Algèbre et Arithmétique : Testez vos connaissances pour le Bac !

Question 1 sur 5 10:00

[{"id":1450,"question":"Quelle est la solution de l'équation 2x + 5 = 11 ?","option_a":"x = 3","option_b":"x = 2","option_c":"x = 4","option_d":"x = 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 2x + 5 = 11, soustrayez 5 des deux côtés : 2x = 6. Divisez ensuite par 2 : x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1451,"question":"Quel est le PGCD de 48 et 18 ?","option_a":"6","option_b":"8","option_c":"12","option_d":"24","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le PGCD (Plus Grand Commun Diviseur) de 48 et 18 se calcule en utilisant l'algorithme d'Euclide : 48 = 2×18 + 12, puis 18 = 1×12 + 6, et enfin 12 = 2×6 + 0. Le PGCD est donc 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1452,"question":"Quelle est la forme factorisée de x² - 9 ?","option_a":"(x - 3)(x + 3)","option_b":"(x - 9)(x + 1)","option_c":"(x - 3)²","option_d":"(x + 3)²","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² - 9 est une différence de carrés, qui se factorise en (x - 3)(x + 3) car a² - b² = (a - b)(a + b).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1453,"question":"Quel est le résultat de (3x² + 2x - 5) + (2x² - 3x + 1) ?","option_a":"5x² - x - 4","option_b":"5x² + 5x - 4","option_c":"5x² - x + 4","option_d":"5x² + x - 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Additionnez les termes de même degré : 3x² + 2x² = 5x², 2x - 3x = -x, et -5 + 1 = -4. Le résultat est donc 5x² - x - 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1454,"question":"Quelle est la valeur de x dans l'inéquation 4x - 7 \u003E 5 ?","option_a":"x \u003E 3","option_b":"x \u003E 2","option_c":"x \u003E 4","option_d":"x \u003E 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 4x - 7 \u003E 5, ajoutez 7 des deux côtés : 4x \u003E 12. Divisez ensuite par 4 : x \u003E 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]