Quiz : Maîtrisez l'algèbre linéaire en 7ème année !

Question 1 sur 10 10:00

[{"id":45216,"question":"Quelle est la solution de l'équation 2x + 3 = 7 ?","option_a":"x = 1","option_b":"x = 2","option_c":"x = 3","option_d":"x = 4","option_e":"","option_f":"","bonne_reponse":"B","explication":"En soustrayant 3 des deux côtés, on obtient 2x = 4. En divisant par 2, on trouve x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45217,"question":"Un système de deux équations linéaires a toujours une solution unique.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Un système peut n'avoir aucune solution, une solution unique ou une infinité de solutions selon les coefficients.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45218,"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":45219,"question":"Si f(x) = 3x + 2, quelle est l'image de x = 1 ?","option_a":"5","option_b":"6","option_c":"7","option_d":"8","option_e":"","option_f":"","bonne_reponse":"A","explication":"En remplaçant x par 1, on obtient f(1) = 3(1) + 2 = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45220,"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":"Une fonction linéaire s'écrit sous la forme f(x) = ax, sans terme constant.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45221,"question":"Quelle est la solution du système { x + y = 5 ; x - y = 1 } ?","option_a":"x = 2, y = 3","option_b":"x = 3, y = 2","option_c":"x = 1, y = 4","option_d":"x = 4, y = 1","option_e":"","option_f":"","bonne_reponse":"B","explication":"En additionnant les deux équations, on obtient 2x = 6, donc x = 3. En remplaçant dans la première équation, on trouve y = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45222,"question":"Quelle est la pente de la droite d'équation y = 2x + 1 ?","option_a":"1","option_b":"2","option_c":"3","option_d":"4","option_e":"","option_f":"","bonne_reponse":"B","explication":"Dans l'équation y = ax + b, a représente la pente. Ici, a = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45223,"question":"Un système de deux équations linéaires peut avoir une infinité de solutions.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"C'est possible si les deux équations sont équivalentes (mêmes solutions).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45224,"question":"Quelle est la valeur de x dans l'équation 5x - 10 = 0 ?","option_a":"x = 1","option_b":"x = 2","option_c":"x = 3","option_d":"x = 4","option_e":"","option_f":"","bonne_reponse":"B","explication":"En ajoutant 10 des deux côtés, on obtient 5x = 10. En divisant par 5, on trouve x = 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":45225,"question":"La fonction f(x) = x² est 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. Ici, f(x) = x² est une fonction polynôme de degré 2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]