Solving Literal Equations

 $Given\ ax-b=c,\ solve\ for\ x.\$  

•  $x\ =\ \frac{c+b}{a}$  

•  $x\ =\ \frac{c-b}{a}$  

•  $x\ =\ \frac{a+b}{c}$  

•  $x\ =\ \frac{c+a}{b}$  

Tags

CCSS.HSA.REI.B.3

2.  Given 15x + 1 = y, solve for x.

•  $x\ =\frac{y+1}{15}$  

•  $x\ =\frac{y-15}{1}$  

•  $x\ =\frac{y-1}{15}$  

•  $x\ =\frac{y+15}{1}$  

Tags

CCSS.6.EE.C.9

 $Given\ xy\ +\ w\ =\ 9,\ solve\ for\ y.$  

•  $y=\frac{9+w}{x}$  

•  $y=\frac{9-x}{w}$  

•  $y=\frac{9-w}{x}$  

•  $y=\frac{9+x}{wy}$  

Tags

CCSS.HSA.CED.A.4

 $Given\ d=rt,\ solve\ for\ r.\$  

•  $r=\frac{t}{d}$  

•  $t\ =\ \frac{d}{r}$  

•  $d=\frac{r}{t}$  

•  $r=\frac{d}{t}$  

Tags

CCSS.HSA.CED.A.4

 $Given\ mx+4y=3t,\ solve\ for\ x.$  

•  $x=\ \frac{3t+4y}{m}$  

•  $x=\frac{3t-4y}{m}$  

•  $x=\frac{3m-4y}{t}$  

•  $x=\frac{3y+4t}{m}$  

Tags

CCSS.HSA.CED.A.4

 $Given\ V=lwh,\ solve\ for\ l.$  

•  $l=\frac{Vw}{h}$  

•  $l=\frac{V}{wh}$  

•  $l=\frac{Vh}{w}$  

•  $l=\frac{wh}{V}$  

Tags

CCSS.HSA.CED.A.4

 $Given\ 5x-y=16,\ Solve\ for\ y.$  

•  $-y=5x+16$  

•  $x=5y-16$  

•  $y=5x+16$  

•  $y=5x-16$  

Tags

CCSS.6.EE.C.9

Given the equation y = mx + b.  What should we do first to solve for x?

• Add

• Multiply

• Subtract

• Divide

Tags

CCSS.7.EE.B.4A

 $Solve:\ C=2\pi r,\ for\ r$  

•  $r=\frac{C}{2\pi}$  

•  $r=C+2\pi$  

•  $r=C-2\pi$  

•  $r=2\pi C$  

Tags

CCSS.HSA.CED.A.4

 $Solve\ C=\frac{5}{9}\left(F-32\right),\ for\ F.$  

•  $F\ =\ \frac{5}{9}C+32$  

•  $F\ =\ \frac{5}{9}C-32$  

•  $F\ =\ \frac{9}{5}C-32$  

•  $F\ =\ \frac{9}{5}C+32$  

Tags

CCSS.HSA.CED.A.4