Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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Simplify the radical expression.
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1.
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2.
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3.
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4.
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5.
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6.
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7.
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A student visiting the Sears Tower Skydeck is 1353 feet above the ground. Find
the distance the student can see to the horizon. Use the formula  to
approximate the distance d in miles to the horizon when h is the height of the
viewer’s eyes above the ground in feet. Round to the nearest mile. a. | 45 miles | b. | 601 miles | c. | 36 miles | d. | 1010
miles |
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Simplify the radical expression by rationalizing the denominator.
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8.
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9.
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Find the length of the missing side. If necessary, round to the nearest
tenth.
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10.
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11.
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Determine whether the given lengths can be sides of a right
triangle.
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12.
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18 m, 24 m, 30 m
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13.
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7 cm, 40 cm, 41 cm
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Simplify the expression.
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14.
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15.
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16.
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17.
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18.
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Find the exact perimeter of the triangle. 
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19.
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Determine whether  is sometimes, always, or
never true. a. | never | b. | sometimes | c. | always |
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Solve the equation. Check your solution.
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20.
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a. | 6 | b. | 144 | c. |  | d. | 12 |
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21.
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22.
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a. | –3 | b. | 5 | c. | –5 | d. |  |
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23.
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The velocity of sound in air is given by the equation 
where v is the velocity in meters per second and t is the temperature in degrees
Celsius. Find the temperature when the velocity of sound in air is 369 meters per second. Round to
the nearest degree. a. | 507º | b. | 6,535º | c. | 7,081º | d. | 67º |
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24.
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The formula  can be used to find the velocity v in
feet per second of an object that has fallen h feet. Find the velocity of an object that has
fallen 25 feet. Round your answer to the nearest hundredth. a. | 800 feet per second | c. | 200 feet per second | b. | 320 feet per second | d. | 40 feet per
second |
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Find the value of x to the nearest tenth.
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25.
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26.
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27.
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a. Find the value of each variable to the nearest tenth. b.
Find the perimeter of the triangle to the nearest tenth. 
a. | a = 30, c = 36.6, perimeter = 87.6 | c. | a = 36.6, c = 17.2,
perimeter = 74.8 | b. | a = 36.6, c = 30, perimeter = 87.6 | d. | a = 17.2, c = 36.6, perimeter =
74.8 |
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Determine whether the following statement is sometimes, always,
or never true.
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28.
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Two consecutive positive integers form part of a Pythagorean triple.
a. | never | b. | always | c. | sometimes |
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29.
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Two legs of a right triangle are equal and have length a, which is an
integer. The hypotenuse of that triangle has length c, which is also an integer.
a. | never | b. | sometimes | c. | always |
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30.
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The point P is  of the distance between
M and N. Find the coordinates of P. 
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31.
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Use  to find the value of cos A.
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