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1. |
State the domain and range of the relation. |
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A. |
All real numbers are included in the domain and the range. |
B. |
3 is included in the domain, and all real numbers are included in the range. |
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C. |
All real numbers are included in the domain, and 3 is included in the range. |
D. |
3 is included in the domain, and 3 is included in the range. |
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Hint |
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2. |
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. |
2 |
B. |
1 |
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C. |
3 |
D. |
0 |
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Hint |
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3. |
Solve the equation 2x2 -x + 4 = 0 by any method. |
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A. |
1  i |
B. |
 i |
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C. |
i |
D. |
 i |
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Hint |
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4. |
Find the value of k so that the remainder of (x3 - 3x2 + kx - 6) ÷ (x + 2) is 0. |
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A. |
k = -11 |
B. |
k = 11 |
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C. |
k = -13 |
D. |
k = 6 |
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Hint |
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5. |
Approximate the real zero(s) of f(x) = x3 - 2x2 + 5x - 5 to the nearest tenth. |
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A. |
1.4 |
B. |
1.2 |
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C. |
1.4, 2.1, and 3.2 |
D. |
1.6 |
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Hint |
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6. |
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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7. |
Change north latitude 10.625° to degrees, minutes, and seconds. |
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A. |
10° 37' 30" |
B. |
10° 37' 50" |
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C. |
10° 36' 30" |
D. |
10° 36' 50" |
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Hint |
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8. |
Find the measure of the reference angle of -200°. |
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A. |
160° |
B. |
40° |
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C. |
20° |
D. |
-200° |
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Hint |
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9. |
The angle of elevation of a ladder leaning against a wall is 62°. The ladder is 40 feet long. How far is the base of the ladder from the wall? |
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A. |
about 35.32 ft |
B. |
about 18.78 ft |
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C. |
about 85.20 ft |
D. |
about 75.23 ft |
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Hint |
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10. |
A clothes dryer is rotating at 450 revolutions per minute. Determine its angular velocity in radians per second. Round to the nearest tenth. |
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A. |
282.7 radians/s |
B. |
47.1 radians/s |
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C. |
23.6 radians/s |
D. |
2,827.4 radians/s |
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Hint |
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11. |
Write an equation for a tangent function with period  , phase shift - , and vertical shift 3. |
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A. |
y = tan  + 3 |
B. |
y = tan  + 3 |
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C. |
y = tan  + 3 |
D. |
y = tan  + 3 |
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Hint |
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12. |
Find sin  . |
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A. |
1 |
B. |
-1 |
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C. |
 |
D. |
- |
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Hint |
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13. |
Solve sin2 x - sin x + 1 = cos2 x for 0  x < 2 . |
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A. |
0,  ,  , |
B. |
0, ,  , |
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C. |
0,  , , |
D. |
0, , |
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Hint |
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14. |
Let  . Find  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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15. |
Find the quotient  . Express the result in rectangular form. |
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A. |
4i |
B. |
4 |
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C. |
-4 |
D. |
-4i |
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Hint |
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16. |
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. |
(6,10) |
B. |
(10, 6) |
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C. |
(10,15) |
D. |
(15,10) |
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Hint |
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17. |
The image of  after Rot180 · Ry-axis is the same as which other reflection, if the vertices are A(1,1), B(2,6), C(6,4)? |
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A. |
reflection over the y-axis |
B. |
reflection over the x-axis |
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C. |
none of these |
D. |
reflection over the line y = x |
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Hint |
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18. |
Which is the graph of y > (x - 3)2? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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19. |
Which of the following is a valid trigonometric identity. |
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A. |
Tan2  + cot2 = sec csc |
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B. |
tan + cot = sin cos |
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C. |
tan + cot = sec csc |
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D. |
tan2 + cot2 = sin cos |
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Hint |
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20. |
Evaluate  if  and  . |
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A. |
21 |
B. |
44 |
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C. |
60 |
D. |
-39 |
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Hint |
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