Exam 4: Systems of Linear Equations

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

(Multiple Choice)
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Graphically determine the solution to the system of equations. Clearly label and scale all graphs. Identify the system as consistent or inconsistent. Graphically determine the solution to the system of equations. Clearly label and scale all graphs. Identify the system as consistent or inconsistent.    Graphically determine the solution to the system of equations. Clearly label and scale all graphs. Identify the system as consistent or inconsistent.

(Essay)
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You just inherited $15000. You are willing to invest up to the entire amount. The plan is to invest some of it in a bond fund that yields 5% per year and the rest of the invested amount in a stock fund that yields 8% per year. You want at least $900 in investment income per year. Let b be the amount you invest in the bond fund and let s be the amount that you invest in the stock fund. Is You just inherited $15000. You are willing to invest up to the entire amount. The plan is to invest some of it in a bond fund that yields 5% per year and the rest of the invested amount in a stock fund that yields 8% per year. You want at least $900 in investment income per year. Let b be the amount you invest in the bond fund and let s be the amount that you invest in the stock fund. Is   in the solution set of this system of inequalities? in the solution set of this system of inequalities?

(Multiple Choice)
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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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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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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.

(Multiple Choice)
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To graph an inequality of the form To graph an inequality of the form   a __________ line is used. a __________ line is used.

(Short Answer)
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You need to mix a 20% saline solution with a 36% saline solution to make a 30% saline solution. You need a total of 16 ounces in the mix. How many ounces of the 20% saline solution and the 36% saline solution should you use?

(Essay)
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Solve the system of equations using the substitution method. Solve the system of equations using the substitution method.

(Multiple Choice)
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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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Graph the solution set of the linear inequality. Graph the solution set of the linear inequality.    Graph the solution set of the linear inequality.

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You have $5000 to invest. Part of the money will be invested in a CD earning 2% simple interest and the rest in a bond fund earning 3% interest. In one year you will earn $122.50 in interest. How much did you invest in each account?

(Short Answer)
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As a first step in solving the system by the method of elimination you multiply the first equation by 5 and the second equation by 2. As a first step in solving the system by the method of elimination you multiply the first equation by 5 and the second equation by 2.   Your result is   . Is this correct? Your result is As a first step in solving the system by the method of elimination you multiply the first equation by 5 and the second equation by 2.   Your result is   . Is this correct? . Is this correct?

(Multiple Choice)
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For the system For the system   is   a solution to the system? is For the system   is   a solution to the system? a solution to the system?

(Multiple Choice)
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As a first step in solving the system by the method of elimination you add together the two equations. As a first step in solving the system by the method of elimination you add together the two equations.   Your resulting equation is   . Is this a true statement? Your resulting equation is As a first step in solving the system by the method of elimination you add together the two equations.   Your resulting equation is   . Is this a true statement? . Is this a true statement?

(Multiple Choice)
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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.

(Multiple Choice)
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A system of linear equations is __________ if it has no solutions.

(Short Answer)
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Which one of the following graphs represents the function Which one of the following graphs represents the function   ? ?

(Multiple Choice)
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Evaluate the expression Evaluate the expression   . Round to the nearest thousandth. . Round to the nearest thousandth.

(Multiple Choice)
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You have $15000 to invest. Part of the money will be invested in a CD earning 2.5% simple interest and the rest in a bond fund earning 4% interest. In one year you will earn $536.25 in interest. How much did you invest in each account?

(Short Answer)
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