{
  "title": "Understanding Linear Expressions (Linear Equations) - Grade 8 CBSE",
  "total_questions": 60,
  "questions": [

    { "id": 1, "difficulty": "easy", "question": "What is the value of 3x when x = 2?", "options": {"A": "6", "B": "5", "C": "7", "D": "8"}, "correct_answer": "A" },
    { "id": 2, "difficulty": "easy", "question": "Evaluate: x + 4 when x = 6", "options": {"A": "8", "B": "10", "C": "12", "D": "14"}, "correct_answer": "B" },
    { "id": 3, "difficulty": "easy", "question": "Find: 5x − 3 when x = 3", "options": {"A": "10", "B": "11", "C": "12", "D": "13"}, "correct_answer": "C" },
    { "id": 4, "difficulty": "easy", "question": "What is 2x + 1 when x = 4?", "options": {"A": "7", "B": "8", "C": "9", "D": "10"}, "correct_answer": "D" },
    { "id": 5, "difficulty": "easy", "question": "Simplify: x + x", "options": {"A": "2x", "B": "x²", "C": "x/2", "D": "x + 1"}, "correct_answer": "A" },

    { "id": 6, "difficulty": "easy", "question": "Simplify: 3x + 2x", "options": {"A": "4x", "B": "5x", "C": "6x", "D": "7x"}, "correct_answer": "B" },
    { "id": 7, "difficulty": "easy", "question": "Evaluate: 4x − 2 when x = 2", "options": {"A": "4", "B": "5", "C": "6", "D": "7"}, "correct_answer": "C" },
    { "id": 8, "difficulty": "easy", "question": "Evaluate: x/2 when x = 10", "options": {"A": "3", "B": "4", "C": "5", "D": "6"}, "correct_answer": "D" },
    { "id": 9, "difficulty": "easy", "question": "Which is a linear expression?", "options": {"A": "2x + 3", "B": "x² + 3", "C": "3x²", "D": "x³"}, "correct_answer": "A" },
    { "id": 10, "difficulty": "easy", "question": "Simplify: 7x − 2x", "options": {"A": "3x", "B": "4x", "C": "5x", "D": "6x"}, "correct_answer": "B" },

    { "id": 11, "difficulty": "easy", "question": "Value of 9 + x when x = 8", "options": {"A": "16", "B": "17", "C": "18", "D": "19"}, "correct_answer": "C" },
    { "id": 12, "difficulty": "easy", "question": "Simplify: 10x − 4x", "options": {"A": "6x", "B": "7x", "C": "8x", "D": "9x"}, "correct_answer": "D" },
    { "id": 13, "difficulty": "easy", "question": "Evaluate: 2(x + 3) when x = 5", "options": {"A": "14", "B": "16", "C": "18", "D": "20"}, "correct_answer": "A" },
    { "id": 14, "difficulty": "easy", "question": "Which is a linear expression?", "options": {"A": "5x − 7", "B": "x² − 1", "C": "2x² + 3", "D": "x³ + 1"}, "correct_answer": "B" },
    { "id": 15, "difficulty": "easy", "question": "Value of 4x + 1 when x = 3", "options": {"A": "10", "B": "11", "C": "12", "D": "13"}, "correct_answer": "C" },

    { "id": 16, "difficulty": "easy", "question": "Simplify: x + x + x", "options": {"A": "2x", "B": "3x", "C": "4x", "D": "5x"}, "correct_answer": "D" },
    { "id": 17, "difficulty": "easy", "question": "Evaluate: 3x − 4 when x = 6", "options": {"A": "12", "B": "14", "C": "16", "D": "18"}, "correct_answer": "A" },
    { "id": 18, "difficulty": "easy", "question": "Evaluate: 6x + 2 when x = 3", "options": {"A": "18", "B": "20", "C": "22", "D": "24"}, "correct_answer": "B" },
    { "id": 19, "difficulty": "easy", "question": "Simplify: 12x − 3x", "options": {"A": "8x", "B": "9x", "C": "10x", "D": "11x"}, "correct_answer": "C" },
    { "id": 20, "difficulty": "easy", "question": "Which of these is linear?", "options": {"A": "2x + 7", "B": "x² + x", "C": "3x² + 1", "D": "x³"}, "correct_answer": "D" },

    { "id": 21, "difficulty": "medium", "question": "Simplify: 4x + 3x − 2", "options": {"A": "7x − 2", "B": "6x − 2", "C": "5x − 2", "D": "4x − 2"}, "correct_answer": "A" },
    { "id": 22, "difficulty": "medium", "question": "Simplify: 7x − 3x + 5", "options": {"A": "3x + 5", "B": "4x + 5", "C": "5x + 5", "D": "6x + 5"}, "correct_answer": "B" },
    { "id": 23, "difficulty": "medium", "question": "Expand: 3(x + 4)", "options": {"A": "3x + 12", "B": "3x + 10", "C": "3x + 14", "D": "3x + 16"}, "correct_answer": "C" },
    { "id": 24, "difficulty": "medium", "question": "Expand: 2(x − 5)", "options": {"A": "2x − 5", "B": "2x − 8", "C": "2x − 10", "D": "2x − 12"}, "correct_answer": "D" },
    { "id": 25, "difficulty": "medium", "question": "Simplify: 5(x − 3)", "options": {"A": "5x − 12", "B": "5x − 13", "C": "5x − 14", "D": "5x − 15"}, "correct_answer": "A" },

    { "id": 26, "difficulty": "medium", "question": "Expand: 4(2x + 1)", "options": {"A": "8x + 1", "B": "8x + 2", "C": "8x + 3", "D": "8x + 4"}, "correct_answer": "B" },
    { "id": 27, "difficulty": "medium", "question": "Expand: 3(2x − 7)", "options": {"A": "6x − 14", "B": "6x − 16", "C": "6x − 18", "D": "6x − 21"}, "correct_answer": "C" },
    { "id": 28, "difficulty": "medium", "question": "Simplify: 9x − 4 + 2x", "options": {"A": "10x − 4", "B": "11x − 4", "C": "12x − 4", "D": "13x − 4"}, "correct_answer": "D" },
    { "id": 29, "difficulty": "medium", "question": "Simplify: 6(x + 3)", "options": {"A": "6x + 16", "B": "6x + 18", "C": "6x + 20", "D": "6x + 22"}, "correct_answer": "A" },
    { "id": 30, "difficulty": "medium", "question": "Simplify: 8(x − 2)", "options": {"A": "8x − 14", "B": "8x − 15", "C": "8x − 16", "D": "8x − 17"}, "correct_answer": "B" },

    { "id": 31, "difficulty": "medium", "question": "Simplify: 3x + 4x − 6", "options": {"A": "5x − 6", "B": "6x − 6", "C": "7x − 6", "D": "8x − 6"}, "correct_answer": "C" },
    { "id": 32, "difficulty": "medium", "question": "Expand: 2(3x − 5)", "options": {"A": "6x − 10", "B": "6x − 12", "C": "6x − 14", "D": "6x − 16"}, "correct_answer": "D" },
    { "id": 33, "difficulty": "medium", "question": "Expand: 5(x + 6)", "options": {"A": "5x + 25", "B": "5x + 26", "C": "5x + 27", "D": "5x + 28"}, "correct_answer": "A" },
    { "id": 34, "difficulty": "medium", "question": "Simplify: 12x − 3x + 4", "options": {"A": "7x + 4", "B": "8x + 4", "C": "9x + 4", "D": "10x + 4"}, "correct_answer": "B" },
    { "id": 35, "difficulty": "medium", "question": "Expand: 7(x − 4)", "options": {"A": "7x − 25", "B": "7x − 26", "C": "7x − 27", "D": "7x − 28"}, "correct_answer": "C" },

    { "id": 36, "difficulty": "medium", "question": "Expand: 9(x + 3)", "options": {"A": "9x + 27", "B": "9x + 28", "C": "9x + 29", "D": "9x + 30"}, "correct_answer": "D" },
    { "id": 37, "difficulty": "medium", "question": "Simplify: 15x − 4x − 3", "options": {"A": "10x − 3", "B": "11x − 3", "C": "12x − 3", "D": "13x − 3"}, "correct_answer": "A" },
    { "id": 38, "difficulty": "medium", "question": "Expand: 4(x − 6)", "options": {"A": "4x − 20", "B": "4x − 22", "C": "4x − 24", "D": "4x − 26"}, "correct_answer": "B" },
    { "id": 39, "difficulty": "medium", "question": "Expand: 8(x + 1)", "options": {"A": "8x + 5", "B": "8x + 6", "C": "8x + 7", "D": "8x + 8"}, "correct_answer": "C" },
    { "id": 40, "difficulty": "medium", "question": "Simplify: 20x − 11x + 5", "options": {"A": "8x + 5", "B": "9x + 5", "C": "10x + 5", "D": "11x + 5"}, "correct_answer": "D" },

    { "id": 41, "difficulty": "hard", "question": "Simplify: 3(x + 4) − 2(x − 5)", "options": {"A": "x + 22", "B": "x + 23", "C": "x + 24", "D": "x + 25"}, "correct_answer": "A" },
    { "id": 42, "difficulty": "hard", "question": "Simplify: 4(x − 3) + 5(x + 2)", "options": {"A": "8x − 2", "B": "9x − 2", "C": "10x − 2", "D": "11x − 2"}, "correct_answer": "B" },
    { "id": 43, "difficulty": "hard", "question": "Simplify: 6(x + 7) − 4(x − 1)", "options": {"A": "2x + 42", "B": "2x + 43", "C": "2x + 44", "D": "2x + 45"}, "correct_answer": "C" },
    { "id": 44, "difficulty": "hard", "question": "Simplify: 5(2x − 3) − 3(x + 9)", "options": {"A": "7x − 42", "B": "7x − 43", "C": "7x − 44", "D": "7x − 45"}, "correct_answer": "D" },
    { "id": 45, "difficulty": "hard", "question": "Simplify: 7(x + 5) − 2(3x − 4)", "options": {"A": "x + 43", "B": "x + 44", "C": "x + 45", "D": "x + 46"}, "correct_answer": "A" },

    { "id": 46, "difficulty": "hard", "question": "Simplify: 8(x − 4) + 3(x + 7)", "options": {"A": "10x − 11", "B": "11x − 11", "C": "12x − 11", "D": "13x − 11"}, "correct_answer": "B" },
    { "id": 47, "difficulty": "hard", "question": "Simplify: 9(x + 3) − 4(2x − 5)", "options": {"A": "x + 47", "B": "x + 48", "C": "x + 49", "D": "x + 50"}, "correct_answer": "C" },
    { "id": 48, "difficulty": "hard", "question": "Simplify: 10(x − 2) + 4(x + 6)", "options": {"A": "10x + 20", "B": "12x + 20", "C": "14x + 20", "D": "16x + 20"}, "correct_answer": "D" },
    { "id": 49, "difficulty": "hard", "question": "Simplify: 11(x + 4) − 5(x − 7)", "options": {"A": "6x + 63", "B": "6x + 64", "C": "6x + 65", "D": "6x + 66"}, "correct_answer": "A" },
    { "id": 50, "difficulty": "hard", "question": "Simplify: 12(x − 3) + 6(x + 9)", "options": {"A": "16x + 42", "B": "16x + 43", "C": "16x + 44", "D": "16x + 45"}, "correct_answer": "B" },

    { "id": 51, "difficulty": "hard", "question": "Simplify: 13(x + 5) − 7(x − 6)", "options": {"A": "6x + 71", "B": "6x + 72", "C": "6x + 73", "D": "6x + 74"}, "correct_answer": "C" },
    { "id": 52, "difficulty": "hard", "question": "Simplify: 14(x − 7) + 8(x + 5)", "options": {"A": "22x − 58", "B": "22x − 57", "C": "22x − 56", "D": "22x − 55"}, "correct_answer": "D" },
    { "id": 53, "difficulty": "hard", "question": "Simplify: 15(x + 6) − 9(x − 8)", "options": {"A": "6x + 102", "B": "6x + 103", "C": "6x + 104", "D": "6x + 105"}, "correct_answer": "A" },
    { "id": 54, "difficulty": "hard", "question": "Simplify: 16(x − 9) + 10(x + 7)", "options": {"A": "26x − 44", "B": "26x − 43", "C": "26x − 42", "D": "26x − 41"}, "correct_answer": "B" },
    { "id": 55, "difficulty": "hard", "question": "Simplify: 17(x + 8) − 11(x − 9)", "options": {"A": "6x + 163", "B": "6x + 164", "C": "6x + 165", "D": "6x + 166"}, "correct_answer": "C" },

    { "id": 56, "difficulty": "hard", "question": "Simplify: 18(x − 10) + 12(x + 11)", "options": {"A": "30x + 12", "B": "30x + 13", "C": "30x + 14", "D": "30x + 15"}, "correct_answer": "D" },
    { "id": 57, "difficulty": "hard", "question": "Simplify: 19(x + 11) − 13(x − 12)", "options": {"A": "6x + 245", "B": "6x + 246", "C": "6x + 247", "D": "6x + 248"}, "correct_answer": "A" },
    { "id": 58, "difficulty": "hard", "question": "Simplify: 20(x − 12) + 14(x + 13)", "options": {"A": "34x + 12", "B": "34x + 13", "C": "34x + 14", "D": "34x + 15"}, "correct_answer": "B" },
    { "id": 59, "difficulty": "hard", "question": "Simplify: 21(x + 13) − 15(x − 14)", "options": {"A": "6x + 357", "B": "6x + 358", "C": "6x + 359", "D": "6x + 360"}, "correct_answer": "C" },
    { "id": 60, "difficulty": "hard", "question": "Simplify: 22(x − 14) + 16(x + 15)", "options": {"A": "38x + 14", "B": "38x + 15", "C": "38x + 16", "D": "38x + 17"}, "correct_answer": "D" }

  ]
}