Algebraic Properties
x = 3, x + 7 = 3 + 7 or x + 7 = 10
Addition Property of Equality
10 + (-6 + 11) = (10 + -6) + 11
Associative Property of Addition
3 + (12 + 1) = (3 + 12) + 1
Associative Property of Addition
(2 x 8) x 7 = 2 x (8 x 7)
Associative Property of Multiplication
(8 x 11) x 12 = 8 x (11 x 12)
Associative Property of Multiplication
3 x (4 x 8) = (3 x 4) x 8
Associative Property of Multiplication
15 + 7 + 3 = 7 + 15 + 3
Commutative Property of Addition
4 + 6 + 9 = 6 + 4 + 9
Commutative Property of Addition
8x + 9x = 9x + 8x
Commutative Property of Addition
x + 8 = 8 + x
Commutative Property of Addition
15 x (-7) = -7 x 15
Commutative Property of Multiplication
3 x 8 x 10 = 10 x 8 x 3
Commutative Property of Multiplication
5(-4) = -4(5)
Commutative Property of Multiplication
7(-5) = -5(7)
Commutative Property of Multiplication
8/2 = 8(1/2)
Definition of Division
4 - 5 = 4 + (-5)
Definition of Subtraction
3(2x + 5) = 6x + 15
Distributive Property
7(2x - 6) = 14x - 42
Distributive Property
8x + 6 = 2(4x + 3)
Distributive Property
-14 = 0 + (-14)
Identity Property of Addition
-21 = 0 + -21
Identity Property of Addition
0 + 9 = 9
Identity Property of Addition
4 + 0 = 4
Identity Property of Addition
-18 = -18(1)
Identity Property of Multiplication
-20(1) = -20
Identity Property of Multiplication
10 = 1(10)
Identity Property of Multiplication
6(1) = 6
Identity Property of Multiplication
-18 + 18 = 0
Inverse Property of Addition
0 = -5 + 5
Inverse Property of Addition
0 = -8 + 8
Inverse Property of Addition
7 + (-7) = 0
Inverse Property of Addition
7 + -7 = 0
Inverse Property of Addition
1 = -3(-1/3)
Inverse Property of Multiplication
4(1/4) = 1
Inverse Property of Multiplication
6(1/6) = 1
Inverse Property of Multiplication
x = 10, 7x = 10(7) or 7x = 70
Multiplication Property of Equality
7 = 7
Reflexive Property
If x = 5, then 5 = x
Symmetric Property
If x = y, and y = 7, then x = 7
Transitive Property
0 = -15(0)
Zero Product Property
0 = 0(25)
Zero Product Property
4(0) = 0
Zero Product Property
