Quiz : Maîtrisez les équations et fonctions en Seconde

Question 1 sur 10 10:00

[{"id":72942,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 10 → 3x = 15 → x = 5. La solution est donc x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72943,"question":"L'inéquation 2x + 3 \u003E 7 a pour solution x \u003E 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 3 \u003E 7 → 2x \u003E 4 → x \u003E 2. L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72944,"question":"Quelle est l'image de 4 par la fonction f(x) = 2x² - 3x + 1 ?","option_a":"f(4) = 17","option_b":"f(4) = 21","option_c":"f(4) = 25","option_d":"f(4) = 29","option_e":"","option_f":"","bonne_reponse":"B","explication":"f(4) = 2*(4)² - 3*4 + 1 = 32 - 12 + 1 = 21.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72945,"question":"La fonction f(x) = -3x + 2 est-elle croissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur est -3 (négatif), donc la fonction est décroissante. L'affirmation est fausse.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72946,"question":"Quelle est la solution de l'équation x² - 9 = 0 ?","option_a":"x = 3","option_b":"x = -3","option_c":"x = 3 ou x = -3","option_d":"x = 9","option_e":"","option_f":"","bonne_reponse":"C","explication":"x² - 9 = 0 → x² = 9 → x = 3 ou x = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72947,"question":"L'inéquation -2x + 5 ≤ 1 a pour solution x ≥ 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"-2x + 5 ≤ 1 → -2x ≤ -4 → x ≥ 2 (en divisant par un nombre négatif, le sens de l'inégalité change). L'affirmation est fausse.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72948,"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 f(x) = ax + b a pour représentation graphique une droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72949,"question":"La fonction f(x) = 4x - 1 passe-t-elle par le point (0, -1) ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(0) = 4*0 - 1 = -1. Le point (0, -1) appartient bien à la courbe. L'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72950,"question":"Quelle est la solution de l'équation 5(x - 2) = 3x + 4 ?","option_a":"x = 7","option_b":"x = 3","option_c":"x = 6","option_d":"x = 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"5(x - 2) = 3x + 4 → 5x - 10 = 3x + 4 → 2x = 14 → x = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72951,"question":"L'inéquation 3x - 7 \u003C 2x + 1 a pour solution x \u003C 8.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 7 \u003C 2x + 1 → x \u003C 8. L'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]