Quiz : Maîtrisez les équations et la géométrie en 9ème année

Question 1 sur 10 10:00

[{"id":9043,"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 = 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Soustraire 5 des deux côtés donne 3x = 15, puis diviser par 3 donne x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9044,"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 l'énoncé du théorème de Pythagore, une propriété fondamentale en géométrie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9045,"question":"Résoudre : 2(x - 3) = 4x + 1","option_a":"x = -3.5","option_b":"x = -7","option_c":"x = 3.5","option_d":"x = 7","option_e":"","option_f":"","bonne_reponse":"A","explication":"Développer donne 2x - 6 = 4x + 1, puis isoler x donne x = -3.5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9046,"question":"Si un triangle a des côtés de 3 cm et 4 cm, quelle est la longueur de l'hypoténuse ?","option_a":"5 cm","option_b":"7 cm","option_c":"6 cm","option_d":"4 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore : 3² + 4² = 5², donc l'hypoténuse mesure 5 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9047,"question":"L'équation 5x = 0 a pour solution x = 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La solution est x = 0, car 5 × 0 = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9048,"question":"Quelle est la valeur de x dans l'équation 4x - 7 = 2x + 5 ?","option_a":"x = 6","option_b":"x = 3","option_c":"x = 12","option_d":"x = -6","option_e":"","option_f":"","bonne_reponse":"A","explication":"Soustraire 2x et ajouter 7 donne 2x = 12, puis x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9049,"question":"Un triangle rectangle isocèle a deux côtés égaux de 5 cm. Quelle est la longueur de l'hypoténuse ?","option_a":"5√2 cm","option_b":"10 cm","option_c":"5 cm","option_d":"7.07 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore : hypoténuse = 5√2 cm (√(5² + 5²)).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9050,"question":"La solution de l'équation 0.5x + 3 = 2 est x = -2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Soustraire 3 donne 0.5x = -1, puis x = -2 est correct.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9051,"question":"Quelle est la solution de l'équation 7 - 2x = 3x + 1 ?","option_a":"x = 1.2","option_b":"x = 6","option_c":"x = -1.2","option_d":"x = 0.8","option_e":"","option_f":"","bonne_reponse":"A","explication":"Ajouter 2x et soustraire 1 donne 6 = 5x, puis x = 1.2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":9052,"question":"Dans un triangle rectangle, si les côtés de l'angle droit mesurent 6 cm et 8 cm, l'hypoténuse mesure 10 cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"6² + 8² = 36 + 64 = 100, donc hypoténuse = √100 = 10 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]