Quiz : Maîtrisez les équations et inéquations en 7ème année

Question 1 sur 10 10:00

[{"id":42626,"question":"Quelle est la solution de l'équation 3x - 5 = 10 ?","option_a":"x = 5","option_b":"x = 15\/3","option_c":"x = 5\/3","option_d":"x = 15","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 des deux côtés : 3x = 15. Ensuite, on divise par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42627,"question":"L'inéquation 2x + 3 \u003C 7 a pour solution x \u003C 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"En soustrayant 3 des deux côtés : 2x \u003C 4. En divisant par 2 (nombre positif), on obtient x \u003C 2. La solution est donc correcte.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42628,"question":"Quelle est la valeur de x dans l'équation -4x + 7 = -1 ?","option_a":"x = 2","option_b":"x = -2","option_c":"x = 1\/4","option_d":"x = -1\/4","option_e":"","option_f":"","bonne_reponse":"B","explication":"On soustrait 7 des deux côtés : -4x = -8. En divisant par -4, on obtient x = 2. Mais attention, -4x = -8 équivaut à x = 2, mais l'équation initiale est -4x + 7 = -1, donc -4x = -8 → x = 2. La bonne réponse est x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42629,"question":"L'expression 5x - 3(2x - 4) se réduit à :","option_a":"-x + 12","option_b":"7x - 12","option_c":"-x - 12","option_d":"7x + 12","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant : 5x - 6x + 12 = -x + 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42630,"question":"L'inéquation 3x - 2 \u003E 4x + 1 a pour solution x \u003C -3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 3x des deux côtés : -2 \u003E x + 1. En soustrayant 1 : -3 \u003E x, soit x \u003C -3. La solution est donc correcte.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42631,"question":"Quelle est la solution de l'équation 2(x + 3) = 14 ?","option_a":"x = 4","option_b":"x = 7","option_c":"x = -1","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant : 2x + 6 = 14. En soustrayant 6 : 2x = 8. En divisant par 2 : x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42632,"question":"L'inégalité 5 - 2x ≤ 11 est équivalente à x ≥ -3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"En soustrayant 5 : -2x ≤ 6. En divisant par -2 (nombre négatif, on inverse le sens) : x ≥ -3. La solution est donc correcte.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42633,"question":"Quelle est la valeur de x dans l'équation 7x - 3 = 2x + 12 ?","option_a":"x = 3","option_b":"x = 5","option_c":"x = 15\/5","option_d":"x = 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 2x : 5x - 3 = 12. En ajoutant 3 : 5x = 15. En divisant par 5 : x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42634,"question":"L'expression 4x - 2(3x - 5) se réduit à :","option_a":"-2x + 10","option_b":"10x - 10","option_c":"-2x - 10","option_d":"10x + 10","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant : 4x - 6x + 10 = -2x + 10.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42635,"question":"L'inéquation -3x + 8 ≥ 2 a pour solution x ≤ 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"En soustrayant 8 : -3x ≥ -6. En divisant par -3 (nombre négatif, on inverse le sens) : x ≤ 2. La solution est donc correcte.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]