1.   Use Cramer's rule to solve the system of equations.


    A. (0.2, 0.4) B. (-0.4, -0.2)
    C. (0.4, 0.2) D. (0.011, 0.0055)
    Hint

  2.   Find the determinant of
    A. -16 B. 0
    C. -21 D. -11
    Hint

  3.   Which equation has a graph perpendicular to the graph 3y = 2x - 9?
    A. 2x + 3y = 4 B. 3x + 2y = 7
    C. D. y = 2x + 5
    Hint

  4.   Three out of the four equations listed below are equations of lines that are parallel to each other. Which equation does not have a graph that is a line parallel to the other three?
    A. 8y = - 6x
    B.
    C. 3x + 4y = -16
    D.
    Hint

  5.   Graph the system of equations to determine whether it has no solution, infinitely many solutions, or one solution. If the system has one solution, name it.

    A. one solution at B. no solution
    C. infinitely many solutions D. one solution at
    Hint

  6.   Use substitution to solve the system of equations given below.
    A. infinitely many solutions B. (-10, -12)
    C. (-12, -10) D. no solution
    Hint

  7.   Use elimination to solve the system of equations shown below.
2x - 4y = -5
3x + 4y = -15
    A. B.
    C. D.
    Hint

  8.   Which system of equations is shown in the graph?
   
    A. x - y = -2
2x + y = 8
B. 3x - 2y = 8
x - 3y = -2
    C. 2x + y = 8
y - 3x = -2
D. x + 2y = 8
2x - 3y = -2
    Hint

  9.   Use substitution to solve the system of equations given by y = 2x and 5x + y = 7.
    A. (2, 5) B. (-1, -2)
    C. (-2, -5) D. (1, 2)
    Hint

  10.   Use elimination to solve the system of equations given by 3x – 2y = 10 and 5x + 2y = 6.
    A. (-2, -8) B. no solution
    C. infinitely many solutions D. (2, -2)
    Hint

  11.   Use graphing to solve the system of inequalities given by y < x + 1 and
    A. B.
    C. D.
    Hint

  12.   Which point is in the solution set of and y > -2x – 1.
    A. (-2.8, 4.6) B. (0, 3)
    C. (-2, 8) D. (-6, 5)
    Hint

  13.   Using the directed graph, how many different routes are there to get from the Boston plant to the Worcester plant in exactly two transfers?
   
    A. 3 B. 1
    C. 2 D. 4
    Hint

  14.   Using the directed graph, what is the fewest number of transfers possible to get from the Fitchburg plant to the Lowell plant?
   
    A. 1 B. 2
    C. 3 D. 0
    Hint



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