Quiz : Maîtrisez les fonctions, équations et inéquations en Seconde

Question 1 sur 10 10:00

[{"id":44066,"question":"Quelle est l'image de 3 par la fonction f définie par f(x) = 2x + 1 ?","option_a":"5","option_b":"7","option_c":"6","option_d":"4","option_e":"","option_f":"","bonne_reponse":"B","explication":"L'image de 3 par f est obtenue en remplaçant x par 3 dans l'expression de f : f(3) = 2*3 + 1 = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44067,"question":"L'équation 3x - 5 = 1 a pour solution x = 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La solution de l'équation 3x - 5 = 1 est x = 2, car 3*2 - 5 = 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44068,"question":"Quelle est la représentation graphique d'une fonction affine ?","option_a":"Une droite","option_b":"Une parabole","option_c":"Un cercle","option_d":"Une hyperbole","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine a pour représentation graphique une droite, car elle est de la forme f(x) = ax + b.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44069,"question":"L'inéquation 2x + 3 \u003E 7 a pour solution :","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E -2","option_d":"x \u003C -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 2x + 3 \u003E 7, soustrayez 3 des deux côtés : 2x \u003E 4, puis divisez par 2 : x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44070,"question":"La fonction f(x) = x² est une fonction affine.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction f(x) = x² est une fonction polynôme du second degré, pas une fonction affine.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44071,"question":"Quelle est la solution de l'équation -4x + 8 = 0 ?","option_a":"x = -2","option_b":"x = 2","option_c":"x = 0","option_d":"x = 4","option_e":"","option_f":"","bonne_reponse":"B","explication":"Pour résoudre -4x + 8 = 0, soustrayez 8 des deux côtés : -4x = -8, puis divisez par -4 : x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44072,"question":"L'inéquation -3x + 1 ≤ 4 a pour solution :","option_a":"x ≥ -1","option_b":"x ≤ -1","option_c":"x ≥ 1","option_d":"x ≤ 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre -3x + 1 ≤ 4, soustrayez 1 : -3x ≤ 3, puis divisez par -3 (attention au changement de sens) : x ≥ -1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44073,"question":"La fonction f(x) = 5 est une fonction constante.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La fonction f(x) = 5 est une fonction constante, car elle associe toujours 5 à tout x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44074,"question":"Quelle est la solution de l'équation 2(x - 3) = 4 ?","option_a":"x = 5","option_b":"x = 1","option_c":"x = 3","option_d":"x = -1","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 2(x - 3) = 4, divisez par 2 : x - 3 = 2, puis ajoutez 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":44075,"question":"L'inéquation x² \u003E 4 a pour solution :","option_a":"x \u003E 2 ou x \u003C -2","option_b":"x \u003E -2","option_c":"-2 \u003C x \u003C 2","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'inéquation x² \u003E 4 est vérifiée lorsque x est supérieur à 2 ou inférieur à -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]