TEST 19
1.
\(\samefrac{x\left(x^2+ax-2\right)}{\left(x+2\right)\left(x^2-x\right)}=1\)
\(\Rightarrow\ a=?\)
A) \(-2\)B) \(-1\)C) \(1\)D) \(2\)E) \(3\)
2.
\(x\in\mathbb Z^+\)
\(32^2-17^2=15x^2\)
\(\Rightarrow\ x=?\)
A) \(1\)B) \(3\)C) \(4\)D) \(7\)E) \(9\)
3.
\(a<b\)
\(\left.\begin{aligned}a^2+2ab&=21\\b^2-4ab&=-17\end{aligned}\right\}\)
\(\Rightarrow\ a-b=?\)
A) \(4\)B) \(2\)C) \(1\)D) \(-1\)E) \(-2\)
4.
\(x,\ y\in\mathbb R^+\)
\(\left.\begin{aligned}x^2+5xy&=8\\9y^2+xy&=17\end{aligned}\right\}\)
\(\Rightarrow\ x+3y=?\)
A) \(1\)B) \(2\)C) \(3\)D) \(4\)E) \(5\)
5.
\(\left.\begin{aligned}a-b&=7\\a^2+b^2&=23\end{aligned}\right\}\)
\(\Rightarrow\ a\cdot b=?\)
A) \(-9\)B) \(-10\)C) \(-11\)D) \(-12\)E) \(-13\)
6.
\(\left.\begin{aligned}a+b&=5\\a\cdot b&=4\end{aligned}\right\}\)
\(\Rightarrow\ a^2+b^2=?\)
A) \(11\)B) \(13\)C) \(15\)D) \(17\)E) \(19\)
7.
\(x<y\)
\(\left.\begin{aligned}x^2+xy&=21\\3y^2-9xy&=-60\end{aligned}\right\}\)
\(\Rightarrow\ y-x=?\)
A) \(4\)B) \(2\)C) \(1\)D) \(-1\)E) \(-2\)
8.
\(\left.\begin{aligned}a^3-3a^2b&=7\\3ab^2-b^3&=20\end{aligned}\right\}\)
\(\Rightarrow\ a-b=?\)
A) \(2\)B) \(3\)C) \(4\)D) \(5\)E) \(6\)