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1. |
If A =  , find -2A. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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2. |
The graph of y = -x2 + 1 is symmetric about __________. |
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A. |
both the x-axis and
the y-axis |
B. |
the x-axis |
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C. |
neither the x-axis nor
the y-axis |
D. |
the y-axis |
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Hint |
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3. |
Use the unit circle to find the value of cos 120°. |
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A. |
-2 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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4. |
In  given a = 22, b = 39 and c = 19, find B. |
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A. |
about 36.0° |
B. |
about 144.0° |
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C. |
about 54.0° |
D. |
about 126.0° |
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Hint |
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5. |
Find Cos-1  . |
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A. |
 |
B. |
0 |
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C. |
-1 |
D. |
1 |
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Hint |
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6. |
Complete the identity  = ________. |
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A. |
cos x |
B. |
cot x |
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C. |
sin x |
D. |
tan x |
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Hint |
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7. |
Complete the identity  ______________. |
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A. |
sin A |
B. |
-sin A |
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C. |
-cos A |
D. |
cos A |
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Hint |
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8. |
Write  as a sum of unit vectors for A(3, -1) and B(8, 6). |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
A football player kicks a football with an initial velocity of 25 yards per second at an angle of 77° to the horizontal. What is the hang time, the elapsed time between the moment the ball is kicked and the time it hits the ground? |
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A. |
about 4.4 seconds |
B. |
about 4.2 seconds |
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C. |
about 4.6 seconds |
D. |
about 4.8 seconds |
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Hint |
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10. |
Find the initial horizontal velocity of a javelin thrown at 70 feet per second at an angle of 55° with the horizontal. |
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A. |
about 40 ft/s |
B. |
about 50 ft/s |
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C. |
about 30 ft/s |
D. |
about 20 ft/s |
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Hint |
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11. |
Evaluate  . |
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A. |
1024 |
B. |
512 |
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C. |
2048 |
D. |
256 |
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Hint |
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12. |
The y-intercept for the exponential function y = bx is _____. |
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A. |
(0, 2) |
B. |
(0, 1) |
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C. |
(0, -1) |
D. |
(0, 0) |
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Hint |
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13. |
Given f(x) = x-5 and g(x) = x2+ 3,find (f · g)(x). |
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A. |
x2 –2x-15 |
B. |
x3 –5x2 +3x -15 |
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C. |
x3 +5x2 +3x-15 |
D. |
4x3 –2x |
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Hint |
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14. |
Write an equation in slope-intercept form with a slope of  that passes through the point (-3, -5). |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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15. |
Determine the intervals on which the function f(x) =  is increasing and the intervals on which the function is decreasing. |
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A. |
increasing for x < -1 and decreasing for x > -1 |
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B. |
decreasing for x < -1 and increasing for x > -1 |
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C. |
increasing for x < -1 and x > -1 |
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D. |
increasing for all x |
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Hint |
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16. |
Find the quotient  Express the answer in rectangular form, approximating a and b to the nearest hundredth. |
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A. |
2.14 + 2.64i |
B. |
0.19 - 0.23i |
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C. |
-2.40 - 2.40i |
D. |
2.14 - 2.64i |
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Hint |
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17. |
Write the equation of a parabola in standard form if the general form of the equation is 6x2 + 12x - y + 8 = 0 |
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A. |
(x - 1) 2 = 6(y - 2) |
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B. |
(x - 1) 2 =  (y + 2) |
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C. |
(x + 1) 2 = (y - 2) |
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D. |
(x + 1) 2 = 6(y - 2) |
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Hint |
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18. |
Solve 23x = 5x + 2 by using natural logarithms. |
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A. |
3.4243 |
B. |
0.8356 |
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C. |
6.8486 |
D. |
0.0872 |
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Hint |
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19. |
If you put $2500 in a savings account with a 7% annual yield, how much money will be in the account after 5 years if you leave it untouched? |
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A. |
$13,375 |
B. |
$3,506.38 |
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C. |
$2,675 |
D. |
$35,496.43 |
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Hint |
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20. |
In Mrs. Lerman's classroom, 75% of the students wear watches, 30% wear eyeglasses, and 20% wear both watches and eyeglasses. A student is called to the board to explain a concept. If the student wears a watch, what is the probability that the student also wears eyeglasses? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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