[
  {
    "Question": "A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer drives 150 miles, what is the total cost?",
    "Answer": "C",
    "Explanation": "The total cost can be calculated using the formula: Total Cost = Flat Fee + (Cost per Mile * Miles Driven). Here, Total Cost = $50 + ($0.20 * 150) = $50 + $30 = $80.",
    "PictureURL": "",
    "OptionA": "$70",
    "OptionB": "$75",
    "OptionC": "$80",
    "OptionD": "$85",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Linear Modeling Practice Test",
    "Content Type": "Math",
    "Title": "Car Rental Cost Calculation",
    "Item": 1,
    "Type": "multiple choice",
    "Path": "linear_modeling"
  },
  {
    "Question": "A quadratic function is given by f(x) = 2x^2 + 3x - 5. What is the value of the function at x = 2?",
    "Answer": "B",
    "Explanation": "To find the value of the function at x = 2, substitute 2 into the function: f(2) = 2(2)^2 + 3(2) - 5 = 8 + 6 - 5 = 9.",
    "PictureURL": "",
    "OptionA": "5",
    "OptionB": "9",
    "OptionC": "11",
    "OptionD": "13",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Modeling Practice Test",
    "Content Type": "Math",
    "Title": "Evaluating a Quadratic Function",
    "Item": 2,
    "Type": "multiple choice",
    "Path": "quadratic_modeling"
  },
  {
    "Question": "In a linear equation y = mx + b, what does the 'm' represent?",
    "Answer": "A",
    "Explanation": "'m' represents the slope of the line, which indicates the rate of change of y with respect to x.",
    "PictureURL": "",
    "OptionA": "Slope",
    "OptionB": "Y-intercept",
    "OptionC": "X-intercept",
    "OptionD": "Constant term",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Linear Equation Concepts",
    "Content Type": "Math",
    "Title": "Understanding Slope in Linear Equations",
    "Item": 3,
    "Type": "multiple choice",
    "Path": "linear_equations"
  },
  {
    "Question": "A gardener is planting flowers in a rectangular garden that is 10 feet long and 5 feet wide. What is the area of the garden?",
    "Answer": "D",
    "Explanation": "The area of a rectangle is calculated using the formula: Area = Length * Width. Here, Area = 10 * 5 = 50 square feet.",
    "PictureURL": "",
    "OptionA": "25 square feet",
    "OptionB": "30 square feet",
    "OptionC": "40 square feet",
    "OptionD": "50 square feet",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Area Calculation Practice Test",
    "Content Type": "Math",
    "Title": "Calculating Area of a Rectangle",
    "Item": 4,
    "Type": "multiple choice",
    "Path": "area_calculation"
  },
  {
    "Question": "If a line has a slope of 3 and passes through the point (1, 2), what is the y-intercept?",
    "Answer": "B",
    "Explanation": "Using the point-slope form of the equation, y - y1 = m(x - x1), we can find the y-intercept. Substituting (1, 2) and m = 3 gives us y - 2 = 3(x - 1). Solving for y when x = 0 gives y = 3(0 - 1) + 2 = -1.",
    "PictureURL": "",
    "OptionA": "1",
    "OptionB": "-1",
    "OptionC": "2",
    "OptionD": "3",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Slope and Intercept Practice Test",
    "Content Type": "Math",
    "Title": "Finding Y-Intercept from Slope",
    "Item": 5,
    "Type": "multiple choice",
    "Path": "slope_intercept"
  },
  {
    "Question": "A company’s profit can be modeled by the equation P(x) = -x^2 + 4x + 5, where x is the number of units sold. What is the maximum profit?",
    "Answer": "C",
    "Explanation": "The maximum profit occurs at the vertex of the parabola represented by the quadratic equation. The x-coordinate of the vertex can be found using x = -b/(2a). Here, a = -1 and b = 4, so x = -4/(2*-1) = 2. Substituting x = 2 into P(x) gives P(2) = -2^2 + 4(2) + 5 = 13.",
    "PictureURL": "",
    "OptionA": "10",
    "OptionB": "12",
    "OptionC": "13",
    "OptionD": "15",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Profit Maximization Test",
    "Content Type": "Math",
    "Title": "Finding Maximum Profit from Quadratic Model",
    "Item": 6,
    "Type": "multiple choice",
    "Path": "profit_maximization"
  },
  {
    "Question": "If the slope of a line is -2, what does this indicate about the relationship between x and y?",
    "Answer": "A",
    "Explanation": "A negative slope indicates that as x increases, y decreases, showing an inverse relationship between the two variables.",
    "PictureURL": "",
    "OptionA": "Inverse relationship",
    "OptionB": "Direct relationship",
    "OptionC": "No relationship",
    "OptionD": "Constant relationship",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Understanding Slope",
    "Content Type": "Math",
    "Title": "Interpreting Negative Slope",
    "Item": 7,
    "Type": "multiple choice",
    "Path": "slope_interpretation"
  },
  {
    "Question": "A linear model predicts that the temperature (T) in degrees Celsius is related to the time (t) in hours by the equation T = 5t + 10. What is the temperature at t = 4?",
    "Answer": "B",
    "Explanation": "Substituting t = 4 into the equation gives T = 5(4) + 10 = 20 + 10 = 30 degrees Celsius.",
    "PictureURL": "",
    "OptionA": "20 degrees Celsius",
    "OptionB": "30 degrees Celsius",
    "OptionC": "40 degrees Celsius",
    "OptionD": "50 degrees Celsius",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Temperature Prediction Test",
    "Content Type": "Math",
    "Title": "Using Linear Models for Temperature",
    "Item": 8,
    "Type": "multiple choice",
    "Path": "temperature_prediction"
  },
  {
    "Question": "In the equation y = 2x + 3, what is the y-intercept?",
    "Answer": "A",
    "Explanation": "The y-intercept is the value of y when x = 0. Substituting x = 0 gives y = 2(0) + 3 = 3.",
    "PictureURL": "",
    "OptionA": "3",
    "OptionB": "2",
    "OptionC": "1",
    "OptionD": "0",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Y-Intercept Identification Test",
    "Content Type": "Math",
    "Title": "Finding Y-Intercept in Linear Equations",
    "Item": 9,
    "Type": "multiple choice",
    "Path": "y_intercept"
  },
  {
    "Question": "A quadratic function has its vertex at (3, -4). What does this tell you about the function?",
    "Answer": "C",
    "Explanation": "The vertex of a quadratic function indicates the maximum or minimum point of the parabola. Since the vertex is at (3, -4), this is the minimum point if the parabola opens upwards.",
    "PictureURL": "",
    "OptionA": "It has no maximum.",
    "OptionB": "It has a maximum at (3, -4).",
    "OptionC": "It has a minimum at (3, -4).",
    "OptionD": "It is a linear function.",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Vertex Interpretation Test",
    "Content Type": "Math",
    "Title": "Understanding Vertex in Quadratic Functions",
    "Item": 10,
    "Type": "multiple choice",
    "Path": "vertex_interpretation"
  },
  {
    "Question": "If a line passes through the points (2, 3) and (4, 7), what is the slope of the line?",
    "Answer": "B",
    "Explanation": "The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1). Here, m = (7 - 3) / (4 - 2) = 4 / 2 = 2.",
    "PictureURL": "",
    "OptionA": "1",
    "OptionB": "2",
    "OptionC": "3",
    "OptionD": "4",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Slope Calculation Test",
    "Content Type": "Math",
    "Title": "Calculating Slope from Two Points",
    "Item": 11,
    "Type": "multiple choice",
    "Path": "slope_calculation"
  },
  {
    "Question": "A store sells a product for $20, and the cost to produce it is $12. What is the profit per unit sold?",
    "Answer": "C",
    "Explanation": "Profit per unit is calculated as Selling Price - Cost Price. Here, Profit = $20 - $12 = $8.",
    "PictureURL": "",
    "OptionA": "$6",
    "OptionB": "$7",
    "OptionC": "$8",
    "OptionD": "$9",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Profit Calculation Test",
    "Content Type": "Math",
    "Title": "Calculating Profit per Unit",
    "Item": 12,
    "Type": "multiple choice",
    "Path": "profit_calculation"
  },
  {
    "Question": "What does the intercept of a linear model represent in a real-world context?",
    "Answer": "A",
    "Explanation": "The intercept represents the value of the dependent variable when the independent variable is zero, often providing a starting point or baseline in real-world scenarios.",
    "PictureURL": "",
    "OptionA": "Starting value",
    "OptionB": "Rate of change",
    "OptionC": "Maximum value",
    "OptionD": "Minimum value",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Intercept Interpretation Test",
    "Content Type": "Math",
    "Title": "Understanding Intercepts in Linear Models",
    "Item": 13,
    "Type": "multiple choice",
    "Path": "intercept_interpretation"
  },
  {
    "Question": "A quadratic function opens upwards. What can be said about its leading coefficient?",
    "Answer": "A",
    "Explanation": "If a quadratic function opens upwards, its leading coefficient (the coefficient of x^2) is positive.",
    "PictureURL": "",
    "OptionA": "Positive",
    "OptionB": "Negative",
    "OptionC": "Zero",
    "OptionD": "Undefined",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Quadratic Function Properties Test",
    "Content Type": "Math",
    "Title": "Understanding Leading Coefficient in Quadratics",
    "Item": 14,
    "Type": "multiple choice",
    "Path": "quadratic_properties"
  },
  {
    "Question": "In a linear equation, if the slope is 0, what does this indicate about the line?",
    "Answer": "B",
    "Explanation": "A slope of 0 indicates that the line is horizontal, meaning there is no change in y as x changes.",
    "PictureURL": "",
    "OptionA": "The line is vertical.",
    "OptionB": "The line is horizontal.",
    "OptionC": "The line is diagonal.",
    "OptionD": "The line is undefined.",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Slope Characteristics Test",
    "Content Type": "Math",
    "Title": "Understanding Horizontal Lines",
    "Item": 15,
    "Type": "multiple choice",
    "Path": "horizontal_lines"
  }
]