Solving Multi-Step Equations

Rules & Info

100

More Than Two or Many.

What is "multi"?

200

The Inverse Operation of Multiplication.

What is Division?

300

Getting the Variable on One side of the Equal Sign

What is Isolating the Variable?

400

The First Step of Isolating the Variable.

What is the inverse Operation of Addition or Subtraction?

500

Before Isolating the Variable You must do these 2 things. 

What is Distributive Property & Combine Like Terms?

SOLVE Combining/Isolate

100

5h + 2 + 2h = 23

h = 3

200

3b + b - 8 = 4

b = 3

300

3a + 12 - 6a = -9

a = 7

400

-6 = -3y + 4 + 5y

y = -5

500

78 = 3c + 12 - c + 4

c = 31

SOLVE Distributive/Isolate

100

2(x + 5) = 14

x = 2

200

5(d - 2) = 40

d = 10

300

7(4 - t) = -84

t = 16

400

-2(x - 9) = -24

x = 21

500

-13(4 + 2a) = 208

a = -10

SOLVE Distribute/Combine/Isolate

100

2(2x + 3) + x = 36

x = 6

200

4(4x + 2) - 6x = 48

x = 4

300

2 + 6(2a + 8) - 2a = 100

a = 9

400

2x + 6(2x - 4) = 56

x = 10 

500

-5x + 5(5x - 6) + 10 = 60

x = 1

Equation Grab Bag

100

4x + 9 = 33

x = 6

200

x + 3x = -8

x = -2

300

4(y - 2) + y = -13

y = -1

400

-6(m + 1) + 18 = 24

m = -2

500

7k - 8 + 2(k + 12) = 52

k = 4