Quiz — 69f5f827e315c__corrigé prototype 1.pdf

Question 1 sur 5 10:00

[{"id":56,"question":"Quelle est la solution de l'équation 3x - 5 = 16 ?","option_a":"x = 7","option_b":"x = 11","option_c":"x = 14","option_d":"x = 21","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x - 5 = 16, ajoutez d'abord 5 des deux côtés : 3x = 21. Puis divisez par 3 : x = 7. Cette méthode est fondamentale pour les équations du premier degré.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x = 7\", \"b\": \"x = 11\", \"c\": \"x = 14\", \"d\": \"x = 21\"}}","_debug_options_count":4},{"id":57,"question":"Dans un triangle rectangle, si l'hypoténuse mesure 10 cm et un côté mesure 6 cm, quelle est la longueur du troisième côté ?","option_a":"8 cm","option_b":"√64 cm","option_c":"√136 cm","option_d":"16 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"Appliquez le théorème de Pythagore : a² + b² = c². Ici, 6² + b² = 10² → 36 + b² = 100 → b² = 64 → b = 8 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"8 cm\", \"b\": \"√64 cm\", \"c\": \"√136 cm\", \"d\": \"16 cm\"}}","_debug_options_count":4},{"id":58,"question":"Factorisez l'expression 4x² - 9.","option_a":"(2x - 3)(2x + 3)","option_b":"(4x - 3)(x + 3)","option_c":"(2x - 9)(2x + 1)","option_d":"(x - 3)(4x + 3)","option_e":"","option_f":"","bonne_reponse":"a","explication":"Il s'agit d'une différence de carrés : a² - b² = (a - b)(a + b). Ici, 4x² = (2x)² et 9 = 3², donc (2x - 3)(2x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"(2x - 3)(2x + 3)\", \"b\": \"(4x - 3)(x + 3)\", \"c\": \"(2x - 9)(2x + 1)","_debug_options_count":4},{"id":59,"question":"Un rectangle a une largeur de 5 cm et un périmètre de 30 cm. Quelle est sa longueur ?","option_a":"10 cm","option_b":"15 cm","option_c":"20 cm","option_d":"25 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le périmètre d'un rectangle est P = 2(L + l). Ici, 30 = 2(L + 5) → 15 = L + 5 → L = 10 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"10 cm\", \"b\": \"15 cm\", \"c\": \"20 cm\", \"d\": \"25 cm\"}}","_debug_options_count":4},{"id":60,"question":"Quelle est la valeur de x dans l'équation 2(x + 3) = 4x - 6 ?","option_a":"x = 6","option_b":"x = 3","option_c":"x = 0","option_d":"x = -3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Développez d'abord : 2x + 6 = 4x - 6. Soustrayez 2x : 6 = 2x - 6. Ajoutez 6 : 12 = 2x. Divisez par 2 : x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x = 6\", \"b\": \"x = 3\", \"c\": \"x = 0\", \"d\": \"x = -3\"}}","_debug_options_count":4}]