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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. |
17.8 ft |
B. |
17.0 ft |
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C. |
19 ft |
D. |
12 ft |
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Hint |
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2. |
Evaluate |-6p| if p = 2. |
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A. |
-12 |
B. |
3 |
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C. |
12 |
D. |
0 |
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Hint |
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3. |
Write an inequality for the following problem. One fourth of a number increased by 17 is at least 63. |
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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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4. |
In a science experiment, students hung a cup from a spring and measured the length of the spring when candies were added to it. Their data are shown in the table below. Which statement is true? |
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A. |
The relation is not a function because there are two y values for some x values. |
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B. |
The relation is a function because for each x value, there is exactly one y value. |
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C. |
The relation is a function because the range values increase. |
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D. |
The relation is not a function because only a line can be a function. |
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Hint |
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5. |
Determine the slope of the line that passes through the points at
(1, 5) and (-4, 0). |
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A. |
-1 |
B. |
1 |
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C. |
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D. |
0 |
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Hint |
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6. |
Choose the graph of f(x) = |x| - 2. |
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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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7. |
A feasible region has vertices at (4, 6), (-2, 3), (2, -2), and (3, 1). At which point is the maximum value of the function f(x, y) = 2x + y? |
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A. |
f(-2, 3) |
B. |
f(3, 1) |
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C. |
f(4, 6) |
D. |
f(2, -2) |
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Hint |
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8. |
Choose the matrix that represents the ordered triple (5, -7, 1). |
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A. |
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B. |
[5 -7 1] |
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C. |
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D. |
[1 -7 5] |
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Hint |
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9. |
Triangle PQR with vertices P(-8, 9), Q(-3, -1), and R(2, 5) is translated so that P' is at (-12, 0). Find the translation matrix. |
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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. |
Use synthetic division to find
(4x3 + 13x2 - 2x -15) ÷ (x + 3). |
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A. |
4x2 + x - 5 |
B. |
4x - 5 |
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C. |
4x2 + x + 5 |
D. |
x2 + x - 5 |
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Hint |
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11. |
Solve 2m2 - 3m -2  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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12. |
Find 4[p(x)] if p(x) = x2 - 3x + 2. |
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A. |
4x2 - 3x + 2 |
B. |
x2 - 12x + 2 |
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C. |
16x2 - 12x + 2 |
D. |
4x2 - 12x + 8 |
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Hint |
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13. |
Approximate the real zero of h(x) = 2x4 - 3x2 + x + 1 to the nearest tenth. |
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A. |
-1.5, 0.9 |
B. |
-1.3, -0.5 |
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C. |
1.6 |
D. |
-0.3 |
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Hint |
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14. |
One zero of p(x) = x3 - 3x2 - 6x + 8 is 1. Which of the following is another zero? |
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A. |
-1 |
B. |
4 |
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C. |
1 - i |
D. |
1 + i |
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Hint |
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15. |
Find all of the rational zeros of the function p(x) = 2x3 + 3x2 - 11x - 6. |
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A. |
-3, 2 |
B. |
-6 |
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C. |
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D. |
-3, 1 |
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Hint |
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16. |
Solve y4 - 18y2 + 81 = 0. |
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A. |
3, 3i |
B. |
3 |
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C. |
-3, 3 |
D. |
-3, 3, -3i, 3i |
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Hint |
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17. |
Evaluate  |
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A. |
–654 |
B. |
–51 |
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C. |
37 |
D. |
111 |
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Hint |
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18. |
Simplify (7x2 + 2x – 3) – (2x2 – 11x + 4) |
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A. |
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B. |
5x2 + 13x – 7 |
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C. |
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D. |
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Hint |
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19. |
In the equation y = x2 – 5, what is the axis of symmetry, and what is the minimum? |
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A. |
x =  , min = 0 |
B. |
x = 0, min = –5 |
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C. |
x = 0, min = |
D. |
x = –5, min = 0 |
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Hint |
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20. |
When is it true that  ? |
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A. |
-1 |
B. |
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C. |
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D. |
all real numbers |
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Hint |
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