Quiz Mathématiques 1ère Année : Algèbre, Géométrie et Fonctions

Question 1 sur 10 10:00

[{"id":64852,"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":64853,"question":"Le théorème de Pythagore s'applique-t-il à tous les triangles ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64854,"question":"Quelle est l'image de 2 par la fonction f(x) = 3x + 1 ?","option_a":"f(2) = 7","option_b":"f(2) = 5","option_c":"f(2) = 6","option_d":"f(2) = 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"En remplaçant x par 2 dans f(x) = 3x + 1, on obtient f(2) = 3*2 + 1 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64855,"question":"Si un triangle a des côtés de longueurs 3 cm, 4 cm et 5 cm, est-il rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"3² + 4² = 9 + 16 = 25 = 5², donc le triangle est rectangle d'après le théorème de Pythagore.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64856,"question":"Quelle est la forme réduite de l'expression 2(x + 3) - 4x ?","option_a":"-2x + 6","option_b":"2x + 6","option_c":"6x + 6","option_d":"2x - 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant, on obtient 2x + 6 - 4x = -2x + 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64857,"question":"La fonction f(x) = -2x + 5 est-elle croissante ou décroissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur est -2 (négatif), donc la fonction est décroissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64858,"question":"Quelle est l'aire d'un rectangle de longueur 8 cm et de largeur 5 cm ?","option_a":"40 cm²","option_b":"13 cm²","option_c":"30 cm²","option_d":"26 cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un rectangle se calcule par longueur × largeur, soit 8 × 5 = 40 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64859,"question":"Si f(x) = 4x - 1, alors f(0) = -1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En remplaçant x par 0, on obtient f(0) = 4*0 - 1 = -1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64860,"question":"Quelle est la solution de l'équation 5x + 3 = 2x + 12 ?","option_a":"x = 3","option_b":"x = 9","option_c":"x = 5","option_d":"x = -3","option_e":"","option_f":"","bonne_reponse":"A","explication":"On soustrait 2x des deux côtés : 3x + 3 = 12, puis on soustrait 3 : 3x = 9, et on divise par 3 : x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":64861,"question":"Un carré de côté 4 cm a un périmètre de 16 cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d'un carré se calcule par 4 × côté, soit 4 × 4 = 16 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]