Quiz : Algèbre et Géométrie — 3ème Année Collège

Question 1 sur 10 10:00

[{"id":45486,"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":"B","explication":"Pour résoudre 3x - 5 = 10, on ajoute 5 des deux côtés : 3x = 15, puis on divise par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45487,"question":"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 s'applique exclusivement aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45488,"question":"Quelle est l'expression développée de (2x + 3)(x - 4) ?","option_a":"2x² - 5x - 12","option_b":"2x² - 8x + 3x - 12","option_c":"2x² - 5x + 12","option_d":"x² - 5x - 12","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant (2x + 3)(x - 4), on obtient 2x² - 8x + 3x - 12 = 2x² - 5x - 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45489,"question":"Si deux angles d'un triangle mesurent 40° et 70°, quelle est la mesure du troisième angle ?","option_a":"70°","option_b":"60°","option_c":"50°","option_d":"80°","option_e":"","option_f":"","bonne_reponse":"B","explication":"La somme des angles d'un triangle est 180°. Le troisième angle mesure 180° - 40° - 70° = 70°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45490,"question":"La fonction f(x) = 2x + 1 est-elle une fonction affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine s'écrit sous la forme f(x) = ax + b. Ici, f(x) = 2x + 1 est bien une fonction affine.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45491,"question":"Quelle est la valeur de x dans l'équation 5(x - 2) = 3x + 10 ?","option_a":"x = 10","option_b":"x = 5","option_c":"x = 0","option_d":"x = 20","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant, on obtient 5x - 10 = 3x + 10. On soustrait 3x : 2x - 10 = 10, puis on ajoute 10 : 2x = 20. Enfin, x = 10.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45492,"question":"Dans un triangle isocèle, les angles à la base sont toujours égaux.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Par définition, un triangle isocèle a deux côtés égaux et les angles opposés à ces côtés sont égaux.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45493,"question":"Quelle est la solution de l'inéquation 2x + 3 \u003E 7 ?","option_a":"x \u003E 2","option_b":"x \u003E 5","option_c":"x \u003C 2","option_d":"x \u003C 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"On soustrait 3 : 2x \u003E 4, puis on divise par 2 : x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45494,"question":"Le théorème de Thalès s'applique uniquement aux triangles semblables.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le théorème de Thalès s'applique à deux triangles ayant un angle commun et des côtés parallèles, mais pas nécessairement semblables.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45495,"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 et se factorise en (x - 3)(x + 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]