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1. |
Write the standard form of the equation of the line that passes through the point (-1, 3) and is parallel to the graph of 2x - 7y + 1 = 0. |
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A. |
2x - 7y + 23 = 0 |
B. |
2x + 7y + 23 = 0 |
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C. |
2x - 7y - 23 = 0 |
D. |
2x + 7y - 23 = 0 |
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Hint |
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2. |
Describe how the graphs of f(x) = |2x| and g(x) = -|2x| are related. |
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A. |
The graph of g(x) is a reflection of the graph of f(x) over the x- and y-axes. |
B. |
The graph of g(x) is a reflection of the graph of f(x) over the y-axis. |
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C. |
None are true. |
D. |
The graph of g(x) is a reflection of the graph of f(x) over the x-axis. |
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Hint |
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3. |
Solve |x - 1| - 8 < 3. |
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A. |
{x | -4 < x < 3} |
B. |
{x | -8 < x < 10} |
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C. |
{x | 5 < x < 10} |
D. |
{x | -10 < x < 12} |
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Hint |
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4. |
Write a polynomial equation of least degree with roots -1, 2i, and -2i. |
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A. |
3x + x2 + 4x - 4 = 0 |
B. |
x3 + x2 + 4x + 4 = 0 |
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C. |
x3 + x2 - 4x + 4 = 0 |
D. |
x3 - x2 + 4x + 4 = 0 |
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Hint |
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5. |
Solve the equation  = y. |
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A. |
None is correct. |
B. |
-3 |
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C. |
3 |
D. |
3, 9 |
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Hint |
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6. |
Use the unit circle to find sec (-180°). |
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A. |
0 |
B. |
undefined |
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C. |
1 |
D. |
-1 |
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Hint |
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7. |
Write an equation for a secant function with period 2 , phase shift  , and vertical shift 1. |
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A. |
y = sec  - 1 |
B. |
y = sec  - 1 |
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C. |
y = sec + 1 |
D. |
y = sec + 1 |
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Hint |
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8. |
Simplify cos x + cos x tan2 x. |
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A. |
sec x |
B. |
tan x |
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C. |
csc x |
D. |
1 + tan x |
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Hint |
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9. |
Consider the equation -x + 2y - 5 = 0. Find the length of the normal and the angle it makes with the positive x-axis. |
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A. |
 ; 297° |
B. |
; 243° |
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C. |
; 117° |
D. |
; 63° |
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Hint |
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10. |
The magnitude of  is 41.3 meters and the magnitude of  is 53.6 meters. If and are perpendicular, what is the magnitude of their sum? |
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A. |
about 54.0 meters |
B. |
about 41.9 meters |
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C. |
about 34.2 meters |
D. |
about 67.7 meters |
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Hint |
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11. |
Graph R(-3, -145°). |
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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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12. |
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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13. |
If you use Pascal's triangle to expand the binomial (x + y)4, which row of coefficients do you use? |
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A. |
1 5 10 5 1 |
B. |
1 2 3 2 1 |
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C. |
1 3 6 3 1 |
D. |
1 4 6 4 1 |
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Hint |
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14. |
Which of the following describes the system of equations x - 3y + 2 = 0 and
2x - 6y + 4 = 0? |
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A. |
none of these |
B. |
Consistent and independent |
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C. |
Inconsistent |
D. |
Consistent and dependent |
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Hint |
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15. |
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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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. |
Which of the following matrices represents a dilation by a scale factor of 2? |
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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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17. |
Find the equation of the graph  after it is rotated 60° about the origin. |
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A. |
21(x')2 + 10 x'y' - 31(y')2 = 36 |
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B. |
21(x')2 + 10x'y' + 31(y')2 = 144 |
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C. |
15(x')2 + 10x'y' + 31(y')2 = 36 |
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D. |
15(x')2 - 10x'y' + 31(y')2 = 144 |
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Hint |
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18. |
Write the general term of the series  |
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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. |
If you roll a number cube and then flip a coin, how many outcomes are possible. |
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A. |
36 |
B. |
8 |
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C. |
12 |
D. |
6 |
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Hint |
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20. |
The probability of winning a chess match over a certain opponent is  . What are the odds of losing the chess match? |
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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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