Quiz — devoir-de-contrôle-n°6--2007-2008(bouslama).pdf

Question 1 sur 10 20:00

[{"id":26800,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12","option_c":"x = 2","option_d":"x = -4","option_e":"","option_f":"","bonne_reponse":"a","explication":"3x - 5 = 7 ⇒ 3x = 12 ⇒ x = 4. La solution est x = 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 = 12\", \"c\": \"x = 2\", \"d\": \"x = -4\"}}","_debug_options_count":4},{"id":26801,"question":"L'équation 2x + 3 = 2x + 5 a-t-elle une solution ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"2x + 3 = 2x + 5 ⇒ 3 = 5, ce qui est faux. L'équation n'a donc pas de solution.","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":26802,"question":"Quelle est la représentation graphique d'une fonction affine f(x) = 2x + 1 ?","option_a":"Une droite passant par (0,1) et de coefficient directeur 2","option_b":"Une parabole","option_c":"Une droite horizontale","option_d":"Une droite passant par (1,0)","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction affine f(x) = ax + b a pour représentation graphique une droite de coefficient directeur a et d'ordonnée à l'origine b.","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 passant par (0,1) et de coefficient directeur 2\", \"b\":","_debug_options_count":4},{"id":26803,"question":"Si f(x) = -3x + 2, que vaut f(1) ?","option_a":"f(1) = -1","option_b":"f(1) = 5","option_c":"f(1) = -5","option_d":"f(1) = 1","option_e":"","option_f":"","bonne_reponse":"a","explication":"f(1) = -3(1) + 2 = -3 + 2 = -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\": \"f(1) = -1\", \"b\": \"f(1) = 5\", \"c\": \"f(1) = -5\", \"d\": \"f(1) = 1\"}}","_debug_options_count":4},{"id":26804,"question":"L'inéquation 4x - 3 \u003E 5 a pour solution x \u003E 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"4x - 3 \u003E 5 ⇒ 4x \u003E 8 ⇒ x \u003E 2. La solution est correcte.","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":26805,"question":"Quelle est la solution du système d'équations { 2x + y = 5 ; x - y = 1 } ?","option_a":"x = 2, y = 1","option_b":"x = 1, y = 3","option_c":"x = 3, y = -1","option_d":"x = 0, y = 5","option_e":"","option_f":"","bonne_reponse":"a","explication":"En additionnant les deux équations : 3x = 6 ⇒ x = 2. Puis y = 1. La solution est (2, 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\": \"x = 2, y = 1\", \"b\": \"x = 1, y = 3\", \"c\": \"x = 3, y = -1\", \"d\": \"x","_debug_options_count":4},{"id":26806,"question":"La fonction f(x) = 5 est-elle une fonction affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une fonction affine s'écrit f(x) = ax + b. Ici, a = 0 et b = 5, donc c'est bien une 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\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":26807,"question":"Quelle est la solution de l'inéquation -2x + 4 ≤ 0 ?","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":"-2x + 4 ≤ 0 ⇒ -2x ≤ -4 ⇒ x ≥ 2 (en divisant par un nombre négatif, le sens de l'inégalité change).","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":26808,"question":"Si f(x) = 3x - 7, que vaut f(-1) ?","option_a":"f(-1) = -10","option_b":"f(-1) = -4","option_c":"f(-1) = 10","option_d":"f(-1) = 4","option_e":"","option_f":"","bonne_reponse":"a","explication":"f(-1) = 3(-1) - 7 = -3 - 7 = -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\": \"f(-1) = -10\", \"b\": \"f(-1) = -4\", \"c\": \"f(-1) = 10\", \"d\": \"f(-1) =","_debug_options_count":4},{"id":26809,"question":"L'équation x² - 4 = 0 a pour solutions x = 2 et x = -2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"x² - 4 = 0 ⇒ x² = 4 ⇒ x = 2 ou x = -2. Les solutions sont correctes.","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}]