Quiz : Maîtrisez les équations et fonctions en 9ème année !

Question 1 sur 10 10:00

[{"id":42806,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 15","option_d":"x = 5\/3","option_e":"","option_f":"","bonne_reponse":"B","explication":"La solution est obtenue en isolant x : 3x = 20 - 5 → 3x = 15 → x = 15\/3 = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42807,"question":"Une fonction affine a toujours une représentation graphique en ligne droite.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Toutes les fonctions affines (f(x) = ax + b) ont une représentation graphique en ligne droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42808,"question":"Quelle est la solution de l'inéquation 2x - 3 \u003C 7 ?","option_a":"x \u003C 5","option_b":"x \u003E 5","option_c":"x ≤ 5","option_d":"x ≥ 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Résolvez l'inéquation : 2x \u003C 10 → x \u003C 5. Le sens de l'inégalité ne change pas car on divise par un nombre positif.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42809,"question":"Le théorème de Pythagore s'applique à tous les triangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42810,"question":"Quelle est l'expression de la fonction linéaire passant par le point (2, 4) ?","option_a":"f(x) = 2x","option_b":"f(x) = 4x","option_c":"f(x) = x\/2","option_d":"f(x) = 2x + 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction linéaire s'écrit f(x) = ax. En remplaçant x par 2 et f(x) par 4 : 4 = 2a → a = 2. Donc f(x) = 2x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42811,"question":"L'aire d'un rectangle de longueur 5 cm et de largeur 3 cm est de :","option_a":"8 cm²","option_b":"15 cm²","option_c":"16 cm²","option_d":"12 cm²","option_e":"","option_f":"","bonne_reponse":"B","explication":"L'aire d'un rectangle est calculée par longueur × largeur : 5 × 3 = 15 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42812,"question":"La fonction f(x) = -3x + 2 est-elle croissante ou décroissante ?","option_a":"Croissante","option_b":"Décroissante","option_c":"Constante","option_d":"Nulle","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction affine f(x) = ax + b est décroissante si a \u003C 0. Ici, a = -3, donc la fonction est décroissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42813,"question":"Le périmètre d'un carré de côté 4 cm est de :","option_a":"8 cm","option_b":"12 cm","option_c":"16 cm","option_d":"20 cm","option_e":"","option_f":"","bonne_reponse":"C","explication":"Le périmètre d'un carré est calculé par 4 × côté : 4 × 4 = 16 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42814,"question":"Résoudre l'équation 5(x - 2) = 15.","option_a":"x = 5","option_b":"x = 3","option_c":"x = 1","option_d":"x = -1","option_e":"","option_f":"","bonne_reponse":"A","explication":"Développez : 5x - 10 = 15 → 5x = 25 → x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42815,"question":"La somme des angles d'un triangle est toujours égale à 180°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Dans un triangle, la somme des angles est toujours égale à 180°, quelle que soit sa forme.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]