Solving Multi-Step Equations

Solving by Combining Like Terms

100

5h + 2 + 2h = 23

h = 3

200

3b + b - 8 = 4

b = 3

300

3a + 12 - 6a = -9

a = 7

400

-8+6k=-16+3k+5k

k=4

500

4x-7-3x-3=5x-2x

x= -5

Solving by Using the Distributive Property

100

2(x + 5) = 14

x = 2

200

5(d - 2) = 40

d = 10

300

-2(x - 9) = -24

x = 21

400

4(1+2x)=36-8x

x= 2

500

4(x-6)=-24+4x

Infinite Solutions

Two-Step Equations

100

2x+5=23

x=9

200

49=5y-26

y=15

300

-2w+1=-9

w=5

400

-x/2+7=21

x=-28

500

3/4=2/3x+3

-27/8

Mixed Equations

100

x/3+5=4

x = -3

200

-3x-2=-(3x-20)

No Solution

300

8x+13=-2x+33

x = 2

400

(x-3)/9=x/6

x= -6

500

(4x)/2=(x-18)/3

x=-18/5

Literal Equations

100

Solve for y:

7x+5y=25

y=-7/5x+5

200

Solve for x:

2x+y=-4

x=-1/2y-2

300

Solve for y:

3x-6y=-18

y=1/2x+3

400

Solve for y:

y-1=2/5(x+10)

y=2/5x+5

500

Solve for x:

y+4=2/3(x-9)

3/2y+15=x