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 principal square root of ![mc001-1.jpg](chapter_9_pre_test_files/mc001-1.jpg) , if possible. Do not use a
calculator.
a. | 14 | b. | ![mc001-2.jpg](chapter_9_pre_test_files/mc001-2.jpg) | c. | ![mc001-3.jpg](chapter_9_pre_test_files/mc001-3.jpg) | d. | ![mc001-4.jpg](chapter_9_pre_test_files/mc001-4.jpg) | e. | no real roots |
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2.
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Classify the number ![mc002-1.jpg](chapter_9_pre_test_files/mc002-1.jpg) as rational or irrational.
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3.
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Classify the number ![mc003-1.jpg](chapter_9_pre_test_files/mc003-1.jpg) as rational or irrational.
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4.
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Evaluate the radical expression (if possible) without using a
calculator. ![mc004-1.jpg](chapter_9_pre_test_files/mc004-1.jpg)
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5.
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Evaluate the radical expression ![mc005-1.jpg](chapter_9_pre_test_files/mc005-1.jpg) without using a calculator.
If not possible, state the reason.
a. | ![mc005-2.jpg](chapter_9_pre_test_files/mc005-2.jpg) | b. | ![mc005-3.jpg](chapter_9_pre_test_files/mc005-3.jpg) | c. | ![mc005-4.jpg](chapter_9_pre_test_files/mc005-4.jpg) | d. | ![mc005-5.jpg](chapter_9_pre_test_files/mc005-5.jpg) | e. | not a real
number |
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6.
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Simplify the radical ![mc006-1.jpg](chapter_9_pre_test_files/mc006-1.jpg) , if possible.
a. | ![mc006-2.jpg](chapter_9_pre_test_files/mc006-2.jpg) | b. | ![mc006-3.jpg](chapter_9_pre_test_files/mc006-3.jpg) | c. | ![mc006-4.jpg](chapter_9_pre_test_files/mc006-4.jpg) | d. | ![mc006-5.jpg](chapter_9_pre_test_files/mc006-5.jpg) | e. | cannot be
simplified |
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7.
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Simplify the radical ![mc007-1.jpg](chapter_9_pre_test_files/mc007-1.jpg) , if possible.
a. | ![mc007-2.jpg](chapter_9_pre_test_files/mc007-2.jpg) | b. | 2 | c. | ![mc007-3.jpg](chapter_9_pre_test_files/mc007-3.jpg) | d. | 121 | e. | cannot be
simplified |
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8.
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The four corners are cut from a 3-foot-by- 6-foot sheet of plywood, as shown in
the figure. Find the perimeter of the remaining piece of plywood. In the figure ![mc008-1.jpg](chapter_9_pre_test_files/mc008-1.jpg) .
Round your answer to two decimal places. ![mc008-2.jpg](chapter_9_pre_test_files/mc008-2.jpg)
a. | 26.94 feet | b. | 10.24 feet | c. | 14.49
feet | d. | 21.94 feet | e. | 22.66 feet |
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9.
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Multiply and simplify. ![mc009-1.jpg](chapter_9_pre_test_files/mc009-1.jpg)
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10.
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Multiply and simplify the expression. ![mc010-1.jpg](chapter_9_pre_test_files/mc010-1.jpg)
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11.
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Multiply and simplify. ![mc011-1.jpg](chapter_9_pre_test_files/mc011-1.jpg)
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12.
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Complete the statement. ![mc012-1.jpg](chapter_9_pre_test_files/mc012-1.jpg)
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13.
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Solve ![mc013-1.jpg](chapter_9_pre_test_files/mc013-1.jpg) , if possible.
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14.
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Use the Pythagorean Theorem to find the value of x. Round your answer to
two decimal places. ![mc014-1.jpg](chapter_9_pre_test_files/mc014-1.jpg)
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15.
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Subtract ![mc015-1.jpg](chapter_9_pre_test_files/mc015-1.jpg) and write in standard form.
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16.
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Determine the values of a and b that satisfy the
equation. ![mc016-1.jpg](chapter_9_pre_test_files/mc016-1.jpg)
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17.
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Perform the operation ![mc017-1.jpg](chapter_9_pre_test_files/mc017-1.jpg) and write the result in
standard form.
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18.
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Perform the operation and write the result in standard form. ![mc018-1.jpg](chapter_9_pre_test_files/mc018-1.jpg)
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19.
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Multiply ![mc019-1.jpg](chapter_9_pre_test_files/mc019-1.jpg) by its complex conjugate and
simplify.
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20.
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Multiply ![mc020-1.jpg](chapter_9_pre_test_files/mc020-1.jpg) by its complex conjugate and
simplify.
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