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1. |
Find  (x) if f(x) = 3x2 + 1 and g(x) = 2x + 3. |
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A. |
6x2 - 5 |
B. |
12x2 - 36x + 28 |
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C. |
12x2 + 36x + 28 |
D. |
6x2 + 5 |
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Hint |
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2. |
Graph the equation y =  |
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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. |
A triangle ABC has vertices A(3, -1), B(4, -2), and C(7, 1). Find the coordinates of the dilated triangle for a scale factor of 3. |
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A. |
A,/i>'(12, -6), B'(21, 3),
C'(-9, -3) |
B. |
A'(-3, 9), B'(-6, 12),
C'(3, 21) |
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C. |
A'(21, 3), B'(12, -6),
C'(-9, -3) |
D. |
A'(9, -3), B'(12, -6),
C'(21, 3) |
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Hint |
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4. |
If you use the parent graph f(x) = x2, describe how you would graph
g(x) = (x - 4)2 - 2. |
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A. |
Move the parent graph left 4 units and up 2 units. |
B. |
Move the parent graph right 4 units and down 2 units. |
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C. |
Move the parent graph right 4 units and up 2 units. |
D. |
Move the parent graph left 4 units and down 2 units. |
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Hint |
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5. |
Use the unit circle to find the value of cos 120°. |
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A. |
-2 |
B. |
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C. |
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D. |
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Hint |
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6. |
State the amplitude, period, phase shift, and vertical shift for
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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. |
If csc  = 2, find sin . |
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A. |
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B. |
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C. |
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D. |
2 |
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Hint |
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8. |
Solve cos x - 1 = 0 for all real values of x. |
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A. |
 + 2 k,  +2k |
B. |
+ k |
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C. |
 +2k,  + 2k |
D. |
 +2k,  + 2k |
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Hint |
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9. |
Find  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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10. |
A transformation in three-dimensional space is represented by  . Which matrix represents this transformation? |
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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. |
Solve the equation x3 - 27 = 0. |
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A. |
3,  ,  |
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B. |
3,  ,  |
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C. |
3,  ,  |
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D. |
3,  ,  |
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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. |
4x3 –2x |
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C. |
x2 –2x-15 |
D. |
x3 –5x2 +3x -15 |
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Hint |
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13. |
Find a linear equation that can be used as a model for the data shown. |
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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. |
What type of relationship does the scatter plot suggest? |
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A. |
a linear relationship with a negative correlation |
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B. |
no linear relationship |
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C. |
no correlation |
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D. |
a linear relationship with a positive correlation |
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Hint |
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15. |
Which of the following describes the system of equations x - 3y + 2 = 0 and
2x - 6y + 4 = 0? |
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A. |
none of these |
B. |
Consistent and dependent |
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C. |
Consistent and independent |
D. |
Inconsistent |
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Hint |
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16. |
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A. |
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B. |
impossible |
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C. |
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D. |
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Hint |
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17. |
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A. |
impossible |
B. |
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C. |
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D. |
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Hint |
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18. |
A quadrilateral with vertices A(-2,-3), B(-4,2), C(-2,4) and D(0,2) is translated 5 units to the right and 3 units down. What are the new coordinates? |
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A. |
A(-5,2), B(-7, 7), C(-5, 9), D(-3, 7) |
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B. |
A(3,0), B(-1,5), C(3,7), D(5,5) |
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C. |
A(3,-6), B(1,-1), C(3,7), D(5,5) |
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D. |
A(3,-6), B(1,-1), C(3,1), D(5,-1) |
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Hint |
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19. |
Sam has $10,000 to deposit in two different savings accounts. He wants at least $3,000 in the account with 3% interest. He wants no less than $5,000 in the account with 7% interest.Graph this system of inequalities. |
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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. |
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 = 4  |
D. |
f -1 = (x - 4)2 |
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Hint |
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