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Exam 8: Systems of Equations and Inequalities

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Question 221

Multiple Choice

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Write the augmented matrix for the system. -

A)
B)
C)
D)

E) B) and C)
F) None of the above

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Question 222

Multiple Choice

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Use a graphing utility to solve the system of equations. Express the solution rounded to two decimal places. -

A) x = -1.37, y = 2.14 or (-1.37, 2.14)
B) x = 2.14, y = 1.37 or (2.14, 1.37)
C) x = 1.37, y = 2.14 or (1.37, 2.14)
D) x = 2.14, y = -1.37 or (2.14, -1.37)

E) B) and C)
F) A) and B)

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Question 223

Multiple Choice

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Graph the system of inequalities. -

Write the word or phrase that best completes each statement or answers the question. -A summer camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The averagemonthly salary of a counselor is $2400 and the average monthly salary of an aide is $1100. The camp canaccommodate up to 45 staff members and needs at least 30 to run properly. They must have at least 10aides, and may have up to 3 aides for every 2 counselors. How many counselors and how many aidesshould the camp hire to minimize cost?

Graph the system of inequalities. -

Write the word or phrase that best completes each statement or answers the question. -

Solve the system of equations using matrices (row operations) . If the system has no solution, say that it is inconsistent. -

Find the value of the determinant. -