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1. |
Triangle FGH has vertices F(12, 6), G(8, 1), and H(-4, 4). If the triangle is reduced so that the resulting perimeter is half the original perimeter, what are the coordinates of F'? |
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A. |
(4, 2) |
B. |
(6, 6) |
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C. |
(6, 3) |
D. |
(-2, -2) |
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Hint |
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2. |
If  , find I so that  |
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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. |
Solve  using inverse matrices. |
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A. |
(-4, 0) |
B. |
(-4, 4) |
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C. |
(4, 4) |
D. |
(4, -4) |
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Hint |
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4. |
Factor 8a4b - 3ab2c. |
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A. |
ab(8a3 - 3bc) |
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B. |
8ab(a2 - 3bc) |
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C. |
a2b(8a2 - 3bc) |
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D. |
abc(8a3 - 3b) |
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Hint |
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5. |
Simplify  |
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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. |
Find the coordinates of the center of an ellipse with equation
9x2 + 4y2 - 72x + 16y + 124 = 0. |
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A. |
(4, -2) |
B. |
(4, 2) |
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C. |
(2, 3) |
D. |
(4, 9) |
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Hint |
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7. |
Solve the system of equations.
x - y + 6 = 0
x2 + y2 = 16 |
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A. |
(4, 0) |
B. |
(1, 7),  |
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C. |
(-2, 4) |
D. |
no solution |
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Hint |
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8. |
Which is the quadratic term in the function f(x) = 3x2 + 6x - 4? |
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A. |
3 |
B. |
3x2 |
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C. |
3x2 + 6x - 4 |
D. |
x2 |
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Hint |
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9. |
Suppose a ball is thrown straight up at a speed of 50 feet per second. The time in seconds that it takes for the ball to hit the ground can be found by solving the equation 5 + 50t - 16t2 = 0. Approximately how long does it take for the ball to hit the ground? |
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A. |
3.2 s |
B. |
4.8 s |
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C. |
0.1 s |
D. |
-0.1 s |
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Hint |
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10. |
Which is the graph of the inequality y < x2 -2x - 8? |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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11. |
How many possible negative real zeros are there for the polynomial
g(x) = 2x4 + x3 - 4x + 1? |
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A. |
1 |
B. |
2 |
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C. |
3 |
D. |
5 |
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Hint |
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12. |
One zero of p(x) = x3 - 3x2 - 6x + 8 is 1. Which of the following is another zero? |
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A. |
1 + i |
B. |
-1 |
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C. |
1 - i |
D. |
4 |
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Hint |
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13. |
Which is not a possible rational zero of the function
g(x) = 3x3 + 2x2 - 7x - 6? |
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A. |
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B. |
-3 |
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C. |
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D. |
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Hint |
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14. |
What are all of the rational zeros of the function
q(x) = x4 - x3 + 4x2 - 4x? |
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A. |
0, 1 |
B. |
0 |
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C. |
0, -2 |
D. |
0, 1, ±2 |
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Hint |
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15. |
Evaluate z – (2yz + y) · y if y = -3 and z = 2. |
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A. |
23 |
B. |
47 |
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C. |
9 |
D. |
-43 |
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Hint |
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16. |
Choose the ordered pair that satisfies 7x – 15y < -13. |
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A. |
(1, 1) |
B. |
(2, -3) |
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C. |
(0, -2) |
D. |
(-2, 0) |
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Hint |
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17. |
Simplify:  if  |
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A. |
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B. |
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C. |
Cannot be simplified further. |
D. |
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Hint |
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18. |
If a perfect square is equal to a constant, what is the best method to solve the quadratic equation? |
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A. |
Factoring |
B. |
Square Root Property |
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C. |
Quadratic Formula |
D. |
Completing the Square |
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Hint |
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19. |
If two functions f and g are inverse relations, which of the following points must be on graph g if it is on graph f ? |
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A. |
(1, 1) |
B. |
(-1, 1) |
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C. |
Cannot be determined from given information. |
D. |
(2, -2) |
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Hint |
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20. |
Write an equation for the ellipse 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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