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1. |
The domain of a relation is all positive integers less than 4. The range of y or the relation is 2 plus x, where x is a number of the domain. Write the relation as a table of values and as an equation. |
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A. |
None of these. |
B. |
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C. |
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D. |
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Hint |
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2. |
Solve the system of equations x = 4 and 3x - 4y = 12 by graphing. |
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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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3. |
What are the vertices of the triangle formed? |
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A. |
(100, 400), (400, 500), and (100, 800) |
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B. |
(100, 400), (500, 400), and (800, 100) |
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C. |
(100, 400), (500, 400), and (100, 800) |
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D. |
(100, 400), (400, 500), and (800, 100) |
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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. |
x3 + x2 + 4x + 4 = 0 |
B. |
x3 - x2 + 4x + 4 = 0 |
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C. |
3x + x2 + 4x - 4 = 0 |
D. |
x3 + x2 - 4x + 4 = 0 |
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Hint |
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5. |
Use the Remainder Theorem to find the remainder for the division of
(x4 - 3x2 + 2x - 1) ÷ (x - 1). The remainder is ____. |
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A. |
0 |
B. |
1 |
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C. |
-1 |
D. |
2 |
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Hint |
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6. |
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' 50" |
D. |
10° 36' 30" |
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Hint |
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7. |
Find the area of  if a = 5.2, c = 13.6, and B = 46° 30'. |
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A. |
about 25.6 square units |
B. |
about 48.7 square units |
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C. |
about 51.3 square units |
D. |
about 24.3 square units |
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Hint |
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8. |
State the amplitude for the function y = - cos . |
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A. |
- |
B. |
1 |
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C. |
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D. |
- |
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Hint |
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9. |
If sin  =  and has its terminal side in the first quadrant, find the exact value of sin 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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10. |
Find the rectangular coordinates of the point  |
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A. |
(0, 4) |
B. |
(4, 4) |
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C. |
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D. |
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Hint |
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11. |
Write the equation x2 + 2y2 + 2x + 4y - 1 = 0 in standard form. |
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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. |
If the k term of Sk is 4 + 2k, find the (k + 1) term. |
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A. |
6 + 2k |
B. |
k + 1 |
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C. |
8 + 2k |
D. |
2k |
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Hint |
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13. |
The probability of being accepted to attend City College is  . What are the odds against being accepted? |
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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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14. |
Find the x- and y-intercepts of the equation:  |
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A. |
x-intercept –2; y intercept 5 |
B. |
x-intercept –5; y-intercept 2 |
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C. |
x-intercept 2; y-intercept 5 |
D. |
x-intercept 5; y-intercept -2 |
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Hint |
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15. |
Determine the type of discontinuity this function exhibits.
 |
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A. |
infinite discontinuity |
B. |
point discontinuity |
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C. |
none of these |
D. |
jump discontinuity |
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Hint |
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16. |
In a general equation of a conic, A = 3, B = 0, C = 2, D = 6, E = 8 and F = 5. Write the equation in standard form. |
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A. |
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B. |
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C. |
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D. |
3(x - 1)2 + 2( y - 2)2 = 6 |
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Hint |
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17. |
Write an equation in general form of  for T(2,-3). |
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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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18. |
Use the first three terms of the trigonometric series and a calculator to approximate the value of  to four decimal places. |
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A. |
0.8663 |
B. |
0.866 |
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C. |
1.2491 |
D. |
0.8453 |
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Hint |
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19. |
If  , which statement verifies that Sn is valid for n = k + 1? |
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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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20. |
Claire has 4 comedy, 6 drama, 3 horror, and 5 action DVDs. She randomly picks 2 to take with her to a friend's sleepover. Find the probability that she picks 1 drama and 1 action DVD. |
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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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