Quiz : Algèbre et Équations — Niveau Seconde

Question 1 sur 5 10:00

[{"id":1283,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12","option_c":"x = 2","option_d":"x = -4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 7, on ajoute 5 des deux côtés : 3x = 12, puis on divise par 3 : x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1284,"question":"Quel est l'ensemble des solutions de l'inéquation 2x + 3 \u003E 7 ?","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x ≥ 2","option_d":"x ≤ 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 3 : 2x \u003E 4, puis en divisant par 2 : x \u003E 2. L'ensemble des solutions est donc x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1285,"question":"Si f(x) = 2x + 1, quelle est l'image de 3 par f ?","option_a":"5","option_b":"7","option_c":"6","option_d":"4","option_e":"","option_f":"","bonne_reponse":"B","explication":"En remplaçant x par 3 dans f(x) = 2x + 1, on obtient f(3) = 2*3 + 1 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1286,"question":"Quelle est la forme développée de (x + 2)(x - 3) ?","option_a":"x² - x - 6","option_b":"x² + x - 6","option_c":"x² - 5x - 6","option_d":"x² - x + 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"En utilisant la distributivité : (x + 2)(x - 3) = x² - 3x + 2x - 6 = x² - x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1287,"question":"Quelle est la solution de l'équation x² - 4x + 4 = 0 ?","option_a":"x = 2","option_b":"x = -2","option_c":"x = 4","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"A","explication":"Cette équation est un carré parfait : (x - 2)² = 0, donc x = 2 est la solution double.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]