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1.
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Identify any intercepts and test for symmetry. Then
sketch the graph of the equation.
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2.
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You purchase a jet ski for $10,000. The depreciated
value, y, after x years is given by . Sketch the graph of the
equation given .
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3.
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Justify each step of the solution.
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4.
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The price of item is given for 2000 and 2007. Find
the percent change for the item.
a. |
decrease | b. |
decrease | c. |
increase | d. |
increase | e. |
increase |
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5.
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Solve the following percent equation.
70 is
of what number?
a. | 275 | b. | 225 | c. | 250 | d. | 300 | e. | 200 |
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6.
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Solve the quadratic equation by
factoring.
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7.
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Solve the equation by extracting square
roots.
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8.
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Find real numbers a and b such that
the equation is true.
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9.
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Perform the addition or subtraction and write the
result in standard form.
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10.
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Describe the error.
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11.
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Select the equation which has the given
solutions.
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12.
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13.
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Find the interval(s) on the real number line for
which the radicand is nonnegative.
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14.
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The numbers of eggs (in
billions) produced in the United States from 1990 through 2006 can be modeled
by
where t represents the year,
with corresponding to 1990. If this
relationship between salary and time continues, when was the annual egg production
billion, but no more than billion? (Round the answer to two decimal
places.)
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15.
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The side of a square is measured as
inches with a possible error of inch. Using these measurements,
determine the interval containing the possible areas of the square. Round your answers to three
decimal places.
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16.
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You stop at a self-service gas station to buy 15
gallons of 87-octane gasoline at $ a gallon. The gas pump is accurate to within
of a gallon. How much might you be
undercharged or overcharged? Round your answer to two decimal places.
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17.
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Michael Kasha of Florida State University used
physics and mathematics to design a new classical guitar. The model he used for the frequency of
the vibrations on a circular plate was
,
where is the frequency (in vibrations per second), t is the plate thickness (in
millimeters), d is the diameter of the plate, is the elasticity of the
plate material, and is the density of the plate material. For
fixed values of d, and the graph of
the equation is a line (see figure).
Estimate the frequency
when the plate thickness is millimeters.
a. | Around | b. | Around | c. | Around | d. | Around | e. | None of these |
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18.
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Solve the inequality and graph the solution on the
real number line.
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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: Inequality:
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20.
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Find the domain of in the
expression.
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