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[{"id":43096,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 10 → 3x = 15 → x = 5. La solution est donc x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43097,"question":"L'inéquation 2x + 1 \u003E 5 a pour solution :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 1 \u003E 5 → 2x \u003E 4 → x \u003E 2. La solution est bien x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43098,"question":"Quel est le développement de (x + 2)(x - 3) ?","option_a":"x² - x - 6","option_b":"x² + x - 6","option_c":"x² - 6x + 6","option_d":"x² - x + 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"(x + 2)(x - 3) = x² - 3x + 2x - 6 = x² - x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43099,"question":"Le discriminant d'un polynôme du second degré ax² + bx + c est donné par :","option_a":"Δ = b² - 4ac","option_b":"Δ = b² + 4ac","option_c":"Δ = 4b² - ac","option_d":"Δ = a² - 4bc","option_e":"","option_f":"","bonne_reponse":"A","explication":"La formule du discriminant est bien Δ = b² - 4ac.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43100,"question":"La fonction f(x) = x² - 4x + 3 a pour sommet :","option_a":"(2, -1)","option_b":"(1, 0)","option_c":"(0, 3)","option_d":"(3, 0)","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le sommet d'une parabole f(x) = ax² + bx + c est en x = -b\/(2a). Ici, x = 4\/2 = 2. f(2) = 4 - 8 + 3 = -1. Le sommet est donc (2, -1).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43101,"question":"Un système de deux équations linéaires a toujours une solution unique.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Un système peut n'avoir aucune solution (droites parallèles) ou une infinité de solutions (droites confondues).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43102,"question":"Quelle est la factorisation de x² - 9 ?","option_a":"(x - 3)(x + 3)","option_b":"(x - 9)(x + 1)","option_c":"(x - 3)²","option_d":"(x + 3)²","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² - 9 est une différence de carrés : x² - 3² = (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43103,"question":"La solution de l'inéquation -2x + 4 ≤ 0 est :","option_a":"x ≥ 2","option_b":"x ≤ 2","option_c":"x ≥ -2","option_d":"x ≤ -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"-2x + 4 ≤ 0 → -2x ≤ -4 → x ≥ 2 (en divisant par un nombre négatif, l'inégalité change de sens).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43104,"question":"Le graphe d'une fonction affine est toujours une droite.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine f(x) = ax + b a pour graphe une droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43105,"question":"Quel est le résultat de l'addition (3x² + 2x - 1) + (x² - 4x + 5) ?","option_a":"4x² - 2x + 4","option_b":"4x² + 6x + 4","option_c":"4x² - 2x - 6","option_d":"3x² - 2x + 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"(3x² + 2x - 1) + (x² - 4x + 5) = 4x² - 2x + 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]