Réduction des expressions algébriques — 1ère année secondaire

Question 1 sur 10 10:00

[{"id":53911,"question":"Quelle est la forme réduite de l'expression 3x + 5x - 2x ?","option_a":"6x","option_b":"10x","option_c":"5x","option_d":"8x","option_e":"","option_f":"","bonne_reponse":"A","explication":"On regroupe les termes en x : (3 + 5 - 2)x = 6x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":53912,"question":"L'expression 2a² × 3a est égale à :","option_a":"6a²","option_b":"6a³","option_c":"5a²","option_d":"6a","option_e":"","option_f":"","bonne_reponse":"B","explication":"On multiplie les coefficients (2×3) et on additionne les exposants des a (2+1).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":53913,"question":"Vrai ou Faux : L'expression 4x - 3y + 2x peut être réduite à 6x - 3y.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"On regroupe les termes en x : (4x + 2x) - 3y = 6x - 3y. L'expression est correctement réduite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":53914,"question":"Quelle est la forme réduite de (5x² + 3x) - (2x² - x) ?","option_a":"3x² + 4x","option_b":"7x² + 2x","option_c":"3x² + 2x","option_d":"7x² + 4x","option_e":"","option_f":"","bonne_reponse":"A","explication":"On distribue le signe moins puis on regroupe : 5x² - 2x² + 3x + x = 3x² + 4x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":53915,"question":"Vrai ou Faux : L'expression (2x)³ est égale à 8x³.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"On applique la propriété des puissances : (2x)³ = 2³ × x³ = 8x³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":53916,"question":"Quelle est la forme réduite de 4x\/2 + 3x\/2 ?","option_a":"7x\/2","option_b":"2x + 3x\/2","option_c":"7x","option_d":"5x\/2","option_e":"","option_f":"","bonne_reponse":"A","explication":"On additionne les fractions : (4x + 3x)\/2 = 7x\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":53917,"question":"Vrai ou Faux : On peut réduire l'expression 3x + 2y en un seul terme.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Les termes 3x et 2y ne sont pas semblables (x et y sont des variables différentes), donc on ne peut pas les regrouper.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":53918,"question":"Quelle est la forme réduite de (x + 2)(x - 3) ?","option_a":"x² - x - 6","option_b":"x² - 5x - 6","option_c":"x² - x + 6","option_d":"x² - 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"On développe avec la distributivité : x×x + x×(-3) + 2×x + 2×(-3) = x² - 3x + 2x - 6 = x² - x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":53919,"question":"Vrai ou Faux : L'expression 5x² + 3x² - x² est égale à 7x².","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"On regroupe les termes en x² : (5 + 3 - 1)x² = 7x².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":53920,"question":"Quelle est la forme réduite de (2x³)² \/ (4x) ?","option_a":"x⁵","option_b":"x⁴","option_c":"x³","option_d":"x⁶","option_e":"","option_f":"","bonne_reponse":"B","explication":"On applique les propriétés des puissances : (2²x⁶) \/ (4x) = (4x⁶)\/(4x) = x⁵\/x = x⁴.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]