Quiz : Maîtrisez l'algèbre en 1ère année secondaire

Question 1 sur 10 10:00

[{"id":80232,"question":"Quelle est la solution de l'équation 3x + 5 = 2x - 7 ?","option_a":"x = -12","option_b":"x = 12","option_c":"x = -2","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 2x des deux côtés et en soustrayant 5, on obtient x = -12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":80233,"question":"Le développement de (2x - 3)(x + 4) donne :","option_a":"2x² + 5x - 12","option_b":"2x² - 5x - 12","option_c":"2x² + 5x + 12","option_d":"2x² - 5x + 12","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le développement donne 2x² + 8x - 3x - 12 = 2x² + 5x - 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":80234,"question":"Vrai ou Faux : La factorisation de x² - 9 est (x - 3)(x + 3).","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une identité remarquable : x² - 9 = (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":80235,"question":"Quelle est la valeur de l'expression -3 × (-4) + 2 ?","option_a":"-10","option_b":"14","option_c":"-14","option_d":"10","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le produit de deux nombres négatifs est positif : -3 × (-4) = 12. Puis 12 + 2 = 14.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":80236,"question":"La factorisation de 5x + 10 est :","option_a":"5(x + 2)","option_b":"x(5 + 10)","option_c":"5x + 10","option_d":"10(0.5x + 1)","option_e":"","option_f":"","bonne_reponse":"A","explication":"On factorise par le PGCD des coefficients : 5x + 10 = 5(x + 2).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":80237,"question":"Vrai ou Faux : L'équation 2x = 0 a pour solution x = 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La solution est x = 0, car 2 × 0 = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":80238,"question":"Quel est le résultat de (3x - 2)² ?","option_a":"9x² - 12x + 4","option_b":"9x² + 12x + 4","option_c":"9x² - 4","option_d":"3x² - 4x + 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le carré d'une différence donne : (3x)² - 2×3x×2 + 2² = 9x² - 12x + 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":80239,"question":"Si x = -2, quelle est la valeur de 4x + 7 ?","option_a":"-1","option_b":"15","option_c":"-15","option_d":"1","option_e":"","option_f":"","bonne_reponse":"C","explication":"En remplaçant x par -2 : 4 × (-2) + 7 = -8 + 7 = -1. La bonne réponse est -1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":80240,"question":"Vrai ou Faux : La somme de deux nombres opposés est toujours nulle.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Par définition, a + (-a) = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":80241,"question":"Quelle est la solution de l'équation x\/3 = -5 ?","option_a":"x = -15","option_b":"x = 15","option_c":"x = -5\/3","option_d":"x = 5\/3","option_e":"","option_f":"","bonne_reponse":"A","explication":"En multipliant les deux côtés par 3, on obtient x = -15.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]