Maths Seconde : Évaluez vos connaissances en algèbre et géométrie

Question 1 sur 10 10:00

[{"id":19138,"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 = 10\/3","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x - 5 = 10 ⇒ 3x = 15 ⇒ x = 5. La solution est donc x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":19139,"question":"La fonction f(x) = 2x + 3 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, a = 2 et b = 3, donc c'est bien une fonction affine.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":19140,"question":"Quel est le coefficient directeur de la droite d'équation y = -4x + 7 ?","option_a":"7","option_b":"-4","option_c":"4","option_d":"1","option_e":"","option_f":"","bonne_reponse":"B","explication":"Dans l'équation y = ax + b, a représente le coefficient directeur. Ici, a = -4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":19141,"question":"Le triangle ABC est rectangle en A avec AB = 3 cm et AC = 4 cm. Quelle est la longueur de BC ?","option_a":"5 cm","option_b":"7 cm","option_c":"√7 cm","option_d":"√12 cm","option_e":"","option_f":"","bonne_reponse":"A","explication":"D'après le théorème de Pythagore : BC² = AB² + AC² = 9 + 16 = 25 ⇒ BC = 5 cm.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":19142,"question":"L'inéquation 2x + 1 \u003E 5 a pour solution x \u003E 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"2x + 1 \u003E 5 ⇒ 2x \u003E 4 ⇒ x \u003E 2. La solution est donc x \u003E 2, donc l'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":19143,"question":"Quelle est la forme développée de (x + 2)(x - 3) ?","option_a":"x² - x - 6","option_b":"x² + x - 6","option_c":"x² - 6x + 6","option_d":"x² - x + 6","option_e":"","option_f":"","bonne_reponse":"A","explication":"(x + 2)(x - 3) = x² - 3x + 2x - 6 = x² - x - 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":19144,"question":"Si f(x) = 3x² - 2x + 1, que vaut f(-1) ?","option_a":"6","option_b":"-4","option_c":"0","option_d":"2","option_e":"","option_f":"","bonne_reponse":"B","explication":"f(-1) = 3(-1)² - 2(-1) + 1 = 3 + 2 + 1 = 6. La réponse correcte est donc -4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":19145,"question":"Le point A(2 ; 5) appartient-il à la droite d'équation y = 2x + 1 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Pour x = 2, y = 2(2) + 1 = 5. Le point A(2 ; 5) appartient donc à la droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":19146,"question":"Quelle est la solution de l'inéquation -x + 4 ≤ 2 ?","option_a":"x ≥ 2","option_b":"x ≤ 2","option_c":"x \u003E 2","option_d":"x \u003C 2","option_e":"","option_f":"","bonne_reponse":"B","explication":"-x + 4 ≤ 2 ⇒ -x ≤ -2 ⇒ x ≥ 2. La solution est donc x ≥ 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":19147,"question":"La fonction f(x) = x² est-elle une fonction linéaire ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction linéaire s'écrit sous la forme f(x) = ax. Ici, f(x) = x² n'est pas de cette forme, donc ce n'est pas une fonction linéaire.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]