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1. |
Find  (x) if f(x) = 3x2 + 1 and g(x) = 2x + 3. |
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A. |
6x2 - 5 |
B. |
6x2 + 5 |
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C. |
12x2 + 36x + 28 |
D. |
12x2 - 36x + 28 |
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Hint |
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2. |
If you use the substitution method to solve the system of equations
3x - 2y = 4 and x + y = 5, which of the following would be the best method?
Method I: Solve the second equation for x, and substitute 5 - y for x into the first equation.
Method II: Solve the second equation for y, and substitute 5 - x for y into the first equation.
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A. |
Method I |
B. |
Method II |
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C. |
Both Method I and Method II are correct. |
D. |
Neither Method I nor Method II is correct. |
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Hint |
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3. |
Find the image of  after Rot90 · Ry-axis if the vertices are
A(2, -3), B(6, -3), and C(2, 5). |
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A. |
A'(3, 2), B'(3, 6), C'(5, -2) |
B. |
A'(-3, -2), B'(-3, -6),
C'(-5, -2) |
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C. |
A'(-3, 2), B'(-3, 6),
C'(5, 2) |
D. |
A'(3, -2), B'(3, -6),
C'(-5, -2) |
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Hint |
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4. |
Solve |x + 4| > 2. |
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A. |
x < -6 or x > -2 |
B. |
x > -6 or x < -2 |
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C. |
x < -6 |
D. |
-6 < x < -2 |
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Hint |
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5. |
Determine the zeros of the function y = x3 + 2x2 - 5x - 6. |
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A. |
-3, -1, 4 |
B. |
-1, 2, 3 |
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C. |
-3, 2, 0 |
D. |
-3, -1, 2 |
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Hint |
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6. |
In the equation x3 + x2 + 4x + 4 = 0, how many times does the graph of the related function cross the x-axis? |
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A. |
3 |
B. |
1 |
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C. |
0 |
D. |
2 |
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Hint |
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7. |
Determine the number of possible solutions for , given
A = 40°, a = 7, and b = 9. |
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A. |
three |
B. |
two |
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C. |
none |
D. |
one |
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Hint |
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8. |
Use the sum or difference identity for sine to find the exact value
of sin 375°. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
A ship leaving port sails for 100 miles in a direction 40° north of due east. Find the magnitude of the vertical and horizontal components. |
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A. |
about 87 miles; about 50 miles |
B. |
about 64 miles; about 77 miles |
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C. |
about 77 miles; about 84 miles |
D. |
about 50 miles; about 87 miles |
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Hint |
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10. |
Find an ordered triple that represents  if  and  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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11. |
Find the magnitude of the resultant vector for the diagram. |
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A. |
237.2 N |
B. |
250 N |
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C. |
230.4 N |
D. |
88 N |
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Hint |
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12. |
Find the coordinates of the midpoint of the segment that has endpoints at (-4, 7) and (2, -11). |
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A. |
(-1, -2) |
B. |
(-2, -4) |
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C. |
(-4, -2) |
D. |
(-2, -1) |
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Hint |
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13. |
Identify the conic section with equation 8y2 + 2x - 8y - 10 = 0. |
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A. |
ellipse |
B. |
hyperbola |
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C. |
parabola |
D. |
circle |
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Hint |
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14. |
Describe the end behavior of the function:
f(x) = x4 - x3 + x2 + x - 1 |
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A. |
f(x)  as x  , f(x) as x |
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B. |
f(x) as x , f(x) as x |
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C. |
f(x) as x , f(x) as x |
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D. |
f(x) as x , f(x) as x |
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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 x > -1 |
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B. |
increasing for x < -1 and decreasing for x > -1 |
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C. |
increasing for all x |
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D. |
decreasing for x < -1 and increasing for x > -1 |
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Hint |
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16. |
The function f(x) = - (x + 2)3 - 3 has a critical point at x = -2. Determine whether this is the location of a maximum, minimum or a point of inflection. |
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A. |
point of inflection |
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B. |
maximum |
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C. |
extremum |
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D. |
minimum |
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Hint |
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17. |
If y varies inversely as the cube of x and y = 8 when x = 2, find
x when y = 1. |
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A. |
x = 4 |
B. |
x = 1 |
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C. |
x = 8 |
D. |
x = 2 |
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Hint |
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18. |
A vector  that is represented by an ordered pair can ________ be written as the sum of unit vectors. |
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A. |
never |
B. |
sometimes |
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C. |
always |
D. |
usually |
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Hint |
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19. |
Karla is in a contest to see who can hit a baseball the farthest. If she hits a ball with an initial velocity of 94.5 ft/s at an angle of 42° with the horizontal, how far will the ball travel before it hits the ground? |
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A. |
250 ft |
B. |
277 ft |
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C. |
395 ft |
D. |
139 ft |
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Hint |
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20. |
Solve the system of equations algebraically, 4x + 4y = 4 and
x2 = y+ 5. |
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A. |
(3, -4), (-2, 1) |
B. |
(-3, 4), (2, -1) |
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C. |
(-3, -1), (2, 4) |
D. |
no solution |
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Hint |
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