Solving with Variables on Both Sides
Solving with variables on Both Sides (2)
Literal Equations and Formulas
Literal Equations and Formulas (2)
Vocabulary
100

x+3=2x-7

10

100

4x-5=2x+5

5

100

Solve for x.

y=x+12

x=y-12

100

Solve for c.

b/c=a

c=b/a

100

Formula

An equations that states a relationship between one quantity and one or more quantities.

200

3(x-2)=2(x+6)

18

200

4(x-2)=2(-2x+8)

3

200

Solve for m.

n=4/5(m+7)

m=5/4n-7

200

Solve for f.

dfg=h

f=h/dg

200

Identity

An equation that is true for all of the variables.
300

5(2x+6)=8x+48

9

300

-3(8+3h)=5h+4

-2

300

Solve for x.

w=x/(a-b)

x=w(a-b)

300

Solve for n.

2n=4x+2y

n=2x+y

300

Literal Equation

An equations consists of only variable and known constants.

400

2(y-6)=3(y-4)-y

All Solutions 

400

8x-4=2(4x-4)

No Solution

400

Solve for m.

12(m+3x)=18(x-3m)

m= -3x/11

400

Solve for x.

8(x-a)=2(2a-x)

x=6a/5

500

3y=[(8-12y)/4] + 2

2/3

500

0.25(2(x-1)+10)=x

4

500

Solve for y.

x=3(y-b)/m

y=[(mx)/3] + b

500

Solve for g.

f=-(gm)/r2

g=-(fr2)/m