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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. |
2x> + 3y - 14 = 0 |
B. |
3x - 2y - 14 = 0 |
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C. |
2x + 3y + 14 = 0 |
D. |
3x - 2y + 14 = 0 |
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Hint |
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2. |
The cost of producing an item is $5 per item plus an initial cost of $2000. The selling price is $10 per item. Find the break-even point. |
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A. |
4000 items |
B. |
4500 items |
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C. |
400 items |
D. |
450 items |
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Hint |
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3. |
If you solve the following system of equations by substitution, which statement is true?
x = z
x - 2y + z = 6
2x + y - 2z = 1
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A. |
You can substitute x for z into the second and third equations. |
B. |
You can substitute z for x into the second and third equations. |
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C. |
Both methods will work. |
D. |
Neither method will work. |
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Hint |
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4. |
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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. |
Find cos P. |
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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. |
Determine the number of possible solutions for  , given
A = 40°, a = 7, and b = 9. |
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A. |
one |
B. |
three |
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C. |
two |
D. |
none |
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Hint |
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7. |
The point nearest to the origin on a line is at (-4,4). Find the standard form of the equation of the line. |
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A. |
x + y - 8 = 0 |
B. |
x + y + 8 = 0 |
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C. |
x - y + 8 = 0 |
D. |
x + y - 4 = 0 |
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Hint |
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8. |
Find an ordered triple to represent  in the equation  if  ,  , and  . |
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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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9. |
Write the equation 3x - 8y = -4 in polar form. Round  to the nearest degree. |
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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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10. |
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.Graph the fee schedule for different account balances. |
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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. |
Which is the graph of the inequality y > |2x + 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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12. |
Sketch the graph of the function f(x) =  (x + 1)3 + 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 is the graph of y > (x - 3)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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14. |
Graph the equation using the graph of the given parent function.
y = 1  , p(x) = x2 |
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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. |
The point nearest to the origin on a line is (9, 3). Find the standard form of the equation of the line. |
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A. |
x + 3y - 18 = 0 |
B. |
3x - y - 24 = 0 |
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C. |
x - 3y = 0 |
D. |
3x + y - 30 = 0 |
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Hint |
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16. |
Two vectors  and  are perpendicular if ________. |
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A. |
their dot product is equal to their cross product |
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B. |
their inner product is v1w1 +v2w2 |
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C. |
their cross product equals zero |
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D. |
their inner product equals zero |
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Hint |
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17. |
Find the magnitude of the resultant vector that is the sum of the two vectors shown. |
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A. |
165.2 |
B. |
80.1 |
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C. |
124 |
D. |
59 |
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Hint |
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18. |
What is the complex conjugate of a - bi, if a and b are real numbers? |
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A. |
a + bi |
B. |
a - bi |
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C. |
a2 + b2 - abi |
D. |
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Hint |
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19. |
Express the complex number -9 – 4i in polar 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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20. |
Which of the following is not a cube root of -3 + 3i? |
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A. |
-1.14 - 1.14i |
B. |
-1.56 + 0.42i |
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C. |
0.42 - 1.56i |
D. |
1.14 +1.14i |
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Hint |
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