Maths 1ère année : Testez vos connaissances en nombres et équations !

Question 1 sur 10 10:00

[{"id":54301,"question":"Quel est le résultat de l'opération suivante : (-5) + 8 - (-3) ?","option_a":"6","option_b":"0","option_c":"-6","option_d":"10","option_e":"","option_f":"","bonne_reponse":"A","explication":"On applique les règles des nombres relatifs : (-5) + 8 = 3, puis 3 - (-3) = 3 + 3 = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54302,"question":"L'équation 2x - 5 = 7 a pour solution :","option_a":"x = 6","option_b":"x = 1","option_c":"x = -1","option_d":"x = 12","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x - 5 = 7 → 2x = 12 → x = 6. On vérifie en remplaçant x par 6 dans l'équation.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54303,"question":"Vrai ou Faux : La somme de deux nombres négatifs est toujours négative.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Exemple : (-3) + (-4) = -7, qui est bien négatif. La propriété est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54304,"question":"Quel est le produit de (-4) × (-2) × 3 ?","option_a":"-24","option_b":"24","option_c":"-12","option_d":"12","option_e":"","option_f":"","bonne_reponse":"B","explication":"On multiplie d'abord les deux nombres négatifs : (-4) × (-2) = 8, puis 8 × 3 = 24.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54305,"question":"Vrai ou Faux : Dans une proportion, le produit des extrêmes est égal au produit des moyens.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est la propriété fondamentale des proportions : si a\/b = c\/d, alors a × d = b × c.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54306,"question":"Résolvez l'inéquation : 3x + 2 \u003E 11.","option_a":"x \u003E 3","option_b":"x \u003C 3","option_c":"x \u003E -3","option_d":"x \u003C -3","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x + 2 \u003E 11 → 3x \u003E 9 → x \u003E 3. On divise par 3 sans changer le sens de l'inégalité.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54307,"question":"Quel est le résultat de 5\/6 - 1\/3 ?","option_a":"1\/2","option_b":"4\/9","option_c":"1\/3","option_d":"2\/3","option_e":"","option_f":"","bonne_reponse":"A","explication":"On met au même dénominateur : 5\/6 - 2\/6 = 3\/6 = 1\/2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54308,"question":"Vrai ou Faux : L'opposé d'un nombre est toujours négatif.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"L'opposé de -5 est 5, qui est positif. La propriété est donc fausse.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54309,"question":"Calculez : (-2)³.","option_a":"-8","option_b":"8","option_c":"-6","option_d":"6","option_e":"","option_f":"","bonne_reponse":"A","explication":"(-2)³ = (-2) × (-2) × (-2) = -8. Un nombre négatif élevé à une puissance impaire reste négatif.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":54310,"question":"Quel est le résultat de 4 × (7 - 3) + 2 ?","option_a":"22","option_b":"18","option_c":"14","option_d":"20","option_e":"","option_f":"","bonne_reponse":"A","explication":"On commence par les parenthèses : 7 - 3 = 4, puis 4 × 4 = 16, et enfin 16 + 2 = 18.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]