Maths 9ème : Testez vos connaissances en algèbre et géométrie

Question 1 sur 10 10:00

[{"id":54941,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = -5","option_d":"x = 10","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x + 5 = 20, soustrayez 5 des deux côtés : 3x = 15, puis divisez par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54942,"question":"Le triangle ABC est rectangle en A. Quelle propriété est toujours vraie ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés (théorème de Pythagore).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54943,"question":"Simplifiez l'expression 4a + 3b - 2a + b.","option_a":"2a + 4b","option_b":"6a + 2b","option_c":"4a + 3b","option_d":"6a - 2b","option_e":"","option_f":"","bonne_reponse":"A","explication":"Regroupez les termes semblables : (4a - 2a) + (3b + b) = 2a + 4b.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54944,"question":"Un angle de 120° est-il un angle aigu ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Un angle aigu mesure moins de 90°. 120° est un angle obtus.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54945,"question":"Quelle est la valeur de x dans l'équation 2(x - 3) = 10 ?","option_a":"x = 8","option_b":"x = 5","option_c":"x = 13","option_d":"x = 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Développez : 2x - 6 = 10 → 2x = 16 → x = 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54946,"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":54947,"question":"Développez l'expression (x + 2)(x - 3).","option_a":"x² - x - 6","option_b":"x² + x - 6","option_c":"x² - 5x - 6","option_d":"x² + 5x + 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"Utilisez la distributivité : x² - 3x + 2x - 6 = x² - x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54948,"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 (les autres côtés ne sont pas parallèles).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54949,"question":"Résolvez l'inéquation 5x - 7 \u003E 18.","option_a":"x \u003E 5","option_b":"x \u003E 1","option_c":"x \u003E 11","option_d":"x \u003E 25","option_e":"","option_f":"","bonne_reponse":"A","explication":"Ajoutez 7 : 5x \u003E 25 → divisez par 5 : x \u003E 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54950,"question":"Le périmètre d'un carré de côté 4 cm est de 16 cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Périmètre = 4 × côté = 4 × 4 = 16 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]