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1. |
Write the standard form of the equation of the line that passes through the point (-4, -2) and is perpendicular to the graph of 3x - 2y + 9 = 0. |
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A. |
3x - 2y + 14 = 0 |
B. |
3x - 2y - 14 = 0 |
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C. |
2x + 3y + 14 = 0 |
D. |
2x> + 3y - 14 = 0 |
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Hint |
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2. |
Suppose the triangle ABC with vertices A(1, 2), B(4, 3) and C(-1, 5) is translated 2 units right and 3 units down. Use the translation matrix to find the vertices for A'B'C', the translated image of the triangle. |
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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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3. |
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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4. |
The graph |y| = 4 - |2x| is symmetric with respect to __________. |
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A. |
both the x-axis and
the y-axis |
B. |
neither the x-axis nor
the y-axis |
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C. |
the y-axis |
D. |
the x-axis |
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Hint |
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5. |
Write an equation of a cosine function with amplitude 3, period  , phase shift  , and vertical shift 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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6. |
Graph  |
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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. |
Simplify (2 – 7i)(4 + 2i). |
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A. |
6 – 24i |
B. |
22 – 6i |
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C. |
6 – 6i |
D. |
22 – 24i |
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Hint |
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8. |
Use polar form to find the product (4 + 4i)(-2 + 2i). Express the result in rectangular form. |
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A. |
16 |
B. |
16i |
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C. |
-16i |
D. |
-16 |
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Hint |
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9. |
The vertices of a rectangle are at (0, -2), (2, 0), (-1, 3), and (-3, 1). Find the area of the rectangle. |
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A. |
 units2 |
B. |
144 units2 |
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C. |
12 units2 |
D. |
 units2 |
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Hint |
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10. |
The equation of a circle is 3x2 + 3y2 – 6x + 12y – 24 = 0. Write the standard form of the equation. |
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A. |
(x – 1)2 + (y + 2)2 = 13 |
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B. |
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C. |
(x – 1)2 + (y – 2)2 = 13 |
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D. |
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Hint |
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11. |
For the equation  , find the coordinates of the center of the ellipse. |
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A. |
(3, 9) |
B. |
(-3, 2) |
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C. |
(9, 3) |
D. |
(2, -3) |
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Hint |
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12. |
Graph y < 3x + 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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13. |
Which equation has an undefined slope? |
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A. |
y = 4x + 2 |
B. |
y = 4 |
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C. |
x = 4 |
D. |
y = 4x |
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Hint |
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14. |
A bank charges a $10 fee if the account balance is less than $200. If the balance is in between $200 and $500 there is a $5 fee. If at least $500 is in the account, there is no fee. What type of function best represents this situation? |
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A. |
absolute value function |
B. |
piecewise function |
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C. |
step function |
D. |
greatest integer function |
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Hint |
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15. |
Set up a matrix equation for this chemistry problem. How many liters of 0.25 solution and 0.40 solution should be combined to make 10 liters of 0.35 solution? |
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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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16. |
Find the maximum value of f(x, y) = 2x + y - 4 for the system of inequalities:
y  -3x + 1
y  x - 4
x  0
y 0 |
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A. |
infeasible |
B. |
2 |
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C. |
unbounded |
D. |
alternate optimal solutions |
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Hint |
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17. |
Find the quotient  . Express the result in rectangular form. |
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A. |
1.07 + 6.92i |
B. |
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C. |
-6.96 - 0.76i |
D. |
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Hint |
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18. |
Write the equation  in exponential 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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19. |
The number of bacteria in a culture can be modeled by the exponential function N = 6.5828(1.1769)t, where t is the number of hours. What will the number of bacteria be in 19 hours? Round to nearest whole number. |
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A. |
121 |
B. |
177 |
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C. |
203 |
D. |
145 |
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Hint |
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20. |
How many 8-digit numbers can have the digits 4, 5, 9, 4, 8, 8, 9, and 2? |
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A. |
10,080 |
B. |
5,040 |
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C. |
8,610 |
D. |
40,320 |
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Hint |
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