Quiz Maths 1ère Année : Algèbre, Fonctions et Géométrie

Question 1 sur 10 10:00

[{"id":22958,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 2","option_c":"x = 12","option_d":"x = -4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 7, on ajoute 5 aux deux membres : 3x = 12, puis on divise par 3 : x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":22959,"question":"La fonction f(x) = 2x + 3 est une fonction linéaire.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction linéaire s'écrit f(x) = ax où a est un nombre réel. Ici, f(x) = 2x + 3 est une fonction affine (car il y a un terme constant).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":22960,"question":"Quel est l'antécédent de 5 par la fonction f(x) = -2x + 1 ?","option_a":"x = -2","option_b":"x = 3","option_c":"x = -3","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"On résout f(x) = 5 : -2x + 1 = 5 → -2x = 4 → x = -2. L'antécédent de 5 est donc -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":22961,"question":"L'aire d'un triangle de base 6 cm et de hauteur 4 cm est de 24 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"L'aire d'un triangle se calcule par (base × hauteur) \/ 2. Ici, (6 × 4) \/ 2 = 12 cm². L'affirmation est donc fausse.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":22962,"question":"Quelle est l'image de -1 par la fonction g(x) = 3x² - 2x + 1 ?","option_a":"g(-1) = 6","option_b":"g(-1) = -4","option_c":"g(-1) = 0","option_d":"g(-1) = 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"On remplace x par -1 : g(-1) = 3(-1)² - 2(-1) + 1 = 3 + 2 + 1 = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":22963,"question":"Le périmètre d'un carré de côté 5 cm est de 20 cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d'un carré se calcule par 4 × côté. Ici, 4 × 5 = 20 cm. L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":22964,"question":"Quelle est la solution de l'équation 2(x + 3) = 4x - 2 ?","option_a":"x = 2","option_b":"x = 4","option_c":"x = -2","option_d":"x = -4","option_e":"","option_f":"","bonne_reponse":"C","explication":"On développe : 2x + 6 = 4x - 2 → 6 + 2 = 4x - 2x → 8 = 2x → x = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":22965,"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 s'écrit f(x) = ax + b, et sa représentation graphique est toujours une droite. L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":22966,"question":"Quel est le périmètre d'un rectangle de longueur 8 cm et de largeur 3 cm ?","option_a":"22 cm","option_b":"24 cm","option_c":"11 cm","option_d":"16 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d'un rectangle se calcule par 2 × (longueur + largeur). Ici, 2 × (8 + 3) = 22 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":22967,"question":"L'équation x² = 9 a pour solutions x = 3 et x = -3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En effet, 3² = 9 et (-3)² = 9. Les solutions sont bien x = 3 et x = -3. L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]