Quiz : Fonctions linéaires et équations — 4ème Math

Question 1 sur 10 10:00

[{"id":45106,"question":"Quelle est la forme générale d'une fonction linéaire ?","option_a":"f(x) = ax + b","option_b":"f(x) = ax² + bx + c","option_c":"f(x) = a\/x","option_d":"f(x) = √x","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction linéaire s'écrit sous la forme f(x) = ax, où a est un nombre réel.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45107,"question":"L'équation 3x - 5 = 0 admet pour solution x = 5\/3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En résolvant 3x - 5 = 0, on obtient x = 5\/3. L'affirmation est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45108,"question":"Quelle est la représentation graphique d'une fonction affine ?","option_a":"Une droite","option_b":"Une parabole","option_c":"Un cercle","option_d":"Une hyperbole","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction affine f(x) = ax + b a pour représentation graphique une droite.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45109,"question":"Résoudre l'inéquation 2x + 3 \u003E 7.","option_a":"x \u003E 2","option_b":"x \u003C 2","option_c":"x \u003E -2","option_d":"x \u003C -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 3 \u003E 7 ⇒ 2x \u003E 4 ⇒ x \u003E 2. La solution est donc x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45110,"question":"La fonction f(x) = 4x est une fonction linéaire.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La fonction f(x) = 4x est de la forme f(x) = ax, donc linéaire.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45111,"question":"Quelle est la pente de la droite d'équation y = -3x + 2 ?","option_a":"-3","option_b":"2","option_c":"3","option_d":"-2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Dans l'équation y = ax + b, a représente la pente. Ici, a = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45112,"question":"L'équation x² - 4 = 0 admet deux solutions réelles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² - 4 = 0 ⇒ x² = 4 ⇒ x = 2 ou x = -2. Il y a donc deux solutions réelles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45113,"question":"Quelle est la solution de l'équation 5(x - 2) = 3x + 10 ?","option_a":"x = 10","option_b":"x = 5","option_c":"x = 0","option_d":"x = -5","option_e":"","option_f":"","bonne_reponse":"A","explication":"5(x - 2) = 3x + 10 ⇒ 5x - 10 = 3x + 10 ⇒ 2x = 20 ⇒ x = 10.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45114,"question":"La fonction f(x) = 0x + 7 est une fonction constante.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"La fonction f(x) = 0x + 7 est de la forme f(x) = b, donc constante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45115,"question":"Quelle est l'ordonnée à l'origine de la fonction f(x) = 2x - 5 ?","option_a":"-5","option_b":"2","option_c":"5","option_d":"0","option_e":"","option_f":"","bonne_reponse":"A","explication":"L'ordonnée à l'origine correspond à f(0) = 2(0) - 5 = -5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]