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1. |
 and  are similar. Find x if z = 3, a = 6,
and c = 4.5. |
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A. |
9 |
B. |
7.5 |
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C. |
4 |
D. |
2.25 |
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Hint |
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2. |
and are similar. Find a if x = 7, y = 1,
and  |
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A. |
 |
B. |
 |
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C. |
 |
D. |
1 |
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Hint |
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3. |
Find the length of the missing side to the nearest hundredth. |
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 |
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A. |
9.43 |
B. |
3 |
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C. |
6.24 |
D. |
4.87 |
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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. |
Simplify  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
The expression is in simplest form |
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Hint |
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6. |
Solve  . |
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A. |
5 |
B. |
no real solution |
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C. |
-1 |
D. |
0 |
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Hint |
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7. |
Find the distance between points with coordinates (3, -2) and (-2, 10). |
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A. |
 |
B. |
7 |
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C. |
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D. |
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. |
What is the area of a square whose sides measure  meters? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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10. |
Suppose the formula  represents the relationship between a plane's length L and the pounds P its wings can lift, where k is a constant of proportionality calculated for a plane. If a plane must be able to support 300,000 pounds and its wings are 180 feet, what is the value of k? |
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A. |
0.108 |
B. |
0.573 |
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C. |
0.0006 |
D. |
0.0245 |
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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. |
a2 + b2 = c2, where c is the length of the hypotenuse, and a and b are the lengths of the legs. |
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C. |
a < b |
D. |
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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Hint |
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12. |
Find the value of a if the distance between (4, 3) and (–1, a) is 13 units. |
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A. |
a = –15 only |
B. |
a = 15 or –9 |
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C. |
a = 15 only |
D. |
a = –15 or 9 |
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Hint |
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13. |
Using the figure, which expression is equal to cos 38°? |
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A. |
sin 38° |
B. |
sin 52° |
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C. |
tan 52° |
D. |
tan 38° |
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Hint |
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14. |
John wanted to see the flag as he sang the national anthem, so he looked up at it at an angle of 38°. Then, he decided to get a closer look, so he walked 150 feet toward the flag. If his angle of elevation was now 46°, how high was the flag? |
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A. |
477.3 ft. |
B. |
460.9 ft. |
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C. |
117.2 ft. |
D. |
155.3 ft. |
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Hint |
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