1.   Use Cramer's rule to find the value of x in the system of equations.


    A. B.
    C. D.
    Hint

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

  3.   Which pair of lines graphed below are parallel?
   
    A. l and m B. l and n
    C. k and m D. k and n
    Hint

  4.   Which system of equations is graphed below?
   
    A.
B.
    C.
D.
    Hint

  5.   Brenda and Amparo left their homes for their morning runs at the same time. Brenda can run a 10-minute mile and Amparo can run a 12-minute mile. Combined, they ran 15 miles in a total of 2 hours and 42 minutes (162 minutes). How many miles did each woman run?
    A. Brenda ran 8 miles; Amparo ran 7 miles B. Brenda ran 10 miles; Amparo ran 5 miles
    C. Brenda ran 9 miles; Amparo ran 6 miles D. Brenda ran 11 miles; Amparo ran 4 miles.
    Hint

  6.   Use elimination to solve the system given below.
5x - 2y = 25
5x + 3y = 5
    A. (4, -5) B.
    C. (3, -5) D. (13, 20)
    Hint

  7.   The sum of two numbers is –11. Twice the first number minus four times the second number is –10. What are the two numbers?
    A. -6, -5 B. -15, 4
    C. -9, -2 D. -8, -3
    Hint

  8.   Which is the graph of the system of equations?
x + y = 4
2x - y = 2
    A. B.
    C. D.
    Hint

  9.   Find the value of the determinant of
    A. –32 B. 2
    C. 64 D. 6
    Hint

  10.   Use substitution to solve the system of equations given by y = 2x and 5x + y = 7.
    A. (-2, -5) B. (-1, -2)
    C. (1, 2) D. (2, 5)
    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) B. (-6, 5)
    C. (-2.8, 4.6) D. (0, 3)
    Hint

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

  14.   How many ways can supplies be transferred directly to Fitchburg from other cities?
   
    A. 2 B. 4
    C. 1 D. 3
    Hint



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