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1.
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Simplify  . a. |  | b. |  |
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2.
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Write the expression  by using rational
exponents.
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3.
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Write the expression  in radical form, and
simplify. Round to the nearest whole number if necessary. a. |  ; 172 | c. |  ;
3125 | b. |  ; 625 | d. |  ;
3125 |
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4.
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Simplify the expression  .
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5.
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Simplify the expression  . All variables represent
nonnegative numbers.
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6.
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Simplify  . All variables represent nonnegative
numbers.
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7.
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Simplify  .
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8.
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Graph the function  .
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9.
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Graph  . Identify the vertex and the direction that
the parabola opens.
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10.
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Solve the equation  .
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11.
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Solve the equation  . a. | –3 | b. | 4, –3 | c. | no solution | d. | 4 |
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12.
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Solve the equation  . a. | p = 0 | c. | p =  | b. | p =
4 | d. | no
solution |
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13.
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Solve the equation  .
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14.
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Solve  .
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15.
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Two functions are  and  . Find  and  . Then evaluate  and  when  .
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16.
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Two functions are  and  . Find  and  . Then evaluate  and  when  .
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17.
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Let  . Solve  for
x.
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18.
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Find the inverse of   .
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19.
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Find the inverse of  .
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20.
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Find the inverse of  .
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21.
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A right rectangular prism has width  inches, length  inches, and height  inches, for  . Another
right rectangular prism has width  inches, length  inches, and
height  inches over the same domain. Find functions
 and  , which
represent the volumes of the prisms. Then find  , which represents the
positive difference, in cubic inches, between the two volumes.
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22.
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a. Find  , the inverse of  . b. Use the
formula for  to find the inverse of  .
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