Quiz Maths : Équations, Fonctions et Inéquations — Première Année

Question 1 sur 10 10:00

[{"id":18898,"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 = 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":18899,"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 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":18900,"question":"Quelle est la représentation graphique d'une fonction linéaire ?","option_a":"Une droite passant par l'origine","option_b":"Une parabole","option_c":"Une droite parallèle à l'axe des abscisses","option_d":"Un cercle","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction linéaire f(x) = ax a pour représentation graphique une droite passant par l'origine (0,0).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18901,"question":"Quelle inéquation a pour solution x \u003E 2 ?","option_a":"2x \u003E 4","option_b":"x + 1 \u003E 3","option_c":"x - 2 \u003E 0","option_d":"3x \u003C 6","option_e":"","option_f":"","bonne_reponse":"C","explication":"x - 2 \u003E 0 → x \u003E 2. C'est la seule inéquation dont la solution est x \u003E 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18902,"question":"La fonction f(x) = -x + 1 est-elle décroissante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Le coefficient directeur est -1 (négatif), donc la fonction est décroissante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18903,"question":"Quelle est la solution de l'équation 2(x - 3) = 4 ?","option_a":"x = 1","option_b":"x = 5","option_c":"x = 2","option_d":"x = 3","option_e":"","option_f":"","bonne_reponse":"B","explication":"2(x - 3) = 4 → x - 3 = 2 → x = 5. La solution est x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18904,"question":"Une fonction affine peut-elle être représentée par une droite non parallèle à l'axe des ordonnées ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Toutes les fonctions affines ont une représentation graphique en forme de droite, sauf si elle est constante (parallèle à l'axe des abscisses).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18905,"question":"Quelle est la solution de l'inéquation -2x + 6 ≤ 0 ?","option_a":"x ≤ 3","option_b":"x ≥ 3","option_c":"x ≤ -3","option_d":"x ≥ -3","option_e":"","option_f":"","bonne_reponse":"B","explication":"-2x + 6 ≤ 0 → -2x ≤ -6 → x ≥ 3 (en divisant par un nombre négatif, le sens de l'inégalité change).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18906,"question":"La fonction f(x) = 0x + 4 est-elle une fonction constante ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(x) = 0x + 4 = 4. C'est une fonction constante car elle ne dépend pas de x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":18907,"question":"Quelle équation a pour solution x = -2 ?","option_a":"x + 2 = 0","option_b":"2x = -4","option_c":"x - 2 = 0","option_d":"x\/2 = -1","option_e":"","option_f":"","bonne_reponse":"A","explication":"x + 2 = 0 → x = -2. C'est la seule équation dont la solution est x = -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]