Quiz interactif : Algèbre de base pour la 1ère année secondaire

Question 1 sur 10 10:00

[{"id":71792,"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},{"id":71793,"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},{"id":71794,"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},{"id":71795,"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},{"id":71796,"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},{"id":71797,"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},{"id":71798,"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},{"id":71799,"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},{"id":71800,"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},{"id":71801,"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}]