1.   Solve the system of equations by graphing.


    A. (2, -6) B. (2, 6)
    C. (6, 2) D. (-6, 2)
    Hint

  2.   Solve the system of equations by using substitution.


    A. (5, 11) B. (4, 9)
    C. (1, 3) D. (3, 7)
    Hint

  3.   Solve the system of equations by using the elimination method.


    A. (4, 2) B. (2, 3)
    C. (12, -2) D. (34, -13)
    Hint

  4.   What is the solution of the system of inequalities?


   
    A. region 3 B. region 2
    C. D. region 1
    Hint

  5.   A feasible region has vertices at (4, 6), (-2, 3), (2, -2), and (3, 1). At which point is the maximum value of the function f(x, y) = 2x + y?
    A. f(3, 1) B. f(4, 6)
    C. f(2, -2) D. f(-2, 3)
    Hint

  6.   Find the minimum value of f(x, y) = 4x - 2y for the polygonal region determined by the feasible region.
   
    A. -28 B. 14
    C. -14 D. 27
    Hint

  7.   A graph of a system of three linear equations in three variables is shown below. How many solutions does the system have?
   
    A. infinite number B. 1
    C. 0 D. 2
    Hint

  8.   Which of the following systems of equations is inconsistent?
    A. 3y + 2x = 13 6y + 4x = 3
    B. y = 7x – 2 y = –2x – 5
    C. y = 2x – 3 y = –3x + 4
    D. 4yx = 12 3y – 2x = 1
    Hint

  9.   Which point is not in the solution set of
    A. (14, –3) B. (9, –1)
    C. (1, –1) D. (6, 1)
    Hint

  10.   What is true about a system of equations in three variables that has 1 solution?
    A. planes intersect in one line B. planes intersect in one point
    C. planes have no points in common D. planes intersect in the same plane
    Hint



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