2010015405 Level: CThe ratio of ages of a mother and her daughter is 3:1. Ten years ago, the ratio of their ages was 8:1. How old is the mother today?42 years32 years52 years45 years
2010015404 Level: CThe average age in the group of six persons is 48 years. The average age of the first five of them is 51 years. How old is the sixth person?33 years32.5 years39.5 years43 years
2010015403 Level: AChoose the equation whose graphical solution is in the picture.−49x+1=29x−2−94x+1=29x−2−49x+1=92x−2−94x+1=92x−2
2010015402 Level: AChoose the equation whose graphical solution is in the picture.25x−2=−4x+452x−2=−4x+412x−2=−x+425x−2=−x+4
2010015401 Level: AChoose the equation whose graphical solution is in the picture.12x+2=5−xx+2=−x+514x+2=5−x−x+2=5−12x
2010011506 Level: BAssuming x∈R, find the solution set of the following inequality. (x−2)2+(2+x)2≤8+2x2R∅[0;8][−8;0]
2010011505 Level: BAssuming x∈R, find the solution set of the following inequality. (x+3)2−1+3x2>(2−2x)2(−27;∞)(27;∞)(−∞;27)(−∞;−27)
2010011504 Level: BWe are given the inequality 2x+3−4x2<72. Decide which of the following inequalities is equivalent to the given inequality, i.e. which of the following inequalities was obtained from the given inequality by equivalent transformations.0⋅x<40⋅x<−40⋅x>42⋅x>−4
2010011503 Level: BAssuming x∈R, find the solution set of the following system. 3x−1≤2x+7≤7x−8x∈[3;8]x∈(−∞;3]x∈[8;∞)x∈R∖(3;8)