Exemplary Question Types
1.
\((x-y,x+y)=(11,17)\)
\(\Rightarrow x=?\)
2.
\(A=\{x\in\mathbb{R}\mid x^2=4\}\)
\(B=\{y\in\mathbb{Z}\mid|y-1|=7\}\)
\(\Rightarrow n(A\times B)=?\)
3.
\(\beta=\{(x,y)\in\mathbb{Z}\times\mathbb{Z}\mid x\cdot y=504\}\)
\(\Rightarrow n(\beta)=?\)
4.
\(f:\mathbb{R}\setminus\{-2\}\to \mathbb{R}\setminus\left\{\samefrac{1}{2}\right\}\)
\(f(x)=\samefrac{2x-3}{4x+8}\)
\(\Rightarrow f(3)=?\)
5.
\(f:\mathbb{R}\setminus\{a\}\to \mathbb{R}\setminus\{b\}\)
\(f(x)=\samefrac{6x-5}{2x-12}\)
\(\Rightarrow a\cdot b=?\)
6.
\(f:\mathbb{R}\setminus\{3\}\to \mathbb{R}\setminus\{0\}\)
\(f(x)=\samefrac{2}{3x-9}\)
\(\Rightarrow f^{-1}(x)=?\)
7.
\(f:\mathbb{R}\to \mathbb{R}\)
\(f\left(\samefrac{5x-4}{2}\right)=\samefrac{4x-7}{3}\)
\(\Rightarrow f^{-1}(3)=?\)
8.
\(f:[8,\infty)\to \mathbb{R}\)
\(f(x^2+2x+9)=3x^2+6x+1\)
\(\Rightarrow f(11)=?\)