Quiz Mathématiques : 4ème année secondaire — Niveau Expert

Question 1 sur 10 10:00

[{"id":56681,"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 = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 2x des deux côtés et en ajoutant 5, on obtient x = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56682,"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 est une propriété exclusive des triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56683,"question":"Quelle est l'expression développée de (x + 3)(x - 2) ?","option_a":"x² + x - 6","option_b":"x² - 5x - 6","option_c":"x² + x + 6","option_d":"x² - x - 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant, on obtient x² - 2x + 3x - 6 = x² + x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56684,"question":"La fonction f(x) = 2x + 1 est 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, ce qui est le cas ici.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56685,"question":"Quel est le coefficient directeur de la droite d'équation y = -3x + 4 ?","option_a":"3","option_b":"-3","option_c":"4","option_d":"-4","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur est le nombre devant x, soit -3 dans cette équation.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56686,"question":"La somme des angles d'un triangle est toujours égale à 180 degrés.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété fondamentale de la géométrie plane.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56687,"question":"Résolvez l'inéquation 2x - 7 \u003C 5.","option_a":"x \u003C 6","option_b":"x \u003E 6","option_c":"x \u003C 1","option_d":"x \u003E 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"En ajoutant 7 et en divisant par 2, on obtient x \u003C 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56688,"question":"La médiane d'un triangle est une droite qui passe par un sommet et le milieu du côté opposé.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est la définition exacte d'une médiane dans un triangle.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56689,"question":"Quelle est la forme canonique de x² - 6x + 5 ?","option_a":"(x - 3)² - 4","option_b":"(x + 3)² - 4","option_c":"(x - 3)² + 4","option_d":"(x + 3)² + 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"En complétant le carré, on obtient (x - 3)² - 9 + 5 = (x - 3)² - 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":56690,"question":"La probabilité d'un événement impossible est égale à 0.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Par définition, la probabilité d'un événement impossible est 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]