9000023806
Level:
A
Identify a true statement which concerns to the following equation.
\[
\sqrt{3x + 4} = x
\]
The solution divides \(4\).
The solution divides \(1\).
The solution divides \(2\).
The solution divides \(3\).
A
9000023904
Level:
A
Let \([x;y]\)
be the solution of the system
\[\begin{aligned}
4x - 3y & = -3, & &
\\x + 2y & = 13. & &
\end{aligned}\]
Find \(2x - 7y\).
\(- 29\)
\(- 41\)
\(- 11\)
\(31\)
9000023807
Level:
A
Identify a true statement which concerns to the following equation.
\[
\sqrt{x + 3} = \frac{x}
{2}
\]
The solution is a multiple of \(2\).
The solution is a multiple of \(4\).
The solution is a multiple of \(8\).
The solution is a multiple of \(12\).
9000023905
Level:
A
Let \([x;y]\)
be the solution of the system
\[\begin{aligned}
2x + 5y & = 7, & &
\\ - 4x - 3y & = 7. & &
\end{aligned}\]
In the following list identify a true statement.
\(x^{2} + y^{2} = 25\)
\(x^{2} + y^{2} = 7\)
\(x^{2} - y^{2} = -7\)
\(y^{2} - x^{2} = 7\)
9000023808
Level:
A
Identify a true statement which concerns to the following equation.
\[
\sqrt{x + 5} = x + 3
\]
The solution \(x\)
satisfies \(|x| = 1\).
The solution \(x\)
satisfies \(|x| = 2\).
The solution \(x\)
satisfies \(|x| = 3\).
The solution \(x\)
satisfies \(|x| = 4\).
9000023906
Level:
A
Let \([x;y]\)
be the solution of the system
\[\begin{aligned}
2x + 3y & = 4, & &
\\4x + 6y & = 9. & &
\end{aligned}\]
In the following list identify a true statement.
The system does not have any solution.
\(x < y\)
\(x > y\)
\(x = y\)
9000023809
Level:
A
Identify a true statement which concerns to the following equation.
\[
\sqrt{16 - 5x} = 2 - x
\]
The solution \(x\)
satisfies \(|x| > 3\).
The solution \(x\)
satisfies \(|x| < 3\).
The solution \(x\)
satisfies \(|x + 1| < 3\).
The solution \(x\)
satisfies \(|x + 1| > 3\).
9000023907
Level:
A
Let \([x;y]\)
be the solution of the system
\[\begin{aligned}
- x + 2y & = 6, & &
\\2x + 3y & = 2. & &
\end{aligned}\]
In the following list identify a true statement.
\(|x| = |y|\)
\(|x| < |y|\)
\(|x| > |y|\)
The system does not have any solution.
9000022302
Level:
A
Complete the following statement, if possible: „The function \(f\colon y = -x^{2} - 2x + 15\) attains only
... values on the interval \([- 5;3] \).”
nonnegative
positive
negative
neither of the above is valid
9000023701
Level:
A
Identify a true statement which concerns the following equation.
\[
\sqrt{x - 3} = 1
\]
The solution is \(x = 4\).
The solution is \(x = 2\).
The solution is \(x = 5\).
The equation does not have any solution.