Quiz : Maîtrisez les équations et calculs algébriques — Seconde

Question 1 sur 10 10:00

[{"id":27888,"question":"Quelle est la solution de l'équation 3x - 5 = 7 ?","option_a":"x = 4","option_b":"x = 2","option_c":"x = 12","option_d":"x = -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 7, on ajoute d'abord 5 des deux côtés : 3x = 12. Ensuite, on divise par 3 : x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27889,"question":"L'expression 2(3x + 4) est égale à 6x + 4.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"En développant 2(3x + 4), on obtient 6x + 8, pas 6x + 4. L'affirmation est donc fausse.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27890,"question":"Quelle est la solution de l'équation 2x + 3 = x - 5 ?","option_a":"x = -8","option_b":"x = 8","option_c":"x = -2","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"On soustrait x des deux côtés : x + 3 = -5. Ensuite, on soustrait 3 : x = -8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27891,"question":"L'expression 5x² - 3x + 2 est un polynôme du second degré.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Un polynôme du second degré a un terme en x² comme degré le plus élevé. Ici, c'est bien le cas, donc l'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27892,"question":"Quelle est la valeur de x dans l'équation 4(x - 2) = 2x + 8 ?","option_a":"x = 8","option_b":"x = 4","option_c":"x = 6","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"B","explication":"On développe d'abord : 4x - 8 = 2x + 8. On soustrait 2x : 2x - 8 = 8. On ajoute 8 : 2x = 16. On divise par 2 : x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27893,"question":"L'expression (x + 3)(x - 3) est égale à x² - 9.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En utilisant l'identité remarquable (a + b)(a - b) = a² - b², on obtient bien x² - 9. L'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27894,"question":"Quelle est la solution de l'équation 5 - 2x = 3x + 10 ?","option_a":"x = -1","option_b":"x = 1","option_c":"x = -5","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"On ajoute 2x des deux côtés : 5 = 5x + 10. On soustrait 10 : -5 = 5x. On divise par 5 : x = -1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27895,"question":"L'expression 3x + 2x est égale à 5x.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En combinant les termes semblables, 3x + 2x = 5x. L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27896,"question":"Quelle est la solution de l'équation 7x - 4 = 3x + 12 ?","option_a":"x = 4","option_b":"x = 8","option_c":"x = 2","option_d":"x = 6","option_e":"","option_f":"","bonne_reponse":"B","explication":"On soustrait 3x des deux côtés : 4x - 4 = 12. On ajoute 4 : 4x = 16. On divise par 4 : x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27897,"question":"L'expression (2x + 1)² est égale à 4x² + 4x + 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant (2x + 1)² avec l'identité (a + b)² = a² + 2ab + b², on obtient 4x² + 4x + 1. L'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]