Quiz : Algèbre et Géométrie — 9ème année de base

Question 1 sur 10 10:00

[{"id":67552,"question":"Quelle est la solution de l’équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = -5","option_d":"x = 10","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x + 5 = 20, soustrayez 5 des deux côtés : 3x = 15, puis divisez par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67553,"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":67554,"question":"Quelle est l’image de 4 par la fonction f(x) = 2x - 3 ?","option_a":"f(4) = 5","option_b":"f(4) = 11","option_c":"f(4) = -5","option_d":"f(4) = 8","option_e":"","option_f":"","bonne_reponse":"B","explication":"Remplacez x par 4 dans la fonction : f(4) = 2*4 - 3 = 8 - 3 = 5. L’option correcte est donc f(4) = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67555,"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":"Vérifiez avec le théorème de Pythagore : 3² + 4² = 9 + 16 = 25 = 5². Le triangle est donc rectangle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67556,"question":"Quelle est la solution de l’inéquation 2x - 7 \u003C 3 ?","option_a":"x \u003C 5","option_b":"x \u003E 5","option_c":"x \u003C -5","option_d":"x \u003E -5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Ajoutez 7 des deux côtés : 2x \u003C 10, puis divisez par 2 : x \u003C 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67557,"question":"La fonction f(x) = -3x + 2 est-elle décroissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le coefficient directeur est -3 (négatif), donc la fonction est décroissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67558,"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 : 8 × 5 = 40 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67559,"question":"Le produit de deux nombres négatifs est-il toujours positif ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Oui, car (-a) × (-b) = a × b (positif).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67560,"question":"Quelle est la solution de l’équation x² - 9 = 0 ?","option_a":"x = 3","option_b":"x = -3","option_c":"x = 3 ou x = -3","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"C","explication":"Résolvez x² = 9, donc x = 3 ou x = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":67561,"question":"Un parallélogramme a-t-il toujours des diagonales de même longueur ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Faux, les diagonales d’un parallélogramme ne sont égales que s’il s’agit d’un rectangle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]