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1.
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Graphically estimate the x- and
y-intercepts of the graph.
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2.
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Identify any intercepts and test for symmetry. Then
sketch the graph of the equation.
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3.
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Write the standard form of the equation of the
circle with the given characteristics.
center:  ; solution point: 
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4.
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Determine whether the value of 
is a solution of the equation.
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5.
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Solve the equation and check your
solution.
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6.
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Solve the equation for  . (Round your
answer to three decimal places.)
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7.
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Write the following quadratic equation in standard
form.
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8.
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Solve the equation  by extracting
square roots.
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9.
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Use the Quadratic Formula to solve  .
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10.
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The floor of a one-story building is 14 feet longer
than it is wide (see figure). The building
has 2760 square feet of floor space.
Write a quadratic equation for the area of the floor in terms of 
and find the length and width of the floor.
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11.
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Write the quotient in standard form.
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12.
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Simplify the complex number and write it in
standard form.
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13.
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Raise each complex number to the fourth
power.
a. |  | b. | –64 | c. | 64 | d. | 16 | e. |  |
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14.
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Find all solutions to the equation  .
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15.
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Determine whether  is a solution
of the inequality  .
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16.
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Solve the inequality.
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17.
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Use absolute value notation to define the interval
(or pair of intervals) on the real number line.
All real numbers more than 
units from 
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18.
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Determine whether the value of 
is a solution of the inequality.
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19.
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Use a graphing utility to graph the equation. Use
the graph to approximate the values of  that satisfy the
inequality.
Equation:
Inequalities:
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20.
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Solve the inequality and graph the solution on the
real number line.
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