Quiz : Maîtrisez l'algèbre et la géométrie en 4ème année secondaire

Question 1 sur 10 10:00

[{"id":71142,"question":"Quelle est la solution de l'équation 3x - 5 = 2x + 7 ?","option_a":"x = 12","option_b":"x = -2","option_c":"x = 2","option_d":"x = -12","option_e":"","option_f":"","bonne_reponse":"A","explication":"En isolant x, on obtient 3x - 2x = 7 + 5, soit x = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71143,"question":"La fonction f(x) = 2x² - 3x + 1 est-elle une fonction affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction affine est de la forme f(x) = ax + b. Ici, le terme x² indique qu'il s'agit d'une fonction polynôme du second degré.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71144,"question":"Quel est le résultat de (√5 + √2)² ?","option_a":"7 + 2√10","option_b":"7 + √10","option_c":"5 + 2 + 2√10","option_d":"10","option_e":"","option_f":"","bonne_reponse":"C","explication":"En développant, on obtient 5 + 2 + 2√10 = 7 + 2√10.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71145,"question":"Le théorème de Pythagore s'applique-t-il 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 énonce que dans un triangle rectangle, le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71146,"question":"Résolvez l'inéquation 4x - 7 ≤ 3x + 5.","option_a":"x ≤ 12","option_b":"x ≥ -2","option_c":"x ≤ -2","option_d":"x ≥ 12","option_e":"","option_f":"","bonne_reponse":"A","explication":"En simplifiant, on obtient x ≤ 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71147,"question":"La droite d'équation y = -3x + 2 a-t-elle un coefficient directeur positif ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le coefficient directeur est -3, qui est négatif.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71148,"question":"Calculez l'aire d'un triangle de base 8 cm et de hauteur 5 cm.","option_a":"20 cm²","option_b":"40 cm²","option_c":"13 cm²","option_d":"16 cm²","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'aire d'un triangle est (base × hauteur) \/ 2 = (8 × 5) \/ 2 = 20 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71149,"question":"La fonction f(x) = 1\/x est-elle définie pour x = 0 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction f(x) = 1\/x n'est pas définie pour x = 0, car la division par zéro est impossible.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71150,"question":"Quel est le développement de (x + 3)(x - 2) ?","option_a":"x² + x - 6","option_b":"x² - 6x + 6","option_c":"x² + 5x - 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":71151,"question":"Le cercle de centre O et de rayon 5 cm a-t-il une circonférence de 10π cm ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La circonférence d'un cercle est 2πr. Ici, 2π × 5 = 10π cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]