Quiz : Maîtrisez les fonctions et équations en 1ère année secondaire

Question 1 sur 10 10:00

[{"id":46921,"question":"Quelle est la représentation graphique d'une fonction linéaire ?","option_a":"Une droite passant par l'origine","option_b":"Une parabole","option_c":"Un cercle","option_d":"Une droite horizontale","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction linéaire de la forme f(x) = ax a pour représentation graphique une droite passant par l'origine du repère.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46922,"question":"L'équation 3x - 5 = 7 a pour solution :","option_a":"x = 4","option_b":"x = 12","option_c":"x = -4","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"En isolant x, on obtient 3x = 12, puis x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46923,"question":"Vrai ou faux ? Une inéquation du type 2x + 3 \u003E 5 a pour solution x \u003E 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En résolvant l'inéquation, on obtient 2x \u003E 2, soit x \u003E 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46924,"question":"Quelle est la forme générale d'une fonction affine ?","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 affine s'écrit sous la forme f(x) = ax + b, où a et b sont des constantes.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46925,"question":"La solution de l'inéquation -2x + 4 ≤ 0 est :","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":"En isolant x, on obtient -2x ≤ -4, puis x ≥ 2 (attention au changement de sens de l'inégalité).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46926,"question":"Vrai ou faux ? Le nombre √2 est un nombre rationnel.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"√2 ne peut pas s'écrire sous la forme d'une fraction d'entiers, donc c'est un nombre irrationnel.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46927,"question":"Quelle est la solution de l'équation 4(x - 3) = 2x + 6 ?","option_a":"x = 6","option_b":"x = 9","option_c":"x = 0","option_d":"x = 3","option_e":"","option_f":"","bonne_reponse":"B","explication":"En développant et simplifiant, on obtient 4x - 12 = 2x + 6, puis 2x = 18, soit x = 9.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46928,"question":"Vrai ou faux ? La fonction f(x) = 5 est une fonction constante.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction constante est de la forme f(x) = c, où c est une constante. Ici, f(x) = 5 est bien une fonction constante.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46929,"question":"Quelle est la solution de l'inéquation 3x - 7 \u003C 2x + 1 ?","option_a":"x \u003C 8","option_b":"x \u003E 8","option_c":"x \u003C -8","option_d":"x \u003E -8","option_e":"","option_f":"","bonne_reponse":"A","explication":"En simplifiant, on obtient x \u003C 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":46930,"question":"Quelle propriété des nombres réels est illustrée par l'égalité √(a²) = |a| ?","option_a":"La commutativité","option_b":"La valeur absolue","option_c":"La distributivité","option_d":"L'associativité","option_e":"","option_f":"","bonne_reponse":"B","explication":"Cette égalité illustre la propriété de la valeur absolue, qui permet de garantir que √(a²) est toujours positif.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]