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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. |
12x2 + 36x + 28 |
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C. |
6x2 - 5 |
D. |
12x2 - 36x + 28 |
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Hint |
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2. |
Which is a graph of f(x) = |3x| - 1? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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3. |
Three planes can |
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A. |
intersect at one point. |
B. |
have no points in common. |
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C. |
All of the choices are true. |
D. |
intersect in a line. |
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Hint |
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4. |
 |
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A. |
The product doesn't exist. |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
Suppose the triangle ABC with vertices A(1, 2), B(4, 3) and C(-1, 5) is translated 2 units right and 3 units down. Use the translation matrix to find the vertices for A'B'C', the translated image of the triangle. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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6. |
Solve |x + 4| > 2. |
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A. |
x < -6 |
B. |
x > -6 or x < -2 |
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C. |
-6 < x < -2 |
D. |
x < -6 or x > -2 |
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Hint |
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7. |
Divide x4 + 2x2 - 1 by x - 1 using synthetic division. The result of synthetic division is ____. |
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A. |
1 1 3 3 | -2 |
B. |
1 3 1 3 | 2 |
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C. |
1 1 3 3 | 2 |
D. |
1 3 1 3 | -2 |
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Hint |
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8. |
Determine the number of complex zeros of the function
f(x) = x5 - 4x2 + 2x - 1. |
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A. |
3 |
B. |
2 |
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C. |
4 |
D. |
5 |
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Hint |
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9. |
Solve  > 0. |
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A. |
-2 < x < 0 or x < 1 |
B. |
-1 < x < 0 or x > 2 |
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C. |
-1 < x < 0 or x > 1 |
D. |
-2 < x < 0 or x > 2 |
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Hint |
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10. |
Use the function of best fit, y = 0.9x + 1.3, to predict y when x = 5. |
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A. |
2.3 |
B. |
5.8 |
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C. |
3.2 |
D. |
6.7 |
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Hint |
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11. |
Find the area of  if d =14.2, D = 33.6°, and E = 15.2°. |
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 |
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A. |
about 71.9 square units |
B. |
about 62.1 square units |
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C. |
about 46.5 square units |
D. |
about 35.9 square units |
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Hint |
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12. |
Determine the number of possible solutions for  , given A = 50°,
a = 38, and c = 49. |
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A. |
none |
B. |
three |
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C. |
two |
D. |
one |
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Hint |
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13. |
Find the area of a sector if the central angle measures  radians and the radius of the circle is 22 centimeters. Round to the nearest tenth. |
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A. |
231.1 cm2 |
B. |
506.8 cm2 |
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C. |
1013.7 cm2 |
D. |
253.4 cm2 |
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Hint |
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14. |
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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15. |
Which identity is not a Pythagorean identity? |
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A. |
1 + cot2  = csc2 |
B. |
 |
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C. |
sin2 + cos2 = 1 |
D. |
tan2 + 1 = sec2 |
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Hint |
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16. |
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. |
 ; 63° |
B. |
; 117° |
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C. |
; 297° |
D. |
; 243° |
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Hint |
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17. |
Complete the identity  ______________. |
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A. |
sin A |
B. |
cos A |
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C. |
-sin A |
D. |
-cos A |
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Hint |
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18. |
Find the distance between P(5, -3) and the line with equation
5x + 12y = 18. |
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A. |
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B. |
13 |
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C. |
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D. |
 |
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Hint |
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19. |
Write the equation of the line perpendicular to 5y + 3x - 10 = 0 and that passes through the point (3,1). |
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A. |
5x - 3y - 4 = 0 |
B. |
5x + 3y - 12 = 0 |
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C. |
3x + 5y - 50 = 0 |
D. |
5x - 3y - 12 = 0 |
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Hint |
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20. |
The maximum cost of Ana's long-distance plan is $5.00 each month plus $0.10 per minute.Name a combination of minutes and cost that fit this inequality. |
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A. |
(10, 6) |
B. |
(10,15) |
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C. |
(15,10) |
D. |
(6,10) |
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Hint |
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