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1. |
Find tan Z. |
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 |
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A. |
0.6 |
B. |
0.75 |
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C. |
1.8 |
D. |
6 |
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Hint |
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2. |
Find cos 42° to the nearest thousandth. |
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A. |
0.743 |
B. |
-0.399 |
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C. |
0.900 |
D. |
0.669 |
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Hint |
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3. |
Simplify  . |
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A. |
 |
B. |
7 |
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C. |
 |
D. |
 |
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Hint |
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4. |
Simplify  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
Solve  . |
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A. |
no real solution |
B. |
-4, -1 |
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C. |
-1 |
D. |
-4 |
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Hint |
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6. |
Solve  . |
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A. |
3 |
B. |
-1, 3 |
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C. |
1, 3 |
D. |
-1 |
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Hint |
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7. |
The distance between the points with coordinates (3, 7) and (-2, a) is  units. Find the value of a. |
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A. |
1 or 13 |
B. |
-1 or -13 |
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C. |
-1 or 1 |
D. |
-1 or 13 |
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Hint |
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8. |
Find the result of |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
Simplify  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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10. |
Consider a right triangle whose height is 12 feet and whose hypotenuse is 15 feet. What is the area of the triangle? |
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A. |
108 feet |
B. |
54 feet |
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C. |
90 feet |
D. |
180 feet |
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Hint |
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11. |
Which of the following is not a necessary condition of all right triangles? |
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A. |
The largest angle is 90°. |
B. |
The square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. |
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C. |
a2 + b2 = c2, where c is the length of the hypotenuse, and a and b are the lengths of the legs. |
D. |
a < b |
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Hint |
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12. |
Greta and her grandmother planned to attend a downtown play. Greta lives 10 miles south and 4 miles west of downtown, while her grandmother lives 2 miles south and 2 miles east of downtown. If Greta picks up her grandmother on the way (rather than meet her at the play), how many miles does that add to her trip? |
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A. |
 |
B. |
 |
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C. |
2 |
D. |
 |
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Hint |
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13. |
Which of the following is not necessarily true concerning similar triangles? |
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A. |
The measures of their corresponding sides are equal. |
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B. |
The measures of their corresponding angles are equal. |
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C. |
Each triangle has angles whose sum is 180°. |
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D. |
The measures of their corresponding sides are proportional. |
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Hint |
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14. |
Suppose a man that is 6 feet tall is standing near a street light that is 10 feet high. If the shadow that is cast extends 20 feet away from the light, how far away from the light is the man? |
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A. |
6 feet |
B. |
14 feet |
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C. |
12 feet |
D. |
8 feet |
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Hint |
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