Multiple Choice Identify the
choice that best completes the statement or answers the question.
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1.
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Solve the system by the method of
substitution.
![mc001-1.jpg](chapter_7_post_test_files/mc001-1.jpg)
a. | (4, 3) | b. | (4, –3) | c. | (3,
4) | d. | (–3, 4) | e. | (–4, 3) |
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2.
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Solve the system by the method of
substitution.
![mc002-1.jpg](chapter_7_post_test_files/mc002-1.jpg)
a. | (–4, –23), (5,
–14) | b. | no real
solution | c. | (–4, –25) | d. | (–4, –25), (5, –16) | e. | (–4, 15), (5, 24) |
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3.
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Use a graphing utility to solve the system of
equations. Find the solution accurate to two decimal places.
![mc003-1.jpg](chapter_7_post_test_files/mc003-1.jpg)
a. | ![mc003-2.jpg](chapter_7_post_test_files/mc003-2.jpg) | b. | ![mc003-3.jpg](chapter_7_post_test_files/mc003-3.jpg) | c. | ![mc003-4.jpg](chapter_7_post_test_files/mc003-4.jpg) | d. | ![mc003-5.jpg](chapter_7_post_test_files/mc003-5.jpg) | e. | no real solution |
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4.
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Solve the system by the method of
substitution.
![mc004-1.jpg](chapter_7_post_test_files/mc004-1.jpg)
a. | (5, 102), (3, 56), (1, 18) | b. | (5, 102), (–1, –12) | c. | (–3, –34), (1, 18) | d. | (5, 102), (–3, –34), (0, 2) | e. | no real solution |
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5.
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Find the sales necessary to break even (R
– C = 0) for the cost C of producing x units and the revenue R
obtained by selling x units. (Round to the nearest whole unit.)
![mc005-1.jpg](chapter_7_post_test_files/mc005-1.jpg)
a. | 782 units or 852 units | b. | no real solution | c. | 852
units | d. | 782 units | e. | 831 units |
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6.
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Solve the system by the method of
elimination.
![mc006-1.jpg](chapter_7_post_test_files/mc006-1.jpg)
a. | ![mc006-2.jpg](chapter_7_post_test_files/mc006-2.jpg) | b. | (dependent) | c. | ![mc006-4.jpg](chapter_7_post_test_files/mc006-4.jpg) | d. | ![mc006-5.jpg](chapter_7_post_test_files/mc006-5.jpg) | e. | inconsistent |
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7.
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Solve the system by the method of
elimination.
![mc007-1.jpg](chapter_7_post_test_files/mc007-1.jpg)
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8.
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Solve the system by the method of
elimination.
![mc008-1.jpg](chapter_7_post_test_files/mc008-1.jpg)
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9.
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Find the least squares regression line for the points
![mc009-2.jpg](chapter_7_post_test_files/mc009-2.jpg) by solving the system for a and
b.
![mc009-3.jpg](chapter_7_post_test_files/mc009-3.jpg) Points: space
a. | y = –3.47x
–4.21 | b. | y =
3.93x –4.21 | c. | y =
2.80x –3.20 | d. | y =
–2.66x +2.80 | e. | y =
–3.20x +2.80 |
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10.
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Solve the system of linear equations.
![mc010-1.jpg](chapter_7_post_test_files/mc010-1.jpg)
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11.
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Write the form of the partial fraction
decomposition of the rational expression. Do not solve for the constants.
![mc011-1.jpg](chapter_7_post_test_files/mc011-1.jpg)
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12.
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Write the partial fraction decomposition of the
rational expression.
![mc012-1.jpg](chapter_7_post_test_files/mc012-1.jpg)
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13.
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Write the partial fraction decomposition of the
rational expression.
![mc013-1.jpg](chapter_7_post_test_files/mc013-1.jpg)
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14.
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Write the partial fraction decomposition of the
improper rational expression.
![mc014-1.jpg](chapter_7_post_test_files/mc014-1.jpg)
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15.
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Use a graphing utility to graph the inequality.
Shade the region representing the solution.
![mc015-1.jpg](chapter_7_post_test_files/mc015-1.jpg)
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16.
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Write an inequality for the shaded region shown in
the figure.
![mc016-1.jpg](chapter_7_post_test_files/mc016-1.jpg)
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17.
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Sketch the graph and label the vertices of the
solution set of the system of inequalities. Shade the solution set.
![mc017-1.jpg](chapter_7_post_test_files/mc017-1.jpg)
![mc017-2.jpg](chapter_7_post_test_files/mc017-2.jpg)
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18.
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Derive a set of inequalities to describe the
region.
![mc018-1.jpg](chapter_7_post_test_files/mc018-1.jpg)
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19.
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Find the minimum and maximum values of the
objective function and where they occur, subject to the indicated constraints.
Objective function: | | | | Constraints: | | | | | |
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20.
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An investor has $150,000 to invest in two types of
investments. Type A pays 5% annually and type B pays 6% annually. To have a well-balanced portfolio,
the investor imposes the following conditions. At least one-third of the total portfolio is to be
allocated to type A investments and at least one-third of the portfolio is to be allocated to type B
investments. What is the optimal amount that should be invested in each investment?
![mc020-1.jpg](chapter_7_post_test_files/mc020-1.jpg)
a. | $150,000 in type A (5%), $0 in type B
(6%) | b. | $50,000 in type A (5%), $100,000 in type B
(6%) | c. | $100,000 in type A (5%), $50,000 in type B
(6%) | d. | $0 in type A (5%), $150,000 in type B
(6%) | e. | $60,000 in type A (5%), $90,000 in type B
(6%) |
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