Quiz Maths : Équations, fonctions et inéquations — 3ème année secondaire

Question 1 sur 10 10:00

[{"id":9243,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 2","option_c":"x = 12\/3","option_d":"x = -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 7, on ajoute 5 des deux côtés : 3x = 12, puis on divise par 3 : x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9244,"question":"La fonction f(x) = 2x + 1 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 sous la forme f(x) = ax + b. Ici, a = 2 et b = 1, donc c'est bien une fonction affine.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9245,"question":"Quelle est la représentation graphique d'une fonction linéaire ?","option_a":"Une droite passant par l'origine","option_b":"Une parabole","option_c":"Une droite parallèle à l'axe des abscisses","option_d":"Un cercle","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction linéaire f(x) = ax a pour représentation graphique une droite passant par l'origine (0,0).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9246,"question":"L'inéquation 2x + 3 \u003E 7 a pour solution :","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E 5","option_d":"x \u003C 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 2x + 3 \u003E 7, on soustrait 3 : 2x \u003E 4, puis on divise par 2 : x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9247,"question":"La fonction f(x) = x² est-elle croissante sur ℝ ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction f(x) = x² est décroissante sur ]-∞, 0] et croissante sur [0, +∞[. Elle n'est donc pas croissante sur tout ℝ.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9248,"question":"Quelle est la solution de l'inéquation -3x + 2 ≤ 11 ?","option_a":"x ≥ -3","option_b":"x ≤ -3","option_c":"x ≥ 3","option_d":"x ≤ 3","option_e":"","option_f":"","bonne_reponse":"B","explication":"Pour résoudre -3x + 2 ≤ 11, on soustrait 2 : -3x ≤ 9, puis on divise par -3 (en inversant le sens de l'inégalité) : x ≥ -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9249,"question":"La droite d'équation y = -2x + 5 a un coefficient directeur égal à :","option_a":"5","option_b":"-2","option_c":"2","option_d":"-5","option_e":"","option_f":"","bonne_reponse":"B","explication":"Dans l'équation y = ax + b, a est le coefficient directeur. Ici, a = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9250,"question":"L'équation x² - 4x + 4 = 0 admet :","option_a":"Deux solutions distinctes","option_b":"Une solution double","option_c":"Aucune solution","option_d":"Trois solutions","option_e":"","option_f":"","bonne_reponse":"B","explication":"Cette équation peut s'écrire (x - 2)² = 0, donc elle admet une solution double : x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9251,"question":"La fonction f(x) = 1\/x est-elle définie en x = 0 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction f(x) = 1\/x n'est pas définie en x = 0 car la division par zéro est impossible.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9252,"question":"Quelle est la solution de l'équation |x - 3| = 5 ?","option_a":"x = 8 ou x = -2","option_b":"x = 3 ou x = -5","option_c":"x = 2 ou x = 8","option_d":"x = -3 ou x = 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'équation |x - 3| = 5 donne deux solutions : x - 3 = 5 ⇒ x = 8, et x - 3 = -5 ⇒ x = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]