Quiz — ctrl1_math.pdf

Question 1 sur 5 10:00

[{"id":287,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x - 5 = 10, on ajoute d'abord 5 des deux côtés : 3x = 15. Ensuite, on 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\/3\", \"c\": \"x = 5\/3\", \"d\": \"x = 15\"}}","_debug_options_count":4},{"id":288,"question":"Quel est le développement de l'expression (2x + 3)(x - 4) ?","option_a":"2x² - 5x - 12","option_b":"2x² - 8x + 3x - 12","option_c":"2x² - 5x + 12","option_d":"2x² + 3x - 12","option_e":"","option_f":"","bonne_reponse":"a","explication":"En utilisant la distributivité : (2x)(x) + (2x)(-4) + 3(x) + 3(-4) = 2x² - 8x + 3x - 12 = 2x² - 5x - 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"2x² - 5x - 12\", \"b\": \"2x² - 8x + 3x - 12\", \"c\": \"2x² - 5x + 12","_debug_options_count":4},{"id":289,"question":"Si x + 7 = 2x - 3, quelle est la valeur de x ?","option_a":"x = 10","option_b":"x = 4","option_c":"x = -4","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"En soustrayant x des deux côtés : 7 = x - 3. Puis en ajoutant 3 : x = 10.","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 = 10\", \"b\": \"x = 4\", \"c\": \"x = -4\", \"d\": \"x = 5\"}}","_debug_options_count":4},{"id":290,"question":"Quel est le résultat de 4(2x + 1) - 3(x - 2) ?","option_a":"5x + 10","option_b":"5x + 2","option_c":"8x + 4 - 3x + 6","option_d":"5x - 2","option_e":"","option_f":"","bonne_reponse":"c","explication":"En développant : 8x + 4 - 3x + 6 = (8x - 3x) + (4 + 6) = 5x + 10. La réponse correcte est donc '5x + 10'.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"5x + 10\", \"b\": \"5x + 2\", \"c\": \"8x + 4 - 3x + 6\", \"d\": \"5x - 2\"}}","_debug_options_count":4},{"id":291,"question":"Si 5x = 20, quelle est la valeur de x ?","option_a":"x = 4","option_b":"x = 100","option_c":"x = 5","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour trouver x, on divise les deux côtés par 5 : x = 20 \/ 5 = 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\": \"x = 4\", \"b\": \"x = 100\", \"c\": \"x = 5\", \"d\": \"x = 15\"}}","_debug_options_count":4}]