Quiz : Algèbre et fonctions pour la première année secondaire

Question 1 sur 10 10:00

[{"id":42166,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = 10","option_d":"x = 25","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x + 5 = 20, soustrayez 5 des deux côtés : 3x = 15. Divisez ensuite par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42167,"question":"Une fonction linéaire est toujours représentée par une droite.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Une fonction linéaire de la forme f(x) = ax + b est toujours représentée par une droite dans un repère.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42168,"question":"Quelle est la forme générale d'une équation du second degré ?","option_a":"ax² + bx + c = 0","option_b":"ax + b = 0","option_c":"a\/x + b = 0","option_d":"ax³ + bx² + c = 0","option_e":"","option_f":"","bonne_reponse":"A","explication":"La forme générale d'une équation du second degré est ax² + bx + c = 0, où a, b et c sont des constantes.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42169,"question":"Si f(x) = 2x + 3, que vaut f(4) ?","option_a":"5","option_b":"11","option_c":"8","option_d":"10","option_e":"","option_f":"","bonne_reponse":"B","explication":"Pour calculer f(4), remplacez x par 4 dans l'expression : f(4) = 2*4 + 3 = 8 + 3 = 11.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42170,"question":"L'inéquation 2x - 7 \u003C 5 a pour solution x \u003C 6.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Résolvez l'inéquation : 2x - 7 \u003C 5 → 2x \u003C 12 → x \u003C 6. La solution est donc x \u003C 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42171,"question":"Quelle est la pente de la droite d'équation y = -3x + 2 ?","option_a":"3","option_b":"-3","option_c":"2","option_d":"-2","option_e":"","option_f":"","bonne_reponse":"B","explication":"Dans l'équation y = mx + p, m représente la pente. Ici, m = -3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42172,"question":"Résolvez l'inéquation : 5 - 2x ≥ 1.","option_a":"x ≤ 2","option_b":"x ≥ 2","option_c":"x ≤ -2","option_d":"x ≥ -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Résolvez : 5 - 2x ≥ 1 → -2x ≥ -4 → x ≤ 2 (en divisant par un nombre négatif, le sens de l'inégalité change).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42173,"question":"La fonction f(x) = x² est-elle une fonction affine ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Une fonction affine est de la forme f(x) = ax + b. La fonction f(x) = x² est une fonction polynôme du second degré.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42174,"question":"Quelle est la solution de l'équation 4(x - 2) = 12 ?","option_a":"x = 5","option_b":"x = 4","option_c":"x = 3","option_d":"x = 6","option_e":"","option_f":"","bonne_reponse":"B","explication":"Développez : 4x - 8 = 12 → 4x = 20 → x = 5. La solution est x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":42175,"question":"Si f(x) = 3x - 1, que vaut f(-1) ?","option_a":"-4","option_b":"-2","option_c":"2","option_d":"4","option_e":"","option_f":"","bonne_reponse":"A","explication":"Remplacez x par -1 : f(-1) = 3*(-1) - 1 = -3 - 1 = -4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]