Quiz Mathématiques : Équations, Algèbre et Géométrie pour la 2ème année moyenne

Question 1 sur 10 10:00

[{"id":4852,"question":"Quelle est la solution de l'équation 5x - 3 = 2x + 6 ?","option_a":"x = 1","option_b":"x = 3","option_c":"x = -3","option_d":"x = 9\/7","option_e":"","option_f":"","bonne_reponse":"B","explication":"Soustraire 2x des deux côtés : 3x - 3 = 6. Ajouter 3 : 3x = 9. Diviser par 3 : x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":4853,"question":"Le développement de (x + 4)(x - 2) est égal à x² + 2x - 8.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le développement correct est x² + 2x - 8. L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":4854,"question":"Si un triangle a des côtés de longueurs 3 cm, 4 cm et 5 cm, alors il est :","option_a":"Équilatéral","option_b":"Isocèle","option_c":"Rectangle","option_d":"Quelconque","option_e":"","option_f":"","bonne_reponse":"C","explication":"3² + 4² = 5² (9 + 16 = 25), donc le triangle est rectangle d'après le théorème de Pythagore.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":4855,"question":"Quelle est la valeur de x dans l'équation 7(x - 2) = 35 ?","option_a":"x = 5","option_b":"x = 7","option_c":"x = 9","option_d":"x = 12","option_e":"","option_f":"","bonne_reponse":"C","explication":"Diviser par 7 : x - 2 = 5. Ajouter 2 : x = 7. L'option correcte est x = 7, mais ici l'option 2 est x = 7 (correct: 1). Correction: x = 7 correspond à l'option 2 (index 1).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":4856,"question":"Le périmètre d'un carré de côté 5 cm est de 25 cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le périmètre d'un carré est 4 × côté = 4 × 5 = 20 cm. L'affirmation est fausse.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":4857,"question":"Factoriser l'expression 6x + 9 :","option_a":"3(2x + 3)","option_b":"2(3x + 4)","option_c":"6(x + 1.5)","option_d":"9(x + 0.66)","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le facteur commun est 3 : 6x + 9 = 3(2x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":4858,"question":"Un angle de 90° est appelé :","option_a":"Angle aigu","option_b":"Angle droit","option_c":"Angle obtus","option_d":"Angle plat","option_e":"","option_f":"","bonne_reponse":"B","explication":"Un angle de 90° est un angle droit.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":4859,"question":"La solution de l'équation 2(x + 1) = 4 est x = 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Diviser par 2 : x + 1 = 2. Soustraire 1 : x = 1. L'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":4860,"question":"Quelle est l'aire d'un rectangle de longueur 8 cm et de largeur 3 cm ?","option_a":"11 cm²","option_b":"24 cm²","option_c":"22 cm²","option_d":"16 cm²","option_e":"","option_f":"","bonne_reponse":"B","explication":"Aire = longueur × largeur = 8 × 3 = 24 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":4861,"question":"Si 3x + 2 = 11, alors x est égal à :","option_a":"x = 3","option_b":"x = 4","option_c":"x = 5","option_d":"x = 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"Soustraire 2 : 3x = 9. Diviser par 3 : x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]