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1. |
Which is the graph of the inequality x > -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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2. |
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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3. |
Which point is one of an infinite number of solutions for the inequality y > (x + 2)2 - 4? |
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A. |
(-1, 5) |
B. |
(3, 4) |
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C. |
(1, 5) |
D. |
(2, 12) |
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Hint |
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4. |
Choose the graph of y < 2 - |x - 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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5. |
Which is the graph of f(x) = |x| - 4 and its inverse? |
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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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6. |
In a polynomial equation, if there is one change in sign of the coefficients of the terms, ____. |
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A. |
none of the above is correct |
B. |
there is one imaginary root |
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C. |
there is exactly one positive real zero |
D. |
there could be one or three positive real zeros |
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Hint |
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7. |
Solve - x + 1 = 0. |
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A. |
1, -2 |
B. |
1, 2 |
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C. |
-1, -2 |
D. |
-1, 2 |
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Hint |
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8. |
Identify all angles that are coterminal with angle 35°. |
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A. |
35° + 90k°, k is an integer |
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B. |
35° + 180k°, k is an integer |
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C. |
35° + 270k°, k is an integer |
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D. |
35° + 360k°, k is an integer |
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Hint |
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9. |
Find the period of the function y = csc - 5. |
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A. |
4 |
B. |
8 |
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C. |
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D. |
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Hint |
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10. |
Determine the exact value of cos , given sin and 0° < < 90° |
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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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11. |
Solve cos x - 1 = 0 for all real values of x. |
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A. |
+2 k, + 2 k |
B. |
+ 2 k, +2 k |
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C. |
+ k |
D. |
+2 k, + 2 k |
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Hint |
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12. |
Suppose the equation models the number of liters of air in the lungs of a gorilla at t seconds. Find the amount of air in the lungs at t = 4.5 seconds. |
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A. |
about 0.17 L |
B. |
about 0.19 L |
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C. |
about 0.15 L |
D. |
about 0.23 L |
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Hint |
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13. |
Write a linear equation to represent the cost y of a long distance calling plan that charges $5.99 plus $0.07 per minute for x number of minutes. |
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A. |
y = x + 5.99 |
B. |
y = 5.99x + 0.07 |
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C. |
y = 0.07x + 5.99 |
D. |
y = x - 5.99 |
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Hint |
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14. |
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. |
(6,10) |
D. |
(15,10) |
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Hint |
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15. |
If you are solving this system of equations by elimination, which of the following is the best choice for the first step? 2x + 3y - z = 4 -x + y + 2z = 3 3x + y + z = 1 |
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A. |
neither method is correct. |
B. |
Method II |
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C. |
Method I |
D. |
both methods are correct |
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Hint |
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16. |
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A. |
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B. |
[4 5 6] |
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C. |
[-1 1 18] |
D. |
impossible |
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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. |
none of these |
B. |
reflection over the line y = x |
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C. |
reflection over the x-axis |
D. |
reflection over the y-axis |
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Hint |
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18. |
If angles x and y are between 0° and 180° such that cos x = - and cos y = , what is the value of sin (x + y)? |
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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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19. |
Complete the identity tan ( - A) = ________. |
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A. |
tan A |
B. |
cot A |
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C. |
-cot A |
D. |
-tan A |
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Hint |
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20. |
Find the distance from the origin to the graph of 2x + y = 15. |
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A. |
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B. |
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C. |
undefined (cannot divide by zero) |
D. |
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Hint |
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