Quiz : Maîtrisez les bases de l'algèbre en Seconde !

Question 1 sur 10 10:00

[{"id":78072,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 15","option_d":"x = 5\/3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 aux deux membres : 3x = 15, puis on divise par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78073,"question":"Une fonction affine est toujours représentée par une droite.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine f(x) = ax + b est représentée par une droite dans un repère orthonormé.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78074,"question":"Quel est le développement de (2x + 3)(x - 4) ?","option_a":"2x² - 5x - 12","option_b":"2x² - 8x + 3x - 12","option_c":"2x² - 5x + 12","option_d":"2x² + 3x - 12","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant (2x + 3)(x - 4), on obtient 2x² - 8x + 3x - 12 = 2x² - 5x - 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78075,"question":"L'inéquation 2x + 1 \u003E 5 a pour solution :","option_a":"x \u003E 2","option_b":"x \u003E 3","option_c":"x \u003C 2","option_d":"x \u003C 3","option_e":"","option_f":"","bonne_reponse":"B","explication":"Résolvons 2x + 1 \u003E 5 : 2x \u003E 4 → x \u003E 2. La solution est donc x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78076,"question":"La représentation graphique d'une fonction linéaire passe toujours par l'origine.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction linéaire f(x) = ax passe par l'origine (0,0) car f(0) = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78077,"question":"Quel est le résultat de 5(x - 2) + 3x ?","option_a":"8x - 10","option_b":"8x - 2","option_c":"5x - 10 + 3x","option_d":"2x - 10","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant 5(x - 2) + 3x, on obtient 5x - 10 + 3x = 8x - 10.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78078,"question":"L'équation x² = 9 a pour solutions :","option_a":"x = 3","option_b":"x = -3","option_c":"x = 3 et x = -3","option_d":"x = 9","option_e":"","option_f":"","bonne_reponse":"C","explication":"x² = 9 → x = √9 ou x = -√9 → x = 3 ou x = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78079,"question":"Pour factoriser x² - 9, on utilise :","option_a":"(x - 3)²","option_b":"(x + 3)(x - 3)","option_c":"(x - 9)(x + 1)","option_d":"(x - 3)(x - 3)","option_e":"","option_f":"","bonne_reponse":"B","explication":"x² - 9 est une différence de carrés : (x + 3)(x - 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78080,"question":"La fonction f(x) = -2x + 1 est décroissante.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le coefficient directeur de f(x) = -2x + 1 est négatif (-2), donc la fonction est décroissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":78081,"question":"Quel est le résultat de (x + 4)² ?","option_a":"x² + 16","option_b":"x² + 8x + 16","option_c":"x² + 4x + 16","option_d":"x² + 4x + 4","option_e":"","option_f":"","bonne_reponse":"B","explication":"En développant (x + 4)², on obtient x² + 8x + 16.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]