Arithmétique et Algèbre : Testez vos connaissances en 3ème année secondaire

Question 1 sur 10 10:00

[{"id":70492,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = 4","option_d":"x = 25\/3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x + 5 = 20, soustrayez 5 des deux côtés : 3x = 15. Divisez ensuite par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70493,"question":"L'équation x² - 4x + 4 = 0 a-t-elle une solution réelle ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Cette équation est un carré parfait : (x - 2)² = 0. Elle a donc une solution réelle double : x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70494,"question":"Quel est le PGCD de 36 et 48 ?","option_a":"6","option_b":"12","option_c":"18","option_d":"24","option_e":"","option_f":"","bonne_reponse":"B","explication":"Les facteurs premiers de 36 sont 2² × 3² et ceux de 48 sont 2⁴ × 3. Le PGCD est donc 2² × 3 = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70495,"question":"L'inégalité 2x - 7 \u003E 5 est-elle équivalente à x \u003E 6 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En ajoutant 7 des deux côtés : 2x \u003E 12. En divisant par 2 : x \u003E 6. L'inégalité est donc équivalente.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70496,"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 : (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70497,"question":"Le nombre 12345 est-il divisible par 3 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La somme des chiffres de 12345 est 1+2+3+4+5 = 15, qui est divisible par 3. Donc 12345 est divisible par 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70498,"question":"Quelle est la solution de l'inéquation 4x - 8 ≤ 12 ?","option_a":"x ≤ 5","option_b":"x ≤ 4","option_c":"x ≤ 6","option_d":"x ≤ 20","option_e":"","option_f":"","bonne_reponse":"A","explication":"Ajoutez 8 des deux côtés : 4x ≤ 20. Divisez par 4 : x ≤ 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70499,"question":"Le nombre 17 est-il un nombre premier ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Un nombre premier n'a que deux diviseurs : 1 et lui-même. 17 n'est divisible que par 1 et 17, donc c'est un nombre premier.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70500,"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 = -1","option_d":"x = 8","option_e":"","option_f":"","bonne_reponse":"A","explication":"Divisez d'abord par 2 : x + 3 = 8. Soustrayez ensuite 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":70501,"question":"L'expression 3x² + 6x + 3 peut-elle être factorisée ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Oui, elle peut être factorisée en 3(x² + 2x + 1) = 3(x + 1)².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]