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SAT Math Practice: Solving For a Variable in Terms of Another Practice 01

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1. Solve for $x$ : $\dfrac{x-y}{3} = 2xz$

$\dfrac{y}{3} +2z$

$- \dfrac{y}{6z-1}$

$\dfrac{2z}{3} -y$

$\dfrac{y+z}{2}$

2. Solve for $c$ : $2(a-b) = (c-b)^2$

$\sqrt{2a-2b} +b$

$\dfrac{a^2 +b^2}{2}$

$\dfrac{ab \sqrt{2}}{4}$

$\dfrac{\sqrt{a-b}}{2ab}$

3. Solve for $w$ : $3x-2y = \dfrac{w}{z}$

$\dfrac{3x-2y}{z}$

$z(3x-2y)$

$yz+2x$

$3-xyz$

4. Solve for $b$ : $2(a-3b)= \dfrac{c}{2a}$

$c+4a^2$

$\dfrac{a^2}{c} - 3a$

$\dfrac{a}{3} - \dfrac{c}{12a}$

$ac + \dfrac{2a^2}{3}$

5. Solve for $y$ : $\dfrac{\sqrt{x+2y}}{z} = 3x-z$

$\dfrac{z^2}{2} (9x^2 -6xz +z^2) - \dfrac{x}{2}$

$3x^2 z^2 + z^3 - \dfrac{x}{2}$

$6x^2 z +5z^2 (x-3z)$

$\dfrac{xz}{3} - \sqrt{3z} + x^3 z$

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