Alg I Equation Review

Variables on Both Sides

100

4x+3 = 2x-9

x = -6

200

2(n-4)+3n = 7n+16

n = -12

300

11-5a+2(8-3a)=4a-6a

a = 3

400

Translate and solve: The sum of twice a number and sixteen is equal to six times the difference between that same number and eight.

n = 16

Fractional Equations

100

3/4x-6=9+1/4x

x=30

200

1/8x+1/2=1/4

x=-2

300

2/3x=1/6x-3/2

x=-3

400

1/6n-1/2=3/8-2/3n

n=1.05

or

n=21/20

Proportions

100

(2x)/7=6/3

x=7

200

(x+1)/10=3/5

x=5

300

(3x-4)/2=(x+1)/3

x=2

400

(n-5)/(n+1)=12/7

n=-9.4

or

n=-47/5

Literal Equations

100

Solve for a:

u=k/a

a=k/u

200

Solve for a:

2a-c=d-r

a=(d-r+c)/2

300

Solve for r

C=2pir

r=C/(2pi)

400

Solve for x:

n=9x-9-3y

x=(n+9+3y)/9

Number of Solutions

100

w+3=w+6

No solution

200

5x+2=3x-8

One Solution (x = -5)

300

12y+6=6(2y+1)

Infinite Solutions (the set of All Real Numbers)

400

3(x-2)+1=2(x-4)+x+13

No Solution