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 value of  .
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2.
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Replace (?) by an appropriate exponent that makes the statement true.
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3.
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Use rules of exponents to simplify the expression  using only
positive exponents. (Assume that  )
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4.
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Write  in scientific notation.
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5.
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Write  in decimal notation.
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6.
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Determine which of the following expressions are polynomials. a. | expression III | b. | expressions I and III | c. | expressions II and
III | d. | expression I | e. | expression II |
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7.
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Find the sum  .
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8.
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Find the difference  .
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9.
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Find the difference  .
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10.
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Find the difference  .
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11.
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Perform the indicated operations and simplify. 
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12.
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Find an expression for the area of the figure. Assume all angles are right
angles.
6x |
15x
7.5x |
3x | | | |
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13.
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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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14.
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Multiply: 
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15.
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Multiply the polynomials and simplify. 
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16.
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Use a special product pattern to find the product  .
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17.
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Perform the multiplication  and simplify.
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18.
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Divide: 
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19.
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Simplify the expression  . Assume all denominators
are nonzero.
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20.
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A child has a large bag of candy when his older brother arrives to divide the
candy. The older brother makes two piles and each time he hands out the candy he places 6 pieces on
his pile while he places 5 pieces on his younger brother's pile. He does this t times.
Before the older brother had arrived, the younger brother had put 2 pieces of candy in his pocket.
After the candy is handed out, the younger brother and older brother have  and  pieces of candy, respectively, so that the ratio of the number of pieces of candy the
older brother has to that of his brother is given by  . Complete the table to
determine what happens to this ratio as t increases. a. | The ratio appears to approach 0.8 as t increases. | b. | The ratio appears to
approach 1.2 as t increases. | c. | The ratio appears to approach 1 as t
increases. | d. | The ratio appears to approach 2.4 as t increases. | e. | The ratio decreases
as t increases. |
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