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
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 \(\left \{x\in \mathbb{R} : -2 < x < 3\right \}\).
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 \(6\).
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
\(- 0.5\).