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1. |
Solve the system of equations y = 0.5x and 4y = x - 2 by graphing. |
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2. |
Three planes can |
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A. |
All of the choices are true. |
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intersect in a line. |
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C. |
have no points in common. |
D. |
intersect at one point. |
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3. |
Determine whether the function f(x) =  is continuous at x = 1. |
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A. |
Yes, it is continuous at x = 1, but not at x = -1. |
B. |
No, because substituting
x = 1 results in a denominator of 0. |
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C. |
None is correct. |
D. |
Yes, the inability to divide by 0 has no bearing on this problem. |
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Hint |
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4. |
The roots of the equation x2 - 8x - 20 = 0 are ____. |
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A. |
-2 and 10 |
B. |
-2 and -10 |
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C. |
2 and -10 |
D. |
2 and 10 |
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5. |
In  given a = 22, b = 39 and c = 19, find B. |
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A. |
about 144.0° |
B. |
about 36.0° |
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C. |
about 126.0° |
D. |
about 54.0° |
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6. |
Find the sum of  and  . |
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7. |
Find the parametric equations for a line parallel to  and passing through the point at (-3, -5). |
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A. |
x = -4 - 3t and y = -2 - 5t |
B. |
x = 4 - 3t and y = -2 + 5t |
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C. |
x = -3 + 4t and y = -5 - 2t |
D. |
x = -4 + 3t and y = 2 + 5t |
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Hint |
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8. |
Write a matrix that will translate a triangular prism using the vector  . |
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9. |
If a rectangular prism represented by the vertex matrix below is translated using the vector , find the vertex matrix for the translated image. |
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10. |
Which of the following is a dilation matrix? |
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11. |
Complete the identity tan ( - A) = ________. |
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A. |
-cot A |
B. |
tan A |
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C. |
-tan A |
D. |
cot A |
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12. |
Which of the following matrices represents a dilation by a scale factor of 2? |
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B. |
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13. |
Which equation could represent a lemniscate? |
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r = 4 cos 4 |
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B. |
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C. |
r = 4 sin 2 |
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14. |
Write an equation of an ellipse centered at the origin, with a = 4, b = 3 and the major axis on the y-axis. |
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15. |
Find the coordinates of the center of the hyperbola with an equation of  |
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(6, -2) |
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B. |
(-2, 6) |
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C. |
(2 -6) |
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D. |
(-6, 2) |
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Hint |
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16. |
Write the equation y2 - 4y - 2x - 1 = 0 in standard form. |
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A. |
(y + 2) 2 = 2(x + 2.5) |
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B. |
(y - 2) 2 = 2(x - 2.5) |
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C. |
(y + 2) 2 = 2x - 5 |
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D. |
(y - 2) 2 = 2x + 5 |
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Hint |
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17. |
Find the equation of the graph  after it is rotated 60° about the origin. |
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A. |
15(x')2 + 10 x'y' + 31(y')2 = 36 |
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B. |
15(x')2 - 10x'y' + 31(y')2 = 144 |
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C. |
21(x')2 + 10x'y' + 31(y')2 = 144 |
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D. |
21(x')2 + 10x'y' - 31(y')2 = 36 |
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18. |
Determine the amount of money in a money market account providing an annual rate of 6.5% compounded daily if the invested amount of $3,500 is left in the account for 5 years. |
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A. |
$4,843.97 |
B. |
$1,343.97 |
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C. |
$3,943.84 |
D. |
$3,735.03 |
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19. |
Find the value of log9219 using the change of base formula. |
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1.3862 |
B. |
2.4527 |
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C. |
0.2601 |
D. |
3.1021 |
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Hint |
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20. |
During a particular hurricane in the Caribbean, a meteorologist determined that the odds of it hitting Jamaica are 2 to 3. What is the probability of this happening? |
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Hint |
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