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1. |
 and  are similar. Find x if z = 3, a = 6,
and c = 4.5. |
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 |
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A. |
7.5 |
B. |
9 |
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C. |
2.25 |
D. |
4 |
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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. |
21.95 |
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C. |
28.17 |
D. |
27.63 |
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Hint |
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3. |
Determine  . |
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A. |
-32 |
B. |
-4 |
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C. |
-16 |
D. |
-8 |
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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. |
 |
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Hint |
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6. |
Which are the vertices of an isosceles triangle? |
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A. |
A(6, 3), B(-2, 4), C(2, 11) |
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B. |
G(5, 1), H(-4, 3), I(2, 6) |
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C. |
D(2, -6), E(1, -5), F(8, 0) |
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D. |
J(0, 4), K(-3, -4), L(1, -5) |
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Hint |
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7. |
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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8. |
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. |
54 feet |
B. |
108 feet |
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C. |
180 feet |
D. |
90 feet |
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Hint |
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9. |
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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10. |
Tamotsu and Ryan each go to the same school. Tamotsu lives 5 miles north and 3 miles west of the school. Ryan lives 7 miles south and 4 miles east of the school. How far apart do they live? |
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A. |
12.04 miles |
B. |
2.24 miles |
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C. |
13.9 miles |
D. |
7.28 miles |
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Hint |
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