Exam 4: Systems of Linear Equations

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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?

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

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The mass of bacteria in a Petri dish is 56 micrograms. After 3 hours the bacteria's mass as increased to 164 micrograms. How long will it take for the population to quadruple?

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You have a total of $8000 in student loan debt from two different semesters. If n of it is debt from the first semester You have a total of $8000 in student loan debt from two different semesters. If n of it is debt from the first semester   is debt from the second semester. is debt from the second semester.

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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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Find Find   . .

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

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On August 21 2009 the World Health Organization announced its prediction that the number of new cases of H1N1 (swine flu) virus would double every 5 days for several months. As of July 27 2009 the number of new cases was 26116. Which one of the following exponential functions model the growth of this virus?

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Which one of the following is the correct expansion of the logarithm expression Which one of the following is the correct expansion of the logarithm expression   ? ?

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Using the graph below determine Using the graph below determine   .  . Using the graph below determine   .

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The graph below shows the solution set to an inequality. Is the point The graph below shows the solution set to an inequality. Is the point   in the solution set?  in the solution set? The graph below shows the solution set to an inequality. Is the point   in the solution set?

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You bought snacks on two different days. The first day you bought 2 candy bars and 3 cups of coffee for a total of $6. The second day you bought 5 candy bars and 3 cups of coffee for a total of $8.70. How much does each candy bar and cup of coffee cost individually?

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You need to work two part-time jobs. The job in the Math Lab pays $8 per hour. The job tutoring high school students pays $20 per hour. You work 22 hours per week and make $230 from the two jobs. How many hours do you work at each job?

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Two angles are complementary. One angle has a measure of 36°. Find the measure of the other angle.

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Two functions and are given by the tables below. Determine . Two functions and are given by the tables below. Determine .

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If $49000 is invested at an interest rate of 2.5% per year find the amount of the investment at the end of 20 years if the money is compounded monthly. Round to the nearest hundredth.

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Which one of the following graphs represents the function Which one of the following graphs represents the function   ? ?

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Use the Change of Base Formula to evaluate the logarithm Use the Change of Base Formula to evaluate the logarithm   . Round to the nearest ten-thousandth. . Round to the nearest ten-thousandth.

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The college Jazz Band is performing and has 195 tickets to sell. Some tickets are for students going for $8 each and the rest are for general admission at $15 each. The Band would like to collect at least $2000 in ticket sales. Let s be the number of student tickets sold and let g be the number of general admission tickets sold. Write the system of linear inequalities that describes this situation and graphically solve the system of inequalities. The college Jazz Band is performing and has 195 tickets to sell. Some tickets are for students going for $8 each and the rest are for general admission at $15 each. The Band would like to collect at least $2000 in ticket sales. Let s be the number of student tickets sold and let g be the number of general admission tickets sold. Write the system of linear inequalities that describes this situation and graphically solve the system of inequalities.

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A linear inequality has infinitely many points in its solution set.

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