{
  "title": "Forming Linear Equations in One Variable (Linear Equations) - Grade 8 CBSE",
  "total_questions": 60,
  "questions": [

 
    {"id": 1, "difficulty": "easy", "question": "A number increased by 5 gives 12. Form the equation.", "options": {"A": "x + 5 = 12", "B": "x - 5 = 12", "C": "5x = 12", "D": "x/5 = 12"}, "correct_answer": "A"},
    {"id": 2, "difficulty": "easy", "question": "A number decreased by 7 is 10. Form the equation.", "options": {"A": "x - 10 = 7", "B": "x - 7 = 10", "C": "x + 7 = 10", "D": "7x = 10"}, "correct_answer": "B"},
    {"id": 3, "difficulty": "easy", "question": "Twice a number gives 18. Form the equation.", "options": {"A": "2 + x = 18", "B": "2 - x = 18", "C": "2x = 18", "D": "x/2 = 18"}, "correct_answer": "C"},
    {"id": 4, "difficulty": "easy", "question": "A number divided by 3 gives 6. Form the equation.", "options": {"A": "3x = 6", "B": "x + 3 = 6", "C": "x - 3 = 6", "D": "x/3 = 6"}, "correct_answer": "D"},
    {"id": 5, "difficulty": "easy", "question": "Five more than a number is 20. Form the equation.", "options": {"A": "x + 5 = 20", "B": "5 - x = 20", "C": "5x = 20", "D": "x/5 = 20"}, "correct_answer": "A"},
    {"id": 6, "difficulty": "easy", "question": "Three less than a number equals 14.", "options": {"A": "x + 3 = 14", "B": "x - 3 = 14", "C": "3x = 14", "D": "x/3 = 14"}, "correct_answer": "B"},
    {"id": 7, "difficulty": "easy", "question": "Thrice a number gives 21.", "options": {"A": "3 + x = 21", "B": "x/3 = 21", "C": "3x = 21", "D": "x - 3 = 21"}, "correct_answer": "C"},
    {"id": 8, "difficulty": "easy", "question": "A number divided by 4 gives 9.", "options": {"A": "x/4 = 9", "B": "4x = 9", "C": "x + 4 = 9", "D": "x - 4 = 9"}, "correct_answer": "D"},
    {"id": 9, "difficulty": "easy", "question": "A number increased by 9 equals 15.", "options": {"A": "x + 9 = 15", "B": "x - 9 = 15", "C": "9x = 15", "D": "x/9 = 15"}, "correct_answer": "A"},
    {"id": 10, "difficulty": "easy", "question": "Four less than a number equals 8.", "options": {"A": "x + 4 = 8", "B": "x - 4 = 8", "C": "4x = 8", "D": "x/4 = 8"}, "correct_answer": "B"},
    {"id": 11, "difficulty": "easy", "question": "The sum of a number and 11 is 25.", "options": {"A": "x - 11 = 25", "B": "11 - x = 25", "C": "x + 11 = 25", "D": "11x = 25"}, "correct_answer": "C"},
    {"id": 12, "difficulty": "easy", "question": "A number decreased by 8 equals 2.", "options": {"A": "x - 8 = 2", "B": "x + 8 = 2", "C": "8x = 2", "D": "x/8 = 2"}, "correct_answer": "D"},
    {"id": 13, "difficulty": "easy", "question": "The product of 4 and a number is 28.", "options": {"A": "4x = 28", "B": "x/4 = 28", "C": "x + 4 = 28", "D": "x - 4 = 28"}, "correct_answer": "A"},
    {"id": 14, "difficulty": "easy", "question": "A number divided by 7 gives 3.", "options": {"A": "x/7 = 3", "B": "7x = 3", "C": "x + 7 = 3", "D": "x - 7 = 3"}, "correct_answer": "B"},
    {"id": 15, "difficulty": "easy", "question": "A number minus 6 equals 9.", "options": {"A": "x + 6 = 9", "B": "x - 6 = 9", "C": "6x = 9", "D": "x/6 = 9"}, "correct_answer": "C"},
    {"id": 16, "difficulty": "easy", "question": "Twice a number decreased by 4 equals 10.", "options": {"A": "2x - 4 = 10", "B": "2x + 4 = 10", "C": "x/2 - 4 = 10", "D": "4 - 2x = 10"}, "correct_answer": "D"},
    {"id": 17, "difficulty": "easy", "question": "Half a number gives 13.", "options": {"A": "x/2 = 13", "B": "2x = 13", "C": "x + 2 = 13", "D": "x - 2 = 13"}, "correct_answer": "A"},
    {"id": 18, "difficulty": "easy", "question": "A number increased by 12 becomes 30.", "options": {"A": "x - 12 = 30", "B": "x + 12 = 30", "C": "12x = 30", "D": "x/12 = 30"}, "correct_answer": "B"},
    {"id": 19, "difficulty": "easy", "question": "Three times a number minus 5 equals 16.", "options": {"A": "3x + 5 = 16", "B": "3x - 5 = 16", "C": "x/3 - 5 = 16", "D": "5 - 3x = 16"}, "correct_answer": "C"},
    {"id": 20, "difficulty": "easy", "question": "A number divided by 9 gives 4.", "options": {"A": "x/9 = 4", "B": "9/x = 4", "C": "x + 9 = 4", "D": "x - 9 = 4"}, "correct_answer": "D"},

    {"id": 21, "difficulty": "medium", "question": "Five times a number decreased by 7 is 18.", "options": {"A": "5x - 7 = 18", "B": "5x + 7 = 18", "C": "x/5 - 7 = 18", "D": "7 - 5x = 18"}, "correct_answer": "A"},
    {"id": 22, "difficulty": "medium", "question": "Four more than thrice a number is 25.", "options": {"A": "3x - 4 = 25", "B": "3x + 4 = 25", "C": "4x + 3 = 25", "D": "x/3 + 4 = 25"}, "correct_answer": "B"},
    {"id": 23, "difficulty": "medium", "question": "Twice a number increased by 9 equals 31.", "options": {"A": "2x - 9 = 31", "B": "2x + 9 = 31", "C": "x/2 + 9 = 31", "D": "9 - 2x = 31"}, "correct_answer": "C"},
    {"id": 24, "difficulty": "medium", "question": "Seven more than a number divided by 3 equals 10.", "options": {"A": "x/3 + 7 = 10", "B": "3x + 7 = 10", "C": "x - 7 = 10", "D": "7x + 3 = 10"}, "correct_answer": "D"},
    {"id": 25, "difficulty": "medium", "question": "A number multiplied by 6 and reduced by 5 gives 31.", "options": {"A": "6x - 5 = 31", "B": "6x + 5 = 31", "C": "x/6 - 5 = 31", "D": "5 - 6x = 31"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "Half a number increased by 11 equals 20.", "options": {"A": "x/2 - 11 = 20", "B": "x/2 + 11 = 20", "C": "2x + 11 = 20", "D": "2x - 11 = 20"}, "correct_answer": "B"},
    {"id": 27, "difficulty": "medium", "question": "Three times a number plus 8 equals 29.", "options": {"A": "3x + 8 = 29", "B": "3x - 8 = 29", "C": "x/3 + 8 = 29", "D": "8 - 3x = 29"}, "correct_answer": "C"},
    {"id": 28, "difficulty": "medium", "question": "A number reduced by 15 equals twice the number.", "options": {"A": "x + 15 = 2x", "B": "x - 15 = 2x", "C": "15 - x = 2x", "D": "2x + 15 = x"}, "correct_answer": "D"},
    {"id": 29, "difficulty": "medium", "question": "Four times a number minus 12 gives 36.", "options": {"A": "4x - 12 = 36", "B": "4x + 12 = 36", "C": "4 - 12x = 36", "D": "x/4 - 12 = 36"}, "correct_answer": "A"},
    {"id": 30, "difficulty": "medium", "question": "Seven less than twice a number is 17.", "options": {"A": "2x + 7 = 17", "B": "2x - 7 = 17", "C": "7x - 2 = 17", "D": "x/2 - 7 = 17"}, "correct_answer": "B"},
    {"id": 31, "difficulty": "medium", "question": "Ten more than three-fourths of a number equals 22.", "options": {"A": "(3/4)x + 10 = 22", "B": "(4/3)x + 10 = 22", "C": "x/4 + 10 = 22", "D": "3x + 10 = 22"}, "correct_answer": "C"},
    {"id": 32, "difficulty": "medium", "question": "A number divided by 8 increased by 6 equals 20.", "options": {"A": "x/8 + 6 = 20", "B": "x - 8 + 6 = 20", "C": "8x + 6 = 20", "D": "6x + 8 = 20"}, "correct_answer": "D"},
    {"id": 33, "difficulty": "medium", "question": "One-third of a number increased by 9 is 15.", "options": {"A": "x/3 + 9 = 15", "B": "3x + 9 = 15", "C": "x - 3 + 9 = 15", "D": "9x + 3 = 15"}, "correct_answer": "A"},
    {"id": 34, "difficulty": "medium", "question": "A number multiplied by 5 and added to 18 equals 48.", "options": {"A": "5x - 18 = 48", "B": "5x + 18 = 48", "C": "18x + 5 = 48", "D": "x/5 + 18 = 48"}, "correct_answer": "B"},
    {"id": 35, "difficulty": "medium", "question": "Eight less than four times a number equals 20.", "options": {"A": "4x + 8 = 20", "B": "4x - 8 = 20", "C": "8x - 4 = 20", "D": "x/4 - 8 = 20"}, "correct_answer": "C"},
    {"id": 36, "difficulty": "medium", "question": "Three more than a number divided by 5 equals 11.", "options": {"A": "x/5 + 3 = 11", "B": "5 + x/3 = 11", "C": "5x + 3 = 11", "D": "x + 3/5 = 11"}, "correct_answer": "D"},
    {"id": 37, "difficulty": "medium", "question": "A number minus its half equals 12.", "options": {"A": "x - x/2 = 12", "B": "x/2 - x = 12", "C": "x + x/2 = 12", "D": "2x - x = 12"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "Four more than one-sixth of a number equals 10.", "options": {"A": "(1/6)x + 4 = 10", "B": "(6/x) + 4 = 10", "C": "x/6 - 4 = 10", "D": "6x + 4 = 10"}, "correct_answer": "B"},
    {"id": 39, "difficulty": "medium", "question": "Six less than twice a number equals one more than the number.", "options": {"A": "2x - 6 = x + 1", "B": "2x + 6 = x + 1", "C": "x - 6 = 2x + 1", "D": "6 - x = x + 1"}, "correct_answer": "C"},
    {"id": 40, "difficulty": "medium", "question": "Five more than two-thirds of a number equals 17.", "options": {"A": "(2/3)x + 5 = 17", "B": "(3/2)x + 5 = 17", "C": "x + 5/3 = 17", "D": "5x + 2 = 17"}, "correct_answer": "D"},

    {"id": 41, "difficulty": "hard", "question": "A number increased by twice itself equals 54.", "options": {"A": "x + 2x = 54", "B": "x - 2x = 54", "C": "2x - x = 54", "D": "x/2 + x = 54"}, "correct_answer": "A"},
    {"id": 42, "difficulty": "hard", "question": "Three times a number increased by 7 equals twice the number plus 19.", "options": {"A": "3x + 7 = 2x + 19", "B": "3x - 7 = 2x + 19", "C": "7 - 3x = 19 - 2x", "D": "3x + 19 = 2x + 7"}, "correct_answer": "B"},
    {"id": 43, "difficulty": "hard", "question": "Half a number plus 8 equals one-fourth of the number plus 14.", "options": {"A": "x/2 + 8 = x/4 + 14", "B": "x/4 + 8 = x/2 + 14", "C": "x + 8 = x + 14", "D": "8x + 1/4 = 14"}, "correct_answer": "C"},
    {"id": 44, "difficulty": "hard", "question": "One-fifth of a number minus 3 equals one-eighth of the number plus 2.", "options": {"A": "x/5 - 3 = x/8 + 2", "B": "x/8 - 3 = x/5 + 2", "C": "5x - 3 = 8x + 2", "D": "x - 3/5 = x - 2/8"}, "correct_answer": "D"},
    {"id": 45, "difficulty": "hard", "question": "Seven less than three-fourths of a number equals 16.", "options": {"A": "(3/4)x - 7 = 16", "B": "(4/3)x - 7 = 16", "C": "x/3 - 7 = 16", "D": "7 - (3/4)x = 16"}, "correct_answer": "A"},
    {"id": 46, "difficulty": "hard", "question": "Twice a number plus 9 equals three times the number minus 6.", "options": {"A": "2x + 9 = 3x - 6", "B": "2x - 9 = 3x + 6", "C": "3x + 9 = 2x - 6", "D": "2x + 6 = 3x - 9"}, "correct_answer": "B"},
    {"id": 47, "difficulty": "hard", "question": "A number decreased by its one-third equals 24.", "options": {"A": "x - x/3 = 24", "B": "x + x/3 = 24", "C": "3x - x = 24", "D": "x/3 - x = 24"}, "correct_answer": "C"},
    {"id": 48, "difficulty": "hard", "question": "One-half of a number plus one-third of it equals 30.", "options": {"A": "x/2 + x/3 = 30", "B": "x/3 + x = 30", "C": "3x + 2x = 30", "D": "x/2 - x/3 = 30"}, "correct_answer": "D"},
    {"id": 49, "difficulty": "hard", "question": "A number is 4 more than its half.", "options": {"A": "x = x/2 + 4", "B": "x/2 = x + 4", "C": "2x = x + 4", "D": "x - 4 = x/2"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "hard", "question": "Twice a number minus one-fifth of it equals 27.", "options": {"A": "2x - x/5 = 27", "B": "x/5 - 2x = 27", "C": "2 - 5x = 27", "D": "5x - 2 = 27"}, "correct_answer": "B"},
    {"id": 51, "difficulty": "hard", "question": "A number added to its one-fourth gives 50.", "options": {"A": "x + x/4 = 50", "B": "x - x/4 = 50", "C": "4x + x = 50", "D": "x/4 - x = 50"}, "correct_answer": "C"},
    {"id": 52, "difficulty": "hard", "question": "One-third of a number decreased by 7 equals 12.", "options": {"A": "x/3 - 7 = 12", "B": "x/3 + 7 = 12", "C": "3x - 7 = 12", "D": "x - 7/3 = 12"}, "correct_answer": "D"},
    {"id": 53, "difficulty": "hard", "question": "A number such that thrice it minus 11 equals twice it plus 9.", "options": {"A": "3x - 11 = 2x + 9", "B": "3x + 11 = 2x + 9", "C": "2x - 11 = 3x + 9", "D": "11 - 3x = 9 - 2x"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "hard", "question": "A number increased by 8 equals its triple minus 10.", "options": {"A": "x + 8 = 3x - 10", "B": "x - 8 = 3x + 10", "C": "3x + 8 = x - 10", "D": "x + 10 = 3x - 8"}, "correct_answer": "B"},
    {"id": 55, "difficulty": "hard", "question": "A number whose double plus 5 equals its triple minus 15.", "options": {"A": "2x + 5 = 3x - 15", "B": "2x - 5 = 3x + 15", "C": "3x + 5 = 2x - 15", "D": "2x + 15 = 3x - 5"}, "correct_answer": "C"},
    {"id": 56, "difficulty": "hard", "question": "One-fourth of a number plus 3 equals 18.", "options": {"A": "x/4 + 3 = 18", "B": "x + 4/3 = 18", "C": "4x + 3 = 18", "D": "x/4 - 3 = 18"}, "correct_answer": "D"},
    {"id": 57, "difficulty": "hard", "question": "A number reduced by twice itself equals -36.", "options": {"A": "x - 2x = -36", "B": "x + 2x = -36", "C": "2x - x = -36", "D": "36 - x = 2x"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "hard", "question": "A number whose three-fourths is 21.", "options": {"A": "(3/4)x = 21", "B": "(4/3)x = 21", "C": "x/3 = 21", "D": "x - 3/4 = 21"}, "correct_answer": "B"},
    {"id": 59, "difficulty": "hard", "question": "A number whose one-ninth increased by 11 equals 20.", "options": {"A": "x/9 + 11 = 20", "B": "9x + 11 = 20", "C": "x - 11/9 = 20", "D": "x/9 - 11 = 20"}, "correct_answer": "C"},
    {"id": 60, "difficulty": "hard", "question": "A number increased by four times itself equals 125.", "options": {"A": "x + 4x = 125", "B": "4x - x = 125", "C": "x/4 + x = 125", "D": "x - 4x = 125"}, "correct_answer": "D"}

  ]
}