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1. |
 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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2. |
In a right triangle, the legs have measures a = 11 and b = 19. Find the length c of the hypotenuse to the nearest hundredth. |
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A. |
15.49 |
B. |
27.63 |
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C. |
28.17 |
D. |
21.95 |
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Hint |
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3. |
In a right triangle, the length c of the hypotenuse is 14 and the length b of one of the legs is 8. Find the length a of the other leg to the nearest hundredth. |
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A. |
19.88 |
B. |
11.49 |
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C. |
21.23 |
D. |
16.12 |
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Hint |
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4. |
Simplify  |
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A. |
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B. |
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C. |
72 |
D. |
 |
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Hint |
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5. |
Simplify  . |
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A. |
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B. |
 |
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C. |
The expression is in simplest form |
D. |
 |
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Hint |
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6. |
Solve  . |
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A. |
2 |
B. |
-1 |
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C. |
no real solution |
D. |
0 |
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Hint |
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7. |
Simplify  . |
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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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8. |
Three houses are sharing their electricity. One house uses  W, another uses  W, and the final one uses  . How much total electricity are they using? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
Solve  . |
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A. |
15 |
B. |
125 |
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C. |
25 |
D. |
445 |
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Hint |
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10. |
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. |
2 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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11. |
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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12. |
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. |
Each triangle has angles whose sum is 180°. |
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C. |
The measures of their corresponding angles are equal. |
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D. |
The measures of their corresponding sides are proportional. |
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Hint |
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13. |
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. |
155.3 ft. |
B. |
477.3 ft. |
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C. |
460.9 ft. |
D. |
117.2 ft. |
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Hint |
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14. |
Libby looked out of her airplane window at a 32° angle with respect to the horizontal, and saw the Sears Tower building in Chicago. If the airplane had an altitude of 4000 feet, how far away were they from being directly over Chicago? |
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A. |
9900 ft. |
B. |
2499 ft. |
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C. |
1616 ft. |
D. |
6401 ft. |
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Hint |
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