[
  {
    "Question": "What is the constant of proportionality in the equation y = 3x?",
    "Answer": "A",
    "Explanation": "The constant of proportionality is the coefficient of x in the equation, which in this case is 3.",
    "PictureURL": "",
    "OptionA": "3",
    "OptionB": "x",
    "OptionC": "y",
    "OptionD": "0",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Proportional Relationships Practice Test",
    "Content Type": "Mathematics",
    "Title": "Understanding Constant of Proportionality",
    "Item": 1,
    "Type": "multiple choice",
    "Path": "math/proportional-relationships/constant-of-proportionality"
  },
  {
    "Question": "If a car travels 120 miles in 2 hours, what is the unit rate of speed?",
    "Answer": "B",
    "Explanation": "To find the unit rate, divide the total distance by the total time: 120 miles ÷ 2 hours = 60 miles per hour.",
    "PictureURL": "",
    "OptionA": "30 miles per hour",
    "OptionB": "60 miles per hour",
    "OptionC": "90 miles per hour",
    "OptionD": "120 miles per hour",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Proportional Relationships Practice Test",
    "Content Type": "Mathematics",
    "Title": "Calculating Unit Rate",
    "Item": 2,
    "Type": "multiple choice",
    "Path": "math/proportional-relationships/unit-rate"
  },
  {
    "Question": "Which of the following represents a direct variation?",
    "Answer": "C",
    "Explanation": "Direct variation can be represented by an equation of the form y = kx, where k is a non-zero constant.",
    "PictureURL": "",
    "OptionA": "y = x + 5",
    "OptionB": "y = 2x - 3",
    "OptionC": "y = 4x",
    "OptionD": "y = x^2",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Proportional Relationships Practice Test",
    "Content Type": "Mathematics",
    "Title": "Identifying Direct Variation",
    "Item": 3,
    "Type": "multiple choice",
    "Path": "math/proportional-relationships/direct-variation"
  },
  {
    "Question": "If the constant of proportionality is 5, what is the value of y when x = 10?",
    "Answer": "A",
    "Explanation": "Using the formula y = kx, where k is the constant of proportionality, we have y = 5 * 10 = 50.",
    "PictureURL": "",
    "OptionA": "50",
    "OptionB": "5",
    "OptionC": "10",
    "OptionD": "15",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Proportional Relationships Practice Test",
    "Content Type": "Mathematics",
    "Title": "Calculating y from Constant of Proportionality",
    "Item": 4,
    "Type": "multiple choice",
    "Path": "math/proportional-relationships/calculating-y"
  },
  {
    "Question": "Which graph represents a proportional relationship?",
    "Answer": "D",
    "Explanation": "A proportional relationship is represented by a straight line that passes through the origin (0,0).",
    "PictureURL": "https://upload.wikimedia.org/wikipedia/commons/thumb/2/2c/Linear_relationship.svg/1200px-Linear_relationship.svg.png",
    "OptionA": "Graph A",
    "OptionB": "Graph B",
    "OptionC": "Graph C",
    "OptionD": "Graph D",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Proportional Relationships Practice Test",
    "Content Type": "Mathematics",
    "Title": "Identifying Proportional Graphs",
    "Item": 5,
    "Type": "multiple choice",
    "Path": "math/proportional-relationships/proportional-graphs"
  },
  {
    "Question": "If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?",
    "Answer": "A",
    "Explanation": "The ratio of flour to sugar is 2:3, which shows the proportional relationship between the two ingredients.",
    "PictureURL": "",
    "OptionA": "2:3",
    "OptionB": "3:2",
    "OptionC": "1:1.5",
    "OptionD": "1.5:1",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Proportional Relationships Practice Test",
    "Content Type": "Mathematics",
    "Title": "Understanding Ratios",
    "Item": 6,
    "Type": "multiple choice",
    "Path": "math/proportional-relationships/ratios"
  },
  {
    "Question": "What is the unit rate of 45 miles in 1.5 hours?",
    "Answer": "B",
    "Explanation": "To find the unit rate, divide 45 miles by 1.5 hours: 45 ÷ 1.5 = 30 miles per hour.",
    "PictureURL": "",
    "OptionA": "15 miles per hour",
    "OptionB": "30 miles per hour",
    "OptionC": "45 miles per hour",
    "OptionD": "60 miles per hour",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Proportional Relationships Practice Test",
    "Content Type": "Mathematics",
    "Title": "Finding Unit Rate",
    "Item": 7,
    "Type": "multiple choice",
    "Path": "math/proportional-relationships/unit-rate-2"
  },
  {
    "Question": "If y varies directly with x and y = 12 when x = 4, what is the constant of proportionality?",
    "Answer": "A",
    "Explanation": "To find the constant of proportionality, use the formula k = y/x. Here, k = 12/4 = 3.",
    "PictureURL": "",
    "OptionA": "3",
    "OptionB": "4",
    "OptionC": "12",
    "OptionD": "48",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Proportional Relationships Practice Test",
    "Content Type": "Mathematics",
    "Title": "Finding Constant of Proportionality",
    "Item": 8,
    "Type": "multiple choice",
    "Path": "math/proportional-relationships/constant-of-proportionality-2"
  },
  {
    "Question": "Which equation represents a proportional relationship?",
    "Answer": "C",
    "Explanation": "The equation y = 7x represents a proportional relationship because it can be expressed in the form y = kx.",
    "PictureURL": "",
    "OptionA": "y = x + 1",
    "OptionB": "y = 3x - 2",
    "OptionC": "y = 7x",
    "OptionD": "y = x^3",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Proportional Relationships Practice Test",
    "Content Type": "Mathematics",
    "Title": "Identifying Proportional Equations",
    "Item": 9,
    "Type": "multiple choice",
    "Path": "math/proportional-relationships/proportional-equations"
  },
  {
    "Question": "If a person earns $15 for every hour worked, what is the unit rate?",
    "Answer": "A",
    "Explanation": "The unit rate is the amount earned per hour, which is $15.",
    "PictureURL": "",
    "OptionA": "$15 per hour",
    "OptionB": "$10 per hour",
    "OptionC": "$20 per hour",
    "OptionD": "$5 per hour",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Proportional Relationships Practice Test",
    "Content Type": "Mathematics",
    "Title": "Calculating Earnings Unit Rate",
    "Item": 10,
    "Type": "multiple choice",
    "Path": "math/proportional-relationships/earnings-unit-rate"
  },
  {
    "Question": "What is the value of y if the equation is y = 2.5x and x = 8?",
    "Answer": "B",
    "Explanation": "Substituting x = 8 into the equation gives y = 2.5 * 8 = 20.",
    "PictureURL": "",
    "OptionA": "10",
    "OptionB": "20",
    "OptionC": "30",
    "OptionD": "40",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Proportional Relationships Practice Test",
    "Content Type": "Mathematics",
    "Title": "Calculating y from x",
    "Item": 11,
    "Type": "multiple choice",
    "Path": "math/proportional-relationships/calculating-y-2"
  },
  {
    "Question": "If the ratio of boys to girls in a class is 4:5, what is the constant of proportionality if there are 20 boys?",
    "Answer": "A",
    "Explanation": "If the ratio is 4:5, then for every 4 boys, there are 5 girls. If there are 20 boys, the constant of proportionality is 5 (5 girls for every 4 boys).",
    "PictureURL": "",
    "OptionA": "5",
    "OptionB": "4",
    "OptionC": "20",
    "OptionD": "25",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Proportional Relationships Practice Test",
    "Content Type": "Mathematics",
    "Title": "Finding Constant of Proportionality in Ratios",
    "Item": 12,
    "Type": "multiple choice",
    "Path": "math/proportional-relationships/constant-of-proportionality-ratios"
  },
  {
    "Question": "Which of the following is NOT a characteristic of proportional relationships?",
    "Answer": "D",
    "Explanation": "Proportional relationships do not have a constant rate of change; they have a constant ratio instead.",
    "PictureURL": "",
    "OptionA": "They pass through the origin.",
    "OptionB": "They have a constant ratio.",
    "OptionC": "They can be represented by a straight line.",
    "OptionD": "They have a constant rate of change.",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Proportional Relationships Practice Test",
    "Content Type": "Mathematics",
    "Title": "Characteristics of Proportional Relationships",
    "Item": 13,
    "Type": "multiple choice",
    "Path": "math/proportional-relationships/characteristics"
  },
  {
    "Question": "If a person can read 30 pages in 1 hour, how many pages can they read in 3 hours?",
    "Answer": "C",
    "Explanation": "If the person reads 30 pages in 1 hour, in 3 hours they can read 30 * 3 = 90 pages.",
    "PictureURL": "",
    "OptionA": "60 pages",
    "OptionB": "70 pages",
    "OptionC": "90 pages",
    "OptionD": "100 pages",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Proportional Relationships Practice Test",
    "Content Type": "Mathematics",
    "Title": "Calculating Total Pages Read",
    "Item": 14,
    "Type": "multiple choice",
    "Path": "math/proportional-relationships/pages-read"
  },
  {
    "Question": "What is the value of x if y = 6 when y varies directly with x and the constant of proportionality is 2?",
    "Answer": "B",
    "Explanation": "Using the formula y = kx, we can rearrange to find x: x = y/k = 6/2 = 3.",
    "PictureURL": "",
    "OptionA": "1",
    "OptionB": "3",
    "OptionC": "6",
    "OptionD": "12",
    "OptionE": "",
    "OptionF": "",
    "OptionG": "",
    "TestName": "Proportional Relationships Practice Test",
    "Content Type": "Mathematics",
    "Title": "Finding x from y",
    "Item": 15,
    "Type": "multiple choice",
    "Path": "math/proportional-relationships/finding-x"
  }
]