Test 18
1.
\(||x-2|-5|=9\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\left\{16\right\}\)B) \(\left\{16,-12\right\}\)C) \(\left\{-2,6\right\}\)D) \(\left\{16,6\right\}\)E) \(\left\{16,-12,-2,6\right\}\)
2.
\(||7x-5|+2|=0\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\left\{2,0\right\}\)B) \(\left\{-2,0\right\}\)C) \(\left\{-1,0\right\}\)D) \(\left\{0,\samefrac{3}{7}\right\}\)E) \(\varnothing\)
3.
\(\left|\left|\samefrac{x-3}{4}\right|-7\right|=5\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\left\{-5,11\right\}\)B) \(\left\{-45,51\right\}\)C) \(\left\{-5,51\right\}\)D) \(\varnothing\)E) \(\left\{-45,-5,11,51\right\}\)
4.
\(||x-4|-3|=5\)
\(\Rightarrow\displaystyle\sum x=?\)
A) \(-8\)B) \(-6\)C) \(0\)D) \(5\)E) \(8\)
5.
\(||x+3|-2|=6\)
\(\Rightarrow\displaystyle\sum x=?\)
A) \(-10\)B) \(-8\)C) \(-6\)D) \(-4\)E) \(-2\)
6.
\(|x^2-4|=|x-2|\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\left\{-1,-3\right\}\)B) \(\left\{-3,2\right\}\)C) \(\left\{2\right\}\)D) \(\left\{-1,-3,2\right\}\)E) \(\left\{5,4\right\}\)
7.
\(|x^2-16|=|x-4|\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\left\{-5\right\}\)B) \(\left\{-5,-3\right\}\)C) \(\left\{-5,4\right\}\)D) \(\left\{4\right\}\)E) \(\left\{-5,-3,4\right\}\)
8.
\(3\cdot|a-2|=|a^2+a-6|\)
\(\Rightarrow\text{S.S.}=?\)
A) \(\left\{0\right\}\)B) \(\left\{2\right\}\)C) \(\left\{3\right\}\)D) \(\left\{-6,0,2\right\}\)E) \(\left\{0,3\right\}\)