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1. |
Which is the graph of g(x) = |6 - |2x||? |
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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. |
For which line(s) is the graph of symmetric? |
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A. |
y = -1 |
B. |
x = 3 |
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C. |
x = 3 and y = -1 |
D. |
y = 1 |
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Hint |
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3. |
If you use the parent graph f(x) = [[x]], describe how you would graph g(x) = 3[[x]]. |
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A. |
There would be no difference between f(x) = [[x]] and g(x) = 3[[x]]. |
B. |
The vertical distance between the steps for g(x) is 3 units. |
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C. |
The vertical distance between the steps for g(x) is 1/3 unit. |
D. |
None of these is correct. |
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Hint |
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4. |
Divide x4 + 2x2 - 1 by x - 1 using synthetic division. The result of synthetic division is ____. |
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A. |
1 1 3 3 | 2 |
B. |
1 3 1 3 | -2 |
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C. |
1 1 3 3 | -2 |
D. |
1 3 1 3 | 2 |
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Hint |
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5. |
Find the magnitude of the resultant vector for the diagram. |
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A. |
237.2 N |
B. |
230.4 N |
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C. |
250 N |
D. |
88 N |
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Hint |
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6. |
Express in rectangular 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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7. |
Which are the coordinates of the vertices of a parallelogram? |
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A. |
(0, 4), (2, 9), (-1, -3), (4, 6) |
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B. |
(-1, 1), (1, 4), (6, 5), (4, 2) |
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C. |
(-3, 2), (5, 1), (4, 0), (-1, 3) |
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D. |
(1, 1), (-3, 0), (4, 2), (-2, 3) |
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Hint |
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8. |
Which of the following is not true about mathematical induction? |
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A. |
Mathematical induction depends on a recursive process. |
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B. |
It can be used to prove . |
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C. |
Since Sn is valid for n = 1, it is valid for n = 2. Since it is valid for n = 2, it is valid for n = 3, and so on, indefinitely. |
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D. |
The first possible case is always n = 1. |
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Hint |
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9. |
Consider the graph of the function y = f(x) shown below. Which statement is true? |
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A. |
At x = 3, f(x) = -2 |
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B. |
As x approaches 3, f(x) approaches -2. Therefore, . |
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C. |
none of these are correct |
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D. |
because when x = 3, f(x) = -2, and as x approaches 3, f(x) approaches -2. |
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Hint |
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10. |
Acceleration is the rate at which the velocity of a moving object changes. That is, acceleration is the derivative of velocity. If time is measured in seconds and velocity in feet per second, then acceleration is measured in feet per second squared. If a car's velocity is described by the function , what is the car's acceleration at t = 4? |
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A. |
37 ft/s2 |
B. |
18 ft/s2 |
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C. |
32 ft/s2 |
D. |
5 ft/s2 |
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Hint |
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11. |
What is the value of C(8, 4)? |
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A. |
1680 |
B. |
6720 |
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C. |
26 |
D. |
70 |
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Hint |
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12. |
Choose the best method to solve the system of equations x + y = 2 and y = 3x - 4. |
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A. |
Graphing |
B. |
Substitution |
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C. |
Eliminate y |
D. |
Eliminate x |
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Hint |
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13. |
Name the coordinates of the vertices of the polygonal convex set. |
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A. |
(-4,-1), (-4,3), (-2,-4), (4,-2) |
B. |
(-4,-1), (-4,3), (-2,4), (4,2) |
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C. |
(-4,-1), (-4,6), (-2,4), (4,-2) |
D. |
(-4,-1), (-4,3), (-2,4), (4,-2) |
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Hint |
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14. |
Use the parent graph f(x) = to graph the function g(x) = . |
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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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15. |
Write parametric equations for y = 7x - 2. |
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A. |
x = t and y = 7t - 2 |
B. |
x = t and y =  |
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C. |
x = and y = -2 |
D. |
x = 7t and y = -2 |
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Hint |
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16. |
Another name for the complex plane is the _________ plane. |
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A. |
Cartesian |
B. |
rectangular |
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C. |
polar |
D. |
Argand |
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Hint |
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17. |
Write the equation of a parabola in standard form if the general form of the equation is 6x2 + 12x - y + 8 = 0 |
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A. |
(x + 1) 2 = 6(y - 2) |
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B. |
(x - 1) 2 = (y + 2) |
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C. |
(x - 1) 2 = 6(y - 2) |
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D. |
(x + 1) 2 = (y - 2) |
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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. |
0.7074 |
B. |
1.3243 |
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C. |
0.6757 |
D. |
0.7071 |
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Hint |
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19. |
If you put $2500 in a savings account with a 7% annual yield, how much money will be in the account after 5 years if you leave it untouched? |
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A. |
$2,675 |
B. |
$3,506.38 |
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C. |
$35,496.43 |
D. |
$13,375 |
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Hint |
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20. |
Which statement would be most logically proven using mathematical induction. |
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A. |
The series converges. |
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B. |
When two parallel lines are cut by a transversal, opposite interior angles are congruent. |
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C. |
for all integers n |
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D. |
Every polynomial has at least one complex root. |
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Hint |
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