Quiz — Copie de DC2-15-16M(c).pdf

Question 1 sur 10 20:00

[{"id":37250,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 15","option_d":"x = 5\/3","option_e":"","option_f":"","bonne_reponse":"c","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 des deux côtés : 3x = 15, puis 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\": \"c\", \"options\": {\"a\": \"x = 5\", \"b\": \"x = 15\/3\", \"c\": \"x = 15\", \"d\": \"x = 5\/3\"}}","_debug_options_count":4},{"id":37251,"question":"L'inégalité 2x + 3 \u003E 7 a pour solution :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La solution est x \u003E 2, car 2x + 3 \u003E 7 → 2x \u003E 4 → 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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":37252,"question":"Quelle est la forme développée de (x + 2)(x - 3) ?","option_a":"x² - x - 6","option_b":"x² + x - 6","option_c":"x² - 6x + 6","option_d":"x² - x + 6","option_e":"","option_f":"","bonne_reponse":"a","explication":"En développant, on obtient x² - 3x + 2x - 6 = x² - 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\": \"x² - x - 6\", \"b\": \"x² + x - 6\", \"c\": \"x² - 6x + 6\", \"d\": \"x² ","_debug_options_count":4},{"id":37253,"question":"Si x est un nombre réel, alors x² est toujours positif. Vrai ou Faux ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"x² est toujours positif ou nul, car un carré ne peut pas être négatif.","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":37254,"question":"Quelle est la solution de l'inéquation 4x - 8 ≤ 0 ?","option_a":"x ≤ 2","option_b":"x ≥ 2","option_c":"x = 2","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"4x - 8 ≤ 0 → 4x ≤ 8 → x ≤ 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 ≤ 2\", \"b\": \"x ≥ 2\", \"c\": \"x = 2\", \"d\": \"x \u003C 2\"}}","_debug_options_count":4},{"id":37255,"question":"La représentation graphique de y = 2x + 1 est une droite de pente :","option_a":"1","option_b":"2","option_c":"-1","option_d":"0.5","option_e":"","option_f":"","bonne_reponse":"b","explication":"Dans l'équation y = mx + b, m représente la pente. Ici, m = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"1\", \"b\": \"2\", \"c\": \"-1\", \"d\": \"0.5\"}}","_debug_options_count":4},{"id":37256,"question":"Si 3x + 2 = 2x + 5, alors x est égal à :","option_a":"x = 3","option_b":"x = 7","option_c":"x = -3","option_d":"x = 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"3x + 2 = 2x + 5 → 3x - 2x = 5 - 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 = 7\", \"c\": \"x = -3\", \"d\": \"x = 1\"}}","_debug_options_count":4},{"id":37257,"question":"L'expression 5(x - 2) + 3 est égale à :","option_a":"5x - 7","option_b":"5x - 10 + 3","option_c":"5x - 13","option_d":"5x - 7","option_e":"","option_f":"","bonne_reponse":"b","explication":"En développant, on obtient 5x - 10 + 3 = 5x - 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\": \"5x - 7\", \"b\": \"5x - 10 + 3\", \"c\": \"5x - 13\", \"d\": \"5x - 7\"}}","_debug_options_count":4},{"id":37258,"question":"Pour x = -1, l'expression x² + 3x + 2 vaut :","option_a":"0","option_b":"2","option_c":"-2","option_d":"4","option_e":"","option_f":"","bonne_reponse":"a","explication":"(-1)² + 3*(-1) + 2 = 1 - 3 + 2 = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"0\", \"b\": \"2\", \"c\": \"-2\", \"d\": \"4\"}}","_debug_options_count":4},{"id":37259,"question":"L'équation x² = 9 a pour solutions :","option_a":"x = 3","option_b":"x = -3","option_c":"x = 3 et x = -3","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"c","explication":"x² = 9 → x = √9 ou x = -√9 → x = 3 ou x = -3.","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 = -3\", \"c\": \"x = 3 et x = -3\", \"d\": \"x = 0\"}}","_debug_options_count":4}]