Quiz — correction exercie 1.pdf

Question 1 sur 10 20:00

[{"id":23694,"question":"Quelle est la solution de l'équation 3x + 5 = 2x - 7 ?","option_a":"x = -12","option_b":"x = -2","option_c":"x = 12","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Soustraire 2x des deux côtés : x + 5 = -7. Puis soustraire 5 : x = -12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x = -12\", \"b\": \"x = -2\", \"c\": \"x = 12\", \"d\": \"x = 2\"}}","_debug_options_count":4},{"id":23695,"question":"L'inégalité 2x - 3 \u003E 5 est équivalente à x \u003E 4.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Ajouter 3 : 2x \u003E 8. Diviser par 2 : x \u003E 4. L'inégalité est correcte.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":23696,"question":"Quelle est la solution de l'inéquation -4x + 1 ≤ 9 ?","option_a":"x ≥ -2","option_b":"x ≤ -2","option_c":"x ≥ 2","option_d":"x ≤ 2","option_e":"","option_f":"","bonne_reponse":"b","explication":"Soustraire 1 : -4x ≤ 8. Diviser par -4 (inversion du sens) : x ≥ -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"x ≥ -2\", \"b\": \"x ≤ -2\", \"c\": \"x ≥ 2\", \"d\": \"x ≤ 2\"}}","_debug_options_count":4},{"id":23697,"question":"Si x = 3 est solution de l'équation 2x + a = 11, quelle est la valeur de a ?","option_a":"a = 5","option_b":"a = 17","option_c":"a = -5","option_d":"a = 5\/2","option_e":"","option_f":"","bonne_reponse":"a","explication":"Remplacer x par 3 : 6 + a = 11. Donc a = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"a = 5\", \"b\": \"a = 17\", \"c\": \"a = -5\", \"d\": \"a = 5\/2\"}}","_debug_options_count":4},{"id":23698,"question":"L'équation 0x = 5 a une solution.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"0x = 0 pour tout x. L'équation 0x = 5 n'a donc aucune solution.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":23699,"question":"Quelle est la solution de l'équation 5(x - 2) = 3x + 10 ?","option_a":"x = 10","option_b":"x = 5","option_c":"x = 0","option_d":"x = -10","option_e":"","option_f":"","bonne_reponse":"a","explication":"Développer : 5x - 10 = 3x + 10. Soustraire 3x : 2x - 10 = 10. Ajouter 10 : 2x = 20. Diviser par 2 : x = 10.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x = 10\", \"b\": \"x = 5\", \"c\": \"x = 0\", \"d\": \"x = -10\"}}","_debug_options_count":4},{"id":23700,"question":"Si x est un nombre négatif, alors -3x est toujours positif.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Multiplier un nombre négatif par -3 donne un résultat positif (ex: x = -2 → -3x = 6).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":23701,"question":"Quelle est la solution de l'inéquation 7 - 2x \u003E 3x + 1 ?","option_a":"x \u003C 6\/5","option_b":"x \u003E 6\/5","option_c":"x \u003C -6\/5","option_d":"x \u003E -6\/5","option_e":"","option_f":"","bonne_reponse":"a","explication":"Ajouter 2x : 7 \u003E 5x + 1. Soustraire 1 : 6 \u003E 5x. Diviser par 5 : x \u003C 6\/5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x \u003C 6\/5\", \"b\": \"x \u003E 6\/5\", \"c\": \"x \u003C -6\/5\", \"d\": \"x \u003E -6\/5\"}}","_debug_options_count":4},{"id":23702,"question":"L'équation 4x = 4x + 1 n'a pas de solution.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Soustraire 4x : 0 = 1, ce qui est impossible. L'équation n'a donc pas de solution.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":23703,"question":"Quelle est la valeur de x dans l'équation (x\/2) + 3 = 7 ?","option_a":"x = 8","option_b":"x = 4","option_c":"x = 10","option_d":"x = 20","option_e":"","option_f":"","bonne_reponse":"a","explication":"Soustraire 3 : x\/2 = 4. Multiplier par 2 : x = 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"x = 8\", \"b\": \"x = 4\", \"c\": \"x = 10\", \"d\": \"x = 20\"}}","_debug_options_count":4}]