x + 2 = 3
x = 1
12x = 48
x = 4
States that if you add the same number to both sides of an equation, the sides remain equal
Addition Property of Equality
x + 2 = 4
x = 6
What should x equal?
Added 2 and 4
Forgot to subtract
x = 2
13 + y = 27
y = 14
-72 = 9v
v = -8
States that you can divide both sides of an equation, and the sides will remain equal
Division Property of Equality
x / 18 = 4
x = 4.5
What should x equal?
Divided 18 by 4
Didn't Multiply
x = 72
8 = k - 10
18 = k or k = 18
w / 10 = 5
w = 50
Subtraction Property of Equality States that...
When you subtract the same number, the sides remain equal
12f = 144
f = 1728
What should f equal?
Multiplied instead of divided
f = 12
y - 5 = -15
y = -10
n / -8 = 1
n = -8
Multiplication Property of Equality states that...
When you multiply both sides of an equation by the same number the sides remain equal.
-12 = 5 + t
t = -17 or -17 = t
f / (5-1) = 14
f = 64
Which property does this represent?
x + (-15) = 32
Bonus 100 points: What does x equal?
Subtraction Property of Equality
x = 47