{
  "title": "Transposing Terms (Simple Equations) - Grade 7 CBSE",
  "total_questions": 150,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "What does transposing mean in equations?", "options": {"A": "Changing sides with sign change", "B": "Multiplying both sides", "C": "Adding same number", "D": "Subtracting same number"}, "correct_answer": "A"},
    {"id": 2, "difficulty": "easy", "question": "If x+5=10, then x=?", "options": {"A": "2", "B": "5", "C": "10", "D": "15"}, "correct_answer": "B"},
    {"id": 3, "difficulty": "easy", "question": "Transpose 3 to RHS in x+3=7:", "options": {"A": "x=7+3", "B": "x=7-3", "C": "x=3-7", "D": "x=7×3"}, "correct_answer": "B"},
    {"id": 4, "difficulty": "easy", "question": "If y-4=8, then y=?", "options": {"A": "4", "B": "8", "C": "12", "D": "16"}, "correct_answer": "C"},
    {"id": 5, "difficulty": "easy", "question": "Solve: 2x=14", "options": {"A": "2", "B": "7", "C": "12", "D": "28"}, "correct_answer": "B"},
    {"id": 6, "difficulty": "easy", "question": "x/3=4, then x=?", "options": {"A": "1", "B": "7", "C": "12", "D": "16"}, "correct_answer": "C"},
    {"id": 7, "difficulty": "easy", "question": "Transposing +2 from LHS to RHS becomes:", "options": {"A": "+2", "B": "-2", "C": "×2", "D": "÷2"}, "correct_answer": "B"},
    {"id": 8, "difficulty": "easy", "question": "Solve: a-7=3", "options": {"A": "4", "B": "10", "C": "-4", "D": "-10"}, "correct_answer": "B"},
    {"id": 9, "difficulty": "easy", "question": "If 5p=25, p=?", "options": {"A": "5", "B": "10", "C": "15", "D": "20"}, "correct_answer": "A"},
    {"id": 10, "difficulty": "easy", "question": "Transpose -6 from LHS to RHS:", "options": {"A": "-6", "B": "+6", "C": "×6", "D": "÷6"}, "correct_answer": "B"},
    {"id": 11, "difficulty": "easy", "question": "Solve: m+9=15", "options": {"A": "6", "B": "9", "C": "15", "D": "24"}, "correct_answer": "A"},
    {"id": 12, "difficulty": "easy", "question": "If n/4=5, n=?", "options": {"A": "1", "B": "9", "C": "20", "D": "25"}, "correct_answer": "C"},
    {"id": 13, "difficulty": "easy", "question": "Transpose ×3 to RHS:", "options": {"A": "×3", "B": "÷3", "C": "+3", "D": "-3"}, "correct_answer": "B"},
    {"id": 14, "difficulty": "easy", "question": "Solve: 8=k-3", "options": {"A": "5", "B": "11", "C": "24", "D": "-5"}, "correct_answer": "B"},
    {"id": 15, "difficulty": "easy", "question": "If 7x=35, x=?", "options": {"A": "5", "B": "7", "C": "28", "D": "42"}, "correct_answer": "A"},
    {"id": 16, "difficulty": "easy", "question": "Transpose ÷5 to RHS:", "options": {"A": "÷5", "B": "×5", "C": "+5", "D": "-5"}, "correct_answer": "B"},
    {"id": 17, "difficulty": "easy", "question": "Solve: y+12=20", "options": {"A": "8", "B": "12", "C": "20", "D": "32"}, "correct_answer": "A"},
    {"id": 18, "difficulty": "easy", "question": "If t-8=4, t=?", "options": {"A": "4", "B": "8", "C": "12", "D": "16"}, "correct_answer": "C"},
    {"id": 19, "difficulty": "easy", "question": "Solve: 6q=42", "options": {"A": "6", "B": "7", "C": "8", "D": "9"}, "correct_answer": "B"},
    {"id": 20, "difficulty": "easy", "question": "Transpose +9 from LHS to RHS:", "options": {"A": "+9", "B": "-9", "C": "×9", "D": "÷9"}, "correct_answer": "B"},
    {"id": 21, "difficulty": "medium", "question": "Solve: 3x+5=17", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "C"},
    {"id": 22, "difficulty": "medium", "question": "Transpose 2x from RHS to LHS in 5=2x+1:", "options": {"A": "5+2x=1", "B": "5-2x=1", "C": "5=1-2x", "D": "5=1+2x"}, "correct_answer": "B"},
    {"id": 23, "difficulty": "medium", "question": "Solve: 4y-7=13", "options": {"A": "3", "B": "4", "C": "5", "D": "6"}, "correct_answer": "C"},
    {"id": 24, "difficulty": "medium", "question": "If 2(x+3)=14, x=?", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "C"},
    {"id": 25, "difficulty": "medium", "question": "Transpose -3x from LHS to RHS in 2x-3x=5:", "options": {"A": "2x=5+3x", "B": "2x=5-3x", "C": "-x=5", "D": "2x-3x-5=0"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "Solve: 5m-8=2m+7", "options": {"A": "3", "B": "4", "C": "5", "D": "6"}, "correct_answer": "C"},
    {"id": 27, "difficulty": "medium", "question": "If (a/4)+3=7, a=?", "options": {"A": "12", "B": "14", "C": "16", "D": "18"}, "correct_answer": "C"},
    {"id": 28, "difficulty": "medium", "question": "Transpose 4y from LHS to RHS in 3y+4y=21:", "options": {"A": "3y=21+4y", "B": "3y=21-4y", "C": "7y=21", "D": "3y-4y=21"}, "correct_answer": "B"},
    {"id": 29, "difficulty": "medium", "question": "Solve: 2(x-5)=x+3", "options": {"A": "8", "B": "10", "C": "12", "D": "13"}, "correct_answer": "D"},
    {"id": 30, "difficulty": "medium", "question": "If 3p/4=9, p=?", "options": {"A": "9", "B": "12", "C": "15", "D": "18"}, "correct_answer": "B"},
    {"id": 31, "difficulty": "medium", "question": "Transpose -5 from RHS to LHS in x=7-5:", "options": {"A": "x+5=7", "B": "x-5=7", "C": "x=7+5", "D": "x=12"}, "correct_answer": "A"},
    {"id": 32, "difficulty": "medium", "question": "Solve: 7-2y=3y+22", "options": {"A": "-3", "B": "-2", "C": "2", "D": "3"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "If (2x+1)/3=5, x=?", "options": {"A": "6", "B": "7", "C": "8", "D": "9"}, "correct_answer": "B"},
    {"id": 34, "difficulty": "medium", "question": "Transpose ÷2 to LHS in x=8÷2:", "options": {"A": "2x=8", "B": "x/2=8", "C": "x=4", "D": "x=16"}, "correct_answer": "A"},
    {"id": 35, "difficulty": "medium", "question": "Solve: 4(z-3)=2(z+1)", "options": {"A": "5", "B": "6", "C": "7", "D": "8"}, "correct_answer": "C"},
    {"id": 36, "difficulty": "medium", "question": "If 5-3k=2k+15, k=?", "options": {"A": "-2", "B": "-1", "C": "1", "D": "2"}, "correct_answer": "A"},
    {"id": 37, "difficulty": "medium", "question": "Transpose ×3 from RHS to LHS in x=12×3:", "options": {"A": "x/3=12", "B": "3x=12", "C": "x=36", "D": "x=4"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "Solve: (m+4)/2=3m-1", "options": {"A": "1", "B": "1.2", "C": "1.5", "D": "2"}, "correct_answer": "B"},
    {"id": 39, "difficulty": "medium", "question": "If 2.5x-1.5=3.5, x=?", "options": {"A": "1.5", "B": "2", "C": "2.5", "D": "3"}, "correct_answer": "B"},
    {"id": 40, "difficulty": "medium", "question": "Transpose -2x from RHS to LHS in 10=6-2x:", "options": {"A": "10+2x=6", "B": "10-2x=6", "C": "10=6+2x", "D": "10=8x"}, "correct_answer": "A"},
    {"id": 41, "difficulty": "medium", "question": "Solve: 3(2t-1)=4(t+2)", "options": {"A": "4.5", "B": "5", "C": "5.5", "D": "6"}, "correct_answer": "C"},
    {"id": 42, "difficulty": "medium", "question": "If (5n-2)/3=n+4, n=?", "options": {"A": "4", "B": "5", "C": "6", "D": "7"}, "correct_answer": "D"},
    {"id": 43, "difficulty": "medium", "question": "Transpose ÷(-2) to RHS in -2x=8:", "options": {"A": "x=8×(-2)", "B": "x=8÷(-2)", "C": "x=-4", "D": "x=4"}, "correct_answer": "B"},
    {"id": 44, "difficulty": "medium", "question": "Solve: 7-3(p-2)=2p+5", "options": {"A": "0.8", "B": "1", "C": "1.2", "D": "1.6"}, "correct_answer": "D"},
    {"id": 45, "difficulty": "medium", "question": "If 0.4x+0.6=1.4, x=?", "options": {"A": "1", "B": "1.5", "C": "2", "D": "2.5"}, "correct_answer": "C"},
    {"id": 46, "difficulty": "medium", "question": "Transpose +3x from RHS to LHS in 2x=3x+5:", "options": {"A": "2x+3x=5", "B": "2x-3x=5", "C": "5x=5", "D": "-x=5"}, "correct_answer": "B"},
    {"id": 47, "difficulty": "medium", "question": "Solve: 2/3 x - 1/2 = 5/6", "options": {"A": "1", "B": "1.5", "C": "2", "D": "2.5"}, "correct_answer": "C"},
    {"id": 48, "difficulty": "medium", "question": "If 4(2y-3)=3(y+5), y=?", "options": {"A": "5", "B": "5.4", "C": "6", "D": "6.2"}, "correct_answer": "B"},
    {"id": 49, "difficulty": "medium", "question": "Transpose ×(-1) to RHS in -x=7:", "options": {"A": "x=7×(-1)", "B": "x=7÷(-1)", "C": "x=-7", "D": "x=7"}, "correct_answer": "B"},
    {"id": 50, "difficulty": "medium", "question": "Solve: 5x-3(2x-1)=4(3-x)", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "A"},
    {"id": 51, "difficulty": "medium", "question": "If (x+3)/4=(x-2)/3, x=?", "options": {"A": "15", "B": "16", "C": "17", "D": "18"}, "correct_answer": "C"},
    {"id": 52, "difficulty": "medium", "question": "Transpose -2/3 from LHS to RHS in x-2/3=5:", "options": {"A": "x=5-2/3", "B": "x=5+2/3", "C": "x=5×2/3", "D": "x=5÷2/3"}, "correct_answer": "B"},
    {"id": 53, "difficulty": "medium", "question": "Solve: 2.5m-1.75=3.25+1.5m", "options": {"A": "4", "B": "5", "C": "6", "D": "7"}, "correct_answer": "B"},
    {"id": 54, "difficulty": "medium", "question": "If 3(2a-5)-2(a-3)=4(3a+2), a=?", "options": {"A": "-1.5", "B": "-1.75", "C": "-2", "D": "-2.25"}, "correct_answer": "B"},
    {"id": 55, "difficulty": "medium", "question": "Transpose ÷0.5 to LHS in x=12÷0.5:", "options": {"A": "0.5x=12", "B": "x/0.5=12", "C": "x=24", "D": "x=6"}, "correct_answer": "A"},
    {"id": 56, "difficulty": "medium", "question": "Solve: (2x-1)/5 + (3x+2)/2 = 4", "options": {"A": "2", "B": "2.5", "C": "3", "D": "3.5"}, "correct_answer": "A"},
    {"id": 57, "difficulty": "medium", "question": "If 5/8 y - 3/4 = 1/2, y=?", "options": {"A": "2", "B": "2.4", "C": "2.8", "D": "3.2"}, "correct_answer": "C"},
    {"id": 58, "difficulty": "medium", "question": "Transpose ×2/3 from RHS to LHS in x=15×2/3:", "options": {"A": "(2/3)x=15", "B": "x÷(2/3)=15", "C": "x=10", "D": "x=22.5"}, "correct_answer": "B"},
    {"id": 59, "difficulty": "medium", "question": "Solve: 0.3(2x-1)-0.2(3x+4)=0.5", "options": {"A": "-2", "B": "-2.5", "C": "-3", "D": "-3.5"}, "correct_answer": "C"},
    {"id": 60, "difficulty": "medium", "question": "If (4x-3)/2 - (2x+1)/3 = x-1, x=?", "options": {"A": "1.5", "B": "1.75", "C": "2", "D": "2.25"}, "correct_answer": "D"},
    {"id": 61, "difficulty": "medium", "question": "Transpose -1.5x from LHS to RHS in 2x-1.5x=7:", "options": {"A": "2x=7+1.5x", "B": "2x=7-1.5x", "C": "0.5x=7", "D": "2x+1.5x=7"}, "correct_answer": "A"},
    {"id": 62, "difficulty": "medium", "question": "Solve: 3(4-2x)-2(3x-1)=5(2-x)+7", "options": {"A": "-2", "B": "-1.5", "C": "-1", "D": "-0.5"}, "correct_answer": "C"},
    {"id": 63, "difficulty": "medium", "question": "If 2/5 of a number minus 3 equals 7, number=?", "options": {"A": "20", "B": "25", "C": "30", "D": "35"}, "correct_answer": "B"},
    {"id": 64, "difficulty": "medium", "question": "Transpose ×(-3) from RHS to LHS in x=12×(-3):", "options": {"A": "x/(-3)=12", "B": "-3x=12", "C": "x=-36", "D": "x=-4"}, "correct_answer": "A"},
    {"id": 65, "difficulty": "medium", "question": "Solve: (x+2)/3 + (x-3)/4 = 5", "options": {"A": "7", "B": "8", "C": "9", "D": "10"}, "correct_answer": "D"},
    {"id": 66, "difficulty": "medium", "question": "If 3.2y-4.8=2.4y+3.6, y=?", "options": {"A": "10", "B": "10.5", "C": "11", "D": "11.5"}, "correct_answer": "B"},
    {"id": 67, "difficulty": "medium", "question": "Transpose ÷(-4) to LHS in x=20÷(-4):", "options": {"A": "-4x=20", "B": "x/(-4)=20", "C": "x=-5", "D": "x=5"}, "correct_answer": "A"},
    {"id": 68, "difficulty": "medium", "question": "Solve: 5(2x-1)-3(3x-2)=2(4-x)+7", "options": {"A": "2", "B": "2.5", "C": "3", "D": "3.5"}, "correct_answer": "A"},
    {"id": 69, "difficulty": "medium", "question": "If 3/4 x - 1/3 = 2/3 x + 1/4, x=?", "options": {"A": "3", "B": "4", "C": "5", "D": "6"}, "correct_answer": "C"},
    {"id": 70, "difficulty": "medium", "question": "Transpose +0.25 from LHS to RHS in x+0.25=1.5:", "options": {"A": "x=1.5+0.25", "B": "x=1.5-0.25", "C": "x=1.5×0.25", "D": "x=1.5÷0.25"}, "correct_answer": "B"},
    {"id": 71, "difficulty": "medium", "question": "Solve: 2x/3 - x/4 = 5", "options": {"A": "10", "B": "11", "C": "12", "D": "13"}, "correct_answer": "C"},
    {"id": 72, "difficulty": "medium", "question": "If 5-2(3x-4)=3(2-5x)+7, x=?", "options": {"A": "-0.5", "B": "0", "C": "0.5", "D": "1"}, "correct_answer": "B"},
    {"id": 73, "difficulty": "medium", "question": "Transpose ×2.5 from RHS to LHS in x=8×2.5:", "options": {"A": "x/2.5=8", "B": "2.5x=8", "C": "x=20", "D": "x=3.2"}, "correct_answer": "A"},
    {"id": 74, "difficulty": "medium", "question": "Solve: (3x-5)/2 + (2x+3)/3 = (5x-1)/4", "options": {"A": "3", "B": "3.5", "C": "4", "D": "4.5"}, "correct_answer": "A"},
    {"id": 75, "difficulty": "medium", "question": "If 0.6(5x-3)=0.4(3x+2), x=?", "options": {"A": "1.5", "B": "1.6", "C": "1.7", "D": "1.8"}, "correct_answer": "C"},
    {"id": 76, "difficulty": "medium", "question": "Transpose -3/4 from RHS to LHS in x=5-3/4:", "options": {"A": "x+3/4=5", "B": "x-3/4=5", "C": "x=5+3/4", "D": "x=20/4-3/4"}, "correct_answer": "A"},
    {"id": 77, "difficulty": "medium", "question": "Solve: 4(3-2x)-5(1-3x)=3(2x+1)", "options": {"A": "2", "B": "2.5", "C": "3", "D": "3.5"}, "correct_answer": "A"},
    {"id": 78, "difficulty": "medium", "question": "If 2/3 of number plus 5 equals 15, number=?", "options": {"A": "12", "B": "13", "C": "14", "D": "15"}, "correct_answer": "D"},
    {"id": 79, "difficulty": "medium", "question": "Transpose ÷(-1/2) to RHS in -x/2=6:", "options": {"A": "x=6×(-1/2)", "B": "x=6÷(-1/2)", "C": "x=-3", "D": "x=3"}, "correct_answer": "B"},
    {"id": 80, "difficulty": "medium", "question": "Solve: 1.2x-0.8=0.4x+2", "options": {"A": "3", "B": "3.5", "C": "4", "D": "4.5"}, "correct_answer": "B"},
    {"id": 81, "difficulty": "hard", "question": "Solve: (2x-3)/4 - (3x-5)/2 = (x+1)/3 - 1", "options": {"A": "2", "B": "2.5", "C": "3", "D": "3.5"}, "correct_answer": "A"},
    {"id": 82, "difficulty": "hard", "question": "If 5(3x-2)-4(2x+1)=3(4x-5)-2(3x-4), x=?", "options": {"A": "1", "B": "1.25", "C": "1.5", "D": "1.75"}, "correct_answer": "C"},
    {"id": 83, "difficulty": "hard", "question": "Transpose all x terms to LHS: 3x-5=2(4-x)+7", "options": {"A": "3x+2x=8+7+5", "B": "3x-2x=8+7+5", "C": "3x-2x=8+7-5", "D": "3x+2x=8+7-5"}, "correct_answer": "B"},
    {"id": 84, "difficulty": "hard", "question": "Solve: 0.25(4x-8)+0.5(2x+6)=2.5(x-1)+1.5", "options": {"A": "2", "B": "2.5", "C": "3", "D": "3.5"}, "correct_answer": "A"},
    {"id": 85, "difficulty": "hard", "question": "If (5x-3)/2 - (2x+1)/3 = (3x-2)/4 + 5/6, x=?", "options": {"A": "2", "B": "2.5", "C": "3", "D": "3.5"}, "correct_answer": "C"},
    {"id": 86, "difficulty": "hard", "question": "Transpose constants to RHS: 2/3 x - 1/4 = 3/5 x + 1/2", "options": {"A": "2/3 x - 3/5 x = 1/2 + 1/4", "B": "2/3 x + 3/5 x = 1/2 - 1/4", "C": "2/3 x - 3/5 x = 1/2 - 1/4", "D": "2/3 x + 3/5 x = 1/2 + 1/4"}, "correct_answer": "A"},
    {"id": 87, "difficulty": "hard", "question": "Solve: 3(2x-1)/4 - 2(3x+2)/5 = (x-3)/10 - 1", "options": {"A": "3", "B": "3.5", "C": "4", "D": "4.5"}, "correct_answer": "B"},
    {"id": 88, "difficulty": "hard", "question": "If 2.5(3y-4)-1.5(2y+3)=0.5(4y-1)+3.5, y=?", "options": {"A": "4", "B": "4.5", "C": "5", "D": "5.5"}, "correct_answer": "D"},
    {"id": 89, "difficulty": "hard", "question": "Transpose fractions: (x+1)/2 - (x-2)/3 = (2x-3)/4", "options": {"A": "6(x+1)-4(x-2)=3(2x-3)", "B": "6(x+1)+4(x-2)=3(2x-3)", "C": "6(x+1)-4(x-2)=3(2x+3)", "D": "6(x+1)+4(x-2)=3(2x+3)"}, "correct_answer": "A"},
    {"id": 90, "difficulty": "hard", "question": "Solve: 5/6 (2x-3) + 3/4 (3x+2) = 2/3 (4x-1) - 1/2", "options": {"A": "1", "B": "1.5", "C": "2", "D": "2.5"}, "correct_answer": "A"},
    {"id": 91, "difficulty": "hard", "question": "If 0.3(4x-5)-0.2(3x+4)=0.5(2x-3)-0.1, x=?", "options": {"A": "2", "B": "2.5", "C": "3", "D": "3.5"}, "correct_answer": "C"},
    {"id": 92, "difficulty": "hard", "question": "Transpose decimals: 1.2x-0.35=0.8x+1.45", "options": {"A": "1.2x+0.8x=1.45-0.35", "B": "1.2x-0.8x=1.45+0.35", "C": "1.2x-0.8x=1.45-0.35", "D": "1.2x+0.8x=1.45+0.35"}, "correct_answer": "B"},
    {"id": 93, "difficulty": "hard", "question": "Solve: (3x-2)(x+1) = (2x-1)(x+3) + 1", "options": {"A": "1", "B": "2", "C": "3", "D": "4"}, "correct_answer": "B"},
    {"id": 94, "difficulty": "hard", "question": "If (4x+3)/5 - (3x-2)/4 = (2x+1)/10 - 1, x=?", "options": {"A": "-2", "B": "-1", "C": "0", "D": "1"}, "correct_answer": "B"},
    {"id": 95, "difficulty": "hard", "question": "Transpose all terms with x to one side: 2/3 x - 1/2 = 3/4 - 1/3 x", "options": {"A": "2/3 x + 1/3 x = 3/4 + 1/2", "B": "2/3 x - 1/3 x = 3/4 + 1/2", "C": "2/3 x + 1/3 x = 3/4 - 1/2", "D": "2/3 x - 1/3 x = 3/4 - 1/2"}, "correct_answer": "A"},
    {"id": 96, "difficulty": "hard", "question": "Solve: 0.4(5x-3)+0.6(3x-2)=0.5(4x+1)+0.7", "options": {"A": "1.5", "B": "2", "C": "2.5", "D": "3"}, "correct_answer": "C"},
    {"id": 97, "difficulty": "hard", "question": "If 3/5 of number minus 2/3 of same number equals 4, number=?", "options": {"A": "30", "B": "40", "C": "50", "D": "60"}, "correct_answer": "D"},
    {"id": 98, "difficulty": "hard", "question": "Transpose complex: (2x-1)/3 + (x+2)/4 = (3x-1)/2 - (x-3)/6", "options": {"A": "4(2x-1)+3(x+2)=6(3x-1)-2(x-3)", "B": "4(2x-1)-3(x+2)=6(3x-1)-2(x-3)", "C": "4(2x-1)+3(x+2)=6(3x-1)+2(x-3)", "D": "4(2x-1)-3(x+2)=6(3x-1)+2(x-3)"}, "correct_answer": "A"},
    {"id": 99, "difficulty": "hard", "question": "Solve: 2.5(2x-3)-1.5(3x-4)=0.5(4x-5)+2.5", "options": {"A": "4", "B": "4.5", "C": "5", "D": "5.5"}, "correct_answer": "B"},
    {"id": 100, "difficulty": "hard", "question": "If (x+3)/2 - (2x-1)/3 = (3x+2)/4 - 1, and then transpose all denominators, LCM=?", "options": {"A": "6", "B": "12", "C": "24", "D": "36"}, "correct_answer": "B"}
  ,
{"id":101,"difficulty":"easy","question":"Solve: x+11=25","options":{"A":"12","B":"13","C":"14","D":"15"},"correct_answer":"A"},
    {"id":102,"difficulty":"easy","question":"If 9x=81, x=?","options":{"A":"7","B":"8","C":"9","D":"10"},"correct_answer":"C"},
    {"id":103,"difficulty":"easy","question":"Transpose -5 from RHS to LHS in x=12-5","options":{"A":"x+5=12","B":"x-5=12","C":"x=7","D":"x=17"},"correct_answer":"A"},
    {"id":104,"difficulty":"easy","question":"Solve: y/6=7","options":{"A":"36","B":"40","C":"42","D":"48"},"correct_answer":"C"},
    {"id":105,"difficulty":"easy","question":"Transpose ×4 to RHS","options":{"A":"×4","B":"÷4","C":"+4","D":"-4"},"correct_answer":"B"},
    {"id":106,"difficulty":"easy","question":"Solve: a-9=6","options":{"A":"3","B":"9","C":"15","D":"18"},"correct_answer":"C"},
    {"id":107,"difficulty":"easy","question":"If 3p=18, p=?","options":{"A":"3","B":"5","C":"6","D":"9"},"correct_answer":"C"},
    {"id":108,"difficulty":"easy","question":"Solve: x+0=9","options":{"A":"0","B":"9","C":"-9","D":"1"},"correct_answer":"B"},
    {"id":109,"difficulty":"easy","question":"Transpose ÷8 to RHS","options":{"A":"÷8","B":"×8","C":"+8","D":"-8"},"correct_answer":"B"},
    {"id":110,"difficulty":"easy","question":"Solve: 15=m+4","options":{"A":"11","B":"19","C":"4","D":"-11"},"correct_answer":"A"},

    {"id":111,"difficulty":"medium","question":"Solve: 2x+9=3x+1","options":{"A":"6","B":"7","C":"8","D":"9"},"correct_answer":"C"},
    {"id":112,"difficulty":"medium","question":"If 5(x-2)=20, x=?","options":{"A":"4","B":"5","C":"6","D":"7"},"correct_answer":"C"},
    {"id":113,"difficulty":"medium","question":"Transpose 7 from RHS to LHS in x=20-7","options":{"A":"x+7=20","B":"x-7=20","C":"x=13","D":"x=27"},"correct_answer":"A"},
    {"id":114,"difficulty":"medium","question":"Solve: 4y-6=10","options":{"A":"3","B":"4","C":"5","D":"6"},"correct_answer":"C"},
    {"id":115,"difficulty":"medium","question":"If (x+5)/2=9, x=?","options":{"A":"11","B":"12","C":"13","D":"14"},"correct_answer":"C"},
    {"id":116,"difficulty":"medium","question":"Solve: 7-2x=1","options":{"A":"2","B":"3","C":"4","D":"5"},"correct_answer":"C"},
    {"id":117,"difficulty":"medium","question":"Transpose -3y from LHS to RHS in y-3y=6","options":{"A":"y=6+3y","B":"y=6-3y","C":"-2y=6","D":"y=3"},"correct_answer":"A"},
    {"id":118,"difficulty":"medium","question":"Solve: 3(a+2)=18","options":{"A":"2","B":"3","C":"4","D":"6"},"correct_answer":"C"},
    {"id":119,"difficulty":"medium","question":"If 2x/5=6, x=?","options":{"A":"10","B":"12","C":"15","D":"20"},"correct_answer":"C"},
    {"id":120,"difficulty":"medium","question":"Solve: 9-4k=1","options":{"A":"1","B":"2","C":"3","D":"4"},"correct_answer":"B"},

    {"id":121,"difficulty":"medium","question":"Solve: (x-3)/4=5","options":{"A":"17","B":"20","C":"23","D":"25"},"correct_answer":"C"},
    {"id":122,"difficulty":"medium","question":"Transpose ÷(-3) to LHS in x=12÷(-3)","options":{"A":"-3x=12","B":"x/(-3)=12","C":"x=-4","D":"x=4"},"correct_answer":"A"},
    {"id":123,"difficulty":"medium","question":"Solve: 5m+4=3m+18","options":{"A":"5","B":"6","C":"7","D":"8"},"correct_answer":"C"},
    {"id":124,"difficulty":"medium","question":"If 0.5x=4, x=?","options":{"A":"6","B":"7","C":"8","D":"9"},"correct_answer":"C"},
    {"id":125,"difficulty":"medium","question":"Solve: 2(3x-1)=16","options":{"A":"2","B":"3","C":"4","D":"5"},"correct_answer":"C"},

    {"id":126,"difficulty":"hard","question":"Solve: 3(2x-5)=4(x+1)","options":{"A":"7","B":"8","C":"9","D":"10"},"correct_answer":"C"},
    {"id":127,"difficulty":"hard","question":"If (x+2)/3+(x-1)/2=5, x=?","options":{"A":"4","B":"5","C":"6","D":"7"},"correct_answer":"C"},
    {"id":128,"difficulty":"hard","question":"Solve: 0.4(5x-3)=0.2(7x+1)","options":{"A":"2","B":"2.5","C":"3","D":"3.5"},"correct_answer":"B"},
    {"id":129,"difficulty":"hard","question":"Transpose all x terms to LHS: 4x+3=2x+11","options":{"A":"4x-2x=11-3","B":"4x+2x=11+3","C":"4x-2x=3-11","D":"6x=8"},"correct_answer":"A"},
    {"id":130,"difficulty":"hard","question":"Solve: (2x-1)/3=(x+5)/6","options":{"A":"6","B":"7","C":"8","D":"9"},"correct_answer":"C"},
    {"id":131,"difficulty":"hard","question":"If 3/4x-2=1/2x+4, x=?","options":{"A":"16","B":"20","C":"24","D":"28"},"correct_answer":"C"},
    {"id":132,"difficulty":"hard","question":"Solve: 5(2x+1)-3(3x-2)=4","options":{"A":"-1","B":"0","C":"1","D":"2"},"correct_answer":"C"},
    {"id":133,"difficulty":"hard","question":"Transpose fractions: (x+1)/2=(2x-3)/5","options":{"A":"5(x+1)=2(2x-3)","B":"2(x+1)=5(2x-3)","C":"x+1=2x-3","D":"5x+5=2x-3"},"correct_answer":"A"},
    {"id":134,"difficulty":"hard","question":"Solve: 0.3x+0.6=1.8","options":{"A":"3","B":"4","C":"5","D":"6"},"correct_answer":"C"},
    {"id":135,"difficulty":"hard","question":"If (3x-2)/4-(x+1)/2=1, x=?","options":{"A":"4","B":"5","C":"6","D":"7"},"correct_answer":"C"},
    {"id":136,"difficulty":"hard","question":"Solve: 2.5x-1.5=0.5x+2.5","options":{"A":"1.5","B":"2","C":"2.5","D":"3"},"correct_answer":"B"},
    {"id":137,"difficulty":"hard","question":"Transpose ÷0.25 to LHS in x=10÷0.25","options":{"A":"0.25x=10","B":"x/0.25=10","C":"x=40","D":"x=2.5"},"correct_answer":"A"},
    {"id":138,"difficulty":"hard","question":"Solve: 4(x-3)+2=3(x+2)","options":{"A":"4","B":"5","C":"6","D":"7"},"correct_answer":"B"},
    {"id":139,"difficulty":"hard","question":"If 5/6x-3=1/2x+5, x=?","options":{"A":"24","B":"30","C":"36","D":"42"},"correct_answer":"C"},
    {"id":140,"difficulty":"hard","question":"Solve: (x+4)/5+(x-1)/10=3","options":{"A":"6","B":"8","C":"10","D":"12"},"correct_answer":"C"},

    {"id":141,"difficulty":"hard","question":"Solve: 3(2x-1)/4-5/2=x","options":{"A":"3","B":"4","C":"5","D":"6"},"correct_answer":"C"},
    {"id":142,"difficulty":"hard","question":"If 0.2(5x+4)=1.6, x=?","options":{"A":"1","B":"2","C":"3","D":"4"},"correct_answer":"B"},
    {"id":143,"difficulty":"hard","question":"Solve: (x-2)/3=(x+4)/5","options":{"A":"7","B":"8","C":"9","D":"10"},"correct_answer":"C"},
    {"id":144,"difficulty":"hard","question":"Transpose all constants to RHS: 4x-7=2x+9","options":{"A":"4x-2x=9+7","B":"4x+2x=9-7","C":"2x=2","D":"x=1"},"correct_answer":"A"},
    {"id":145,"difficulty":"hard","question":"Solve: 0.5(4x-6)=x+3","options":{"A":"4","B":"5","C":"6","D":"7"},"correct_answer":"C"},
    {"id":146,"difficulty":"hard","question":"If (2x+3)/4=7, x=?","options":{"A":"11","B":"12","C":"13","D":"14"},"correct_answer":"C"},
    {"id":147,"difficulty":"hard","question":"Solve: 3x/5-2=4","options":{"A":"8","B":"9","C":"10","D":"12"},"correct_answer":"C"},
    {"id":148,"difficulty":"hard","question":"Transpose ÷(-0.5) to RHS in -0.5x=6","options":{"A":"x=6÷(-0.5)","B":"x=6×(-0.5)","C":"x=-3","D":"x=3"},"correct_answer":"A"},
    {"id":149,"difficulty":"hard","question":"Solve: (x+5)/2-(x-3)/4=6","options":{"A":"7","B":"8","C":"9","D":"10"},"correct_answer":"C"},
    {"id":150,"difficulty":"hard","question":"If (3x-1)/2=(x+7)/4, x=?","options":{"A":"5","B":"6","C":"7","D":"8"},"correct_answer":"C"}
]
}