Quiz : Maîtrisez les bases de l'algèbre en 1ère année secondaire !

Question 1 sur 10 10:00

[{"id":31718,"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":"B","explication":"3x - 5 = 10 → 3x = 15 → x = 5. La solution est x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":31719,"question":"L'inéquation 2x + 3 \u003E 7 a pour solution x \u003E 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"2x + 3 \u003E 7 → 2x \u003E 4 → x \u003E 2. L'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":31720,"question":"Développez l'expression (x + 4)(x - 2).","option_a":"x² + 2x - 8","option_b":"x² - 2x + 8","option_c":"x² + 6x - 8","option_d":"x² - 8","option_e":"","option_f":"","bonne_reponse":"A","explication":"(x + 4)(x - 2) = x² - 2x + 4x - 8 = x² + 2x - 8.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":31721,"question":"Quelle identité remarquable permet de factoriser x² - 16 ?","option_a":"(x + 4)²","option_b":"(x - 4)²","option_c":"(x - 4)(x + 4)","option_d":"x(x - 16)","option_e":"","option_f":"","bonne_reponse":"C","explication":"x² - 16 = (x)² - (4)² = (x - 4)(x + 4) (différence de carrés).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":31722,"question":"La factorisation de 3x² + 6x est 3x(x + 2).","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"3x² + 6x = 3x(x + 2). L'affirmation est vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":31723,"question":"Résolvez l'équation x² - 5x + 6 = 0.","option_a":"x = 2 ou x = 3","option_b":"x = -2 ou x = -3","option_c":"x = 1 ou x = 6","option_d":"x = 0 ou x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² - 5x + 6 = (x - 2)(x - 3) = 0 → x = 2 ou x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":31724,"question":"Quelle est la forme factorisée de x² + 6x + 9 ?","option_a":"(x + 3)²","option_b":"(x - 3)²","option_c":"x(x + 6) + 9","option_d":"(x + 9)(x - 1)","option_e":"","option_f":"","bonne_reponse":"A","explication":"x² + 6x + 9 = (x + 3)² (carré d'une somme).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":31725,"question":"L'inéquation -2x + 1 ≤ 5 a pour solution x ≥ -2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"-2x + 1 ≤ 5 → -2x ≤ 4 → x ≥ -2 (inversion du sens de l'inégalité car division par un nombre négatif). L'affirmation est fausse.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":31726,"question":"Développez l'expression (2x - 1)².","option_a":"4x² - 4x + 1","option_b":"4x² - 2x + 1","option_c":"2x² - 4x + 1","option_d":"4x² + 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"(2x - 1)² = 4x² - 4x + 1 (carré d'une différence).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":31727,"question":"Quelle est la solution de l'équation 4(x - 1) = 2x + 6 ?","option_a":"x = 5","option_b":"x = 3","option_c":"x = -1","option_d":"x = 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"4(x - 1) = 2x + 6 → 4x - 4 = 2x + 6 → 2x = 10 → x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]