Algebra Properties
If 4x - 7 = 21, then 4x = 28.
Addition Property of Equality
3ab + 0 = 3ab
Additive Identity Property
4ab + 0 = 4ab
Additive Identity Property
4xy + 0 = 4xy
Additive Identity Property
(st) + (-st) = 0
Additive Inverse Property
-5xy + 5xy = 0
Additive Inverse Property
8x + (-8x) = 0
Additive Inverse Property
(q + r) + t = q + (r + t)
Associative Property of Addition
4 + (9 + 2x) = (4 + 9) + 2x
Associative Property of Addition
(ab)(c) = (a)(bc)
Associative Property of Multiplication
3x + (by)c = 3x + b(yc)
Associative Property of Multiplication
9x(3a ×7b) = (9x × 3a)(7b)
Associative Property of Multiplication
8 + 6b = 6b + 8
Commutative Property of Addition
a + r + t = r + a + t
Commutative Property of Addition
(3)(2x) = (2x)(3)
Commutative Property of Multiplication
ab + 3 = ba + 3
Commutative Property of Multiplication
mnz = zmn
Commutative Property of Multiplication
3a + b = b + 3a
Commutative of Addition Property
4(3x - 8) = 12x - 32
Distributive Property
4(4x - 5) = 16x - 20
Distributive Property
8x(3y + 8a) = 24xy + 64xa
Distributive Property
If 3x/8 = 6, then 3x = 48.
Multiplication Property of Equality
(8xy)(1) = 8xy
Multiplicative Identity Property
(9ab)(1) = 9ab
Multiplicative Identity Property
(2/3)×(3/2) = 1
Multiplicative Inverse Property
(4r/3z)×(3z/4r) = 1
Multiplicative Inverse Property
(9a/4x)(4x/9a) = 1
Multiplicative Inverse Property
(9a + 4c - 2d) (0) = 0
Multiplicative Property of Zero
2x + y (0) = 2x + 0
Multiplicative Property of Zero
3abc = 3abc
Reflexive Property of Equality
5ab = 5ab
Reflexive Property of Equality
9ab = 9ab
Reflexive Property of Equality
(4 + 6)x= 10x
Substitution Property of Equality
(7x + 3) = (7x + 2 + 1)
Substitution Property of Equality
8x(3y + 8y) = 8x(11y)
Substitution Property of Equality
If 2x + 5y = 10 and 5y = 8, then 2x + 8 = 10.
Substitution Property of Equality
If 8st - 9w = 12ab and w = 7q, then 8st - 9(7q) = 12ab
Substitution Property of Equality
If 2a + 3b = 6y + 10z, then 6y + 10z = 2a + 3b
Symmetric Property of Equality
If 4x + 6 = 3y, then 3y = 4x + 6.
Symmetric Property of Equality
If a = b, then b = a
Symmetric Property of Equality
If ab = 8, then 8 = ab
Symmetric Property of Equality
If x + y = 12, then 12 = x + y.
Symmetric Property of Equality
If 2x + 4y = 8z and 8z = 3st - 2y, then 2x + 4y = 3st - 2y.
Transitive Property of Equality
If 2x - 6 = 9z and 9z = 5b - 2, then 2x - 6 = 5b - 2.
Transitive Property of Equality
If 2x = 3y and 3y = 8z, then 2x = 8z.
Transitive Property of Equality
If 4x +9y = 10z, then 9y = 10z - 4x.
Subtraction Property of Equality
If 5x + 15 = 35, then 5x = 20.
Subtraction Property of Equality