Exam 8: Systems of Linear Equations and Inequalities
Exam 1: Functions and Their Graphs137 Questions
Exam 2: Polynomial and Rational Functions141 Questions
Exam 3: Exponential and Logarithmic Functions137 Questions
Exam 4: Trigonometric Functions of Angles261 Questions
Exam 5: Trigonometric Functions of Real Numbers151 Questions
Exam 6: Analytic Trigonometry267 Questions
Exam 7: Vectors, the Complex Plane, and Polar Coordinates225 Questions
Exam 8: Systems of Linear Equations and Inequalities181 Questions
Exam 9: Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations230 Questions
Exam 10: Sequences and Series124 Questions
Exam 11: Limits: A Preview to Calculus122 Questions
Exam 12: Review: Equations and Inequalities244 Questions
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Use row operations to transform the matrix to reduced row-echelon form. 

(Multiple Choice)
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Perform the row operations
on the matrix and write the resulting matrix.



(Multiple Choice)
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Starbucks Coffee sells its House Blend for $9.08 per pound and its Sumatra coffee for $13.97 per pound. How many pounds of each type of coffee did a Starbucks outlet sell in one day if the total number of pounds sold was 50 and the day's receipts totaled $674.05? Let h represent the number of pounds of House Blend and s the number of pounds of Sumatra sold. Round your answer to the nearest pound.
(Multiple Choice)
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Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solution), or dependent (infinitely many solutions).
7x + 10y - 3z = -7
-7x - 10y + 3z = 7
10x + 5y + 4z = 29
(Multiple Choice)
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Solve the system of linear equations for k, m, and n.
2k + 8m - 4n = -60
4k - 2m - 5n = 3
7k - 8m - 5n = 51
(Multiple Choice)
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Write the system of linear equations represented by the augmented matrix. Utilize the variables x, y, and z.


(Short Answer)
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Josh and Ginger decide to place $14,900 of their savings into investments. They put some in a money market account earning 5.1 % interest, some in a mutual fund that has been averaging 6.9% a year, and some in a stock that rose 9.1% last year. If they put $1,600 more in the money market than in the mutual fund and the mutual fund and stocks have the same growth in the next year as they did in the previous year, they will earn $1,006.7 in a year. How much money did they put in each of the three investments?
(Multiple Choice)
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Employ the following supply and demand equations.
Demand
Supply
Write a system of linear inequalities corresponding to the consumer surplus.


(Short Answer)
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Write the partial fraction decomposition for the given rational expression.


(Short Answer)
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Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solution), or dependent (infinitely many solutions).
-6x - 7y + 2z = 6
-7x - 7y + 4z = -1
5x + 4y - 6z = 11
(Multiple Choice)
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Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants. 

(Multiple Choice)
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Write the system of linear equations as an augmented matrix.
24x - 5y = 27
10x + 3y = -28
(Multiple Choice)
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