Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Simplify the expression  .
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2.
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Simplify the expression  . Assume that neither
u nor v is zero.
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3.
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Replace (?) by an appropriate exponent that makes the statement true. Assume
that neither x nor y is 0. 
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4.
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Use rules of exponents to simplify the expression  using only
positive exponents. (Assume that  )
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5.
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Write  in scientific notation.
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6.
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In 2005, suppose the population of the United States was approximately  people. The land area of the United States is approximately  square miles.
On average, how much land could be allocated to each person? a. |  square mile per person | b. | 
square mile per person | c. |  square mile per
person | d. |  square mile per person | e. | 
square mile per person |
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7.
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Which of the following polynomials is a binomial of degree 3?
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8.
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Find the sum  .
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9.
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Find the sum of the polynomials. 
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10.
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Find the difference of the polynomials. 
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11.
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Find an expression for the perimeter of the figure. Assume all angles are right
angles. 
9z |
27z | | |
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12.
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Let F represent the number of female babies born in a certain city and
M the number of male babies born in the same city. For the years 2000 to 2006 the number of
females born in this city each year can be modeled by  and the number of males born
in the city can be modeled by  . The variable t represents the number
of years since 2000, that is,  . Add the polynomials to find a model for the
total number of babies born in this city for the years 2000 to 2006.
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13.
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Multiply: 
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14.
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Multiply  and simplify.
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15.
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Use a special product pattern to find the product  .
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16.
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Use the identity  to find the product  .
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17.
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When a clothing manufacturer sells x units of clothing, the revenue
R (in dollars) is given by  . Find the revenue generated if 95 units are
sold and determine whether revenue will increase or decrease if more units were sold.
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18.
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After 2 years, an investment of $1500 compounded annually at interest rate
r will yield  . Find this product.
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19.
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Divide  . Assume the denominator is nonzero.
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20.
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Divide  . Assume the denominator is nonzero.
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