Quiz d'algèbre : Équations, inéquations et calcul littéral

Question 1 sur 10 10:00

[{"id":13553,"question":"Quelle est la solution de l'équation 3x + 5 = 20 ?","option_a":"x = 5","option_b":"x = 15","option_c":"x = -5","option_d":"x = 10","option_e":"","option_f":"","bonne_reponse":"A","explication":"Soustraire 5 des deux côtés : 3x = 15, puis diviser par 3 : x = 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13554,"question":"L'expression 2(x + 3) est égale à 2x + 6.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"En développant, on obtient bien 2x + 6 grâce à la distributivité.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13555,"question":"Quelle est la solution de l'inéquation 2x - 4 \u003E 6 ?","option_a":"x \u003E 5","option_b":"x \u003C 5","option_c":"x \u003E 10","option_d":"x \u003C 10","option_e":"","option_f":"","bonne_reponse":"A","explication":"Ajouter 4 des deux côtés : 2x \u003E 10, puis diviser par 2 : x \u003E 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13556,"question":"L'expression x² + 2x + 1 est un carré parfait.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Elle s'écrit (x + 1)², donc c'est bien un carré parfait.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13557,"question":"Quelle est la valeur de x dans l'équation 4(x - 2) = 8 ?","option_a":"x = 4","option_b":"x = 0","option_c":"x = 2","option_d":"x = -2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Diviser par 4 : x - 2 = 2, puis ajouter 2 : x = 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13558,"question":"L'inégalité 3x + 1 ≤ 10 a pour solution x ≤ 3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Soustraire 1 : 3x ≤ 9, puis diviser par 3 : x ≤ 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13559,"question":"Quelle est la solution de l'équation 5x - 7 = 3x + 5 ?","option_a":"x = 6","option_b":"x = 1","option_c":"x = 0","option_d":"x = 2","option_e":"","option_f":"","bonne_reponse":"A","explication":"Soustraire 3x : 2x - 7 = 5, puis ajouter 7 : 2x = 12, enfin diviser par 2 : x = 6.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13560,"question":"L'expression 3x + 3y peut s'écrire 3(x + y).","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Factoriser par 3 donne bien 3(x + y).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13561,"question":"Quelle est la solution de l'inéquation x\/2 + 3 \u003E 5 ?","option_a":"x \u003E 4","option_b":"x \u003C 4","option_c":"x \u003E 1","option_d":"x \u003C 1","option_e":"","option_f":"","bonne_reponse":"A","explication":"Soustraire 3 : x\/2 \u003E 2, puis multiplier par 2 : x \u003E 4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":13562,"question":"L'équation 2x + 4 = 2x + 5 n'a pas de solution.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Soustraire 2x des deux côtés donne 4 = 5, ce qui est impossible.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]