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1. |
Which of the following is a graph of the inequalities
l + g > 100 and l > 70? |
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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. |
Suppose a lumber mill can turn out up to 900 units of product each week. The mill must produce at least 100 units of lumber and 400 units of plywood. Write the constraints as a system of inequalities where x = the number of units of lumber and y = the number of units of plywood. |
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A. |
x  100, y  400, and
x + y 900 |
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B. |
x 100, y 400, and
x + y 900 |
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C. |
x 100, y 400, and
x + y 900 |
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D. |
x 100, y 400, and
x + y 900 |
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Hint |
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3. |
Graph y = 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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4. |
Determine the interval(s) on which the function f(x) = 2|x + 1| + 3 is increasing and the interval(s) on which the function is decreasing. |
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A. |
The function is increasing for x > 2, and the function is
decreasing for x < 2. |
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B. |
The function is increasing for x > -1, and the function is
decreasing for x < -1. |
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C. |
The function is increasing for x > 3, and the function is
decreasing for x < 3. |
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D. |
The function is decreasing for x > 0, and the function is
increasing for x < 0. |
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Hint |
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5. |
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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6. |
If A = 39° and b = 7.2, find c. |
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A. |
about 5.6 units |
B. |
about 11.4 units |
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C. |
about 8.9 units |
D. |
about 9.3 units |
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Hint |
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7. |
Change  radians to degree measure. |
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A. |
145° |
B. |
135° |
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C. |
-145° |
D. |
-135° |
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Hint |
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8. |
Which is not a property of the graph of y = tan x? |
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A. |
The period is 2 . |
B. |
The x-intercepts are located at n, where n is an integer. |
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C. |
The y-intercept is 0. |
D. |
The range is the set of real numbers. |
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Hint |
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9. |
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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10. |
The graph of  is a ______. |
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A. |
cardioid |
B. |
rose |
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C. |
circle |
D. |
spiral of Archimedes |
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Hint |
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11. |
Identify the conic section with equation 8y2 + 2x - 8y - 10 = 0. |
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A. |
hyperbola |
B. |
ellipse |
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C. |
parabola |
D. |
circle |
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Hint |
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12. |
What interest rate is required for an investment with continuously compounded interest to double in 9 years? |
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A. |
8.66% |
B. |
7.70% |
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C. |
3.34% |
D. |
3.76% |
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Hint |
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13. |
State the vertical shift and the equation of the midline for
the function y = 3 cos  + 4. |
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A. |
-4; y = -4 |
B. |
3; y = 3 |
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C. |
-3; y = -3 |
D. |
4; y = 4 |
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Hint |
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14. |
Find the 29th term in the arithmetic sequence -9, -4, 1, 6, ... . |
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A. |
126 |
B. |
121 |
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C. |
136 |
D. |
131 |
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Hint |
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15. |
Find the sum of the series  . |
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A. |
9 |
B. |
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C. |
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D. |
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Hint |
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16. |
0!=_____? |
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A. |
1 |
B. |
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C. |
0 |
D. |
undefined |
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Hint |
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17. |
Find the mean of the set of data
{67, 90, 83, 85, 73, 80, 78, 79, 68, 71}. |
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A. |
75.2 |
B. |
77.4 |
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C. |
82.2 |
D. |
76.9 |
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Hint |
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18. |
Evaluate the indefinite integral  . |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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19. |
Complete the graph so it is symmetric about the origin. |
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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. |
Find the principal fourth root of 256i. Leave the result in polar form. |
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A. |
 |
B. |
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C. |
4 |
D. |
4 (cos 0 + i sin 0) |
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Hint |
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