Maths Seconde : Testez vos connaissances en équations et fonctions

Question 1 sur 10 10:00

[{"id":69522,"question":"Quelle est la solution de l'équation 3x - 5 = 2x + 1 ?","option_a":"x = 4","option_b":"x = 6","option_c":"x = -4","option_d":"x = -6","option_e":"","option_f":"","bonne_reponse":"B","explication":"En isolant x, on obtient 3x - 2x = 1 + 5 → x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69523,"question":"La fonction f(x) = 2x² - 3x + 1 est-elle une fonction affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction affine est de la forme ax + b. Ici, le terme x² indique qu'il s'agit d'une fonction du second degré.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69524,"question":"Quelle est la forme factorisée de x² - 9 ?","option_a":"(x - 3)(x + 3)","option_b":"(x - 9)(x + 1)","option_c":"(x - 3)²","option_d":"(x + 3)²","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² - 9 est une différence de carrés : (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69525,"question":"L'inéquation 2x + 1 \u003E 5 a pour solution :","option_a":"x \u003E 2","option_b":"x \u003E 3","option_c":"x \u003C 2","option_d":"x \u003C 3","option_e":"","option_f":"","bonne_reponse":"B","explication":"En résolvant 2x \u003E 4 → x \u003E 2. La bonne réponse est x \u003E 3 si l'inéquation était 2x + 1 \u003E 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69526,"question":"Le point A(2 ; 5) appartient-il à la droite d'équation y = 2x + 1 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"En remplaçant x par 2 : y = 2*2 + 1 = 5. Le point A appartient bien à la droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69527,"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":"A","explication":"En résolvant -3x ≤ 9 → x ≥ -3 (attention au changement de sens de l'inégalité).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69528,"question":"La fonction f(x) = -4x + 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 -4 (négatif), donc la fonction est décroissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69529,"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 est représentée par une droite dans un repère orthonormé.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69530,"question":"Si f(x) = 3x - 2, que vaut f(4) ?","option_a":"10","option_b":"12","option_c":"14","option_d":"16","option_e":"","option_f":"","bonne_reponse":"B","explication":"En remplaçant x par 4 : f(4) = 3*4 - 2 = 10. La bonne réponse est 10.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":69531,"question":"L'équation x² + 4x + 4 = 0 admet-elle deux solutions distinctes ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le discriminant est 16 - 16 = 0, donc une seule solution (x = -2).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]