[
  {
    "Question": "Which of the following graphs represents the solution to the system of inequalities: y > 2x + 1 and y ≤ -x + 4?",
    "Answer": "C",
    "Explanation": "The solution region is where the shaded areas of both inequalities overlap. The line y = 2x + 1 is dashed because the inequality is strict (y > 2x + 1), while y = -x + 4 is solid because it includes the line (y ≤ -x + 4).",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/5/5a/Linear_inequalities.svg/1024px-Linear_inequalities.svg.png",
    "OptionA": "Region above both lines",
    "OptionB": "Region below both lines",
    "OptionC": "Region between the lines",
    "OptionD": "Region outside both lines",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Systems of Inequalities",
    "Content Type": "Mathematics",
    "Title": "Graphing Systems of Inequalities",
    "Item": 1,
    "Type": "multiple choice",
    "Path": "Algebra/Systems of Inequalities"
  },
  {
    "Question": "If the system of inequalities is y < 3x - 2 and y > -x + 1, which point is a solution?",
    "Answer": "B",
    "Explanation": "To find a solution, substitute the point into both inequalities. Point (1, 2) satisfies both y < 3(1) - 2 and y > -1 + 1.",
    "PictureURL": "",
    "OptionA": "(0, 0)",
    "OptionB": "(1, 2)",
    "OptionC": "(2, 5)",
    "OptionD": "(3, 0)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Systems of Inequalities",
    "Content Type": "Mathematics",
    "Title": "Finding Solutions to Systems of Inequalities",
    "Item": 2,
    "Type": "multiple choice",
    "Path": "Algebra/Systems of Inequalities"
  },
  {
    "Question": "Which inequality represents the shaded region below the line y = -2x + 3?",
    "Answer": "A",
    "Explanation": "The shaded region below the line y = -2x + 3 is represented by y < -2x + 3.",
    "PictureURL": "",
    "OptionA": "y < -2x + 3",
    "OptionB": "y > -2x + 3",
    "OptionC": "y ≤ -2x + 3",
    "OptionD": "y ≥ -2x + 3",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Systems of Inequalities",
    "Content Type": "Mathematics",
    "Title": "Interpreting Inequalities",
    "Item": 3,
    "Type": "multiple choice",
    "Path": "Algebra/Systems of Inequalities"
  },
  {
    "Question": "What is the solution region for the system of inequalities y ≥ x + 2 and y < -2x + 5?",
    "Answer": "D",
    "Explanation": "The solution region is the area where the shaded regions of y ≥ x + 2 and y < -2x + 5 overlap.",
    "PictureURL": "",
    "OptionA": "Above both lines",
    "OptionB": "Below both lines",
    "OptionC": "To the left of both lines",
    "OptionD": "Between the lines",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Systems of Inequalities",
    "Content Type": "Mathematics",
    "Title": "Solution Regions",
    "Item": 4,
    "Type": "multiple choice",
    "Path": "Algebra/Systems of Inequalities"
  },
  {
    "Question": "Which point is NOT a solution to the system of inequalities y ≤ 2x + 1 and y > x - 3?",
    "Answer": "C",
    "Explanation": "Point (0, -4) does not satisfy y > x - 3 because -4 is not greater than -3.",
    "PictureURL": "",
    "OptionA": "(1, 2)",
    "OptionB": "(2, 3)",
    "OptionC": "(0, -4)",
    "OptionD": "(3, 5)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Systems of Inequalities",
    "Content Type": "Mathematics",
    "Title": "Testing Points in Systems of Inequalities",
    "Item": 5,
    "Type": "multiple choice",
    "Path": "Algebra/Systems of Inequalities"
  },
  {
    "Question": "Which of the following systems of inequalities has no solution?",
    "Answer": "B",
    "Explanation": "The system y > 2x + 3 and y < 2x + 1 has no solution because the lines are parallel and the regions do not overlap.",
    "PictureURL": "",
    "OptionA": "y > x + 1 and y < -x + 5",
    "OptionB": "y > 2x + 3 and y < 2x + 1",
    "OptionC": "y ≤ -x + 4 and y ≥ x - 2",
    "OptionD": "y < 3x - 1 and y > -x + 2",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Systems of Inequalities",
    "Content Type": "Mathematics",
    "Title": "Identifying Systems with No Solution",
    "Item": 6,
    "Type": "multiple choice",
    "Path": "Algebra/Systems of Inequalities"
  },
  {
    "Question": "Which inequality represents the shaded region above the line y = 0.5x - 1?",
    "Answer": "B",
    "Explanation": "The shaded region above the line y = 0.5x - 1 is represented by y > 0.5x - 1.",
    "PictureURL": "",
    "OptionA": "y < 0.5x - 1",
    "OptionB": "y > 0.5x - 1",
    "OptionC": "y ≤ 0.5x - 1",
    "OptionD": "y ≥ 0.5x - 1",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Systems of Inequalities",
    "Content Type": "Mathematics",
    "Title": "Interpreting Inequalities",
    "Item": 7,
    "Type": "multiple choice",
    "Path": "Algebra/Systems of Inequalities"
  },
  {
    "Question": "For the system of inequalities y ≤ -x + 3 and y ≥ 2x - 1, what is the shape of the solution region?",
    "Answer": "C",
    "Explanation": "The solution region is a triangle formed by the intersection of the two lines and the axes.",
    "PictureURL": "",
    "OptionA": "Rectangle",
    "OptionB": "Circle",
    "OptionC": "Triangle",
    "OptionD": "Parallelogram",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Systems of Inequalities",
    "Content Type": "Mathematics",
    "Title": "Shapes of Solution Regions",
    "Item": 8,
    "Type": "multiple choice",
    "Path": "Algebra/Systems of Inequalities"
  },
  {
    "Question": "Which of the following points lies in the solution region for the system y < x + 4 and y > -2x - 1?",
    "Answer": "A",
    "Explanation": "Point (0, 0) satisfies both y < x + 4 and y > -2x - 1.",
    "PictureURL": "",
    "OptionA": "(0, 0)",
    "OptionB": "(5, 5)",
    "OptionC": "(-3, -3)",
    "OptionD": "(2, 6)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Systems of Inequalities",
    "Content Type": "Mathematics",
    "Title": "Identifying Points in Solution Regions",
    "Item": 9,
    "Type": "multiple choice",
    "Path": "Algebra/Systems of Inequalities"
  },
  {
    "Question": "What type of line is used to graph the inequality y > 3x - 2?",
    "Answer": "A",
    "Explanation": "A dashed line is used because the inequality is strict (y > 3x - 2), meaning the line itself is not included in the solution.",
    "PictureURL": "",
    "OptionA": "Dashed line",
    "OptionB": "Solid line",
    "OptionC": "Dotted line",
    "OptionD": "Bold line",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Systems of Inequalities",
    "Content Type": "Mathematics",
    "Title": "Graphing Inequalities",
    "Item": 10,
    "Type": "multiple choice",
    "Path": "Algebra/Systems of Inequalities"
  },
  {
    "Question": "Which system of inequalities is represented by the shaded region below the line y = x + 1 and above the line y = -x + 2?",
    "Answer": "C",
    "Explanation": "The region below y = x + 1 is represented by y < x + 1, and the region above y = -x + 2 is represented by y > -x + 2.",
    "PictureURL": "",
    "OptionA": "y > x + 1 and y < -x + 2",
    "OptionB": "y ≤ x + 1 and y ≥ -x + 2",
    "OptionC": "y < x + 1 and y > -x + 2",
    "OptionD": "y ≥ x + 1 and y ≤ -x + 2",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Systems of Inequalities",
    "Content Type": "Mathematics",
    "Title": "Interpreting Systems of Inequalities",
    "Item": 11,
    "Type": "multiple choice",
    "Path": "Algebra/Systems of Inequalities"
  },
  {
    "Question": "Which of the following is the correct graph for the system of inequalities y ≥ 2x - 3 and y < -x + 4?",
    "Answer": "D",
    "Explanation": "The solution region is where the shaded areas of both inequalities overlap. The line y = 2x - 3 is solid because it includes the line (y ≥ 2x - 3), while y = -x + 4 is dashed because the inequality is strict (y < -x + 4).",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/5/5a/Linear_inequalities.svg/1024px-Linear_inequalities.svg.png",
    "OptionA": "Region above both lines",
    "OptionB": "Region below both lines",
    "OptionC": "Region to the left of both lines",
    "OptionD": "Region between the lines",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Systems of Inequalities",
    "Content Type": "Mathematics",
    "Title": "Graphing Systems of Inequalities",
    "Item": 12,
    "Type": "multiple choice",
    "Path": "Algebra/Systems of Inequalities"
  },
  {
    "Question": "Which inequality represents the shaded region to the right of the line x = 4?",
    "Answer": "B",
    "Explanation": "The shaded region to the right of the line x = 4 is represented by x > 4.",
    "PictureURL": "",
    "OptionA": "x < 4",
    "OptionB": "x > 4",
    "OptionC": "x ≤ 4",
    "OptionD": "x ≥ 4",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Systems of Inequalities",
    "Content Type": "Mathematics",
    "Title": "Interpreting Vertical Inequalities",
    "Item": 13,
    "Type": "multiple choice",
    "Path": "Algebra/Systems of Inequalities"
  },
  {
    "Question": "Which of the following points is a solution to the system y ≤ 0.5x + 2 and y > -x - 1?",
    "Answer": "A",
    "Explanation": "Point (2, 1) satisfies both y ≤ 0.5(2) + 2 and y > -2 - 1.",
    "PictureURL": "",
    "OptionA": "(2, 1)",
    "OptionB": "(4, 4)",
    "OptionC": "(0, -2)",
    "OptionD": "(-3, 0)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Systems of Inequalities",
    "Content Type": "Mathematics",
    "Title": "Testing Points in Systems of Inequalities",
    "Item": 14,
    "Type": "multiple choice",
    "Path": "Algebra/Systems of Inequalities"
  },
  {
    "Question": "What is the solution region for the system of inequalities y > x - 1 and y < 2x + 3?",
    "Answer": "D",
    "Explanation": "The solution region is the area where the shaded regions of y > x - 1 and y < 2x + 3 overlap.",
    "PictureURL": "",
    "OptionA": "Above both lines",
    "OptionB": "Below both lines",
    "OptionC": "To the left of both lines",
    "OptionD": "Between the lines",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Systems of Inequalities",
    "Content Type": "Mathematics",
    "Title": "Solution Regions",
    "Item": 15,
    "Type": "multiple choice",
    "Path": "Algebra/Systems of Inequalities"
  }
]