Maths Seconde : Testez vos connaissances sur les équations et fonctions !

Question 1 sur 10 10:00

[{"id":56791,"question":"Quelle est la solution de l'équation 3x + 5 = 2x - 7 ?","option_a":"x = -12","option_b":"x = -2","option_c":"x = 12","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 2x des deux côtés et en retranchant 5, on obtient x = -12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56792,"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 s'écrit sous la forme f(x) = ax + b. Ici, le terme x² indique qu'il s'agit d'une fonction polynôme du second degré.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56793,"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 + 9)(x - 1)","option_e":"","option_f":"","bonne_reponse":"A","explication":"Il s'agit d'une identité remarquable : a² - b² = (a - b)(a + b). Ici, a = x et b = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56794,"question":"L'inéquation 2x - 5 \u003E 3 a pour solution :","option_a":"x \u003E 4","option_b":"x \u003C 4","option_c":"x \u003E 1","option_d":"x \u003C 1","option_e":"","option_f":"","bonne_reponse":"C","explication":"En ajoutant 5 des deux côtés, on obtient 2x \u003E 8, puis en divisant par 2, x \u003E 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56795,"question":"La représentation graphique d'une fonction affine est toujours une droite.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine est définie par f(x) = ax + b, dont la courbe représentative est une droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56796,"question":"Quelle est la valeur de f(2) pour f(x) = x² - 4x + 3 ?","option_a":"-1","option_b":"3","option_c":"-3","option_d":"1","option_e":"","option_f":"","bonne_reponse":"A","explication":"En remplaçant x par 2 : f(2) = 2² - 4*2 + 3 = 4 - 8 + 3 = -1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56797,"question":"L'équation x² + 4x + 4 = 0 a pour solution :","option_a":"x = 2","option_b":"x = -2","option_c":"x = 0","option_d":"x = 4","option_e":"","option_f":"","bonne_reponse":"B","explication":"Cette équation est un carré parfait : (x + 2)² = 0, donc x = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56798,"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":56799,"question":"Quelle est la solution de l'inéquation -2x + 6 ≤ 0 ?","option_a":"x ≥ 3","option_b":"x ≤ 3","option_c":"x \u003E 3","option_d":"x \u003C 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"En retranchant 6 : -2x ≤ -6, puis en divisant par -2 (sens de l'inégalité inversé) : x ≥ 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56800,"question":"La courbe d'une fonction polynôme du second degré est toujours une parabole.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction polynôme du second degré s'écrit f(x) = ax² + bx + c, et sa représentation graphique est une parabole.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]