Question

Match each equation from Column I with the correct first step for solving it in Column II. Cube each side of the equation. Multiply each side of the equation by $x(x + 5)$. Raise each side of the equation to the power $\frac{2}{5}$. Square each side of the equation. Let $u = (x + 5)^{1/3}$ and $u^2 = (x + 5)^{2/3}$. Drag each first step above to the corresponding equation below. Items may be used more than once. $\frac{2x + 3}{x} + \frac{5}{x + 5} = 9$ $\sqrt{x + 5} = 9$ $(x + 5)^{5/2} = 32$ $(x + 5)^{2/3} - (x + 5)^{1/3} - 6 = 0$ $\sqrt[3]{x(x + 5)} = \sqrt[3]{-6}$

          Match each equation from Column I with the correct first step for solving it in Column II.
Cube each side of the equation. Multiply each side of the equation by $x(x + 5)$. Raise each side of the equation to the power $\frac{2}{5}$.
Square each side of the equation. Let $u = (x + 5)^{1/3}$ and $u^2 = (x + 5)^{2/3}$.
Drag each first step above to the corresponding equation below. Items may be used more than once.
$\frac{2x + 3}{x} + \frac{5}{x + 5} = 9$
$\sqrt{x + 5} = 9$
$(x + 5)^{5/2} = 32$
$(x + 5)^{2/3} - (x + 5)^{1/3} - 6 = 0$
$\sqrt[3]{x(x + 5)} = \sqrt[3]{-6}$

Match each equation from Column I with the correct first step for solving it in Column II.
Cube each side of the equation. Multiply each side of the equation by x(x + 5). Raise each side of the equation to the power (2)/(5).
Square each side of the equation. Let u = (x + 5)^1/3 and u^2 = (x + 5)^2/3.
Drag each first step above to the corresponding equation below. Items may be used more than once.
(2x + 3)/(x) + (5)/(x + 5) = 9
√(x + 5) = 9
(x + 5)^5/2 = 32
(x + 5)^2/3 - (x + 5)^1/3 - 6 = 0
√(x(x + 5)) = √(-6)

Added by Janice H.

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