Properties of Math
The product of zero and any number is zero
Zero Property of Multiplication
x + 4 = 9
x = 5
5v + 3 = 8
v = 1
Simplify:
2(x + 3)
2x + 6
Simplify:
5x + 4x
9x
Multiplying 1 and any number does not change the value of the number
Identity Property of Multiplication
m = 25
4 - 7s = -10
s = 2
Simplify:
-4(y + 9)
-4y - 36
Simplify:
7y - 9y
-2y
Changing the order of addends does not change the sum
Commutative Property of Addition
6h = 72
h = 12
d/8 - 9 = 9
d = 144
Simplify:
7(-6 + 3w)
-42 + 21w
Simplify:
3v + 8 - 2v
v + 8
Adding 0 and any number does not change the value of the number
Identity Property of Addition
a / 7 = -9
a = -63
y/7 + 2 = 4
y = 14
Simplify:
-5(-3 - 9d)
15 + 45d
Simplify:
6m - 14m - 9
-8m - 9
Multiplying a number by a set of parentheses is the same as multiplying the outer term by each term inside the parentheses
Distributive Property
-15 + r = 14
r = 29
5x + 13 = 13
x = 0
Simplify:
-(-n + 7)
n - 7
Simplify:
23 - 15k + 8k
23 - 7k
or
-7k + 23