Quiz Mathématiques — 1ère année secondaire : Équations, Fonctions et Géométrie

Question 1 sur 10 10:00

[{"id":18698,"question":"Quelle est la solution de l'équation 3x - 5 = 16 ?","option_a":"x = 7","option_b":"x = 11","option_c":"x = 3","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"B","explication":"Pour résoudre 3x - 5 = 16, on ajoute 5 aux deux membres : 3x = 21, puis on divise par 3 : x = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18699,"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 sous la forme f(x) = ax, sans terme constant. Ici, f(x) = 2x + 3 est une fonction affine.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18700,"question":"Quel est le coefficient directeur de la droite d'équation y = -4x + 1 ?","option_a":"-4","option_b":"1","option_c":"4","option_d":"-1","option_e":"","option_f":"","bonne_reponse":"A","explication":"Dans l'équation réduite y = mx + p, m représente le coefficient directeur. Ici, m = -4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18701,"question":"Le théorème de Pythagore s'applique-t-il à un triangle rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Pythagore énonce que dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18702,"question":"Quelle est la solution de l'inéquation 2x + 7 \u003E 15 ?","option_a":"x \u003E 4","option_b":"x \u003C 4","option_c":"x \u003E -4","option_d":"x \u003C -4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 2x + 7 \u003E 15, on soustrait 7 : 2x \u003E 8, puis on divise par 2 : x \u003E 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18703,"question":"L'aire d'un carré de côté 5 cm est de 25 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un carré se calcule par côté × côté. Ici, 5 × 5 = 25 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18704,"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":18705,"question":"Le périmètre d'un rectangle de longueur 8 cm et de largeur 3 cm est de 22 cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","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":18706,"question":"Quelle est la solution de l'équation 5(x - 2) = 3x + 4 ?","option_a":"x = 7","option_b":"x = 6","option_c":"x = 5","option_d":"x = 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant : 5x - 10 = 3x + 4. On soustrait 3x : 2x - 10 = 4. On ajoute 10 : 2x = 14. On divise par 2 : x = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18707,"question":"La droite d'équation y = 3 est parallèle à l'axe des abscisses.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une droite d'équation y = constante est parallèle à l'axe des abscisses (axe horizontal).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]