Solving Algebraic Equations

One-Step Equations

100

9 = 14 + h

h= -5

200

72 = -8w

w= -9

300

s/8=-5

s= -40

400

-p= 24

p= -24

500

0= -7k

k= 0

Rational Equations

100

14.7 = 15.3 + n

n= -.6

200

-.26n = 1.95

n= -7.5

300

-.75=r/-25.2

r= 18.9

400

2/3x=48

x= 72

500

-1/8+m=-7/24

m=-1/6

Two-Step Equations

100

-4x+7=31

x= -6

200

-6=1+n/-4

n= 28

300

(p+20)/7=-4

p= -48

400

1/2y -5=-7

y= -4

500

-2c^2+45=27

c=+-3

Multi-step Equations

100

-19=-5-3a-11

a= 1

200

-52=4(3n-1)

n= -4

300

-1/2(12p-42)=-33

p= 9

400

r-3(r-9)+4=5

r= 13

500

6(8-3x)-(2x+1)=107

x= -3

Misc.

100

p²=25

p=+-5

200

2(4-a)=-2(a-8)

No solution

300

4(2k-3)+1=8k-11

Infinite solutions

400

10-4(3-2y)=8y-5

No Solutions

500

1/3(24x-54)=11(x-4)+5

x= 7