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1. |
An 18-foot ladder is placed 6 feet from the wall. Approximately how high does the ladder reach? |
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A. |
17.0 ft |
B. |
17.8 ft |
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C. |
19 ft |
D. |
12 ft |
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Hint |
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2. |
Which statement is true about the graph shown below? |
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A. |
The domain is {-3, 2, 4}. |
B. |
The relation is not a function. |
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C. |
The range is {-3, -2, 0, 1}. |
D. |
The relation is a function. |
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Hint |
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3. |
Which equation has a graph that is parallel to the graph of 4x - 2y = 1? |
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A. |
 |
B. |
y = 2x - 3 |
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C. |
 |
D. |
 |
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Hint |
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4. |
The solution of a system of three linear equations in three variables, x, y, and z, is called a(n) ____ (x, y, z). |
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A. |
sum |
B. |
integer |
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C. |
ordered pair |
D. |
ordered triple |
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Hint |
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5. |
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. |
(6, 6) |
B. |
(4, 2) |
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C. |
(6, 3) |
D. |
(-2, -2) |
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Hint |
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6. |
The product  gives the coordinates of two points on line AB that has been rotated 90° counterclockwise about the origin. Name the coordinates of A' and B'. |
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A. |
A'(1, -3), B'(1, 1) |
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B. |
A'(-1, 1), B'(1, -3) |
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C. |
A'(1, 1), B'(-1, -3) |
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D. |
A'(-1, -3), B'(1, 1) |
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Hint |
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7. |
Determine which matrix is the 3 × 3 identity matrix. |
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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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8. |
Determine which expression is not a polynomial. |
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A. |
 |
B. |
x2 - y2 + z2 |
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C. |
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D. |
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Hint |
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9. |
Simplify  |
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A. |
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B. |
27 |
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C. |
9 |
D. |
3 |
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Hint |
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10. |
What is the conjugate of 12 - 4i? |
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A. |
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B. |
12 + 4i |
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C. |
12 |
D. |
-4i |
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Hint |
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11. |
Determine the distance between points at
 and  |
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A. |
 units |
B. |
9 units |
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C. |
 units |
D. |
 units |
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Hint |
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12. |
The roots of x2 + 4x + 7 are________. |
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A. |
imaginary |
B. |
real and irrational |
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C. |
real and rational |
D. |
real and imaginary |
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Hint |
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13. |
Find p(2) for p(x) = x4 + 3x3 - 2x2 - 4x + 1. |
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A. |
12 |
B. |
25 |
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C. |
-1 |
D. |
-7 |
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Hint |
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14. |
Approximate the real zero of f(x) = x3 + x + 1 to the nearest tenth. |
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A. |
-1.0 |
B. |
-0.7 |
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C. |
-1.3 |
D. |
0.3 |
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Hint |
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15. |
Simplify  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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Hint |
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16. |
Solve  . |
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A. |
1 |
B. |
-3, -1 |
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C. |
0, 1 |
D. |
-3, 1 |
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Hint |
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17. |
Solve the equation x – 82 = 143 |
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A. |
225 |
B. |
-61 |
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C. |
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D. |
61 |
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Hint |
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18. |
Solve by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located. |
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A. |
1, 2 |
B. |
between 0 and 1, and 1 and 2 |
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C. |
between 0 and 1, and 2 and 3 |
D. |
between –1 and 0, and 1 and 2 |
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Hint |
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19. |
Solve x2 + 14x + 49 = 0 by using the quadratic formula. |
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A. |
7 |
B. |
–7 |
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C. |
6, 8 |
D. |
–6, –8 |
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Hint |
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20. |
Which of the following points will not be included in the graph of ? |
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A. |
(3, 2) |
B. |
(5, 8) |
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C. |
(6, 6) |
D. |
(1, 5) |
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Hint |
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