Algebraic Proofs Flashcards
1
Q
x = y → x + a = y + a
A
Addition Property of Equality
2
Q
x = y → x - a = y - a
A
Subtraction Property of Equality
3
Q
x = y → ax = ay
A
Multiplication Property of Equality
4
Q
x = y → x/a = y/a
A
Division Property of Equality
5
Q
x = y → y = x
A
Symmetric Property of Equality
6
Q
x is a value → x = x
A
Reflexive Property of Equality
7
Q
a(x + y) → ax + ay
A
Distribution Property
8
Q
x = y, and y = z → x = z
A
Transitive Property of Equality
9
Q
x + y = z, and x = a → a = y = z
A
Substitution Property of Equality