[{"question":"Kedy m\u00e1 v\u00fdraz (m-2)\/(3m+6m2<\/sup>) zmysel?","answers":["m \u2260 0, m \u2260 (-1\/2)","m \u2260 0, m = -1\/2","m \u2260 0, m = 2","m = 0, m\u2260 2"],"correct":"m \u2260 0, m \u2260 (-1\/2)","order":"1"},{"question":"Vyjadrite zo vzorca \u03c1 = m\/V nezn\u00e1mu V:","answers":["V = m + \u03c1","V = m\/\u03c1","V = m.\u03c1","V = m - \u03c1"],"correct":"V = m\/\u03c1","order":"2"},{"question":"Vyjadrite zo vzorca V = 4\/3 \u03c0r3<\/sup> nezn\u00e1mu r:","answers":["r = \u221a[(3V)\/(4\u03c0)]","r = 3V\/4\u03c0","r = 3<\/sup>\u221a(3V\/4\u03c0)","r = 4\/3\u03c0 + V"],"correct":"r = 3<\/sup>\u221a(3V\/4\u03c0)","order":"3"},{"question":"Vyn\u00e1sobte a upravte v\u00fdraz: (a + b + c)(a - b)(a + c)","answers":["a3<\/sup> + 2a2<\/sup>c - ab2<\/sup> - abc + ac2<\/sup> - b2<\/sup>c - bc2<\/sup>","a3<\/sup> - 2a2<\/sup>c - ab2<\/sup> - abc + ac2<\/sup> - b2<\/sup>c - bc2<\/sup>","a3<\/sup> + 2a2<\/sup>c + ab2<\/sup> - abc - ac2<\/sup> - b2<\/sup>c + bc2<\/sup>","a3<\/sup> - 2a2<\/sup>c - ab2<\/sup> - abc + ac2<\/sup> - b2<\/sup>c + c3<\/sup>"],"correct":"a3<\/sup> + 2a2<\/sup>c - ab2<\/sup> - abc + ac2<\/sup> - b2<\/sup>c - bc2<\/sup>","order":"4"},{"question":"Upravte v\u00fdraz 1,2m(m + n) - 2,3n(m-nm) + 1,8m(3-n) na najjednoduch\u0161\u00ed tvar!","answers":["2,3mn + 1,2m2<\/sup> + 2,9mn + 5 m","3mn2<\/sup> + 1,2m2<\/sup> - 2,9mn + 5mn","4,6mn2<\/sup> + 1,2m2<\/sup> - 2,9mn + 5,4m","2,3mn2<\/sup> + 1,2m2<\/sup> - 2,9mn + 5,4m"],"correct":"2,3mn2<\/sup> + 1,2m2<\/sup> - 2,9mn + 5,4m","order":"5"},{"question":"Upravte na s\u00fa\u010din: 8a2<\/sup> - 8a + 2","answers":["2(2a + 1)2<\/sup>","2(2a - 1)","2(2a - 1)2<\/sup>","(2a - 1)2<\/sup>"],"correct":"2(2a - 1)2<\/sup>","order":"6"},{"question":"Vypo\u010d\u00edtajte: (8x2<\/sup>b - 4xb2<\/sup> - 2x) : 2x","answers":["4xb - 2b2<\/sup> + 1","4xb - 2b2<\/sup> - 1","4xb + 2b2<\/sup> - 1","4xb + 2b2<\/sup> + 1"],"correct":"4xb - 2b2<\/sup> - 1","order":"7"},{"question":"Vypo\u010d\u00edtajte: (3\/2x2<\/sup> - 2x) : (-3x)","answers":["1\/2x + 1\/3","1\/2x + 2\/3","-1\/2x - 2\/3","-1\/2x + 2\/3"],"correct":"-1\/2x + 2\/3","order":"8"},{"question":"Umocnite pod\u013ea vzorca: (4\/3a - 1\/3b)2<\/sup>","answers":["16\/9a2<\/sup> - 8\/9ab + 1\/9b2<\/sup>","16\/9a2<\/sup> + 8\/9ab - 1\/9b2<\/sup>","16a2<\/sup> - 8\/9ab + 9b2<\/sup>","16\/9a2<\/sup> - 8\/9ab2<\/sup> + 1\/9b2<\/sup>"],"correct":"16\/9a2<\/sup> - 8\/9ab + 1\/9b2<\/sup>","order":"9"},{"question":"Vyde\u013ete: (a - b) : (1\/a - 1\/b)","answers":["(-a2<\/sup>b), a, b \u2260 0, a \u2260 b","(-ab), a, b \u2260 0, a \u2260 b","(-ab2<\/sup>), a, b \u2260 0, a \u2260 b","(-ab), a, b \u2260 0, a = b"],"correct":"(-ab), a, b \u2260 0, a \u2260 b","order":"10"}]