Quiz de révision : Algèbre et Géométrie pour la 4ème année collège

Question 1 sur 10 10:00

[{"id":51131,"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":51132,"question":"Le théorème de Pythagore s'applique-t-il 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":51133,"question":"Quel est le développement de (x + 3)² ?","option_a":"x² + 6x + 9","option_b":"x² + 9","option_c":"x² + 3x + 9","option_d":"x² + 6x + 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"(x + 3)² = x² + 2*3*x + 3² = x² + 6x + 9.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":51134,"question":"Si AB = 5 cm, BC = 12 cm et AC = 13 cm, le triangle ABC est-il rectangle ?","option_a":"Oui, car 5² + 12² = 13²","option_b":"Non, car les côtés ne sont pas égaux","option_c":"Oui, mais seulement si l'angle est aigu","option_d":"Non, car 13² ≠ 5² + 12²","option_e":"","option_f":"","bonne_reponse":"A","explication":"5² + 12² = 25 + 144 = 169 = 13². Le triangle est donc rectangle en B.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":51135,"question":"Une inéquation du type 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. La solution est correcte.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":51136,"question":"Quelle est la valeur de x dans l'équation 2(x - 4) = 3x + 1 ?","option_a":"x = -9","option_b":"x = 9","option_c":"x = -3","option_d":"x = 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"2(x - 4) = 3x + 1 → 2x - 8 = 3x + 1 → -8 - 1 = 3x - 2x → x = -9.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":51137,"question":"Le théorème de Thalès permet de calculer des longueurs dans des triangles semblables.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Thalès s'applique aux triangles ayant des côtés parallèles et permet d'établir des proportions entre les longueurs.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":51138,"question":"Quel est le résultat de l'expression 4x² - 9 lorsque x = 3 ?","option_a":"27","option_b":"36","option_c":"15","option_d":"0","option_e":"","option_f":"","bonne_reponse":"B","explication":"4*(3)² - 9 = 4*9 - 9 = 36 - 9 = 27. La réponse correcte est 27.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":51139,"question":"Si un triangle a des angles de 30°, 60° et 90°, est-il rectangle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Un triangle rectangle a un angle de 90°. Ici, les angles sont 30°, 60° et 90°, donc il est rectangle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":51140,"question":"Quelle est la solution de l'inéquation -2x + 5 ≤ 11 ?","option_a":"x ≥ -3","option_b":"x ≤ -3","option_c":"x ≥ 3","option_d":"x ≤ 3","option_e":"","option_f":"","bonne_reponse":"B","explication":"-2x + 5 ≤ 11 → -2x ≤ 6 → x ≥ -3 (en divisant par un nombre négatif, le sens de l'inégalité change).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]