Quiz — livre-algebre-1.pdf

Question 1 sur 10 20:00

[{"id":90171,"question":"Quelle est la solution de l'équation 3x - 6 = 0 ?","option_a":"x = 2","option_b":"x = -2","option_c":"x = 3","option_d":"x = 1\/2","option_e":"","option_f":"","bonne_reponse":"a","explication":"3x - 6 = 0 ⇒ 3x = 6 ⇒ x = 6\/3 = 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 = 3\", \"d\": \"x = 1\/2\"}}","_debug_options_count":4},{"id":90172,"question":"L'inéquation 2x + 5 \u003E 11 a pour solution :","option_a":"x \u003E 3","option_b":"x \u003C 3","option_c":"x \u003E -3","option_d":"x \u003C -3","option_e":"","option_f":"","bonne_reponse":"a","explication":"2x + 5 \u003E 11 ⇒ 2x \u003E 6 ⇒ 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 \u003C 3\", \"c\": \"x \u003E -3\", \"d\": \"x \u003C -3\"}}","_debug_options_count":4},{"id":90173,"question":"La fonction f(x) = 2x + 1 est-elle affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction affine s'écrit sous la forme f(x) = ax + b, ici a=2 et b=1.","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":90174,"question":"Quelle est la représentation graphique d'une équation du type y = mx + p ?","option_a":"Une droite","option_b":"Une parabole","option_c":"Un cercle","option_d":"Une hyperbole","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'équation y = mx + p est l'équation d'une droite (fonction affine).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Une droite\", \"b\": \"Une parabole\", \"c\": \"Un cercle\", \"d\": \"Une hyp","_debug_options_count":4},{"id":90175,"question":"L'ensemble des solutions de l'inéquation -x + 4 ≤ 2 est :","option_a":"x ≥ 2","option_b":"x ≤ 2","option_c":"x \u003E 2","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"b","explication":"-x + 4 ≤ 2 ⇒ -x ≤ -2 ⇒ x ≥ 2 (en multipliant par -1, on inverse le sens de l'inégalité).","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 ≥ 2\", \"b\": \"x ≤ 2\", \"c\": \"x \u003E 2\", \"d\": \"x \u003C 2\"}}","_debug_options_count":4},{"id":90176,"question":"La fonction f(x) = -3x + 7 est-elle décroissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le coefficient directeur est -3 (négatif), donc la fonction est décroissante.","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":90177,"question":"Résoudre l'équation 5(x - 2) = 3x + 10.","option_a":"x = 10","option_b":"x = 5","option_c":"x = 0","option_d":"x = -5","option_e":"","option_f":"","bonne_reponse":"a","explication":"5x - 10 = 3x + 10 ⇒ 2x = 20 ⇒ 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 = 5\", \"c\": \"x = 0\", \"d\": \"x = -5\"}}","_debug_options_count":4},{"id":90178,"question":"L'inégalité 4x - 8 \u003C 0 est équivalente à :","option_a":"x \u003C 2","option_b":"x \u003E 2","option_c":"x ≤ 2","option_d":"x ≥ 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"4x - 8 \u003C 0 ⇒ 4x \u003C 8 ⇒ x \u003C 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 \u003C 2\", \"b\": \"x \u003E 2\", \"c\": \"x ≤ 2\", \"d\": \"x ≥ 2\"}}","_debug_options_count":4},{"id":90179,"question":"La fonction f(x) = 0x + 5 est-elle une fonction constante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"f(x) = 5 est une fonction constante (droite horizontale).","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":90180,"question":"Quelle est la solution de l'équation 2(x + 3) = 4 - x ?","option_a":"x = -2\/3","option_b":"x = 2\/3","option_c":"x = -1","option_d":"x = 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"2x + 6 = 4 - x ⇒ 3x = -2 ⇒ x = -2\/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 = -2\/3\", \"b\": \"x = 2\/3\", \"c\": \"x = -1\", \"d\": \"x = 1\"}}","_debug_options_count":4}]