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1. |
 and  are similar. Find b if x = 15, y = 6,
and a = 7.5. |
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A. |
6 |
B. |
7.5 |
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C. |
12 |
D. |
3 |
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2. |
and are similar. Find a if x = 7, y = 1,
and  |
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A. |
1 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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3. |
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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4. |
Simplify  . |
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A. |
The expression is in simplest form. |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
Find the distance between points with coordinates (3, -4) and (-6, 5). |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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6. |
Find the result of |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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7. |
Which of the following is not a condition of a radical expression in simplest form? |
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A. |
No radicals appear in the denominator of a fraction. |
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B. |
No radicands have perfect square factors other than 1. |
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C. |
No radicals appear in the numerator of a fraction. |
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D. |
No radicands contain fractions. |
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Hint |
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8. |
Solve . |
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A. |
7 only |
B. |
{5, 8} |
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C. |
{6, 7} |
D. |
8 only |
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Hint |
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9. |
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. |
0.0006 |
B. |
0.0245 |
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C. |
0.108 |
D. |
0.573 |
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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. |
54 feet |
B. |
90 feet |
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C. |
108 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 square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. |
B. |
The largest angle is 90°. |
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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. |
Find the value of a if the distance between (4, 3) and (–1, a) is 13 units. |
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A. |
a = –15 or 9 |
B. |
a = –15 only |
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C. |
a = 15 only |
D. |
a = 15 or –9 |
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Hint |
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13. |
In the figure, what is the value of y? |
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A. |
33.5 |
B. |
13.9 |
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C. |
11.9 |
D. |
9.8 |
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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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