A

9000023709

Level: 
A
Identify a true statement which concerns the following pair of equations. \[ \begin{aligned} \sqrt{ 5 - x} & = 2 &\text{(1)} \\ \sqrt{x + 5} & = 4 &\text{(2)} \end{aligned} \]
The solution of (1) is smaller than the solution of (2).
The solutions of both equations are prime numbers.
The solution of (1) is bigger than the solution of (2).
The solution of (1) equals to the solution of (2).

9000023805

Level: 
A
Identify a true statement about the following equation. \[ \sqrt{6 + x} = -x \]
The solution is in the set \(\left \{x\in \mathbb{R} : -4 < x\leq - 1\right \}\).
The solution is in the set \(\left \{x\in \mathbb{R} : 1\leq x\leq 5\right \}\).
The solution is in the set \(\left \{x\in \mathbb{R} : -6\leq x\leq - 3\right \}\).
The solution is in the set \(\left \{x\in \mathbb{R} : -2 < x < 3\right \}\).

9000023703

Level: 
A
Identify a true statement which concerns the following equation. \[ \sqrt{x + 1} = 2 \]
The solution is a number from the interval \([ 2;5)\).
The solution is a number from the interval \([ - 1;2] \).
The solution is a number from the interval \([ - 2;3)\).
The solution is a number from the interval \((4;7)\).

9000022802

Level: 
A
Find all \(x\in \mathbb{R}\) for which the following expression is undefined. \[ \log \left (2x^{2} + 4x - 6\right ) \]
\(\left [ -3;1\right ] \)
\(\left (-\infty ;-3\right )\cup \left (1;\infty \right )\)
\(\left (-3;1\right )\)
\(\left (-\infty ;-3\right ] \cup \left [ 1;\infty \right )\)

9000023704

Level: 
A
Identify a true statement which concerns the following equation. \[ \sqrt{x + 20} = 4 \]
The solution is from the set \(B = \left \{x\in \mathbb{R} : -6\leq x\leq - 2\right \}\).
The solution is from the set \(A = \left \{x\in \mathbb{R} : -4 < x\leq - 1\right \}\).
The solution is from the set \(C = \left \{x\in \mathbb{R} : -7\leq x\leq - 5\right \}\).
The solution is from the set \(D = \left \{x\in \mathbb{R} : -3 < x < 0\right \}\).

9000022305

Level: 
A
Find the domain of the following expression. \[ \sqrt{-x^{2 } + 16x - 63} \]
\(\left [ 7;9\right ] \)
\(\left (-\infty ;7\right )\cup \left (9;\infty \right )\)
\(\left (-\infty ;-7\right ] \cup \left [ 9;\infty \right )\)
\(\left (7;9\right )\)
\(\left [ -7;9\right ] \)