Quiz interactif : Algèbre et équations en Seconde

Question 1 sur 10 10:00

[{"id":72312,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 12\/3","option_c":"x = 2","option_d":"x = 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 7, on ajoute 5 des deux côtés : 3x = 12, puis on divise par 3 : x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72313,"question":"L'expression (a + b)² est égale à a² + 2ab + b².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une identité remarquable bien connue : (a + b)² = a² + 2ab + b².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72314,"question":"Quelle est la forme développée de (x - 3)(x + 2) ?","option_a":"x² - x - 6","option_b":"x² + 5x - 6","option_c":"x² - 6x + 6","option_d":"x² - x + 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant : x*x + x*2 - 3*x - 3*2 = x² + 2x - 3x - 6 = x² - x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72315,"question":"L'équation 2x + 4 = 0 a pour solution x = -2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En résolvant : 2x = -4, donc x = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72316,"question":"Quelle est la valeur de x dans l'équation 5(x - 1) = 3x + 7 ?","option_a":"x = 3","option_b":"x = 6","option_c":"x = 4","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"C","explication":"En développant : 5x - 5 = 3x + 7 → 2x = 12 → x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72317,"question":"L'identité remarquable (a - b)² = a² - 2ab + b² est-elle correcte ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une identité remarquable valide : (a - b)² = a² - 2ab + b².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72318,"question":"Quelle est la solution de l'inéquation 2x - 3 \u003E 5 ?","option_a":"x \u003E 4","option_b":"x \u003E 1","option_c":"x \u003E 8","option_d":"x \u003E 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"En résolvant : 2x \u003E 8 → x \u003E 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72319,"question":"L'expression 4x² - 9 est factorisable.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une différence de carrés : 4x² - 9 = (2x - 3)(2x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72320,"question":"Quelle est la valeur de x si 3(x + 2) = 2x + 9 ?","option_a":"x = 3","option_b":"x = 5","option_c":"x = 1","option_d":"x = 7","option_e":"","option_f":"","bonne_reponse":"B","explication":"En développant : 3x + 6 = 2x + 9 → x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":72321,"question":"L'équation x² - 5x + 6 = 0 a pour solutions x = 2 et x = 3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En factorisant : (x - 2)(x - 3) = 0 → solutions x = 2 et x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]