{
  "version": 1,
  "title": "Typst, LaTeX y variantes de ecuaciones",
  "description": "Tres versiones que cuentan como dos preguntas: se elige una ecuación lineal y una raíz.",
  "mathFormat": "typst",
  "tags": ["álgebra", "variantes"],
  "questions": [
    {
      "id": "ecuacion-1",
      "variantGroup": "ecuacion-lineal",
      "subject": "Matemáticas",
      "question": "Despeja $x$ en $2 x + 3 = 7$.",
      "alternatives": [
        { "id": "a", "text": "$2$" },
        { "id": "b", "text": "$5$" },
        { "id": "c", "text": "$frac(7, 2)$" }
      ],
      "alternativesToShow": 2,
      "correctAnswerId": "a",
      "explanation": "Restamos 3 y dividimos por 2: $ x = frac(7 - 3, 2) = 2 $."
    },
    {
      "id": "ecuacion-2",
      "variantGroup": "ecuacion-lineal",
      "subject": "Matemáticas",
      "question": "Despeja $x$ en $3 x + 2 = 11$.",
      "alternatives": [
        { "id": "a", "text": "$3$" },
        { "id": "b", "text": "$4$" }
      ],
      "correctAnswerId": "a",
      "explanation": "Restamos 2 y dividimos por 3: $$x = frac(11 - 2, 3) = 3$$."
    },
    {
      "id": "raiz-1",
      "subject": "Matemáticas",
      "mathFormat": "latex",
      "question": "Calcula \\(\\sqrt{16}\\).",
      "alternatives": [
        { "id": "a", "text": "\\(4\\)" },
        { "id": "b", "text": "\\(8\\)" }
      ],
      "correctAnswerId": "a",
      "explanation": "La raíz principal es positiva y \\(4^2=16\\)."
    }
  ]
}