Quiz Mathématiques — 9ème Année : Équations et Géométrie

Question 1 sur 10 10:00

[{"id":71382,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = 10","option_d":"x = 25","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x + 5 = 20, soustrayez 5 des deux côtés : 3x = 15. Divisez ensuite par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71383,"question":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est le théorème de Pythagore, une propriété fondamentale des triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71384,"question":"Quelle est la valeur de x dans l'équation 2(x - 3) = 4 ?","option_a":"x = 5","option_b":"x = 2","option_c":"x = 1","option_d":"x = 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Développez d'abord : 2x - 6 = 4. Ajoutez 6 : 2x = 10. Divisez par 2 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71385,"question":"Un angle de 90° est appelé angle aigu.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Un angle de 90° est un angle droit. Un angle aigu mesure moins de 90°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71386,"question":"Résolvez : 5x - 2 = 3x + 6.","option_a":"x = 4","option_b":"x = 2","option_c":"x = 6","option_d":"x = 8","option_e":"","option_f":"","bonne_reponse":"A","explication":"Soustraisez 3x des deux côtés : 2x - 2 = 6. Ajoutez 2 : 2x = 8. Divisez par 2 : x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71387,"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":"C'est une propriété fondamentale de la géométrie plane.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71388,"question":"Quelle est la solution de l'inéquation 4x + 1 \u003E 9 ?","option_a":"x \u003E 2","option_b":"x \u003E 3","option_c":"x \u003E 1","option_d":"x \u003E 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Soustrayez 1 : 4x \u003E 8. Divisez par 4 : x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71389,"question":"Un quadrilatère avec deux côtés parallèles est toujours un parallélogramme.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Un trapèze a deux côtés parallèles mais n'est pas forcément un parallélogramme.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71390,"question":"Calculez : (3x² + 2x - 5) + (x² - 4x + 3).","option_a":"4x² - 2x - 2","option_b":"4x² + 6x - 2","option_c":"2x² - 2x - 2","option_d":"4x² - 2x + 8","option_e":"","option_f":"","bonne_reponse":"A","explication":"Additionnez les termes semblables : 3x² + x² = 4x², 2x - 4x = -2x, -5 + 3 = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71391,"question":"La médiatrice d'un segment est une droite qui passe par le milieu du segment et est perpendiculaire à celui-ci.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est la définition même de la médiatrice en géométrie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]