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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. |
12 ft |
B. |
17.0 ft |
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C. |
19 ft |
D. |
17.8 ft |
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Hint |
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2. |
Describe the line that is graphed below. |
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A. |
passes through the point (3,-2) with a slope of  |
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B. |
passes through the point (3,-2) with a slope of  |
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C. |
passes through the point (3,-2) with a slope of  |
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D. |
passes through the point (3,2) with a slope of  |
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Hint |
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3. |
A graph of a system of three linear equations in three variables is shown below. How many solutions does the system have? |
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A. |
1 |
B. |
0 |
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C. |
2 |
D. |
infinite number |
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Hint |
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4. |
Factor m3 - 4m2 + 6m - 24. |
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A. |
(m + 4)(m2 - 6) |
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B. |
m2(m - 4) + 6m - 24 |
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C. |
m(m2 - 4m + 6) - 24 |
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D. |
(m - 4)(m2 + 6) |
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Hint |
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5. |
Simplify  |
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A. |
±84.5 |
B. |
±13 |
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C. |
-13 |
D. |
13 |
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Hint |
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6. |
Simplify i17. |
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A. |
-i |
B. |
1 |
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C. |
i |
D. |
-1 |
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Hint |
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7. |
Approximate the real zero of h(x) = 2x4 - 3x2 + x + 1 to the nearest tenth. |
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A. |
-1.3, -0.5 |
B. |
-0.3 |
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C. |
1.6 |
D. |
-1.5, 0.9 |
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Hint |
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8. |
If it exists, what is the sum of the infinite series  |
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A. |
 |
B. |
 |
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C. |
20 |
D. |
The sum does not exist. |
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Hint |
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9. |
If  is an angle in standard position whose terminal side lies in quadrant III and  find the exact value of the tan . |
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A. |
 |
B. |
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C. |
 |
D. |
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Hint |
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10. |
Simplify  . |
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A. |
n + 1 |
B. |
n |
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C. |
n + 1 |
D. |
 |
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Hint |
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11. |
What is the slope of the line with equation  |
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A. |
 |
B. |
-7 |
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C. |
7 |
D. |
 |
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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, 4 × 3 |
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C. |
defined, 3 × 4 |
D. |
undefined |
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Hint |
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13. |
Find the x- and y-intercepts of  . |
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A. |
x: no intercept, y: |
B. |
x: , y: |
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C. |
x: 7, y: |
D. |
x:, y: no intercept |
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Hint |
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14. |
Which of the following points will not be included in the graph of ? |
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A. |
(6, 6) |
B. |
(1, 5) |
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C. |
(5, 8) |
D. |
(3, 2) |
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Hint |
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15. |
Write an equation for the ellipse whose endpoints of its major axis are at (-3, 1) and (5, 1), and that of its minor axis are at (1, -1) and (1, 3). |
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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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16. |
Shrinivas deposited $1300 in an account which pays 8% annual interest, compounded continuously. How long will it take to reach $3500? |
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A. |
176 years |
B. |
9.2 years |
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C. |
1.2 years |
D. |
12.4 years |
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Hint |
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17. |
Find the sum of a geometric series for which a1 = 23,328, an = 3, and r =  . |
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A. |
27,993 |
B. |
19,440 |
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C. |
27,990 |
D. |
23,327 |
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Hint |
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18. |
Is it true that 10n – 1 is divisible by 9? |
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A. |
no, since 105 – 1 = 49 |
B. |
no, since 105 – 1 = 100001 |
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C. |
yes, for all integers n |
D. |
no, since 105 – 1 = 99999 |
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Hint |
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19. |
The period of a function is which of the following? |
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A. |
360° |
B. |
the domain |
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C. |
least positive value of a for which f(x) = f(x + a) |
D. |
the range |
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Hint |
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20. |
Suppose that there is a periodic function f(x) such that f(10) = f(40). Which of the following cannot be the period? |
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A. |
5 |
B. |
4 |
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C. |
6 |
D. |
15 |
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Hint |
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