Quiz — 6545179072918_Enoncé-devoir de controle1.pdf

Question 1 sur 10 20:00

[{"id":100926,"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 = 3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 aux deux côtés : 3x = 15, puis on divise par 3 : x = 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 = 5\", \"b\": \"x = 15\/3\", \"c\": \"x = 5\/3\", \"d\": \"x = 3\"}}","_debug_options_count":4},{"id":100927,"question":"Dans un triangle ABC, si l'angle A mesure 40° et l'angle B mesure 60°, quelle est la mesure de l'angle C ?","option_a":"80°","option_b":"100°","option_c":"120°","option_d":"140°","option_e":"","option_f":"","bonne_reponse":"a","explication":"La somme des angles d'un triangle est 180°. Donc, angle C = 180° - 40° - 60° = 80°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"80°\", \"b\": \"100°\", \"c\": \"120°\", \"d\": \"140°\"}}","_debug_options_count":4},{"id":100928,"question":"Vrai ou Faux ? 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 faux. Donc, l'équation n'a 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":100929,"question":"Quelle est la forme factorisée de x² - 9 ?","option_a":"(x - 3)(x + 3)","option_b":"(x - 9)(x + 1)","option_c":"(x - 3)²","option_d":"(x + 3)²","option_e":"","option_f":"","bonne_reponse":"a","explication":"x² - 9 est une différence de carrés : (x - 3)(x + 3).","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 - 3)(x + 3)\", \"b\": \"(x - 9)(x + 1)\", \"c\": \"(x - 3)²\", \"d\": \"(","_debug_options_count":4},{"id":100930,"question":"Vrai ou Faux ? Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles.","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":100931,"question":"Quelle est la solution de l'inéquation 2x + 1 \u003E 7 ?","option_a":"x \u003E 3","option_b":"x \u003C 3","option_c":"x \u003E 4","option_d":"x \u003C 4","option_e":"","option_f":"","bonne_reponse":"a","explication":"2x + 1 \u003E 7 → 2x \u003E 6 → x \u003E 3.","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 \u003E 3\", \"b\": \"x \u003C 3\", \"c\": \"x \u003E 4\", \"d\": \"x \u003C 4\"}}","_debug_options_count":4},{"id":100932,"question":"Dans un parallélogramme ABCD, si AB = 5 cm et AD = 3 cm, quelle est la longueur de la diagonale AC ? (Arrondir à 0,1 près)","option_a":"5,8 cm","option_b":"6,2 cm","option_c":"4,5 cm","option_d":"7,0 cm","option_e":"","option_f":"","bonne_reponse":"a","explication":"En utilisant le théorème de Pythagore dans le triangle ABD : AC = √(AB² + AD²) = √(25 + 9) ≈ 5,8 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"5,8 cm\", \"b\": \"6,2 cm\", \"c\": \"4,5 cm\", \"d\": \"7,0 cm\"}}","_debug_options_count":4},{"id":100933,"question":"Vrai ou Faux ? L'expression 4x² - 12x + 9 est un carré parfait.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"4x² - 12x + 9 = (2x - 3)², donc c'est un carré parfait.","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":100934,"question":"Quelle est la valeur de x dans l'équation (x - 2)(x + 3) = 0 ?","option_a":"x = 2 ou x = -3","option_b":"x = -2 ou x = 3","option_c":"x = 2 ou x = 3","option_d":"x = -2 ou x = -3","option_e":"","option_f":"","bonne_reponse":"a","explication":"Un produit est nul si l'un des facteurs est nul : x - 2 = 0 → x = 2 ou x + 3 = 0 → x = -3.","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 = 2 ou x = -3\", \"b\": \"x = -2 ou x = 3\", \"c\": \"x = 2 ou x = 3\", ","_debug_options_count":4},{"id":100935,"question":"Vrai ou Faux ? La somme des angles d'un quadrilatère est toujours 360°.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La somme des angles d'un quadrilatère est toujours 360°, quel que soit sa forme.","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}]