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 ![mc001-1.jpg](chapter_5_pre_test_files/mc001-1.jpg) .
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2.
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Simplify the expression ![mc002-1.jpg](chapter_5_pre_test_files/mc002-1.jpg) . 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. ![mc003-1.jpg](chapter_5_pre_test_files/mc003-1.jpg)
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4.
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Use rules of exponents to simplify the expression ![mc004-1.jpg](chapter_5_pre_test_files/mc004-1.jpg) using only
positive exponents. (Assume that ![mc004-2.jpg](chapter_5_pre_test_files/mc004-2.jpg) )
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5.
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Write ![mc005-1.jpg](chapter_5_pre_test_files/mc005-1.jpg) in scientific notation.
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6.
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In 2005, suppose the population of the United States was approximately ![mc006-1.jpg](chapter_5_pre_test_files/mc006-1.jpg) people. The land area of the United States is approximately ![mc006-2.jpg](chapter_5_pre_test_files/mc006-2.jpg) 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 ![mc008-1.jpg](chapter_5_pre_test_files/mc008-1.jpg) .
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9.
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Find the sum of the polynomials. ![mc009-1.jpg](chapter_5_pre_test_files/mc009-1.jpg)
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10.
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Find the difference of the polynomials. ![mc010-1.jpg](chapter_5_pre_test_files/mc010-1.jpg)
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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 ![mc012-1.jpg](chapter_5_pre_test_files/mc012-1.jpg) and the number of males born
in the city can be modeled by ![mc012-2.jpg](chapter_5_pre_test_files/mc012-2.jpg) . The variable t represents the number
of years since 2000, that is, ![mc012-3.jpg](chapter_5_pre_test_files/mc012-3.jpg) . 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: ![mc013-1.jpg](chapter_5_pre_test_files/mc013-1.jpg)
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14.
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Multiply ![mc014-1.jpg](chapter_5_pre_test_files/mc014-1.jpg) and simplify.
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15.
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Use a special product pattern to find the product ![mc015-1.jpg](chapter_5_pre_test_files/mc015-1.jpg) .
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16.
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Use the identity ![mc016-1.jpg](chapter_5_pre_test_files/mc016-1.jpg) to find the product ![mc016-2.jpg](chapter_5_pre_test_files/mc016-2.jpg) .
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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 ![mc017-1.jpg](chapter_5_pre_test_files/mc017-1.jpg) . 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 ![mc018-1.jpg](chapter_5_pre_test_files/mc018-1.jpg) . Find this product.
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19.
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Divide ![mc019-1.jpg](chapter_5_pre_test_files/mc019-1.jpg) . Assume the denominator is nonzero.
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20.
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Divide ![mc020-1.jpg](chapter_5_pre_test_files/mc020-1.jpg) . Assume the denominator is nonzero.
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