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1. |
Which is the graph of the inequality x + 2y - 2 0? |
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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. |
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A. |
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B. |
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C. |
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D. |
The product doesn't exist. |
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Hint |
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3. |
Find the maximum value of f(x, y) = 2x + y - 2 for the polygonal convex set determined by the system of inequalities. |
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A. |
12 |
B. |
14 |
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C. |
6 |
D. |
18 |
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Hint |
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4. |
If the lumber mill can turn out 900 units of product each week and must produce 100 units of lumber and 400 units of plywood, graph the systems of inequalities. Let x = units of lumber, and y = units of plywood. |
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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. |
Use the function P(x, y) = 40x + 60y to determine how many of each item should be produced in order to maximize profit. |
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A. |
(500, 400) |
B. |
(300, 500) |
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C. |
(100, 800) |
D. |
(100, 400) |
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Hint |
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6. |
Determine the symmetry of f(x) = x7. |
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A. |
symmetric with respect to only the x-axis |
B. |
symmetric with respect to the origin |
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C. |
not symmetric |
D. |
symmetric with respect to only the y-axis |
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Hint |
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7. |
The graph |y| = 4 - |2x| is symmetric with respect to __________. |
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A. |
the x-axis |
B. |
neither the x-axis nor the y-axis |
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C. |
the y-axis |
D. |
both the x-axis and the y-axis |
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Hint |
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8. |
If y varies inversely as x and y = 12 when x = 7, find x when y = 2. |
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A. |
7 |
B. |
5 |
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C. |
10 |
D. |
42 |
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Hint |
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9. |
Approximate the real zero(s) of f(x) = x3 - 2x2 + 5x - 5 to the nearest tenth. |
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A. |
1.2 |
B. |
1.6 |
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C. |
1.4 |
D. |
1.4, 2.1, and 3.2 |
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Hint |
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10. |
Suppose is an angle in standard position whose terminal side lies in Quadrant II. If , find  |
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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 the equation cos x = . |
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A. |
x equals 150°, 210° or any angle coterminal with these angles. |
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B. |
x equals 60°, 300° or any angle coterminal with these angles. |
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C. |
x equals 120°, 240° or any angle coterminal with these angles. |
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D. |
x equals 30°, 330° or any angle coterminal with these angles. |
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Hint |
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12. |
Determine the number of possible solutions for , given a = 7, b = 3, and A = 115°. |
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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. |
State the domain and range of the relation. Then state whether the relation is a function.{(2,-1), (-2,4), (2,5), (3,6)} |
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A. |
Domain {-1,4,5,6}Range {-2,2,3}The relation is a function. |
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B. |
Domain {-1,4,5,6}Range {-2,2,3} The relation is not a function. |
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C. |
Domain {-2,2,3} Range {-1,4,5,6} The relation is a function. |
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D. |
Domain {-2,2,3} Range {-1,4,5,6}The relation is not a function. |
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Hint |
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14. |
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 = 0.07x + 5.99 |
B. |
y = 5.99x + 0.07 |
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C. |
y = x + 5.99 |
D. |
y = x - 5.99 |
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Hint |
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15. |
Determine the equation of the perpendicular bisector of the line segment with endpoints (1,5) and (-6, 3). |
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A. |
2x + 7y - 23 = 0 |
B. |
2x + 7y + 23 = 0 |
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C. |
14x + 4y - 19 = 0 |
D. |
14x + 4y + 19 = 0 |
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Hint |
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16. |
Graph the equation  |
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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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17. |
Use matrices to determine the coordinates of the image of
with vertices A(-3,4), B(-5,2) and C(-6,5) once it is rotated 90°. |
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A. |
A'(-3,-4), B(-5,-2) and C'(-6,-5) |
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B. |
A'(-4,-3), B(-2,-5) and C'(-5,-6) |
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C. |
A'(3,-4), B(5,-2) and C'(6,-5) |
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D. |
A'(3,4), B(5,2) and C'(6,5) |
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Hint |
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18. |
Find the inverse of . |
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A. |
0 |
B. |
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C. |
does not exist |
D. |
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Hint |
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19. |
Find the maximum value of f(x, y) = x - 4y for the system of inequalities. 2x + y 3 2x + y -2 y 4 x < 1 |
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A. |
-17 |
B. |
-3 |
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C. |
16 |
D. |
-16 |
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Hint |
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20. |
Graph the function  |
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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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