Quiz — Algèbre.cor.cont.pdf

Question 1 sur 10 20:00

[{"id":69801,"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 = 7","option_e":"","option_f":"","bonne_reponse":"a","explication":"Soustraire 5 des deux côtés donne 3x = 15, puis diviser par 3 donne 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 = 7\"}}","_debug_options_count":4},{"id":69802,"question":"L'expression 2(x + 3) est égale à 2x + 6.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le développement de 2(x + 3) donne bien 2x + 6, d'après la distributivité.","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":69803,"question":"Quelle est la solution de l'équation 4x - 7 = 2x + 5 ?","option_a":"x = 6","option_b":"x = 3","option_c":"x = 4","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"b","explication":"Soustraire 2x des deux côtés donne 2x - 7 = 5, puis ajouter 7 donne 2x = 12, et enfin x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"x = 6\", \"b\": \"x = 3\", \"c\": \"x = 4\", \"d\": \"x = 2\"}}","_debug_options_count":4},{"id":69804,"question":"L'expression x² - 9 peut être factorisée en (x - 3)(x + 3).","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est une identité remarquable : a² - b² = (a - b)(a + b). Ici, x² - 9 = (x - 3)(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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":69805,"question":"Quelle est la solution de l'inéquation 2x + 1 \u003E 7 ?","option_a":"x \u003E 3","option_b":"x \u003E 4","option_c":"x \u003C 3","option_d":"x \u003C 4","option_e":"","option_f":"","bonne_reponse":"a","explication":"Soustraire 1 des deux côtés donne 2x \u003E 6, puis diviser par 2 donne x \u003E 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 \u003E 3\", \"b\": \"x \u003E 4\", \"c\": \"x \u003C 3\", \"d\": \"x \u003C 4\"}}","_debug_options_count":4},{"id":69806,"question":"L'expression 5x - 2x est égale à 3x.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Soustraire les coefficients donne 5x - 2x = 3x, d'après la règle de simplification.","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":69807,"question":"Quelle est la solution de l'équation 3(x - 2) = 15 ?","option_a":"x = 7","option_b":"x = 5","option_c":"x = 3","option_d":"x = 9","option_e":"","option_f":"","bonne_reponse":"a","explication":"Diviser par 3 donne x - 2 = 5, puis ajouter 2 donne x = 7.","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 = 7\", \"b\": \"x = 5\", \"c\": \"x = 3\", \"d\": \"x = 9\"}}","_debug_options_count":4},{"id":69808,"question":"L'expression x² + 6x + 9 est un carré parfait.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est l'identité (x + 3)² = x² + 6x + 9, donc c'est un carré parfait.","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":69809,"question":"Quelle est la solution de l'équation 2x + 3 = 5x - 6 ?","option_a":"x = 3","option_b":"x = -3","option_c":"x = 1","option_d":"x = -1","option_e":"","option_f":"","bonne_reponse":"b","explication":"Soustraire 2x des deux côtés donne 3 = 3x - 6, puis ajouter 6 donne 9 = 3x, et enfin x = 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\": \"x = 3\", \"b\": \"x = -3\", \"c\": \"x = 1\", \"d\": \"x = -1\"}}","_debug_options_count":4},{"id":69810,"question":"L'expression 4(x + 2) - 2x est égale à 2x + 8.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Développer donne 4x + 8 - 2x = 2x + 8, donc l'affirmation est vraie.","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}]