Exam 5: Exponents and Polynomials

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Write a system of equations for the problem, and then solve the system. -The two largest oil spills together released 294 million gallons of oil into the oceans. The smaller of the two released 54 million gallons less than the larger of the two. How many million gallons did the largest and the smallest oil spills release?

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Graph the solution of the system. -2x + 3y \le 6 X - y \le 3 Y \le 2  Graph the solution of the system. -2x + 3y  \le 6 X - y  \le  3 Y \le  2

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Write the word or phrase that best completes each statement or answers the question. -While using the elimination method, if the following occurs, what can you say about the graph of the system of equations? 3x - 7y = 8 - 3x + 7y = -8 0 = 0

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The equations have the same graph.

Write a system of equations for the problem, and then solve the system. -A boat travels 36 miles downstream in 4 hours and returns upstream in 12 hours. Find the rate of the speed of the current and the speed of the boat in still water if x = the speed of the boat in still water and Write a system of equations for the problem, and then solve the system. -A boat travels 36 miles downstream in 4 hours and returns upstream in 12 hours. Find the rate of the speed of the current and the speed of the boat in still water if x = the speed of the boat in still water and    Write a system of equations for the problem, and then solve the system. -A boat travels 36 miles downstream in 4 hours and returns upstream in 12 hours. Find the rate of the speed of the current and the speed of the boat in still water if x = the speed of the boat in still water and

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Without graphing, tell if the system is inconsistent, the equations are dependent, or neither. -x + y = -5 2x - 2y = -5

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Graph the solution of the system. -2x + 3y \le 6 X - y \ge 3 X \ge 1  Graph the solution of the system. -2x + 3y  \le  6 X - y  \ge  3 X \ge  1

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Choose the one alternative that best completes the statement or answers the question. Solve by the substitution method. -6x + 6y = 6 -3x - 3y = -3

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Graph the solution of the system. --x + 5y < 15 X \ge -1  Graph the solution of the system. --x + 5y < 15 X  \ge  -1

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Find the equations of the system shown on the graphing calculator screen. -Find the equations of the system shown on the graphing calculator screen. -

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Solve the problem by using a system of equations. -A chemist has a 64% solution of alcohol to mix with a 86% solution to get 110 L of a final mixture that is 80% alcohol. How much of each of the original solutions should he use?

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Graph the solution of the system. -2x + 3y \ge 6 X - y \ge 3 X \ge 1  Graph the solution of the system. -2x + 3y  \ge  6 X - y \ge  3 X  \ge  1

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Graph the solution of the system. -3x - y \le -9 X + 2y \ge -6  Graph the solution of the system. -3x - y  \le  -9 X + 2y  \ge  -6

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Solve the system by graphing. -x - y = 4 X + y = 10 Solve the system by graphing. -x - y = 4 X + y = 10

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Write a system of equations for the problem, and then solve the system. -A store sells televisions for $360 and video cassette recorders for $270. At the beginning of the week its entire stock is worth Write a system of equations for the problem, and then solve the system. -A store sells televisions for $360 and video cassette recorders for $270. At the beginning of the week its entire stock is worth   During the week it sells three quarters of the televisions and one third of the video cassette recorders for a total of   How many televisions and video cassette recorders did it have in its stock at the beginning of the week? During the week it sells three quarters of the televisions and one third of the video cassette recorders for a total of Write a system of equations for the problem, and then solve the system. -A store sells televisions for $360 and video cassette recorders for $270. At the beginning of the week its entire stock is worth   During the week it sells three quarters of the televisions and one third of the video cassette recorders for a total of   How many televisions and video cassette recorders did it have in its stock at the beginning of the week? How many televisions and video cassette recorders did it have in its stock at the beginning of the week?

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Choose the one alternative that best completes the statement or answers the question. Decide whether or not the ordered pair is a solution of the system. -( -3, 6) X + y = 9 X - y = -3

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Find the equations of the system shown on the graphing calculator screen. - Find the equations of the system shown on the graphing calculator screen. -

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Provide an appropriate response. -Decide whether the elimination method or the substitution method involves the least amount of work. Do not solve. X + 8y = 0 X - 8y = 112

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The graphing calculator screens show a system and the point of intersection. Choose the screen which best represents the given system. -2x - 3y = 3 3x - 2y + 3 = 0

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Decide whether the ordered pair is a solution of the system. -( Decide whether the ordered pair is a solution of the system. -(   , -   ) y + 5x = -2 x + y = -17 , - Decide whether the ordered pair is a solution of the system. -(   , -   ) y + 5x = -2 x + y = -17 ) y + 5x = -2 x + y = -17

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Graph the solution of the system. -2x + 3y \ge 6 X - y \le 3 X \ge 1  Graph the solution of the system. -2x + 3y \ge  6 X - y  \le  3 X  \ge  1   _____ _____

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