1.   What is true about the system and
    A. The system is consistent and dependent.
    B. The system is inconsistent.
    C. The system has infinitely many solutions.
    D. The system is consistent and independent.
    Hint

  2.   Use the substitution method to solve m - n = 7 and 3m + 2n = 6.
    A. B. (-5, 2)
    C. (4, -3) D. (-3, -10)
    Hint

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


   
    A. region 4 B. region 1
    C. region 3 D. region 2
    Hint

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

  5.   Selena has 31 days to complete her quilt for the county fair. The blue squares in the quilt can be sewn at a rate of 4 squares per day, and the white squares at a rate of 7 squares per day. The quilt can have up to 96 squares total. The blue fabric b costs about $0.80 per square and the white fabric w costs about $1.20 per square. Selena wants to keep costs at a minimum. Write the function that describes the cost of the quilt.
    A. f(b, w) = 4b + 7w
    B. 96 = 0.80b + 1.20w
    C. f(b, w) = 0.80b + 1.20w
    D. 96 = 4b + 7w
    Hint

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

  7.   Which of the following systems of equations is not consistent and independent?
    A. 7y + x = 9 3y + 9x = 4
    B. y – 5x = 1 4y + 3x = 8
    C. 2y + 4x = 3 7y + 5x = 18
    D. y + 4x = 10 6y + 24x = 60
    Hint

  8.   Which is true for the following system of equations?

3x - y = 1
x + 2y = 7.
    A. cannot be determined from information given B. y > x
    C. y < x D. y = x
    Hint

  9.   Which graph represents the following system:
    A. B.
    C. D.
    Hint

  10.   What are the solutions to the system y + 2x – 5z = 4, –2y – 4x + 10z = 8, 3y + x – 3z = 5?
    A. infinite B. (2, 2, 1)
    C. (2, 2, –2) D. no solution
    Hint



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