[
  {
    "Question": "What is the factored form of the quadratic equation x² - 5x + 6 = 0?",
    "Answer": "B",
    "Explanation": "The quadratic factors into (x - 2)(x - 3) = 0 because 2 and 3 multiply to 6 and add to 5.",
    "PictureURL": "",
    "OptionA": "(x + 2)(x + 3)",
    "OptionB": "(x - 2)(x - 3)",
    "OptionC": "(x - 1)(x - 6)",
    "OptionD": "(x + 1)(x - 6)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations Practice Test",
    "Content Type": "Practice Question",
    "Title": "Factoring Quadratics",
    "Item": 1,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations/factoring"
  },
  {
    "Question": "Solve the quadratic equation x² + 4x + 4 = 0 by factoring.",
    "Answer": "C",
    "Explanation": "The quadratic is a perfect square: (x + 2)² = 0, so the solution is x = -2.",
    "PictureURL": "",
    "OptionA": "x = 2",
    "OptionB": "x = 4",
    "OptionC": "x = -2",
    "OptionD": "x = -4",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations Practice Test",
    "Content Type": "Practice Question",
    "Title": "Factoring Quadratics",
    "Item": 2,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations/factoring"
  },
  {
    "Question": "Complete the square for the quadratic expression x² + 6x + 5.",
    "Answer": "A",
    "Explanation": "Add and subtract (6/2)² = 9 inside the expression: x² + 6x + 9 - 9 + 5 = (x + 3)² - 4.",
    "PictureURL": "",
    "OptionA": "(x + 3)² - 4",
    "OptionB": "(x + 6)² + 5",
    "OptionC": "(x + 3)² + 4",
    "OptionD": "(x + 2)² - 1",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations Practice Test",
    "Content Type": "Practice Question",
    "Title": "Completing the Square",
    "Item": 3,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations/completing square"
  },
  {
    "Question": "What is the vertex form of y = x² - 8x + 15 after completing the square?",
    "Answer": "D",
    "Explanation": "Complete the square: x² - 8x + 16 - 16 + 15 = (x - 4)² - 1, so vertex form is y = (x - 4)² - 1.",
    "PictureURL": "",
    "OptionA": "y = (x + 4)² + 1",
    "OptionB": "y = (x - 8)² + 15",
    "OptionC": "y = (x - 4)² + 1",
    "OptionD": "y = (x - 4)² - 1",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations Practice Test",
    "Content Type": "Practice Question",
    "Title": "Completing the Square",
    "Item": 4,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations/completing square"
  },
  {
    "Question": "Using the quadratic formula, solve 2x² - 4x - 6 = 0.",
    "Answer": "B",
    "Explanation": "Quadratic formula: x = [4 ± √(16 + 48)] / 4 = [4 ± √64] / 4 = [4 ± 8] / 4. Solutions: x = 3 or x = -1.",
    "PictureURL": "",
    "OptionA": "x = 1 or x = -3",
    "OptionB": "x = 3 or x = -1",
    "OptionC": "x = 2 or x = -2",
    "OptionD": "x = 4 or x = -4",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations Practice Test",
    "Content Type": "Practice Question",
    "Title": "Quadratic Formula",
    "Item": 5,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations/quadratic formula"
  },
  {
    "Question": "What is the discriminant of the quadratic equation 3x² + 2x + 1 = 0?",
    "Answer": "C",
    "Explanation": "Discriminant Δ = b² - 4ac = (2)² - 4(3)(1) = 4 - 12 = -8, which is less than zero, so no real roots.",
    "PictureURL": "",
    "OptionA": "8",
    "OptionB": "12",
    "OptionC": "-8",
    "OptionD": "4",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations Practice Test",
    "Content Type": "Practice Question",
    "Title": "Quadratic Formula",
    "Item": 6,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations/quadratic formula"
  },
  {
    "Question": "Which method is best to solve x² + 10x + 25 = 0?",
    "Answer": "A",
    "Explanation": "Since x² + 10x + 25 is a perfect square (x + 5)², factoring or completing the square is simplest.",
    "PictureURL": "",
    "OptionA": "Factoring or completing the square",
    "OptionB": "Quadratic formula only",
    "OptionC": "Graphing only",
    "OptionD": "Synthetic division",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations Practice Test",
    "Content Type": "Practice Question",
    "Title": "Choosing Methods",
    "Item": 7,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations/choosing method"
  },
  {
    "Question": "Solve by factoring: x² - 9 = 0.",
    "Answer": "C",
    "Explanation": "Difference of squares: x² - 9 = (x - 3)(x + 3) = 0, so x = 3 or x = -3.",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Difference_of_squares.svg/1200px-Difference_of_squares.svg.png",
    "OptionA": "x = 9 or x = -9",
    "OptionB": "x = 0 or x = 9",
    "OptionC": "x = 3 or x = -3",
    "OptionD": "x = 1 or x = -1",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations Practice Test",
    "Content Type": "Practice Question",
    "Title": "Factoring Quadratics",
    "Item": 8,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations/factoring"
  },
  {
    "Question": "What is the solution to x² + 2x - 8 = 0 using the quadratic formula?",
    "Answer": "D",
    "Explanation": "a=1, b=2, c=-8; x = [-2 ± √(4 + 32)]/2 = [-2 ± 6]/2; solutions: x=2 or x=-4.",
    "PictureURL": "",
    "OptionA": "x = -2 or x = 8",
    "OptionB": "x = 4 or x = -2",
    "OptionC": "x = -4 or x = 8",
    "OptionD": "x = 2 or x = -4",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations Practice Test",
    "Content Type": "Practice Question",
    "Title": "Quadratic Formula",
    "Item": 9,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations/quadratic formula"
  },
  {
    "Question": "Complete the square for y = x² - 12x + 20.",
    "Answer": "B",
    "Explanation": "Add and subtract (12/2)² = 36: y = (x - 6)² - 16.",
    "PictureURL": "",
    "OptionA": "y = (x + 6)² + 16",
    "OptionB": "y = (x - 6)² - 16",
    "OptionC": "y = (x - 12)² + 20",
    "OptionD": "y = (x + 12)² - 20",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations Practice Test",
    "Content Type": "Practice Question",
    "Title": "Completing the Square",
    "Item": 10,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations/completing square"
  },
  {
    "Question": "Which of the following is the quadratic formula?",
    "Answer": "A",
    "Explanation": "The quadratic formula is x = [-b ± √(b² - 4ac)] / (2a).",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/8/8c/Quadratic_formula.svg/1200px-Quadratic_formula.svg.png",
    "OptionA": "x = [-b ± √(b² - 4ac)] / (2a)",
    "OptionB": "x = (b ± √(b² + 4ac)) / (2a)",
    "OptionC": "x = [-b ± √(4ac - b²)] / (2a)",
    "OptionD": "x = (b ± √(4ac - b²)) / (2a)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations Practice Test",
    "Content Type": "Practice Question",
    "Title": "Quadratic Formula",
    "Item": 11,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations/quadratic formula"
  },
  {
    "Question": "If the discriminant of a quadratic equation is zero, how many real solutions does it have?",
    "Answer": "C",
    "Explanation": "A zero discriminant means one real repeated root (one unique solution).",
    "PictureURL": "",
    "OptionA": "No real solutions",
    "OptionB": "Two distinct real solutions",
    "OptionC": "One real solution",
    "OptionD": "Infinite solutions",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations Practice Test",
    "Content Type": "Practice Question",
    "Title": "Discriminant and Solutions",
    "Item": 12,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations/quadratic formula"
  },
  {
    "Question": "Factor the quadratic expression 4x² - 25.",
    "Answer": "B",
    "Explanation": "This is a difference of squares: 4x² - 25 = (2x - 5)(2x + 5).",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Difference_of_squares.svg/1200px-Difference_of_squares.svg.png",
    "OptionA": "(4x - 5)(x + 5)",
    "OptionB": "(2x - 5)(2x + 5)",
    "OptionC": "(4x - 25)(x + 1)",
    "OptionD": "(2x - 25)(2x + 1)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations Practice Test",
    "Content Type": "Practice Question",
    "Title": "Factoring Quadratics",
    "Item": 13,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations/factoring"
  },
  {
    "Question": "Solve by completing the square: x² + 4x - 5 = 0.",
    "Answer": "A",
    "Explanation": "Add 4 inside: x² + 4x + 4 = 5 + 4 → (x + 2)² = 9 → x + 2 = ±3 → x = 1 or x = -5.",
    "PictureURL": "",
    "OptionA": "x = 1 or x = -5",
    "OptionB": "x = -1 or x = 5",
    "OptionC": "x = 2 or x = -2",
    "OptionD": "x = 0 or x = 5",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations Practice Test",
    "Content Type": "Practice Question",
    "Title": "Completing the Square",
    "Item": 14,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations/completing square"
  },
  {
    "Question": "Which quadratic equation has roots x = 3 and x = -4?",
    "Answer": "D",
    "Explanation": "If roots are 3 and -4, the equation is (x - 3)(x + 4) = 0 → x² + x - 12 = 0.",
    "PictureURL": "",
    "OptionA": "x² - 7x + 12 = 0",
    "OptionB": "x² - x - 12 = 0",
    "OptionC": "x² + 7x + 12 = 0",
    "OptionD": "x² + x - 12 = 0",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Equations Practice Test",
    "Content Type": "Practice Question",
    "Title": "Factoring Quadratics",
    "Item": 15,
    "Type": "multiple choice",
    "Path": "Subtopics/Quadratic equations/factoring"
  }
]