Quiz : Maîtrisez la réduction des expressions en 1ère année secondaire
🧠 Quiz 10 questions 10 min
QUIZ INTERACTIFDiff. 5/10
Devoir de synthèse corrigé en mathématiques pour la 1ère année secondaire sur la réduction des expressions littérales. Exercices et solutions détaillées pour réviser efficacement.
Question 1 sur 10 10:00
[{"id":43536,"question":"Quelle est la forme réduite de l'expression 5x + 3x - 2x ?","option_a":"10x","option_b":"6x","option_c":"8x","option_d":"5x","option_e":"","option_f":"","bonne_reponse":"B","explication":"On regroupe les termes semblables : 5x + 3x - 2x = (5 + 3 - 2)x = 6x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43537,"question":"Les termes 4a et 7b sont-ils semblables ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Les termes sont semblables uniquement s'ils ont la même partie littérale. Ici, 4a et 7b ont des parties littérales différentes (a et b).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43538,"question":"Quelle est la réduction de l'expression 2(x + 3) + 4x ?","option_a":"6x + 6","option_b":"6x + 3","option_c":"2x + 3","option_d":"6x + 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"On développe d'abord : 2(x + 3) = 2x + 6, puis on regroupe : 2x + 6 + 4x = 6x + 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43539,"question":"Peut-on réduire l'expression 3x² + 5x + 2x² ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Oui, car les termes 3x² et 2x² sont semblables. La réduction donne : 5x² + 5x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43540,"question":"Quelle est la forme réduite de 7y - 3y + y ?","option_a":"5y","option_b":"4y","option_c":"3y","option_d":"11y","option_e":"","option_f":"","bonne_reponse":"B","explication":"On regroupe les termes : 7y - 3y + y = (7 - 3 + 1)y = 5y.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43541,"question":"L'expression 4a + 3b + 2a est-elle déjà réduite ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Non, car les termes 4a et 2a sont semblables et peuvent être regroupés : 6a + 3b.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43542,"question":"Quelle est la réduction de 5(x - 2) + 3x ?","option_a":"8x - 10","option_b":"8x - 2","option_c":"5x - 10","option_d":"2x - 10","option_e":"","option_f":"","bonne_reponse":"A","explication":"On développe : 5(x - 2) = 5x - 10, puis on regroupe : 5x - 10 + 3x = 8x - 10.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43543,"question":"Les termes 6m et -2m sont-ils semblables ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Oui, car ils ont la même partie littérale (m). Leur réduction donne : 4m.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43544,"question":"Quelle est la forme réduite de 3x + 4y - x + 2y ?","option_a":"2x + 6y","option_b":"3x + 6y","option_c":"2x + 4y","option_d":"4x + 6y","option_e":"","option_f":"","bonne_reponse":"A","explication":"On regroupe les termes semblables : (3x - x) + (4y + 2y) = 2x + 6y.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":43545,"question":"Peut-on réduire l'expression 7a + 3b + 2a - 5b ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Oui, en regroupant les termes semblables : (7a + 2a) + (3b - 5b) = 9a - 2b.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]
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