Quiz Mathématiques 9ème : Algèbre et Géométrie

Question 1 sur 10 10:00

[{"id":14498,"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":"Pour résoudre 3x - 5 = 10, on ajoute 5 aux deux côtés : 3x = 15, puis on divise par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":14499,"question":"L'aire d'un rectangle de longueur 8 cm et de largeur 5 cm est de 40 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un rectangle se calcule par longueur × largeur. Ici, 8 × 5 = 40 cm², donc l'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":14500,"question":"Quelle est la valeur de x dans l'équation 2(x + 3) = 16 ?","option_a":"x = 5","option_b":"x = 10","option_c":"x = 2","option_d":"x = 8","option_e":"","option_f":"","bonne_reponse":"C","explication":"Développons d'abord : 2x + 6 = 16. Soustrayons 6 : 2x = 10. Divisons par 2 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":14501,"question":"Le périmètre d'un carré de côté 6 cm est de 24 cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le périmètre d'un carré se calcule par 4 × côté. Ici, 4 × 6 = 24 cm, donc l'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":14502,"question":"Quelle est la solution de l'équation 4x + 7 = 3x + 12 ?","option_a":"x = 5","option_b":"x = -5","option_c":"x = 19","option_d":"x = 12","option_e":"","option_f":"","bonne_reponse":"A","explication":"Soustraisons 3x des deux côtés : x + 7 = 12. Soustrayons 7 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":14503,"question":"L'aire d'un triangle de base 10 cm et de hauteur 6 cm est de 30 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un triangle se calcule par (base × hauteur) \/ 2. Ici, (10 × 6) \/ 2 = 30 cm², donc l'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":14504,"question":"Quelle est la valeur de y dans l'équation 5y - 2 = 3y + 8 ?","option_a":"y = 5","option_b":"y = 10","option_c":"y = 3","option_d":"y = 15","option_e":"","option_f":"","bonne_reponse":"A","explication":"Soustraisons 3y des deux côtés : 2y - 2 = 8. Ajoutons 2 : 2y = 10. Divisons par 2 : y = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":14505,"question":"Le périmètre d'un cercle de rayon 4 cm est de 8π cm.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le périmètre d'un cercle se calcule par 2πr. Ici, 2 × π × 4 = 8π cm, donc l'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":14506,"question":"Quelle est la solution de l'équation 7 - 2x = 3x + 1 ?","option_a":"x = 6\/5","option_b":"x = 1","option_c":"x = 2","option_d":"x = 4\/5","option_e":"","option_f":"","bonne_reponse":"D","explication":"Ajoutons 2x des deux côtés : 7 = 5x + 1. Soustrayons 1 : 6 = 5x. Divisons par 5 : x = 6\/5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":14507,"question":"L'aire d'un trapèze de bases 8 cm et 12 cm et de hauteur 5 cm est de 50 cm².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un trapèze se calcule par ((base1 + base2) × hauteur) \/ 2. Ici, ((8 + 12) × 5) \/ 2 = 50 cm², donc l'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]