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1. |
If you use the substitution method to solve the system of equations 3x - 2y = 4 and x + y = 5, which of the following would be the best method?
Method I: Solve the second equation for x, and substitute 5 - y for x into the first equation.
Method II: Solve the second equation for y, and substitute 5 - x for y into the first equation.
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A. |
Method II |
B. |
Both Method I and Method II are correct. |
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C. |
Neither Method I nor Method II is correct. |
D. |
Method I |
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Hint |
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2. |
If A = , find -2A. |
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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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3. |
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. |
1 |
B. |
3 |
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C. |
0 |
D. |
2 |
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Hint |
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4. |
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 51.3 square units |
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C. |
about 48.7 square units |
D. |
about 24.3 square units |
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Hint |
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5. |
State the amplitude and period for the function y = -3 sin 3 . |
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A. |
3;  |
B. |
-3;  |
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C. |
-3;  |
D. |
3;  |
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Hint |
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6. |
Write the standard form of the equation of a line for which the length of the normal segment to the origin is 10 and the normal makes an angle of with the positive x-axis. |
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A. |
x + y + 20 = 0 |
B. |
x - y - 20 = 0 |
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C. |
x + y - 20 = 0 |
D. |
x - y + 20 = 0 |
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Hint |
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7. |
Find . Express the result in rectangular form. |
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A. |
1024i |
B. |
-1024 |
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C. |
1024 |
D. |
-1024i |
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Hint |
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8. |
Write the equation of the hyperbola whose eccentricity is and whose foci are at (6, 0) and (-6, 0). |
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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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9. |
Write the equation of the parabola whose vertex is at (-6, 2) and whose focus is at (4, 2). |
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A. |
(x - 2)2 = -40(y + 6) |
B. |
(x - 2)2 = 40(y + 6) |
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C. |
(y - 2)2 = 40(x - 4) |
D. |
(y - 2)2 = 40(x + 6) |
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Hint |
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10. |
Find the sum of the first six terms of the geometric series . |
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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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11. |
Sharon tossed three coins. What is the probability that she tossed exactly two tails, given that she tossed at least 1 tail? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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Hint |
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12. |
Consider the graph of the function y = f(x) shown below. Which statement is true? |
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A. |
because when x = 3, f(x) = -2, and as x approaches 3, f(x) approaches -2. |
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B. |
none of these are correct |
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C. |
At x = 3, f(x) = -2 |
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D. |
As x approaches 3, f(x) approaches -2. Therefore, . |
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Hint |
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13. |
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 5; y-intercept -2 |
D. |
x-intercept 2; y-intercept 5 |
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Hint |
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14. |
Given the function f(x) = x2 - 8x + 16, find the inverse. |
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A. |
f -1 = x - 2 |
B. |
f -1 = x - 4 |
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C. |
f -1 = (x - 4)2 |
D. |
f -1 = 4  |
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Hint |
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15. |
Describe the end behavior of the function: f(x) = x4 - x3 + x2 + x - 1 |
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A. |
f(x) as x , f(x) as x  |
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B. |
f(x) as x , f(x) as x  |
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C. |
f(x) as x , f(x) as x  |
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D. |
f(x) as x , f(x) as x  |
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Hint |
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16. |
If sin = , find cos 2 . |
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A. |
 |
B. |
- |
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C. |
- |
D. |
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Hint |
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17. |
Find the rectangular coordinates of the point R . |
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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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18. |
Find the distance between points (5, 4) and (-2, -3). Round to the nearest tenth. |
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A. |
14 |
B. |
9.9 |
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C. |
7.1 |
D. |
3.2 |
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Hint |
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19. |
Find the interquartile range of the set of data below. 20, 15, 23, 14, 18, 12, 25, 10, 24, 12, 17 |
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A. |
15 |
B. |
11 |
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C. |
9 |
D. |
5 |
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Hint |
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20. |
Using limits, evaluate . |
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A. |
147 |
B. |
21 |
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C. |
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D. |
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Hint |
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