Solve and Justify Equations using Properties of Equality

One-step-Equations

100

p-55=37

p=92

200

q/-2 = 3

q = -6

300

5 - b = 2

b = 3

400

f + 4=9

f=5

500

3x = 81

x = 27

Justify One-Step Equations

100

y ÷ 6 = 3

y ÷ 6 · 6 = 3 · 6

What is the multiplication POE?

200

144 = s + 240

What is the Subtraction POE?

s = -96

300

2c = -10

2c/2 = -10/2

What is the Division POE?

c = -5

400

-3 = r/4

What is the Multiplication POE?

r = -12

500

-26 +26 +G = 44+26

What is the Addition POE?

G = 70

Two-Step-Equations

100

3m - 17 = 4

m = 7

200

6 – 20s = – 34

s = 2

300

–13u – 65 = –26

u = -3

400

–11w/4 = 33

w = -12

500

(x + 5)/ -2 = 2

v = -9

Two-Step Equations How do you solve?Justify Both Steps!!

100

2w-1=1

Addition POE, then Division POE

w=1

200

x/2 - 7 = 9

Addition POE, then Multiplication POE

x = 32

300

2t+2=6

Subtraction POE, then Division POE

t=2

400

-3x/50 = -12

Multiplication POE, then Division POE

c = 200

500

4(-2g)=2

Distribute/Multiply, then Division POE

g = -1/4

Multi-Step-Equations

100

3(x - 1) = 6

x = 3

200

-2(x - 2) = 10

x = -3

300

-2(2x - 4) = -8

x = 4

400

2(q+1) ÷ 7 = 10

q=4

500

-3(-3x - 1) = -24

x = -3