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17. |
Find the minimum value of  . |
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A. |
7 |
B. |
2 |
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C. |
(2, 7) |
D. |
11 |
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Hint |
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18. |
What is the equation of the parabola whose vertex is at (-3, 1) and passes through the point (-2, 4)? |
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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. |
What is the inverse of the relation (3, -1), (2, 5), (-4, -4)? |
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A. |
(-1, 3), (5, 2), (-4, -4) |
B. |
(-1, 3), (5, 2), (4, 4) |
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C. |
(-3, -1), (-2, 5), (4, -4) |
D. |
(1, -3), (-5, -2), (4, 4) |
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Hint |
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20. |
Write the equation  in standard form. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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