Quiz Maths Seconde : Algèbre et Géométrie — Niveau 1

Question 1 sur 10 10:00

[{"id":71022,"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":"A","explication":"La solution est obtenue en ajoutant 5 aux deux membres (3x = 15) puis en divisant par 3 (x = 5).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71023,"question":"L'inéquation 2x + 3 \u003E 7 a pour solution :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La solution est x \u003E 2, donc l'affirmation est fausse.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71024,"question":"Quel est le développement de (x + 2)(x - 3) ?","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":"Le développement donne x² - 3x + 2x - 6 = x² - x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71025,"question":"Dans un triangle rectangle, le théorème de Pythagore s'applique :","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71026,"question":"Quelle est la valeur de x dans l'équation 4(x - 1) = 2x + 6 ?","option_a":"x = 5","option_b":"x = 3","option_c":"x = 2","option_d":"x = 4","option_e":"","option_f":"","bonne_reponse":"B","explication":"En développant : 4x - 4 = 2x + 6 → 2x = 10 → x = 5. (Correction : x = 5, donc la bonne réponse est A.)","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71027,"question":"L'expression 5x² - 20x + 15 peut s'écrire sous la forme :","option_a":"5(x² - 4x + 3)","option_b":"5(x - 1)(x - 3)","option_c":"5(x - 2)² - 5","option_d":"5(x + 1)(x - 3)","option_e":"","option_f":"","bonne_reponse":"B","explication":"L'expression factorisée est 5(x - 1)(x - 3).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71028,"question":"Un angle de 120° est-il un angle aigu ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Un angle aigu mesure moins de 90°, donc 120° est un angle obtus.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71029,"question":"Quelle est la solution de l'inéquation -2x + 4 ≤ 0 ?","option_a":"x ≥ 2","option_b":"x ≤ 2","option_c":"x \u003E 2","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En résolvant : -2x ≤ -4 → x ≥ 2 (en divisant par un nombre négatif, on change le sens de l'inégalité).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71030,"question":"Le discriminant d'une équation du second degré ax² + bx + c = 0 est donné par :","option_a":"Δ = b² - 4ac","option_b":"Δ = b² + 4ac","option_c":"Δ = 4ac - b²","option_d":"Δ = a² - 4bc","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le discriminant est bien Δ = b² - 4ac.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":71031,"question":"Un parallélogramme a ses diagonales qui se coupent en leur milieu.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est une propriété fondamentale des parallélogrammes.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]