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1. |
Solve the system of equations by elimination.
2x + y - z = 3 x + y + z = 5 x - 2y + z = 2
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A. |
(2, 1, 2) |
B. |
(1, 2, 1) |
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C. |
(1, 1, 2) |
D. |
(2, 2, 1) |
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Hint |
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2. |
Which of the following shows the system of equations using a matrix equation? |
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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. |
If you use the parent graph f(x) = [[x]], describe how you would graph g(x) = 3[[x]]. |
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A. |
The vertical distance between the steps for g(x) is 3 units. |
B. |
There would be no difference between f(x) = [[x]] and g(x) = 3[[x]]. |
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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. |
If you divide a polynomial by the factor x + 6 and a remainder of zero results, which conclusion is true? |
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A. |
x + 6 is a factor of the polynomial. |
B. |
x - 6 is not a factor of the polynomial. |
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C. |
x + 6 is not a factor of the polynomial. |
D. |
x - 6 is a factor of the polynomial. |
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Hint |
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5. |
Approximate the real zero(s) of f(x) = x3 - 2x2 + 5x - 5 to the nearest tenth. |
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A. |
1.2 |
B. |
1.4 |
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C. |
1.4, 2.1, and 3.2 |
D. |
1.6 |
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Hint |
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6. |
If find  |
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A. |
7 |
B. |
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C. |
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D. |
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Hint |
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7. |
Find the area of if a = 5, b = 8, and c = 10. |
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A. |
about 19.8 square units |
B. |
about 39.6 square units |
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C. |
about 15.2 square units |
D. |
about 7.6 square units |
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Hint |
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8. |
Simplify cos x tan x. |
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A. |
csc x |
B. |
cos x |
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C. |
sin x |
D. |
1 |
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Hint |
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9. |
Use a half-angle identity to find the exact value of sin 67.5°. |
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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. |
Find the magnitude of the vector . |
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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. |
A football player kicks a football with an initial velocity of 25 yards per second at an angle of 77° to the horizontal. What is the hang time, the elapsed time between the moment the ball is kicked and the time it hits the ground? |
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A. |
about 4.8 seconds |
B. |
about 4.4 seconds |
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C. |
about 4.6 seconds |
D. |
about 4.2 seconds |
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Hint |
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12. |
Given f(x) = x-5 and g(x) = x2+ 3,find (f · g)(x). |
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A. |
x3 –5x2 +3x -15 |
B. |
x2 –2x-15 |
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C. |
4x3 –2x |
D. |
x3 +5x2 +3x-15 |
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Hint |
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13. |
Graph the equation 3x + 2y = 0 |
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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. |
Which of the following graphs represents the function: 
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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. |
Choose the best method to solve the system of equations x + y = 2 and y = 3x - 4. |
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A. |
Eliminate x |
B. |
Graphing |
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C. |
Eliminate y |
D. |
Substitution |
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Hint |
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16. |
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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17. |
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)2 |
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C. |
f -1 = 4  |
D. |
f -1 = x - 4 |
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Hint |
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18. |
The function f(x) = -(x - 3)2 + 4 has a critical point at x = 3. Determine and classify this point. |
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A. |
(3,4) is the relative maximum of this function. |
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B. |
(3,4) is the point of inflection. |
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C. |
(3,4) is the absolute minimum of this function. |
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D. |
(3,4) is the absolute maximum of this function. |
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Hint |
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19. |
Karla is in a contest to see who can hit a baseball the farthest. If she hits a ball with an initial velocity of 94.5 ft/s at an angle of 42° with the horizontal, how far will the ball travel before it hits the ground? |
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A. |
139 ft |
B. |
277 ft |
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C. |
250 ft |
D. |
395 ft |
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Hint |
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20. |
Given the coordinates of a rectangular prism, represent them as a vertex matrix: A(1, 5, 3), B (1, 5, -1), C (1, -3, -1), D (1, -3, 3), E (-4, 5, 3), F (-4, 5, -1), G (-4, -3, -1), H (-4, -3, 3) |
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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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