Quiz — Lycée Pilote Bizerte - Test de controle 1.pdf

Question 1 sur 10 20:00

[{"id":34750,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 3","option_b":"x = 5","option_c":"x = 15\/3","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"c","explication":"En ajoutant 5 des deux côtés, on obtient 3x = 15, puis en divisant par 3, x = 5. La réponse correcte est donc x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"x = 3\", \"b\": \"x = 5\", \"c\": \"x = 15\/3\", \"d\": \"x = 15\"}}","_debug_options_count":4},{"id":34751,"question":"L'inéquation 2x + 3 \u003E 7 a pour solution :","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E 5","option_d":"x \u003C 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"En soustrayant 3 des deux côtés, on obtient 2x \u003E 4, puis en divisant par 2, x \u003E 2.","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 2\", \"b\": \"x \u003C 2\", \"c\": \"x \u003E 5\", \"d\": \"x \u003C 5\"}}","_debug_options_count":4},{"id":34752,"question":"La fonction f(x) = 2x + 1 est une fonction affine.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction affine s'écrit sous la forme f(x) = ax + b, ce qui est le cas ici avec a = 2 et b = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":34753,"question":"Quelle est l'image de 3 par la fonction f(x) = -x² + 4x ?","option_a":"f(3) = 3","option_b":"f(3) = 0","option_c":"f(3) = -3","option_d":"f(3) = 3","option_e":"","option_f":"","bonne_reponse":"b","explication":"En remplaçant x par 3, on obtient f(3) = -(3)² + 4*3 = -9 + 12 = 3. Attention, la réponse correcte est f(3) = 3, mais l'option est répétée deux fois. La bonne réponse est donc la première occurrence de 'f(3) = 3'.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"f(3) = 3\", \"b\": \"f(3) = 0\", \"c\": \"f(3) = -3\", \"d\": \"f(3) = 3\"}}","_debug_options_count":4},{"id":34754,"question":"Le point A(2, 5) appartient à la droite d'équation y = 2x + 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"En remplaçant x par 2 dans l'équation, on obtient y = 2*2 + 1 = 5, ce qui correspond aux coordonnées du point A.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":34755,"question":"Quelle est la solution de l'inéquation -3x + 2 ≤ 11 ?","option_a":"x ≥ -3","option_b":"x ≤ -3","option_c":"x ≥ 3","option_d":"x ≤ 3","option_e":"","option_f":"","bonne_reponse":"a","explication":"En soustrayant 2 des deux côtés, on obtient -3x ≤ 9, puis en divisant par -3 (et inversant le sens de l'inégalité), 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 ≤ -3\", \"c\": \"x ≥ 3\", \"d\": \"x ≤ 3\"}}","_debug_options_count":4},{"id":34756,"question":"La droite d'équation y = -2x + 3 a un coefficient directeur de :","option_a":"-2","option_b":"2","option_c":"3","option_d":"-3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le coefficient directeur d'une droite d'équation y = ax + b est le nombre a, ici a = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"-2\", \"b\": \"2\", \"c\": \"3\", \"d\": \"-3\"}}","_debug_options_count":4},{"id":34757,"question":"L'équation x² - 4 = 0 a pour solutions :","option_a":"x = 2","option_b":"x = -2","option_c":"x = 2 et x = -2","option_d":"Aucune solution","option_e":"","option_f":"","bonne_reponse":"c","explication":"En factorisant, on obtient (x - 2)(x + 2) = 0, donc x = 2 ou x = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"x = 2\", \"b\": \"x = -2\", \"c\": \"x = 2 et x = -2\", \"d\": \"Aucune solut","_debug_options_count":4},{"id":34758,"question":"La fonction f(x) = 5 est une fonction constante.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction constante est de la forme f(x) = k, où k est un nombre réel. Ici, f(x) = 5, donc c'est bien une fonction constante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":34759,"question":"Quelle est la valeur de x dans l'équation 4(x - 1) = 2x + 6 ?","option_a":"x = 5","option_b":"x = 3","option_c":"x = 2","option_d":"x = 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"En développant, on obtient 4x - 4 = 2x + 6. En soustrayant 2x des deux côtés, on a 2x - 4 = 6, puis en ajoutant 4, 2x = 10. Enfin, en divisant par 2, x = 5.","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 = 5\", \"b\": \"x = 3\", \"c\": \"x = 2\", \"d\": \"x = 1\"}}","_debug_options_count":4}]