Quiz — syn14M0708LPA.pdf

Question 1 sur 5 10:00

[{"id":173,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = 10","option_d":"x = 25","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x + 5 = 20, soustrais 5 des deux côtés : 3x = 15. Puis divise par 3 : 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 = 15\", \"c\": \"x = 10\", \"d\": \"x = 25\"}}","_debug_options_count":4},{"id":174,"question":"Dans un triangle rectangle, si les côtés de l'angle droit mesurent 3 cm et 4 cm, quelle est la longueur de l'hypoténuse ?","option_a":"5 cm","option_b":"6 cm","option_c":"7 cm","option_d":"8 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"D'après le théorème de Pythagore : hypoténuse² = 3² + 4² = 9 + 16 = 25. Donc hypoténuse = √25 = 5 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\": \"5 cm\", \"b\": \"6 cm\", \"c\": \"7 cm\", \"d\": \"8 cm\"}}","_debug_options_count":4},{"id":175,"question":"Quelle est l'image de x = 2 par la fonction linéaire f(x) = 4x - 1 ?","option_a":"f(2) = 7","option_b":"f(2) = 9","option_c":"f(2) = 5","option_d":"f(2) = 3","option_e":"","option_f":"","bonne_reponse":"b","explication":"Remplace x par 2 dans f(x) = 4x - 1 : f(2) = 4*2 - 1 = 8 - 1 = 7. L'image est donc 7.","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(2) = 7\", \"b\": \"f(2) = 9\", \"c\": \"f(2) = 5\", \"d\": \"f(2) = 3\"}}","_debug_options_count":4},{"id":176,"question":"Un rectangle a une longueur de 8 cm et une largeur de 5 cm. Quel est son périmètre ?","option_a":"26 cm","option_b":"36 cm","option_c":"13 cm","option_d":"40 cm","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le périmètre d'un rectangle se calcule par la formule P = 2*(Longueur + Largeur). Ici, P = 2*(8 + 5) = 2*13 = 26 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"26 cm\", \"b\": \"36 cm\", \"c\": \"13 cm\", \"d\": \"40 cm\"}}","_debug_options_count":4},{"id":177,"question":"Quelle est la propriété qui définit une fonction linéaire ?","option_a":"f(x) = ax + b avec a ≠ 0","option_b":"f(x) = ax avec a ≠ 0","option_c":"f(x) = ax² + b","option_d":"f(x) = a\/x","option_e":"","option_f":"","bonne_reponse":"b","explication":"Une fonction linéaire est de la forme f(x) = ax, où a est un nombre réel non nul. Elle passe toujours par l'origine du repère.","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(x) = ax + b avec a ≠ 0\", \"b\": \"f(x) = ax avec a ≠ 0\", \"c\": ","_debug_options_count":4}]