Exam 4: Systems of Linear Equations

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Determine whether the given point is in the solution set of the system of inequalities graphed below. Determine whether the given point is in the solution set of the system of inequalities graphed below.    Determine whether the given point is in the solution set of the system of inequalities graphed below.

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Use the graph to determine the solution to the system of equations. Use the graph to determine the solution to the system of equations.

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The difference of the two numbers is 8 and one is the opposite of the other. Find the two numbers.

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Your business baking birthday cakes has the following weekly revenue and cost equations. Your business baking birthday cakes has the following weekly revenue and cost equations.   where R represents the weekly revenue in dollars C represents the weekly cost in dollars and k cakes are baked and sold. In order to use the method of substitution to find the break-even point you set the Revenue equal to the Cost and solve the equation. where R represents the weekly revenue in dollars C represents the weekly cost in dollars and k cakes are baked and sold. In order to use the method of substitution to find the break-even point you set the Revenue equal to the Cost and solve the equation.

(True/False)
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Solve the exponential equation Solve the exponential equation   for   . Round to the nearest thousandth. for Solve the exponential equation   for   . Round to the nearest thousandth. . Round to the nearest thousandth.

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Solve the system of equations using the substitution method. Solve the system of equations using the substitution method.

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Graph the solution set for the system of inequalities. Graph the solution set for the system of inequalities.    Graph the solution set for the system of inequalities.

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Solve the system using the elimination method. Solve the system using the elimination method.

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If the coefficients of a variable are opposites in the two equations in a system you add together the two equations when you solve by the method of elimination.

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Use the graph to determine the solution to the system of equations. Use the graph to determine the solution to the system of equations.

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Graph the solution set for the system of inequalities. Graph the solution set for the system of inequalities.    Graph the solution set for the system of inequalities.

(Essay)
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When you find the solution set for a linear inequality by graphing the line should be dashed if the inequality includes the When you find the solution set for a linear inequality by graphing the line should be dashed if the inequality includes the   or   sign. or When you find the solution set for a linear inequality by graphing the line should be dashed if the inequality includes the   or   sign. sign.

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For the exponential model For the exponential model   what is the instantaneous growth or decay rate. what is the instantaneous growth or decay rate.

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Test to determine whether the given point is in the solution set of the system of inequalities. Test to determine whether the given point is in the solution set of the system of inequalities.    Test to determine whether the given point is in the solution set of the system of inequalities.

(Multiple Choice)
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The solution set of linear inequalities is the __________ of the solution sets of the individual inequalities in the system.

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The pH of tomatoes is normally in the range of 4.1-4.4. If the pH of tomatoes is too high nutrient deficiencies and toxicity will occur. Tomatoes from a local grocery store have a pH of 4.2. What is the hydrogen ion concentration for the tomatoes from this store?

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Write the linear inequality for the given graph. Write the linear inequality for the given graph.

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Is the point Is the point   in the solution set of   ? in the solution set of Is the point   in the solution set of   ? ?

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A system of linear equations is a set of at least __________ linear equations.

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Graph the solution set for the system of inequalities. Graph the solution set for the system of inequalities.    Graph the solution set for the system of inequalities.

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