Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Find the positive and negative square roots of  , if possible.
Do not use a calculator.
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2.
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Find the positive and negative square roots of  , if possible.
Reduce the fraction, if needed. Do not use a calculator.
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3.
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Find the principal square root of  , if possible. Do not use a
calculator.
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4.
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Use a calculator to approximate  . Round your answer to three
decimal places.
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5.
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A stream of water moving at the rate of v feet per second can carry
particles of size  inches. Find the particle size (in inches)
that can be carried by a stream flowing at the rate of  foot per second. Round your
answer to two decimal places. a. |  inch | b. | 
inch | c. |  inch | d. | 
inch | e. |  inch |
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6.
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Use the formula  to find the length of the side s of a square
whose area is  square inches. Round your answer to two
decimal places.
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7.
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Complete the table. Round your answer to two decimal places.
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8.
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Simplify the radical  .
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9.
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Rationalize the denominator of the expression  and
simplify.
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10.
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Rationalize the denominator and simplify the expression  .
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11.
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Simplify the expression  .
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12.
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Simplify the expression  .
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13.
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Multiply and simplify the expression  .
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14.
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Rationalize the denominator of  and simplify.
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15.
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Rewrite  as a single fraction and rationalize the
denominator.
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16.
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Enter the number  in your calculator and repeatedly take the
square root. What number does the display appear to be approaching? a. |  | b. |  | c. |  | d. |  | e. | The display is not approaching a
number. |
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17.
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Determine which value of x is a solution of  .
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18.
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Find the distance between  and  .
Round your answer to two decimal places.
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19.
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Use the equation for the velocity of a free-falling object 
where v is measured in feet per second,  feet per second squared, and
h is height in feet to estimate the height from which the object was dropped if it strikes the
ground with a velocity of  feet per second. Round your answer to two
decimal places. a. |  feet | b. | 
feet | c. |  feet | d. | 
feet | e. |  feet |
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20.
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The demand equation for a video game is  where
x is the number of units demanded per day and p is the price per game. Find the demand
when the price is set at  . Round your answer to the nearest
integer. a. |  units per day | b. | 
units per day | c. |  units per day | d. | 
units per day | e. |  units per day |
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