Quiz — correction ex 2 S32 me arrbii.pdf

Question 1 sur 5 10:00

[{"id":2373,"question":"Quelle est la solution de l'équation 2x + 5 = 11 ?","option_a":"x = 3","option_b":"x = 2","option_c":"x = 4","option_d":"x = 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 2x + 5 = 11, soustrayez 5 des deux côtés : 2x = 6. Divisez ensuite par 2 : x = 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\": \"x = 3\", \"b\": \"x = 2\", \"c\": \"x = 4\", \"d\": \"x = 1\"}}","_debug_options_count":4},{"id":2374,"question":"Quel est le PGCD de 48 et 18 ?","option_a":"6","option_b":"8","option_c":"12","option_d":"24","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le PGCD (Plus Grand Commun Diviseur) de 48 et 18 se calcule en utilisant l'algorithme d'Euclide : 48 = 2×18 + 12, puis 18 = 1×12 + 6, et enfin 12 = 2×6 + 0. Le PGCD est donc 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\": \"6\", \"b\": \"8\", \"c\": \"12\", \"d\": \"24\"}}","_debug_options_count":4},{"id":2375,"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":"x² - 9 est une différence de carrés, qui se factorise en (x - 3)(x + 3) car a² - b² = (a - b)(a + b).","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 - 3)(x + 3)\", \"b\": \"(x - 9)(x + 1)\", \"c\": \"(x - 3)²\", \"d\": \"(","_debug_options_count":4},{"id":2376,"question":"Quel est le résultat de (3x² + 2x - 5) + (2x² - 3x + 1) ?","option_a":"5x² - x - 4","option_b":"5x² + 5x - 4","option_c":"5x² - x + 4","option_d":"5x² + x - 4","option_e":"","option_f":"","bonne_reponse":"a","explication":"Additionnez les termes de même degré : 3x² + 2x² = 5x², 2x - 3x = -x, et -5 + 1 = -4. Le résultat est donc 5x² - x - 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"5x² - x - 4\", \"b\": \"5x² + 5x - 4\", \"c\": \"5x² - x + 4\", \"d\": \"5","_debug_options_count":4},{"id":2377,"question":"Quelle est la valeur de x dans l'inéquation 4x - 7 \u003E 5 ?","option_a":"x \u003E 3","option_b":"x \u003E 2","option_c":"x \u003E 4","option_d":"x \u003E 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 4x - 7 \u003E 5, ajoutez 7 des deux côtés : 4x \u003E 12. Divisez ensuite par 4 : x \u003E 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\": \"x \u003E 3\", \"b\": \"x \u003E 2\", \"c\": \"x \u003E 4\", \"d\": \"x \u003E 1\"}}","_debug_options_count":4}]