Maths Seconde : Testez vos connaissances en algèbre et géométrie

Question 1 sur 10 10:00

[{"id":27648,"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 = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 2x = 7 + 5 → x = 12. Une erreur classique est d’oublier de regrouper les termes en x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27649,"question":"La fonction f(x) = 2x + 3 est-elle affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine s’écrit f(x) = ax + b, donc f(x) = 2x + 3 est bien affine.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27650,"question":"Quel est le coefficient directeur de la droite passant par les points A(1; 2) et B(3; 6) ?","option_a":"2","option_b":"4","option_c":"1","option_d":"3","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le coefficient directeur m = (6-2)\/(3-1) = 4\/2 = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27651,"question":"L’inéquation 2x - 1 \u003E 5 a pour solution x \u003E 3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"2x \u003E 6 → x \u003E 3. La solution est correcte, mais attention aux erreurs de signe.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27652,"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},{"id":27653,"question":"La droite d’équation y = -x + 4 passe-t-elle par le point C(2; 2) ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En remplaçant x par 2 dans l’équation, on obtient y = -2 + 4 = 2. Le point C appartient bien à la droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27654,"question":"Quel est le résultat de l’expression (3x² - 2x + 1) - (x² + 4x - 3) ?","option_a":"2x² - 6x + 4","option_b":"4x² + 2x - 2","option_c":"2x² - 2x + 4","option_d":"3x² - 6x + 4","option_e":"","option_f":"","bonne_reponse":"A","explication":"On soustrait terme à terme : 3x² - x² = 2x², -2x - 4x = -6x, 1 - (-3) = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27655,"question":"La fonction f(x) = x² est-elle croissante sur ℝ ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"La fonction x² est décroissante sur ]-∞; 0] et croissante sur [0; +∞[.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27656,"question":"Quelle est l’équation de la médiatrice du segment [AB] avec A(0; 0) et B(4; 4) ?","option_a":"y = -x + 4","option_b":"y = x","option_c":"y = 2x","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"B","explication":"Le milieu de [AB] est (2; 2) et la pente de AB est 1, donc la médiatrice a une pente de -1. Son équation est y = -x + 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":27657,"question":"Si f(x) = 3x - 1, alors f(2) = 5.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(2) = 3*2 - 1 = 5. Le calcul est correct.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]