9000023902
Level:
A
Solve the following system and write the solution as the ordered pair
\([x,y]\).
\[\begin{aligned}
2x + y & = 2 & &
\\x + 2y & = 7 & &
\end{aligned}\]
\([-1;4]\)
\([2;-2]\)
\([1;3]\)
\([3;-4]\)
A
9000023804
Level:
A
Identify a true statement which concerns to the following equation.
\[
\sqrt{x + 3} = x - 3
\]
The solution is in the interval \((5;8)\).
The solution is in the interval \([ - 2;2] \).
The solution is in the interval \([ - 3;1)\).
The solution is in the interval \([ 3;5)\).
9000023903
Level:
A
Let \([x;y]\)
be the solution of the system
\[\begin{aligned}
2x + 3y & = -2, & &
\\3x - 2y & = 10. & &
\end{aligned}\]
Find \(5x + y\).
\(8\)
\(- 12\)
\(- 8\)
\(12\)
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 \(3\).
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 \(|x| = 4\).
9000020003
Level:
A
Find the domain of the following equation.
\[
\sqrt{3x + 6} + \sqrt{8 - 2x} = 11
\]
\([ - 2;4] \)
\((-\infty ;-2] \)
\([ - 2;\infty )\)
\([ 4;\infty )\)
9000020001
Level:
A
Find the domain of the following equation.
\[
\sqrt{2x - 5} = 3
\]
\(\left [ \frac{5}
{2};\infty \right )\)
\(\left (\frac{2}
{5};\infty \right )\)
\(\left [ -\frac{5}
{2};\infty \right )\)
\(\left (\infty ; \frac{2}
{5}\right )\)