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1. |
State the slope of the line graphed below. |
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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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2. |
Write an inequality to describe all the points on the coordinate plane
above y = -4. |
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A. |
y < 4 |
B. |
y < -4 |
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C. |
y > -4 |
D. |
y > 4 |
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Hint |
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3. |
Does the inverse of  exist? If it does not exist, explain why not. |
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A. |
No; the determinant equals 0. |
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B. |
Yes |
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C. |
No; the matrix is not square. |
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D. |
No; the elements of the principal diagonal are not 1. |
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Hint |
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4. |
Write the matrix equation  as a system of linear equations. |
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A. |
-2s + 5t = 7
s + 8t = 12 |
B. |
-2s + t = 7
5s + 8t = 12 |
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C. |
-2s + t = 12
5s + 8t = 7 |
D. |
-2s = 7
5t = 12 |
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Hint |
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5. |
Find the length of the major axis of an ellipse with equation
9x2 + y2 + 36x - 6y + 36 = 0. |
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A. |
6 |
B. |
9 |
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C. |
1 |
D. |
2 |
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Hint |
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6. |
Solve x2 - 4x - 5 = 0 by factoring. |
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A. |
-1, 5 |
B. |
1, 5 |
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C. |
1, -5 |
D. |
-1, -5 |
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Hint |
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7. |
Solve m2 - 2m = 15 by factoring. |
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A. |
3 |
B. |
-5, 3 |
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C. |
5 |
D. |
-3, 5 |
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Hint |
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8. |
Which function has a graph that opens upward? |
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A. |
f(x) = 2x2 - 5x - 2 |
B. |
f(x) = -x2 + 3x -12 |
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C. |
f(x) = -x2 + 4x + 7 |
D. |
f(x) = -5x2 -6x -3 |
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Hint |
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9. |
Find the axis of symmetry of the graph of f(x) = 4x2 -4x + 4. |
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A. |
y = 3 |
B. |
x =  |
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C. |
x = 2 |
D. |
x = 4 |
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Hint |
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10. |
Name the property illustrated by the equation 5 ·? (-2 – 7) = 5 ·? -2 – 5 ·? 7. |
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A. |
Associative Property |
B. |
Distributive Property |
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C. |
Commutative Property |
D. |
Inverse Property |
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Hint |
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11. |
What is the slope of the line with equation  |
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A. |
7 |
B. |
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C. |
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D. |
-7 |
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Hint |
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12. |
State whether the product of A3 × 4 and B3 × 4 is defined, and if it is defined, state the dimensions. |
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A. |
defined, 9 × 16 |
B. |
defined, 3 × 4 |
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C. |
undefined |
D. |
defined, 4 × 3 |
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Hint |
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13. |
Simplify  |
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A. |
t |
B. |
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C. |
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D. |
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Hint |
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14. |
Determine whether f(x) = –x2 – 3x + 4 has a maximum or a minimum. |
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A. |
minimum |
B. |
both |
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C. |
maximum |
D. |
cannot be determined from given information |
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Hint |
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15. |
What must be done to the quadratic expression ax2 + bx in order to complete the square? |
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A. |
square b, then find one half of the result, and add to original. |
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B. |
find one half of b, square this result, and add to original |
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C. |
square b and add to original |
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D. |
find one fourth of b and add to original |
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Hint |
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16. |
Solve x2 + 2x+ 3 = 0 by completing the square. |
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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. |
Solve  by using the quadratic formula. |
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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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18. |
What is the height of a computer whose base is x2 + 4x + 4 and whose volume is x3 + 3x2 – 4? |
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A. |
x + 1 |
B. |
x + 2 |
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C. |
(x – 1)( x + 2) |
D. |
x – 1 |
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Hint |
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19. |
Which of the following points will not be included in the graph of  ? |
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A. |
(3, 9) |
B. |
(4, 6) |
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C. |
(2, 4) |
D. |
(-2, 4) |
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Hint |
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20. |
The graph of  has a hole at which point? |
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A. |
(4, 8) |
B. |
(4, -8) |
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C. |
(-4, -8) |
D. |
(-4, 8) |
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Hint |
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