Exam 8: Systems of Equations and Inequalities

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Find the unknowns on the right side of the partial fraction decomposition. -Find the unknowns on the right side of the partial fraction decomposition. -

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Graph the linear inequality. -Graph the linear inequality. -

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Provide an appropriate response. -Consider the linear equation in three variables x - y + z = 4. Find a pair of linear equations that, when considered together with the given equation, will form a system having infinitely many solutions.

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Answers will vary. (One example: 3x - 3y + 3z = 12 and 3x + 2y - 3z = 5)

Solve the system. -Solve the system. -

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Solve the system of equations. -3x - y + 8z = 25 8x + 5y + 2z = 24 -5x - 7y + z = -16

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Graph the linear inequality. -Graph the linear inequality. -

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Solve the problem. -A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires 1 black, 2 white, and 1 red. C requires 2 black, 1 white, and 2 red. They used 100 black, 110 white and 90 red wires. How Many of each cable were made?

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Find the ordered triple that belongs to the set. -{x, x + 4, x - 7|x = 1}

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Solve the system by substitution. -0.02x + 0.01y = -0.01 -0.01x + y = 3.02

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Find the unknowns on the right side of the partial fraction decomposition. -Find the unknowns on the right side of the partial fraction decomposition. -

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Select the graph that represents the given equation. -x + y + z = 6

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Find the unknowns on the right side of the partial fraction decomposition. -Find the unknowns on the right side of the partial fraction decomposition. -

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Graph the solution set of the system. -Graph the solution set of the system. -

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Solve the system. -Solve the system. -  x + y = 7 x + y = 7

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Graph the inequality. -Graph the inequality. -

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Determine whether the given point is in the solution set to the given system. -Determine whether the given point is in the solution set to the given system. -  9x + 6y + 9z = 5 6x + 3y - 3z = 14 X - y + 2z = -3 9x + 6y + 9z = 5 6x + 3y - 3z = 14 X - y + 2z = -3

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For the given pair of points, find the equation of the line y = ax + b that goes through the points by solving a system of equations. -(2, -1) and (-5, 6)

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Solve the system by graphing. -3x + y = -11 3x + 5y = 5 Solve the system by graphing. -3x + y = -11 3x + 5y = 5

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Use a graphing calculator to graph the system of inequalities. -Use a graphing calculator to graph the system of inequalities. -

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Find the unknowns on the right side of the partial fraction decomposition. -Find the unknowns on the right side of the partial fraction decomposition. -

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