Exam 7: Systems of Linear Equations and Inequalities in Two Variables

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Solve the system by graphing: Solve the system by graphing:

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Solve the system by graphing: Solve the system by graphing:

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On average, it takes an accountant 1 hour to complete a simple tax return and 4 hours to complete a complicated return. If the accountant wants to work no more than 8 hours per day, graph an inequality that shows the possible ways that simple returns ( x ) and complicated returns ( y ) can be completed each day. Graph the inequality for nonnegative values of x and y .

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Find the solution set of the system of inequalities. Find the solution set of the system of inequalities.

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Decide whether the ordered pair Decide whether the ordered pair   is a solution of the inequality.  is a solution of the inequality. Decide whether the ordered pair   is a solution of the inequality.

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Use two equations in two variables to solve the following problem. A rancher raises five times as many cows as horses. If he has 204 animals (cows and horses only), how many cows does he have?

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The graph of a linear inequality is shown. Tell whether point The graph of a linear inequality is shown. Tell whether point   satisfies the inequality.  satisfies the inequality. The graph of a linear inequality is shown. Tell whether point   satisfies the inequality.

(True/False)
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Dry Boat Works wholesales aluminum boats for $500 and fiberglass boats for $300. Northland Marina wants to order at least $750 worth but no more than $1,500 worth of boats. Write a system of linear inequalities which describes all possible combinations of aluminum boats ( x ) and fiberglass boats ( y ) that can be ordered, graph the system of inequalities, and determine whether the ordered pairs satisfy the inequality.

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Decide whether each ordered pair is a solution of the inequality. Decide whether each ordered pair is a solution of the inequality.   Answer yes or no .   __________   __________   __________   __________ Answer yes or no . Decide whether each ordered pair is a solution of the inequality.   Answer yes or no .   __________   __________   __________   __________ __________ Decide whether each ordered pair is a solution of the inequality.   Answer yes or no .   __________   __________   __________   __________ __________ Decide whether each ordered pair is a solution of the inequality.   Answer yes or no .   __________   __________   __________   __________ __________ Decide whether each ordered pair is a solution of the inequality.   Answer yes or no .   __________   __________   __________   __________ __________

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Solve the system by graphing: Solve the system by graphing:

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