Quiz Maths Seconde : Équations et Fonctions

Question 1 sur 10 10:00

[{"id":67252,"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 = 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 des deux côtés : 3x = 15, puis on divise par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67253,"question":"La fonction f(x) = 2x + 3 est-elle croissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La fonction est de la forme ax + b avec a = 2 \u003E 0, donc elle est croissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67254,"question":"Quel est le discriminant de l'équation x² - 4x + 3 = 0 ?","option_a":"Δ = 4","option_b":"Δ = -4","option_c":"Δ = 16","option_d":"Δ = 0","option_e":"","option_f":"","bonne_reponse":"C","explication":"Le discriminant est calculé par Δ = b² - 4ac = (-4)² - 4*1*3 = 16 - 12 = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67255,"question":"La solution de l'inéquation 2x + 1 ≤ 7 est :","option_a":"x ≤ 3","option_b":"x ≥ 3","option_c":"x ≤ 4","option_d":"x \u003C 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"On soustrait 1 : 2x ≤ 6, puis on divise par 2 : x ≤ 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67256,"question":"La fonction f(x) = -x² + 4x est-elle une parabole ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une fonction du second degré, donc sa représentation graphique est une parabole.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67257,"question":"Quelle est la forme factorisée 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":"C'est une différence de carrés : x² - 9 = (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67258,"question":"La solution du système {2x + y = 5; x - y = 1} est :","option_a":"x = 2, y = 1","option_b":"x = 1, y = 3","option_c":"x = 3, y = -1","option_d":"x = 0, y = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"En additionnant les deux équations : 3x = 6 → x = 2, puis y = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67259,"question":"La médiane d'une série statistique est toujours un nombre de la série.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La médiane est la valeur qui sépare la série en deux parties égales, mais elle n'est pas forcément dans la série.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67260,"question":"Quel est le coefficient directeur de la droite d'équation y = -3x + 2 ?","option_a":"-3","option_b":"2","option_c":"3","option_d":"-2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Dans l'équation y = ax + b, a est le coefficient directeur. Ici, a = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67261,"question":"La fonction f(x) = 1\/x est-elle définie en x = 0 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction f(x) = 1\/x n'est pas définie en x = 0 car la division par zéro est impossible.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]