Solving Literal Equations

Solve for h

A=bh

• Ah=b

• h= hA

• h=A/b

• h=b/A

Solve for l

V=lwh

• l = whv

• l = wh/V

• l = V/wh

• I = vhw

 $Solve\ for\ \ v\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ D=\frac{m}{v}$  

• V = mv

• V = Dm

• V = m/v

• V = v/m

Solve for x

y = mx+b

• m+y=xb

• m-y = xb

• y-b/m=x

• y+b/m=x

 $Solve\ for\ \ \ b\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ A=\ \frac{1}{5}bh$  

• b= Ah

• b = 1/5Ah

• 5b=Ah

• 5A/h=b

Solve for t

d=rt

• d/r=t

• dr=t

• r=db

• r=d/t

Solve for s

s - n = 8

• 8 - n = s

• s = 8 + n

• s = 8n

• s = 8/n

 $Solve\ \ for\ \ \ h\ \ \ \ \ \ \ \ \ \ \ A=\frac{bh}{2}$  

• 2a = bh

• h = 2Ah

• h = 2A-b

• 2A/b = h

Solve for k

u= bak

• k = u/ba

• k = ab/u

• k = abu

• k = au

Solve for a

F = ma

• a = Fm

• a = m/f

• a = ba

• a = F/m