{
  "title": "Forming Algebraic Equations - Grade 7 CBSE",
  "total_questions": 150,
  "questions": [


    {"id": 1, "difficulty": "easy", "question": "Write the equation: A number increased by 5 is 12.", "options": {"A": "x + 5 = 12", "B": "x - 5 = 12", "C": "x × 5 = 12", "D": "x ÷ 5 = 12"}, "correct_answer": "A"},
    {"id": 2, "difficulty": "easy", "question": "Write the equation: A number decreased by 7 is 9.", "options": {"A": "x + 7 = 9", "B": "x - 7 = 9", "C": "x × 7 = 9", "D": "x ÷ 7 = 9"}, "correct_answer": "B"},
    {"id": 3, "difficulty": "easy", "question": "Write the equation: Twice a number is 18.", "options": {"A": "x + 2 = 18", "B": "x - 2 = 18", "C": "2x = 18", "D": "x ÷ 2 = 18"}, "correct_answer": "C"},
    {"id": 4, "difficulty": "easy", "question": "Write the equation: A number divided by 3 is 4.", "options": {"A": "x × 3 = 4", "B": "x - 3 = 4", "C": "x + 3 = 4", "D": "x ÷ 3 = 4"}, "correct_answer": "D"},
    {"id": 5, "difficulty": "easy", "question": "Write the equation: A number increased by 11 equals 30.", "options": {"A": "x + 11 = 30", "B": "x - 11 = 30", "C": "x × 11 = 30", "D": "x ÷ 11 = 30"}, "correct_answer": "A"},
    {"id": 6, "difficulty": "easy", "question": "Write the equation: A number minus 15 is 10.", "options": {"A": "x + 15 = 10", "B": "x - 15 = 10", "C": "x × 15 = 10", "D": "x ÷ 15 = 10"}, "correct_answer": "B"},
    {"id": 7, "difficulty": "easy", "question": "Write the equation: Three times a number is 27.", "options": {"A": "x + 3 = 27", "B": "x - 3 = 27", "C": "3x = 27", "D": "x ÷ 3 = 27"}, "correct_answer": "C"},
    {"id": 8, "difficulty": "easy", "question": "Write the equation: A number divided by 5 gives 6.", "options": {"A": "5x = 6", "B": "x + 5 = 6", "C": "x - 5 = 6", "D": "x ÷ 5 = 6"}, "correct_answer": "D"},
    {"id": 9, "difficulty": "easy", "question": "Write the equation: Four more than a number is 20.", "options": {"A": "x + 4 = 20", "B": "x - 4 = 20", "C": "4x = 20", "D": "x ÷ 4 = 20"}, "correct_answer": "A"},
    {"id": 10, "difficulty": "easy", "question": "Write the equation: Six less than a number is 9.", "options": {"A": "x + 6 = 9", "B": "x - 6 = 9", "C": "6x = 9", "D": "x ÷ 6 = 9"}, "correct_answer": "B"},
    {"id": 11, "difficulty": "easy", "question": "Write the equation: Five times a number makes 45.", "options": {"A": "x + 5 = 45", "B": "x - 5 = 45", "C": "5x = 45", "D": "x ÷ 5 = 45"}, "correct_answer": "C"},
    {"id": 12, "difficulty": "easy", "question": "Write the equation: A number divided by 2 equals 14.", "options": {"A": "x × 2 = 14", "B": "x + 2 = 14", "C": "x - 2 = 14", "D": "x ÷ 2 = 14"}, "correct_answer": "D"},
    {"id": 13, "difficulty": "easy", "question": "Write the equation: Ten more than a number is 50.", "options": {"A": "x + 10 = 50", "B": "x - 10 = 50", "C": "10x = 50", "D": "x ÷ 10 = 50"}, "correct_answer": "A"},
    {"id": 14, "difficulty": "easy", "question": "Write the equation: A number decreased by 9 equals 15.", "options": {"A": "x + 9 = 15", "B": "x - 9 = 15", "C": "x × 9 = 15", "D": "x ÷ 9 = 15"}, "correct_answer": "B"},
    {"id": 15, "difficulty": "easy", "question": "Write the equation: A number multiplied by 4 equals 36.", "options": {"A": "x + 4 = 36", "B": "x - 4 = 36", "C": "4x = 36", "D": "x ÷ 4 = 36"}, "correct_answer": "C"},
    {"id": 16, "difficulty": "easy", "question": "Write the equation: A number divided by 8 gives 7.", "options": {"A": "x × 8 = 7", "B": "x + 8 = 7", "C": "x - 8 = 7", "D": "x ÷ 8 = 7"}, "correct_answer": "D"},
    {"id": 17, "difficulty": "easy", "question": "Write the equation: Four multiplied by a number equals 28.", "options": {"A": "4x = 28", "B": "x + 4 = 28", "C": "x - 4 = 28", "D": "x ÷ 4 = 28"}, "correct_answer": "A"},
    {"id": 18, "difficulty": "easy", "question": "Write the equation: Nine more than a number is 31.", "options": {"A": "x + 9 = 31", "B": "x - 9 = 31", "C": "9x = 31", "D": "x ÷ 9 = 31"}, "correct_answer": "B"},
    {"id": 19, "difficulty": "easy", "question": "Write the equation: Twice a number equals 50.", "options": {"A": "x + 2 = 50", "B": "x - 2 = 50", "C": "2x = 50", "D": "x ÷ 2 = 50"}, "correct_answer": "C"},
    {"id": 20, "difficulty": "easy", "question": "Write the equation: A number decreased by 12 is 8.", "options": {"A": "x + 12 = 8", "B": "x - 12 = 8", "C": "12x = 8", "D": "x ÷ 12 = 8"}, "correct_answer": "D"},

    {"id": 21, "difficulty": "medium", "question": "Write the equation: A number increased by 4 results in 3 times the number.", "options": {"A": "x + 4 = 3x", "B": "x - 4 = 3x", "C": "4x = 3", "D": "x + 3 = 4x"}, "correct_answer": "A"},
    {"id": 22, "difficulty": "medium", "question": "Write the equation: A number decreased by 6 equals twice the number.", "options": {"A": "x + 6 = 2x", "B": "x - 6 = 2x", "C": "6x = 2", "D": "x ÷ 6 = 2x"}, "correct_answer": "B"},
    {"id": 23, "difficulty": "medium", "question": "Write the equation: Three times a number exceeds the number by 14.", "options": {"A": "3x = x + 10", "B": "3x = x + 12", "C": "3x = x + 14", "D": "3x = x + 16"}, "correct_answer": "C"},
    {"id": 24, "difficulty": "medium", "question": "Write the equation: A number divided by 4 is 6 less than the number.", "options": {"A": "x ÷ 4 = x - 5", "B": "x ÷ 4 = x - 6", "C": "x ÷ 4 = x - 7", "D": "x ÷ 4 = x - 8"}, "correct_answer": "D"},
    {"id": 25, "difficulty": "medium", "question": "Write the equation: Five times a number is 20 more than the number.", "options": {"A": "5x = x + 10", "B": "5x = x + 15", "C": "5x = x + 20", "D": "5x = x + 25"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "Write the equation: A number divided by 7 gives 5 less than the number.", "options": {"A": "x ÷ 7 = x - 3", "B": "x ÷ 7 = x - 4", "C": "x ÷ 7 = x - 5", "D": "x ÷ 7 = x - 6"}, "correct_answer": "B"},
    {"id": 27, "difficulty": "medium", "question": "Write the equation: One third of a number is 8 less than the number.", "options": {"A": "x ÷ 3 = x - 5", "B": "x ÷ 3 = x - 6", "C": "x ÷ 3 = x - 7", "D": "x ÷ 3 = x - 8"}, "correct_answer": "C"},
    {"id": 28, "difficulty": "medium", "question": "Write the equation: A number increased by 12 gives twice the number.", "options": {"A": "x + 12 = 2x", "B": "x - 12 = 2x", "C": "x + 12 = 3x", "D": "2x + 12 = x"}, "correct_answer": "D"},
    {"id": 29, "difficulty": "medium", "question": "Write the equation: A number multiplied by 6 exceeds the number by 25.", "options": {"A": "6x = x + 20", "B": "6x = x + 25", "C": "6x = x + 30", "D": "6x = x + 35"}, "correct_answer": "A"},
    {"id": 30, "difficulty": "medium", "question": "Write the equation: Half of a number is 10 less than the number.", "options": {"A": "x ÷ 2 = x - 5", "B": "x ÷ 2 = x - 8", "C": "x ÷ 2 = x - 10", "D": "x ÷ 2 = x - 12"}, "correct_answer": "B"},
    {"id": 31, "difficulty": "medium", "question": "Write the equation: Triple a number is 4 more than double the number.", "options": {"A": "3x = 2x + 2", "B": "3x = 2x + 3", "C": "3x = 2x + 4", "D": "3x = 2x + 5"}, "correct_answer": "C"},
    {"id": 32, "difficulty": "medium", "question": "Write the equation: Four times a number is 16 more than the number.", "options": {"A": "4x = x + 12", "B": "4x = x + 14", "C": "4x = x + 16", "D": "4x = x + 18"}, "correct_answer": "D"},
    {"id": 33, "difficulty": "medium", "question": "Write the equation: Double a number equals 30.", "options": {"A": "2x = 28", "B": "2x = 30", "C": "x + 2 = 30", "D": "x - 2 = 30"}, "correct_answer": "A"},
    {"id": 34, "difficulty": "medium", "question": "Write the equation: A number plus 18 gives 3 times the number.", "options": {"A": "x + 18 = 2x", "B": "x + 18 = 3x", "C": "x - 18 = 3x", "D": "3x + 18 = x"}, "correct_answer": "B"},
    {"id": 35, "difficulty": "medium", "question": "Write the equation: Five less than double a number equals 35.", "options": {"A": "2x - 5 = 35", "B": "2x + 5 = 35", "C": "x - 5 = 35", "D": "3x - 5 = 35"}, "correct_answer": "C"},
    {"id": 36, "difficulty": "medium", "question": "Write the equation: One fourth of a number plus 6 equals the number.", "options": {"A": "x ÷ 4 + 6 = x", "B": "x ÷ 4 - 6 = x", "C": "x × 4 + 6 = x", "D": "x ÷ 4 + 6 = 2x"}, "correct_answer": "D"},
    {"id": 37, "difficulty": "medium", "question": "Write the equation: A number minus 15 is equal to twice the number.", "options": {"A": "x + 15 = 2x", "B": "x - 15 = 2x", "C": "15x = 2", "D": "x ÷ 15 = 2x"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "Write the equation: A number multiplied by 9 equals 54.", "options": {"A": "9x = 50", "B": "9x = 54", "C": "x - 9 = 54", "D": "x ÷ 9 = 54"}, "correct_answer": "B"},
    {"id": 39, "difficulty": "medium", "question": "Write the equation: Ten less than a number equals 40.", "options": {"A": "x + 10 = 40", "B": "x - 10 = 40", "C": "10x = 40", "D": "x ÷ 10 = 40"}, "correct_answer": "C"},
    {"id": 40, "difficulty": "medium", "question": "Write the equation: Three times a number equals 7 more than the number.", "options": {"A": "3x = x + 5", "B": "3x = x + 6", "C": "3x = x + 7", "D": "3x = x + 8"}, "correct_answer": "D"},

 
    {"id": 41, "difficulty": "hard", "question": "Write the equation: Five more than triple a number equals twice the number.", "options": {"A": "3x + 5 = 2x", "B": "3x - 5 = 2x", "C": "3x + 5 = x", "D": "3x = 2x + 5"}, "correct_answer": "A"},
    {"id": 42, "difficulty": "hard", "question": "Write the equation: Seven less than 4 times a number equals 15.", "options": {"A": "4x + 7 = 15", "B": "4x - 7 = 15", "C": "7x - 4 = 15", "D": "x ÷ 7 - 4 = 15"}, "correct_answer": "B"},
    {"id": 43, "difficulty": "hard", "question": "Write the equation: One third of a number minus 11 equals the number.", "options": {"A": "x ÷ 3 + 11 = x", "B": "x ÷ 3 - 11 = x", "C": "x × 3 - 11 = x", "D": "x ÷ 3 - 11 = 2x"}, "correct_answer": "C"},
    {"id": 44, "difficulty": "hard", "question": "Write the equation: Twice a number plus 18 gives 5 times the number.", "options": {"A": "2x + 18 = 4x", "B": "2x + 18 = 5x", "C": "2x - 18 = 5x", "D": "2x + 18 = 6x"}, "correct_answer": "D"},
    {"id": 45, "difficulty": "hard", "question": "Write the equation: A number multiplied by 12 is 48 more than the number.", "options": {"A": "12x = x + 40", "B": "12x = x + 48", "C": "12x = x + 50", "D": "12x = x + 60"}, "correct_answer": "A"},
    {"id": 46, "difficulty": "hard", "question": "Write the equation: One fourth of a number is 16 less than three fourths of the number.", "options": {"A": "x ÷ 4 = 3x ÷ 4 + 16", "B": "x ÷ 4 + 16 = 3x ÷ 4", "C": "x ÷ 4 - 16 = 3x ÷ 4", "D": "3x ÷ 4 - 16 = x"}, "correct_answer": "B"},
    {"id": 47, "difficulty": "hard", "question": "Write the equation: Ten more than twice a number equals half the number.", "options": {"A": "2x + 10 = x ÷ 2", "B": "x + 10 = 2x ÷ 2", "C": "2x - 10 = x ÷ 2", "D": "2x + 10 = 3x"}, "correct_answer": "C"},
    {"id": 48, "difficulty": "hard", "question": "Write the equation: Number multiplied by 15 exceeds double the number by 45.", "options": {"A": "15x = 2x + 30", "B": "15x = 2x + 45", "C": "15x = 3x + 45", "D": "15x = x + 45"}, "correct_answer": "D"},
    {"id": 49, "difficulty": "hard", "question": "Write the equation: One-sixth of a number is 12 less than half the number.", "options": {"A": "x ÷ 6 = x ÷ 2 - 10", "B": "x ÷ 6 = x ÷ 2 - 12", "C": "x ÷ 6 + 12 = x ÷ 2", "D": "x ÷ 6 - 12 = x ÷ 2"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "hard", "question": "Write the equation: 3 times a number plus 27 equals 6 times the number.", "options": {"A": "3x + 27 = 5x", "B": "3x + 27 = 6x", "C": "6x + 27 = 3x", "D": "3x - 27 = 6x"}, "correct_answer": "B"},
    {"id": 51, "difficulty": "hard", "question": "Write the equation: One more than thrice a number equals seven times the number.", "options": {"A": "3x + 1 = 7x", "B": "3x - 1 = 7x", "C": "3x + 7 = x", "D": "3x + 1 = 6x"}, "correct_answer": "C"},
    {"id": 52, "difficulty": "hard", "question": "Write the equation: A number multiplied by 9 gives 84 more than the number.", "options": {"A": "9x = x + 70", "B": "9x = x + 80", "C": "9x = x + 84", "D": "9x = x + 90"}, "correct_answer": "D"},
    {"id": 53, "difficulty": "hard", "question": "Write the equation: One-third of a number equals 20 less than the number.", "options": {"A": "x ÷ 3 = x - 18", "B": "x ÷ 3 = x - 19", "C": "x ÷ 3 = x - 20", "D": "x ÷ 3 = x - 21"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "hard", "question": "Write the equation: A number minus 40 equals twice the same number minus 60.", "options": {"A": "x - 40 = 2x - 50", "B": "x - 40 = 2x - 60", "C": "x - 40 = 2x - 70", "D": "x - 40 = 2x - 80"}, "correct_answer": "B"},
    {"id": 55, "difficulty": "hard", "question": "Write the equation: Seven more than half a number equals double the number.", "options": {"A": "x ÷ 2 + 7 = x", "B": "x ÷ 2 + 7 = 2x", "C": "x ÷ 2 - 7 = 2x", "D": "2x + 7 = x ÷ 2"}, "correct_answer": "C"},
    {"id": 56, "difficulty": "hard", "question": "Write the equation: A number decreased by 25 equals thrice the number minus 55.", "options": {"A": "x - 25 = 3x - 45", "B": "x - 25 = 3x - 50", "C": "x - 25 = 3x - 55", "D": "x - 25 = 3x - 60"}, "correct_answer": "D"},
    {"id": 57, "difficulty": "hard", "question": "Write the equation: One-fourth of a number equals the number minus 45.", "options": {"A": "x ÷ 4 = x - 40", "B": "x ÷ 4 = x - 42", "C": "x ÷ 4 = x - 45", "D": "x ÷ 4 = x - 48"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "hard", "question": "Write the equation: 3 more than twice a number equals 4 less than the number.", "options": {"A": "2x + 3 = x - 5", "B": "2x + 3 = x - 4", "C": "2x + 3 = x - 3", "D": "2x + 3 = x - 2"}, "correct_answer": "B"},
    {"id": 59, "difficulty": "hard", "question": "Write the equation: A number multiplied by 20 exceeds the number by 180.", "options": {"A": "20x = x + 150", "B": "20x = x + 160", "C": "20x = x + 170", "D": "20x = x + 180"}, "correct_answer": "C"},
    {"id": 60, "difficulty": "hard", "question": "Write the equation: One-eighth of a number plus 30 equals the number.", "options": {"A": "x ÷ 8 + 30 = x", "B": "x ÷ 8 - 30 = x", "C": "x × 8 + 30 = x", "D": "x ÷ 8 + 30 = 2x"}, "correct_answer": "D"}
,
{"id":61,"difficulty":"easy","question":"Write the equation: A number increased by 3 equals 10.","options":{"A":"x + 3 = 10","B":"x - 3 = 10","C":"3x = 10","D":"x ÷ 3 = 10"},"correct_answer":"A"},
  {"id":62,"difficulty":"easy","question":"Write the equation: A number reduced by 4 is 11.","options":{"A":"x + 4 = 11","B":"x - 4 = 11","C":"4x = 11","D":"x ÷ 4 = 11"},"correct_answer":"B"},
  {"id":63,"difficulty":"easy","question":"Write the equation: Double a number is 24.","options":{"A":"x + 2 = 24","B":"x - 2 = 24","C":"2x = 24","D":"x ÷ 2 = 24"},"correct_answer":"C"},
  {"id":64,"difficulty":"easy","question":"Write the equation: A number divided by 6 equals 5.","options":{"A":"6x = 5","B":"x + 6 = 5","C":"x - 6 = 5","D":"x ÷ 6 = 5"},"correct_answer":"D"},
  {"id":65,"difficulty":"easy","question":"Write the equation: Seven more than a number is 18.","options":{"A":"x + 7 = 18","B":"x - 7 = 18","C":"7x = 18","D":"x ÷ 7 = 18"},"correct_answer":"A"},
  {"id":66,"difficulty":"easy","question":"Write the equation: A number minus 9 equals 6.","options":{"A":"x + 9 = 6","B":"x - 9 = 6","C":"9x = 6","D":"x ÷ 9 = 6"},"correct_answer":"B"},
  {"id":67,"difficulty":"easy","question":"Write the equation: Four times a number equals 40.","options":{"A":"x + 4 = 40","B":"x - 4 = 40","C":"4x = 40","D":"x ÷ 4 = 40"},"correct_answer":"C"},
  {"id":68,"difficulty":"easy","question":"Write the equation: A number divided by 10 is 3.","options":{"A":"10x = 3","B":"x + 10 = 3","C":"x - 10 = 3","D":"x ÷ 10 = 3"},"correct_answer":"D"},
  {"id":69,"difficulty":"easy","question":"Write the equation: Eight more than a number is 22.","options":{"A":"x + 8 = 22","B":"x - 8 = 22","C":"8x = 22","D":"x ÷ 8 = 22"},"correct_answer":"A"},
  {"id":70,"difficulty":"easy","question":"Write the equation: A number decreased by 5 equals 14.","options":{"A":"x + 5 = 14","B":"x - 5 = 14","C":"5x = 14","D":"x ÷ 5 = 14"},"correct_answer":"B"},
  {"id":71,"difficulty":"easy","question":"Write the equation: Three times a number equals 21.","options":{"A":"x + 3 = 21","B":"x - 3 = 21","C":"3x = 21","D":"x ÷ 3 = 21"},"correct_answer":"C"},
  {"id":72,"difficulty":"easy","question":"Write the equation: A number divided by 4 equals 9.","options":{"A":"4x = 9","B":"x + 4 = 9","C":"x - 4 = 9","D":"x ÷ 4 = 9"},"correct_answer":"D"},
  {"id":73,"difficulty":"easy","question":"Write the equation: Five more than a number equals 17.","options":{"A":"x + 5 = 17","B":"x - 5 = 17","C":"5x = 17","D":"x ÷ 5 = 17"},"correct_answer":"A"},
  {"id":74,"difficulty":"easy","question":"Write the equation: A number minus 11 equals 4.","options":{"A":"x + 11 = 4","B":"x - 11 = 4","C":"11x = 4","D":"x ÷ 11 = 4"},"correct_answer":"B"},
  {"id":75,"difficulty":"easy","question":"Write the equation: Twice a number equals 32.","options":{"A":"x + 2 = 32","B":"x - 2 = 32","C":"2x = 32","D":"x ÷ 2 = 32"},"correct_answer":"C"},
  {"id":76,"difficulty":"easy","question":"Write the equation: A number divided by 7 equals 6.","options":{"A":"7x = 6","B":"x + 7 = 6","C":"x - 7 = 6","D":"x ÷ 7 = 6"},"correct_answer":"D"},
  {"id":77,"difficulty":"easy","question":"Write the equation: Nine more than a number is 25.","options":{"A":"x + 9 = 25","B":"x - 9 = 25","C":"9x = 25","D":"x ÷ 9 = 25"},"correct_answer":"A"},
  {"id":78,"difficulty":"easy","question":"Write the equation: A number decreased by 14 equals 6.","options":{"A":"x + 14 = 6","B":"x - 14 = 6","C":"14x = 6","D":"x ÷ 14 = 6"},"correct_answer":"B"},
  {"id":79,"difficulty":"easy","question":"Write the equation: Six times a number equals 54.","options":{"A":"x + 6 = 54","B":"x - 6 = 54","C":"6x = 54","D":"x ÷ 6 = 54"},"correct_answer":"C"},
  {"id":80,"difficulty":"easy","question":"Write the equation: A number divided by 9 equals 8.","options":{"A":"9x = 8","B":"x + 9 = 8","C":"x - 9 = 8","D":"x ÷ 9 = 8"},"correct_answer":"D"},
  {"id":81,"difficulty":"easy","question":"Write the equation: Ten more than a number is 41.","options":{"A":"x + 10 = 41","B":"x - 10 = 41","C":"10x = 41","D":"x ÷ 10 = 41"},"correct_answer":"A"},
  {"id":82,"difficulty":"easy","question":"Write the equation: A number minus 16 equals 9.","options":{"A":"x + 16 = 9","B":"x - 16 = 9","C":"16x = 9","D":"x ÷ 16 = 9"},"correct_answer":"B"},
  {"id":83,"difficulty":"easy","question":"Write the equation: Seven times a number equals 63.","options":{"A":"x + 7 = 63","B":"x - 7 = 63","C":"7x = 63","D":"x ÷ 7 = 63"},"correct_answer":"C"},
  {"id":84,"difficulty":"easy","question":"Write the equation: A number divided by 11 equals 2.","options":{"A":"11x = 2","B":"x + 11 = 2","C":"x - 11 = 2","D":"x ÷ 11 = 2"},"correct_answer":"D"},
  {"id":85,"difficulty":"easy","question":"Write the equation: Four more than a number is 19.","options":{"A":"x + 4 = 19","B":"x - 4 = 19","C":"4x = 19","D":"x ÷ 4 = 19"},"correct_answer":"A"},
  {"id":86,"difficulty":"easy","question":"Write the equation: A number decreased by 13 equals 7.","options":{"A":"x + 13 = 7","B":"x - 13 = 7","C":"13x = 7","D":"x ÷ 13 = 7"},"correct_answer":"B"},
  {"id":87,"difficulty":"easy","question":"Write the equation: Eight times a number equals 64.","options":{"A":"x + 8 = 64","B":"x - 8 = 64","C":"8x = 64","D":"x ÷ 8 = 64"},"correct_answer":"C"},
  {"id":88,"difficulty":"easy","question":"Write the equation: A number divided by 12 equals 5.","options":{"A":"12x = 5","B":"x + 12 = 5","C":"x - 12 = 5","D":"x ÷ 12 = 5"},"correct_answer":"D"},
  {"id":89,"difficulty":"easy","question":"Write the equation: Eleven more than a number equals 26.","options":{"A":"x + 11 = 26","B":"x - 11 = 26","C":"11x = 26","D":"x ÷ 11 = 26"},"correct_answer":"A"},
  {"id":90,"difficulty":"easy","question":"Write the equation: A number minus 18 equals 12.","options":{"A":"x + 18 = 12","B":"x - 18 = 12","C":"18x = 12","D":"x ÷ 18 = 12"},"correct_answer":"B"},

  {"id":91,"difficulty":"medium","question":"Write the equation: A number plus 6 equals twice the number.","options":{"A":"x + 6 = 2x","B":"x - 6 = 2x","C":"2x + 6 = x","D":"x ÷ 6 = 2x"},"correct_answer":"A"},
  {"id":92,"difficulty":"medium","question":"Write the equation: Three times a number is 12 more than the number.","options":{"A":"3x = x + 10","B":"3x = x + 12","C":"3x = x + 14","D":"3x = x + 16"},"correct_answer":"B"},
  {"id":93,"difficulty":"medium","question":"Write the equation: Half of a number equals the number minus 9.","options":{"A":"x ÷ 2 = x - 7","B":"x ÷ 2 = x - 8","C":"x ÷ 2 = x - 9","D":"x ÷ 2 = x - 10"},"correct_answer":"C"},
  {"id":94,"difficulty":"medium","question":"Write the equation: Five times a number equals the number plus 24.","options":{"A":"5x = x + 20","B":"5x = x + 22","C":"5x = x + 24","D":"5x = x + 26"},"correct_answer":"C"},
  {"id":95,"difficulty":"medium","question":"Write the equation: A number divided by 3 equals 10 less than the number.","options":{"A":"x ÷ 3 = x - 8","B":"x ÷ 3 = x - 9","C":"x ÷ 3 = x - 10","D":"x ÷ 3 = x - 11"},"correct_answer":"C"},
  {"id":96,"difficulty":"medium","question":"Write the equation: Double a number is 14 more than the number.","options":{"A":"2x = x + 12","B":"2x = x + 14","C":"2x = x + 16","D":"2x = x + 18"},"correct_answer":"B"},
  {"id":97,"difficulty":"medium","question":"Write the equation: One fourth of a number is 6 less than the number.","options":{"A":"x ÷ 4 = x - 4","B":"x ÷ 4 = x - 5","C":"x ÷ 4 = x - 6","D":"x ÷ 4 = x - 7"},"correct_answer":"C"},
  {"id":98,"difficulty":"medium","question":"Write the equation: Seven times a number equals 3 times the number plus 28.","options":{"A":"7x = 3x + 26","B":"7x = 3x + 28","C":"7x = 3x + 30","D":"7x = 3x + 32"},"correct_answer":"B"},
  {"id":99,"difficulty":"medium","question":"Write the equation: A number increased by 15 equals four times the number.","options":{"A":"x + 15 = 3x","B":"x + 15 = 4x","C":"x - 15 = 4x","D":"4x + 15 = x"},"correct_answer":"B"},
  {"id":100,"difficulty":"medium","question":"Write the equation: One third of a number equals 12 less than the number.","options":{"A":"x ÷ 3 = x - 10","B":"x ÷ 3 = x - 11","C":"x ÷ 3 = x - 12","D":"x ÷ 3 = x - 13"},"correct_answer":"C"},

  {"id":121,"difficulty":"hard","question":"Write the equation: Three more than twice a number equals half the number.","options":{"A":"2x + 3 = x ÷ 2","B":"2x - 3 = x ÷ 2","C":"x + 3 = 2x ÷ 2","D":"2x + 3 = x"},"correct_answer":"A"},
  {"id":122,"difficulty":"hard","question":"Write the equation: One fifth of a number plus 10 equals the number.","options":{"A":"x ÷ 5 + 10 = x","B":"x ÷ 5 - 10 = x","C":"5x + 10 = x","D":"x ÷ 5 + 10 = 2x"},"correct_answer":"A"},
  {"id":123,"difficulty":"hard","question":"Write the equation: Seven less than three times a number equals 20.","options":{"A":"3x + 7 = 20","B":"3x - 7 = 20","C":"7x - 3 = 20","D":"x ÷ 7 - 3 = 20"},"correct_answer":"B"},
  {"id":124,"difficulty":"hard","question":"Write the equation: A number multiplied by 8 is 40 more than the number.","options":{"A":"8x = x + 36","B":"8x = x + 40","C":"8x = x + 44","D":"8x = x + 48"},"correct_answer":"B"},
  {"id":125,"difficulty":"hard","question":"Write the equation: Half a number minus 9 equals one fourth of the number.","options":{"A":"x ÷ 2 - 9 = x ÷ 4","B":"x ÷ 2 + 9 = x ÷ 4","C":"x ÷ 4 - 9 = x ÷ 2","D":"x ÷ 2 - 9 = x"},"correct_answer":"A"},
  {"id":126,"difficulty":"hard","question":"Write the equation: Four times a number plus 12 equals six times the number.","options":{"A":"4x + 12 = 5x","B":"4x + 12 = 6x","C":"6x + 12 = 4x","D":"4x - 12 = 6x"},"correct_answer":"B"},
  {"id":127,"difficulty":"hard","question":"Write the equation: One sixth of a number equals the number minus 20.","options":{"A":"x ÷ 6 = x - 18","B":"x ÷ 6 = x - 19","C":"x ÷ 6 = x - 20","D":"x ÷ 6 = x - 21"},"correct_answer":"C"},
  {"id":128,"difficulty":"hard","question":"Write the equation: Five times a number exceeds twice the number by 45.","options":{"A":"5x = 2x + 40","B":"5x = 2x + 45","C":"5x = 2x + 50","D":"5x = 2x + 55"},"correct_answer":"B"},
  {"id":129,"difficulty":"hard","question":"Write the equation: One-eighth of a number plus 18 equals the number.","options":{"A":"x ÷ 8 + 18 = x","B":"x ÷ 8 - 18 = x","C":"8x + 18 = x","D":"x ÷ 8 + 18 = 2x"},"correct_answer":"A"},
  {"id":130,"difficulty":"hard","question":"Write the equation: Nine more than four times a number equals five times the number.","options":{"A":"4x + 9 = 5x","B":"4x - 9 = 5x","C":"5x + 9 = 4x","D":"4x + 9 = 6x"},"correct_answer":"A"}
,{"id":101,"difficulty":"medium","question":"Write the equation: A number plus 9 equals three times the number.","options":{"A":"x + 9 = 3x","B":"x - 9 = 3x","C":"3x + 9 = x","D":"x ÷ 9 = 3x"},"correct_answer":"A"},
  {"id":102,"difficulty":"medium","question":"Write the equation: Four times a number is 20 more than the number.","options":{"A":"4x = x + 18","B":"4x = x + 20","C":"4x = x + 22","D":"4x = x + 24"},"correct_answer":"B"},
  {"id":103,"difficulty":"medium","question":"Write the equation: Half of a number equals the number minus 12.","options":{"A":"x ÷ 2 = x - 10","B":"x ÷ 2 = x - 11","C":"x ÷ 2 = x - 12","D":"x ÷ 2 = x - 13"},"correct_answer":"C"},
  {"id":104,"difficulty":"medium","question":"Write the equation: Six times a number equals twice the number plus 32.","options":{"A":"6x = 2x + 30","B":"6x = 2x + 32","C":"6x = 2x + 34","D":"6x = 2x + 36"},"correct_answer":"B"},
  {"id":105,"difficulty":"medium","question":"Write the equation: A number divided by 5 equals 14 less than the number.","options":{"A":"x ÷ 5 = x - 12","B":"x ÷ 5 = x - 13","C":"x ÷ 5 = x - 14","D":"x ÷ 5 = x - 15"},"correct_answer":"C"},
  {"id":106,"difficulty":"medium","question":"Write the equation: Triple a number is 18 more than the number.","options":{"A":"3x = x + 16","B":"3x = x + 17","C":"3x = x + 18","D":"3x = x + 19"},"correct_answer":"C"},
  {"id":107,"difficulty":"medium","question":"Write the equation: One fourth of a number equals the number minus 15.","options":{"A":"x ÷ 4 = x - 13","B":"x ÷ 4 = x - 14","C":"x ÷ 4 = x - 15","D":"x ÷ 4 = x - 16"},"correct_answer":"C"},
  {"id":108,"difficulty":"medium","question":"Write the equation: Eight times a number equals five times the number plus 21.","options":{"A":"8x = 5x + 20","B":"8x = 5x + 21","C":"8x = 5x + 22","D":"8x = 5x + 23"},"correct_answer":"B"},
  {"id":109,"difficulty":"medium","question":"Write the equation: A number increased by 25 equals six times the number.","options":{"A":"x + 25 = 5x","B":"x + 25 = 6x","C":"x - 25 = 6x","D":"6x + 25 = x"},"correct_answer":"B"},
  {"id":110,"difficulty":"medium","question":"Write the equation: One third of a number equals 15 less than the number.","options":{"A":"x ÷ 3 = x - 13","B":"x ÷ 3 = x - 14","C":"x ÷ 3 = x - 15","D":"x ÷ 3 = x - 16"},"correct_answer":"C"},
  {"id":111,"difficulty":"medium","question":"Write the equation: Five times a number equals the number plus 44.","options":{"A":"5x = x + 42","B":"5x = x + 44","C":"5x = x + 46","D":"5x = x + 48"},"correct_answer":"B"},
  {"id":112,"difficulty":"medium","question":"Write the equation: A number divided by 4 equals 9 less than the number.","options":{"A":"x ÷ 4 = x - 7","B":"x ÷ 4 = x - 8","C":"x ÷ 4 = x - 9","D":"x ÷ 4 = x - 10"},"correct_answer":"C"},
  {"id":113,"difficulty":"medium","question":"Write the equation: Seven times a number equals three times the number plus 36.","options":{"A":"7x = 3x + 34","B":"7x = 3x + 36","C":"7x = 3x + 38","D":"7x = 3x + 40"},"correct_answer":"B"},
  {"id":114,"difficulty":"medium","question":"Write the equation: A number increased by 18 equals five times the number.","options":{"A":"x + 18 = 4x","B":"x + 18 = 5x","C":"x - 18 = 5x","D":"5x + 18 = x"},"correct_answer":"B"},
  {"id":115,"difficulty":"medium","question":"Write the equation: Half of a number equals the number minus 20.","options":{"A":"x ÷ 2 = x - 18","B":"x ÷ 2 = x - 19","C":"x ÷ 2 = x - 20","D":"x ÷ 2 = x - 21"},"correct_answer":"C"},
  {"id":116,"difficulty":"medium","question":"Write the equation: Four times a number equals twice the number plus 28.","options":{"A":"4x = 2x + 26","B":"4x = 2x + 28","C":"4x = 2x + 30","D":"4x = 2x + 32"},"correct_answer":"B"},
  {"id":117,"difficulty":"medium","question":"Write the equation: One fifth of a number equals the number minus 16.","options":{"A":"x ÷ 5 = x - 14","B":"x ÷ 5 = x - 15","C":"x ÷ 5 = x - 16","D":"x ÷ 5 = x - 17"},"correct_answer":"C"},
  {"id":118,"difficulty":"medium","question":"Write the equation: Nine times a number equals six times the number plus 33.","options":{"A":"9x = 6x + 31","B":"9x = 6x + 33","C":"9x = 6x + 35","D":"9x = 6x + 37"},"correct_answer":"B"},
  {"id":119,"difficulty":"medium","question":"Write the equation: A number plus 30 equals seven times the number.","options":{"A":"x + 30 = 6x","B":"x + 30 = 7x","C":"x - 30 = 7x","D":"7x + 30 = x"},"correct_answer":"B"},
  {"id":120,"difficulty":"medium","question":"Write the equation: One fourth of a number equals 18 less than the number.","options":{"A":"x ÷ 4 = x - 16","B":"x ÷ 4 = x - 17","C":"x ÷ 4 = x - 18","D":"x ÷ 4 = x - 19"},"correct_answer":"C"},

  {"id":131,"difficulty":"hard","question":"Write the equation: Three times a number minus 7 equals half the number.","options":{"A":"3x - 7 = x ÷ 2","B":"3x + 7 = x ÷ 2","C":"x ÷ 2 - 7 = 3x","D":"3x - 7 = x"},"correct_answer":"A"},
  {"id":132,"difficulty":"hard","question":"Write the equation: One fifth of a number plus 14 equals the number.","options":{"A":"x ÷ 5 + 14 = x","B":"x ÷ 5 - 14 = x","C":"5x + 14 = x","D":"x ÷ 5 + 14 = 2x"},"correct_answer":"A"},
  {"id":133,"difficulty":"hard","question":"Write the equation: Eight less than four times a number equals 28.","options":{"A":"4x + 8 = 28","B":"4x - 8 = 28","C":"8x - 4 = 28","D":"x ÷ 8 - 4 = 28"},"correct_answer":"B"},
  {"id":134,"difficulty":"hard","question":"Write the equation: A number multiplied by 10 is 70 more than the number.","options":{"A":"10x = x + 68","B":"10x = x + 70","C":"10x = x + 72","D":"10x = x + 74"},"correct_answer":"B"},
  {"id":135,"difficulty":"hard","question":"Write the equation: Half a number plus 11 equals one fourth of the number.","options":{"A":"x ÷ 2 + 11 = x ÷ 4","B":"x ÷ 4 + 11 = x ÷ 2","C":"x ÷ 2 - 11 = x ÷ 4","D":"x ÷ 4 - 11 = x ÷ 2"},"correct_answer":"A"},
  {"id":136,"difficulty":"hard","question":"Write the equation: Five times a number minus 20 equals three times the number.","options":{"A":"5x - 20 = 2x","B":"5x - 20 = 3x","C":"3x - 20 = 5x","D":"5x + 20 = 3x"},"correct_answer":"B"},
  {"id":137,"difficulty":"hard","question":"Write the equation: One sixth of a number equals the number minus 25.","options":{"A":"x ÷ 6 = x - 23","B":"x ÷ 6 = x - 24","C":"x ÷ 6 = x - 25","D":"x ÷ 6 = x - 26"},"correct_answer":"C"},
  {"id":138,"difficulty":"hard","question":"Write the equation: Seven times a number exceeds twice the number by 55.","options":{"A":"7x = 2x + 50","B":"7x = 2x + 55","C":"7x = 2x + 60","D":"7x = 2x + 65"},"correct_answer":"B"},
  {"id":139,"difficulty":"hard","question":"Write the equation: One-tenth of a number plus 27 equals the number.","options":{"A":"x ÷ 10 + 27 = x","B":"x ÷ 10 - 27 = x","C":"10x + 27 = x","D":"x ÷ 10 + 27 = 2x"},"correct_answer":"A"},
  {"id":140,"difficulty":"hard","question":"Write the equation: Eleven more than five times a number equals six times the number.","options":{"A":"5x + 11 = 6x","B":"5x - 11 = 6x","C":"6x + 11 = 5x","D":"5x + 11 = 7x"},"correct_answer":"A"},
  {"id":141,"difficulty":"hard","question":"Write the equation: Twice a number minus 13 equals one third of the number.","options":{"A":"2x - 13 = x ÷ 3","B":"2x + 13 = x ÷ 3","C":"x ÷ 3 - 13 = 2x","D":"2x - 13 = x"},"correct_answer":"A"},
  {"id":142,"difficulty":"hard","question":"Write the equation: One fourth of a number plus 19 equals the number.","options":{"A":"x ÷ 4 + 19 = x","B":"x ÷ 4 - 19 = x","C":"4x + 19 = x","D":"x ÷ 4 + 19 = 2x"},"correct_answer":"A"},
  {"id":143,"difficulty":"hard","question":"Write the equation: Nine less than six times a number equals 33.","options":{"A":"6x + 9 = 33","B":"6x - 9 = 33","C":"9x - 6 = 33","D":"x ÷ 9 - 6 = 33"},"correct_answer":"B"},
  {"id":144,"difficulty":"hard","question":"Write the equation: A number multiplied by 14 is 84 more than the number.","options":{"A":"14x = x + 80","B":"14x = x + 84","C":"14x = x + 88","D":"14x = x + 92"},"correct_answer":"B"},
  {"id":145,"difficulty":"hard","question":"Write the equation: Half a number plus 17 equals one fifth of the number.","options":{"A":"x ÷ 2 + 17 = x ÷ 5","B":"x ÷ 5 + 17 = x ÷ 2","C":"x ÷ 2 - 17 = x ÷ 5","D":"x ÷ 5 - 17 = x ÷ 2"},"correct_answer":"A"},
  {"id":146,"difficulty":"hard","question":"Write the equation: Four times a number minus 36 equals twice the number.","options":{"A":"4x - 36 = x","B":"4x - 36 = 2x","C":"2x - 36 = 4x","D":"4x + 36 = 2x"},"correct_answer":"B"},
  {"id":147,"difficulty":"hard","question":"Write the equation: One seventh of a number equals the number minus 30.","options":{"A":"x ÷ 7 = x - 28","B":"x ÷ 7 = x - 29","C":"x ÷ 7 = x - 30","D":"x ÷ 7 = x - 31"},"correct_answer":"C"},
  {"id":148,"difficulty":"hard","question":"Write the equation: Ten times a number exceeds three times the number by 63.","options":{"A":"10x = 3x + 60","B":"10x = 3x + 63","C":"10x = 3x + 66","D":"10x = 3x + 69"},"correct_answer":"B"},
  {"id":149,"difficulty":"hard","question":"Write the equation: One-twelfth of a number plus 35 equals the number.","options":{"A":"x ÷ 12 + 35 = x","B":"x ÷ 12 - 35 = x","C":"12x + 35 = x","D":"x ÷ 12 + 35 = 2x"},"correct_answer":"A"},
  {"id":150,"difficulty":"hard","question":"Write the equation: Fifteen more than six times a number equals eight times the number.","options":{"A":"6x + 15 = 8x","B":"6x - 15 = 8x","C":"8x + 15 = 6x","D":"6x + 15 = 9x"},"correct_answer":"A"}

  ]
}