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.
Radical equations and inequalities
9000023702
Level:
A
Identify a true statement which concerns the following equation.
\[
\sqrt{x + 7} = 3
\]
The solution is \(x = 2\).
The solution is \(x = -4\).
The solution is \(x = -2\).
The equation does not have a solution.
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
\((4;7)\).
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 \(D = \left \{x\in \mathbb{R} : -3 < x < 0\right \}\).
9000023705
Level:
A
Identify a true statement which concerns the following equation.
\[
\sqrt{x + 4} = 3
\]
The solution is a divisor of \(20\).
The solution is a divisor of \(6\).
The solution is a divisor of \(12\).
The solution is a divisor of \(18\).
9000023706
Level:
A
Identify a true statement which concerns the following equation.
\[
\sqrt{2x + 7} = 5
\]
The solution is a multiple of \(3\).
The solution is a multiple of \(2\).
The solution is a multiple of \(4\).
The solution is a multiple of \(5\).
9000023707
Level:
A
Identify a true statement which concerns the following equation.
\[
\sqrt{3x - 5} = 4
\]
The solution is a prime number.
The solution is from the interval \([ - 5;5] \).
The solution is from the set \(A = \left \{x\in \mathbb{R} : -4 < x\leq 3\right \}\).
The solution is a multiple of \(4\).
9000023708
Level:
A
Identify a true statement which concerns the following equation.
\[
\sqrt{x + 5} = x - 1
\]
The solution is an even number.
The solution is from the interval \([ - 2;2)\).
The solution is from the set \(A = \left \{x\in \mathbb{R} : -1\leq x < 3\right \}\).
The solution is a divisor of \(6\).
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).
9000023710
Level:
A
Identify a true statement which concerns the following pair of equations.
\[
\begin{aligned}
\sqrt{
2x + 17} & = 3 &\text{(1)}
\\
\sqrt{8 - 4x} & = 4 &\text{(2)}
\end{aligned}
\]
The product of the solutions of (1) and (2) is
\(8\).
The sum of the solutions of (1) and (2) is
\(- 2\).
The quotient of the solution of (1) divided by the solution of (2) is
\(- 2\).
The quotient of the solution of (2) divided by the solution of (1) is
\(- 0.5\).