9000023801 Level: AFind the sum of the solutions of the following equation. \[ \sqrt{x - 2} = \frac{x} {3} \]\(9\)\(3\)\(6\)\(12\)
9000023802 Level: AFind the product of the solutions of the following equation. \[ \sqrt{3x - 8} = \frac{x} {2} \]\(32\)\(4\)\(8\)\(16\)
9000023803 Level: AIn the following list identify a true statement referring to the solution of the following equation. \[ \sqrt{x + 3} = 3 + x \]The difference of the bigger and smaller solutions is \(1\).The difference of the bigger and smaller solutions is \(- 1\).The difference of the smaller and the bigger solutions is \(1\).The difference of the smaller and twice the bigger solutions is \(- 1\).
9000023804 Level: AIdentify 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 \([ 3;5)\).
9000023805 Level: AIdentify 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 \(\left \{x\in \mathbb{R} : -2 < x < 3\right \}\).
9000023806 Level: AIdentify 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 \(3\).
9000023807 Level: AIdentify 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 \(12\).
9000023808 Level: AIdentify 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 \(|x| = 4\).
9000023809 Level: AIdentify 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 \(|x + 1| > 3\).
9000023810 Level: ADenote by \(x_{1}\) the solution of the equation \[ \sqrt{6 - 2x} = -x - 1 \] and by \(x_{2}\) the solution of the equation \[ \sqrt{2x + 6} = 9 - x. \] Identify a correct statement about \(x_{1}\) and \(x_{2}\).\(|x_{1}| = |x_{2}|\)\(|x_{1}| < |x_{2}|\)\(|x_{1}| > |x_{2}|\)\(5|x_{1}| = |x_{2}|\)