Welcome to your ACT 1 Alg: Solve a formula for a specific variable

$Q_{1}:$ If $2x +3y =18$ , which of the following gives $y$ in terms of $x$ ?

$Q_{2}:$ If $P=2l+2w$, which of the following gives $w$ in terms of $P$ and $l$ ?

$Q_{3}:$ If $c=\frac{a}{a+b}$, which of the following gives $a$ in terms of $b$ and $c$?

$Q_{4}:$ If $\frac{st-1}{3}=f$ , which of the following gives $t$ in terms of the other variables?

$Q_{5}:$ If $gh-r=g-h$ , which of the following gives $g$ in terms of the other variables?

$Q_{6}:$ If $j$ is $n$ less than one-half of $c$ , what is $n$ in terms of $j$ and $c$ ?

$Q_{7}:$ . For all pairs of real numbers K and J where $K=4J-7$, $J =$ ?

$Q_{8}:$ If $3p − 4 = 6u − 8$, which of the following expressions is equivalent to $3p − 8$?

$Q_{9}:$ For all nonzero values of $x$ and $y$, $a=\frac{x}{y}$ . If $b = 2a − a^{ 2}$ , which of the following expressions defines $b$ in terms of $x$ and $y$?

$Q_{10}:$ Solve $ 3x + 2y - 4 = 7x + 8z + 2$ for $x$?

$Q_{11}:$ Solve $y(x + 4) = 2x + 7 $ for $x$?

$Q_{12}:$ Solve the formula $W=\frac{15}{7} (A-40)$ for A.

$Q_{13}:$ Solve the formula $R=\frac{1}{2}Bk -k $ for $k$?

$Q_{14}:$ Solve the formula $M=\frac{1}{3} n (l_{1}+l_{2})$ for $l_{1}$.

$Q_{15}:$ A triangular has area $A$ square feet and height $h$ foot, where $A=\frac{bh}{2}$. What is its base $b$?

$Q_{16}:$ Solve the formula $A=2\pi r^{2}+2\pi rh$ for $h$.

$Q_{17}:$ In any right triangle, where $x$ and $y$ are the lengths of the legs, and $z$ is the length of the hypotenuse. Use the Pythagorean Theorem to find the length of $x$ in terms of $y,z$ ?.

$Q_{18}:$ If $d^{2}=\frac{b-c}{k^{3}+d}$, which of the following gives $k=$?

$Q_{19}:$ Solve the formula $A=2L+2W$ for $W$.

$Q_{20}:$ Solve the formula $2x+9t-3s=3sx -2y+t$ for $x$.

$Q_{21}:$ Solve the formula $\frac{a+b}{2-a}=\frac{3b-c}{2c-b}$ for $a$.

$Q_{22}:$ Solve the formula $q-3q^{2}=2b-6qb$ for $q$.

$Q_{23}:$ Solve the formula $\frac{2p}{3}-\frac{4}{2q}=\frac{3p}{2}-q$ for $p$.

$Q_{24}:$ Solve the formula $0.2g-0.3gq=0.2gq-4g-t$ for $g$.

$Q_{25}:$ Solve the formula $c^{3}-8d^{3}=27$ for $d$.