Quiz de révision : Mathématiques 7ème année — Algèbre et calcul

Question 1 sur 10 10:00

[{"id":25238,"question":"Quel est le résultat de l'opération 15 × (8 - 3) ?","option_a":"60","option_b":"75","option_c":"80","option_d":"90","option_e":"","option_f":"","bonne_reponse":"B","explication":"La priorité des opérations impose de calculer d'abord la parenthèse : 8 - 3 = 5. Ensuite, 15 × 5 = 75.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25239,"question":"L'équation 3x + 5 = 20 a pour solution x = 5.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En remplaçant x par 5, on obtient 3×5 + 5 = 20, soit 15 + 5 = 20, ce qui est correct. La solution est donc x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25240,"question":"Quelle est la valeur de l'expression 2a + 3b si a = 4 et b = 2 ?","option_a":"14","option_b":"11","option_c":"10","option_d":"12","option_e":"","option_f":"","bonne_reponse":"A","explication":"En remplaçant a et b par leurs valeurs : 2×4 + 3×2 = 8 + 6 = 14.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25241,"question":"La propriété de distributivité s'applique-t-elle à la soustraction ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Oui, la distributivité s'applique aussi bien à l'addition qu'à la soustraction : a×(b - c) = a×b - a×c.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25242,"question":"Quel est le résultat de 45 ÷ 9 + 6 ?","option_a":"11","option_b":"9","option_c":"10","option_d":"12","option_e":"","option_f":"","bonne_reponse":"A","explication":"La division est prioritaire : 45 ÷ 9 = 5. Ensuite, 5 + 6 = 11. Cependant, la bonne réponse est 11, mais l'option correcte est 11 (index 0). Correction : l'option correcte est 11 (index 0).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25243,"question":"Si x + 7 = 12, alors x = 5.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 7 des deux côtés de l'équation : x = 12 - 7 = 5. La solution est donc correcte.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25244,"question":"Quelle est la valeur de l'expression 3×(2 + 4) ?","option_a":"18","option_b":"12","option_c":"20","option_d":"15","option_e":"","option_f":"","bonne_reponse":"A","explication":"En calculant d'abord la parenthèse : 2 + 4 = 6. Ensuite, 3 × 6 = 18.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25245,"question":"La multiplication est-elle commutative ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Oui, la multiplication est commutative : a × b = b × a pour tous nombres a et b.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25246,"question":"Quel est le résultat de 7 × (12 - 5) + 3 ?","option_a":"52","option_b":"49","option_c":"50","option_d":"56","option_e":"","option_f":"","bonne_reponse":"A","explication":"Calcul de la parenthèse : 12 - 5 = 7. Ensuite, 7 × 7 = 49. Enfin, 49 + 3 = 52.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":25247,"question":"Si 2x - 3 = 7, alors x = 5.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En ajoutant 3 des deux côtés : 2x = 10. Ensuite, x = 10 ÷ 2 = 5. La solution est correcte.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]