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Systems of linear inequalities in two variables

Quiz by Michael BALETA

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18 questions
Show answers
  • Q1
    Which of the following represents the graphical representation of a system of linear inequalities?
    single point on the plane
    shaded region in the plane
    equation of a line
    none of the above
    a
    30s
  • Q2
    What is the solution to the system of inequalities: y > 2x - 1 and y < -x + 3?
    (1, 3)
    (0, 1)
    (-2, 7)
    (0, 2)
    c
    30s
  • Q3
    Which of the following is true for a point that lies on the boundary line of a system of linear inequalities?
    it does not satisfy any of the inequalities
    it satisfies all of the inequalities
    it satisfies at least one of the inequalities
    none of the above
    b
    30s
  • Q4
    What is the solution to the system of inequalities: y > x + 2 and y > -2x + 3?
    (2, 4)
    (-2, 1)
    (2, 5)
    d
    (1, 3)
    30s
  • Q5
    Which of the following is true for a system of linear inequalities with no solution?
    the system has exactly one solution
    none of the above
    c
    the system has no solution
    the system has infinitely many solutions
    30s
  • Q6
    What is the solution to the system of inequalities: y > -x - 1 and y < x + 2?
    b
    (1, 4)
    (-2, 0)
    (-1, 1)
    (0, 3)
    30s
  • Q7
    Which of the following represents the solution set of a system of linear inequalities?
    the set of all points that satisfy all of the inequalities
    none of the above
    a single point on the plane
    b
    the equation of a line
    30s
  • Q8
    What is the solution to the system of inequalities: y < -x + 1 and y > -x - 3?
    d
    (-2, -1)
    (0, 2)
    (-2, 1)
    (1, 3)
    30s
  • Q9
    Which of the following is true for a system of linear inequalities with infinitely many solutions?
    none of the above
    a
    the system has exactly one solution
    the system has a solution set that is a bounded region
    the system has a solution set that is an unbounded region
    30s
  • Q10
    What is the solution to the system of inequalities: y < -3x + 1 and y < 2x - 3?
    (1, -1)
    (-2, -8)
    c
    (-1, -4)
    (0, -3)
    30s
  • Q11
    What is the solution set of the system -3x + 2y ≥ 6, 2x + y < 4?
    (3,0)
    (-3,0)
    (3,0)
    (0,3)
    30s
  • Q12
    What is the slope of the line 2x - 4y = 8?
    2
    1/2
    -2
    1/2
    30s
  • Q13
    Which quadrant(s) contain solutions to the system x - y < 0, x + y > 2?
    I and III
    I only
    II and IV
    I and III
    30s
  • Q14
    What is the solution set of the system x ≥ 0, y ≥ 0, x + y > 3?
    {(x,y) | x > 0, y > -x + 3}
    {(x,y) | x > 0, y > 0}
    {(x,y) | x ≥ 0, y ≥ 0, y > -x + 3}
    {(x,y) | x ≥ 0, y ≥ 0, y > -x + 3}
    30s
  • Q15
    What is the slope of the line y = -5x + 2?
    1/5
    5
    -5
    -5
    30s

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