[
  {
    "Question": "What is the sum of the roots of the quadratic equation 2x² - 5x + 3 = 0?",
    "Answer": "B",
    "Explanation": "For a quadratic equation ax² + bx + c = 0, the sum of the roots is given by -b/a. Here, a=2 and b=-5, so sum = -(-5)/2 = 5/2.",
    "PictureURL": "",
    "OptionA": "3/2",
    "OptionB": "5/2",
    "OptionC": "-5/2",
    "OptionD": "-3/2",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Algebra II Practice Test",
    "Content Type": "multiple choice",
    "Title": "Sum of Roots of Quadratic",
    "Item": 1,
    "Type": "multiple choice",
    "Path": "Math/Algebra II/Quadratic Equations"
  },
  {
    "Question": "If (x - 3) is a factor of the polynomial P(x) = x³ - 4x² + ax + 6, what is the value of a?",
    "Answer": "C",
    "Explanation": "Since (x - 3) is a factor, P(3) = 0. Substitute x=3: 27 - 36 + 3a + 6 = 0 → 27 - 36 + 6 + 3a = 0 → -3 + 3a = 0 → 3a = 3 → a = 1.",
    "PictureURL": "",
    "OptionA": "3",
    "OptionB": "-1",
    "OptionC": "1",
    "OptionD": "0",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Algebra II Practice Test",
    "Content Type": "multiple choice",
    "Title": "Factor of Polynomial",
    "Item": 2,
    "Type": "multiple choice",
    "Path": "Math/Algebra II/Polynomials"
  },
  {
    "Question": "Simplify the rational expression: (x² - 9) / (x² - 6x + 9).",
    "Answer": "A",
    "Explanation": "Factor numerator and denominator: numerator = (x - 3)(x + 3), denominator = (x - 3)². Cancel (x - 3), result is (x + 3)/(x - 3), x ≠ 3.",
    "PictureURL": "",
    "OptionA": "(x + 3) / (x - 3)",
    "OptionB": "(x - 3) / (x + 3)",
    "OptionC": "(x + 3)² / (x - 3)²",
    "OptionD": "(x - 3)(x + 3)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Algebra II Practice Test",
    "Content Type": "multiple choice",
    "Title": "Simplify Rational Expression",
    "Item": 3,
    "Type": "multiple choice",
    "Path": "Math/Algebra II/Rational Expressions"
  },
  {
    "Question": "Solve for x: log₂(x) + log₂(x - 3) = 3.",
    "Answer": "B",
    "Explanation": "Use log property: log₂(x) + log₂(x - 3) = log₂[x(x - 3)] = 3. So, x(x - 3) = 2³ = 8. Solve x² - 3x - 8 = 0. Roots: x = (3 ± √(9 + 32))/2 = (3 ± 7)/2. Possible x: 5 or -2. Since log domain requires x > 0 and x - 3 > 0, x > 3, so x = 5.",
    "PictureURL": "",
    "OptionA": "3",
    "OptionB": "5",
    "OptionC": "8",
    "OptionD": "2",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Algebra II Practice Test",
    "Content Type": "multiple choice",
    "Title": "Solve Logarithmic Equation",
    "Item": 4,
    "Type": "multiple choice",
    "Path": "Math/Algebra II/Logarithms"
  },
  {
    "Question": "What is the degree of the polynomial P(x) = 4x⁵ - 3x³ + 7x - 1?",
    "Answer": "A",
    "Explanation": "The degree of a polynomial is the highest power of x with a nonzero coefficient. Here, the highest power is 5.",
    "PictureURL": "",
    "OptionA": "5",
    "OptionB": "3",
    "OptionC": "1",
    "OptionD": "7",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Algebra II Practice Test",
    "Content Type": "multiple choice",
    "Title": "Degree of Polynomial",
    "Item": 5,
    "Type": "multiple choice",
    "Path": "Math/Algebra II/Polynomials"
  },
  {
    "Question": "Find the roots of the quadratic equation x² + 6x + 9 = 0.",
    "Answer": "D",
    "Explanation": "This is a perfect square trinomial: (x + 3)² = 0, so the root is x = -3 (double root).",
    "PictureURL": "",
    "OptionA": "x = 3 and x = -3",
    "OptionB": "x = 0 and x = -9",
    "OptionC": "x = 9 and x = -6",
    "OptionD": "x = -3 (double root)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Algebra II Practice Test",
    "Content Type": "multiple choice",
    "Title": "Roots of Quadratic",
    "Item": 6,
    "Type": "multiple choice",
    "Path": "Math/Algebra II/Quadratic Equations"
  },
  {
    "Question": "Simplify the expression: (3x²y)³.",
    "Answer": "C",
    "Explanation": "Apply power to each factor: 3³ = 27, (x²)³ = x⁶, y³ = y³. So, expression simplifies to 27x⁶y³.",
    "PictureURL": "",
    "OptionA": "9x⁵y³",
    "OptionB": "27x⁵y³",
    "OptionC": "27x⁶y³",
    "OptionD": "9x⁶y³",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Algebra II Practice Test",
    "Content Type": "multiple choice",
    "Title": "Exponentiation of Polynomial Term",
    "Item": 7,
    "Type": "multiple choice",
    "Path": "Math/Algebra II/Polynomials"
  },
  {
    "Question": "If f(x) = (x + 2)/(x - 1), what is f⁻¹(x), the inverse function?",
    "Answer": "B",
    "Explanation": "Set y = (x + 2)/(x - 1). Swap x and y: x = (y + 2)/(y - 1). Solve for y: x(y - 1) = y + 2 → xy - x = y + 2 → xy - y = x + 2 → y(x - 1) = x + 2 → y = (x + 2)/(x - 1). So f⁻¹(x) = (x + 2)/(x - 1).",
    "PictureURL": "",
    "OptionA": "(x - 2)/(x + 1)",
    "OptionB": "(x + 2)/(x - 1)",
    "OptionC": "(x - 1)/(x + 2)",
    "OptionD": "(x + 1)/(x - 2)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Algebra II Practice Test",
    "Content Type": "multiple choice",
    "Title": "Inverse of Rational Function",
    "Item": 8,
    "Type": "multiple choice",
    "Path": "Math/Algebra II/Rational Expressions"
  },
  {
    "Question": "Evaluate log₅(125).",
    "Answer": "C",
    "Explanation": "Since 125 = 5³, log₅(125) = 3.",
    "PictureURL": "",
    "OptionA": "2",
    "OptionB": "4",
    "OptionC": "3",
    "OptionD": "5",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Algebra II Practice Test",
    "Content Type": "multiple choice",
    "Title": "Evaluate Logarithm",
    "Item": 9,
    "Type": "multiple choice",
    "Path": "Math/Algebra II/Logarithms"
  },
  {
    "Question": "Which of the following is the factored form of x² - 16?",
    "Answer": "A",
    "Explanation": "x² - 16 is a difference of squares: x² - 4² = (x - 4)(x + 4).",
    "PictureURL": "",
    "OptionA": "(x - 4)(x + 4)",
    "OptionB": "(x - 8)(x + 2)",
    "OptionC": "(x - 2)(x + 8)",
    "OptionD": "(x - 16)(x + 1)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Algebra II Practice Test",
    "Content Type": "multiple choice",
    "Title": "Factoring Difference of Squares",
    "Item": 10,
    "Type": "multiple choice",
    "Path": "Math/Algebra II/Polynomials"
  },
  {
    "Question": "Solve for x: (x + 1)/(x - 2) = 3.",
    "Answer": "B",
    "Explanation": "Multiply both sides by (x - 2): x + 1 = 3(x - 2) → x + 1 = 3x - 6 → 1 + 6 = 3x - x → 7 = 2x → x = 7/2 = 3.5.",
    "PictureURL": "",
    "OptionA": "2",
    "OptionB": "3.5",
    "OptionC": "-3.5",
    "OptionD": "1",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Algebra II Practice Test",
    "Content Type": "multiple choice",
    "Title": "Solve Rational Equation",
    "Item": 11,
    "Type": "multiple choice",
    "Path": "Math/Algebra II/Rational Expressions"
  },
  {
    "Question": "Express logₐ(b) in terms of natural logarithms.",
    "Answer": "D",
    "Explanation": "Change of base formula: logₐ(b) = ln(b) / ln(a).",
    "PictureURL": "",
    "OptionA": "ln(a) / ln(b)",
    "OptionB": "ln(a) * ln(b)",
    "OptionC": "ln(b) - ln(a)",
    "OptionD": "ln(b) / ln(a)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Algebra II Practice Test",
    "Content Type": "multiple choice",
    "Title": "Change of Base Formula",
    "Item": 12,
    "Type": "multiple choice",
    "Path": "Math/Algebra II/Logarithms"
  },
  {
    "Question": "What is the vertex of the parabola y = 2x² - 8x + 6?",
    "Answer": "C",
    "Explanation": "Vertex formula: x = -b/(2a) = 8/(2*2) = 2. Substitute x=2: y = 2(4) - 8(2) + 6 = 8 - 16 + 6 = -2. Vertex is (2, -2).",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/8/8a/Parabola.svg/220px-Parabola.svg.png",
    "OptionA": "(4, 6)",
    "OptionB": "(2, 6)",
    "OptionC": "(2, -2)",
    "OptionD": "(-2, 2)",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Algebra II Practice Test",
    "Content Type": "multiple choice",
    "Title": "Vertex of Parabola",
    "Item": 13,
    "Type": "multiple choice",
    "Path": "Math/Algebra II/Quadratic Equations"
  },
  {
    "Question": "If f(x) = x³ - 2x² + x - 5, what is f(2)?",
    "Answer": "B",
    "Explanation": "Substitute x=2: 2³ - 2(2)² + 2 - 5 = 8 - 8 + 2 - 5 = -3.",
    "PictureURL": "",
    "OptionA": "3",
    "OptionB": "-3",
    "OptionC": "5",
    "OptionD": "0",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Algebra II Practice Test",
    "Content Type": "multiple choice",
    "Title": "Evaluate Polynomial",
    "Item": 14,
    "Type": "multiple choice",
    "Path": "Math/Algebra II/Polynomials"
  },
  {
    "Question": "Solve for x: log₃(x - 1) = 2.",
    "Answer": "A",
    "Explanation": "Rewrite in exponential form: x - 1 = 3² = 9 → x = 10.",
    "PictureURL": "",
    "OptionA": "10",
    "OptionB": "9",
    "OptionC": "3",
    "OptionD": "1",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Algebra II Practice Test",
    "Content Type": "multiple choice",
    "Title": "Solve Logarithmic Equation",
    "Item": 15,
    "Type": "multiple choice",
    "Path": "Math/Algebra II/Logarithms"
  }
]