Quiz — MATH S1.pdf

Question 1 sur 10 20:00

[{"id":3906,"question":"Quelle est la solution de l'équation 3x + 5 = 2x - 7 ?","option_a":"x = -12","option_b":"x = 12","option_c":"x = -2","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"En soustrayant 2x des deux côtés et en soustrayant 5, on obtient x = -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\": \"x = -12\", \"b\": \"x = 12\", \"c\": \"x = -2\", \"d\": \"x = 2\"}}","_debug_options_count":4},{"id":3907,"question":"L'expression 2(x + 3) est égale à 2x + 3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"L'expression correcte est 2x + 6, car on distribue le 2 à chaque terme de la parenthèse.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":3908,"question":"Quelle est la solution de l'inéquation 4x - 1 \u003E 7x + 5 ?","option_a":"x \u003C -2","option_b":"x \u003E -2","option_c":"x \u003C 2","option_d":"x \u003E 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"En simplifiant, on obtient -3x \u003E 6, soit x \u003C -2 (en divisant par un nombre négatif, l'inégalité change de sens).","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 \u003C -2\", \"b\": \"x \u003E -2\", \"c\": \"x \u003C 2\", \"d\": \"x \u003E 2\"}}","_debug_options_count":4},{"id":3909,"question":"Le développement de (x - 2)(x + 5) donne :","option_a":"x² + 3x - 10","option_b":"x² - 3x - 10","option_c":"x² + 7x - 10","option_d":"x² - 7x + 10","option_e":"","option_f":"","bonne_reponse":"b","explication":"En utilisant la distributivité, on obtient x² + 5x - 2x - 10 = x² + 3x - 10. Attention, la bonne réponse est x² + 3x - 10 (option 1).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"x² + 3x - 10\", \"b\": \"x² - 3x - 10\", \"c\": \"x² + 7x - 10\", \"d\": ","_debug_options_count":4},{"id":3910,"question":"L'équation x² = 9 a pour solutions :","option_a":"x = 3","option_b":"x = -3","option_c":"x = 3 ou x = -3","option_d":"x = 0","option_e":"","option_f":"","bonne_reponse":"c","explication":"Les solutions sont x = 3 et x = -3, car 3² = 9 et (-3)² = 9.","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 ou x = -3\", \"d\": \"x = 0\"}}","_debug_options_count":4},{"id":3911,"question":"L'inégalité 5 \u003E 2 est toujours vraie.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'inégalité 5 \u003E 2 est bien toujours vraie, car 5 est supérieur à 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":3912,"question":"Quelle est la valeur de x dans l'équation 2(x + 4) = 3x - 1 ?","option_a":"x = 7","option_b":"x = 9","option_c":"x = -9","option_d":"x = -7","option_e":"","option_f":"","bonne_reponse":"c","explication":"En développant, on obtient 2x + 8 = 3x - 1. En soustrayant 2x, on a 8 = x - 1, soit x = 9. La bonne réponse est x = 9 (option 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 = 7\", \"b\": \"x = 9\", \"c\": \"x = -9\", \"d\": \"x = -7\"}}","_debug_options_count":4},{"id":3913,"question":"L'expression 3x² - 5x + 2 est un polynôme du second degré.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est un polynôme du second degré car le terme de plus haut degré est x².","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":3914,"question":"Quelle est la solution de l'équation 5(x - 1) = 3(x + 2) ?","option_a":"x = 5.5","option_b":"x = 4","option_c":"x = 6.5","option_d":"x = 3.5","option_e":"","option_f":"","bonne_reponse":"a","explication":"En développant, on obtient 5x - 5 = 3x + 6. En soustrayant 3x, on a 2x - 5 = 6, soit 2x = 11, donc x = 5.5.","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 = 5.5\", \"b\": \"x = 4\", \"c\": \"x = 6.5\", \"d\": \"x = 3.5\"}}","_debug_options_count":4},{"id":3915,"question":"L'inéquation 2x + 3 ≤ 7 a pour solution :","option_a":"x ≤ 2","option_b":"x ≥ 2","option_c":"x ≤ -2","option_d":"x ≥ -2","option_e":"","option_f":"","bonne_reponse":"a","explication":"En soustrayant 3, on obtient 2x ≤ 4, soit 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 ≥ -2\"}}","_debug_options_count":4}]