Quiz : Maîtrisez les équations en 7ème année de base !

Question 1 sur 10 10:00

[{"id":46206,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = 10","option_d":"x = 8","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x + 5 = 20, soustrayez 5 des deux côtés : 3x = 15. Puis divisez par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46207,"question":"L'équation 2x - 7 = 11 a pour solution x = 9.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En remplaçant x par 9 : 2*9 - 7 = 18 - 7 = 11. L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46208,"question":"Quelle équation correspond au problème suivant : 'Le double d'un nombre augmenté de 4 est égal à 18' ?","option_a":"2x + 4 = 18","option_b":"2x - 4 = 18","option_c":"x + 4 = 18","option_d":"2(x + 4) = 18","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le double d'un nombre (2x) augmenté de 4 donne l'équation 2x + 4 = 18.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46209,"question":"La solution de l'équation 5x - 3 = 2x + 9 est x = 4.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"En remplaçant x par 4 : 5*4 - 3 = 17 et 2*4 + 9 = 17. L'équation est vérifiée, donc l'affirmation est fausse (car x = 4 est bien la solution).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46210,"question":"Quelle est la solution de l'équation 7x = 42 ?","option_a":"x = 6","option_b":"x = 5","option_c":"x = 7","option_d":"x = 8","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 7x = 42, divisez les deux côtés par 7 : x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46211,"question":"L'équation x + 12 = 5 a une solution positive.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"En résolvant x + 12 = 5, on obtient x = -7, qui est négatif. L'affirmation est donc fausse.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46212,"question":"Quelle équation représente 'Un nombre moins 8 est égal à 15' ?","option_a":"x - 8 = 15","option_b":"x + 8 = 15","option_c":"8 - x = 15","option_d":"x = 15 - 8","option_e":"","option_f":"","bonne_reponse":"A","explication":"Un nombre moins 8 se traduit par x - 8, donc l'équation est x - 8 = 15.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46213,"question":"La solution de l'équation 4x + 1 = 2x + 9 est x = 4.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En résolvant 4x + 1 = 2x + 9, on obtient 2x = 8, donc x = 4. L'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46214,"question":"Quelle est la solution de l'équation 3(x - 2) = 15 ?","option_a":"x = 7","option_b":"x = 5","option_c":"x = 3","option_d":"x = 9","option_e":"","option_f":"","bonne_reponse":"A","explication":"Développez d'abord : 3x - 6 = 15. Ajoutez 6 : 3x = 21. Divisez par 3 : x = 7.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46215,"question":"L'équation 2x + 3 = 2x + 5 n'a pas de solution.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En simplifiant, on obtient 3 = 5, ce qui est impossible. L'équation n'a donc pas de solution.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]