Properties of Equality

Additive Property: If a = b, then a + c = b + c. For example, if x = 5, then x + 2 = 5 + 2.

Subtractive Property: If a = b, then a - c = b - c. For example, if x = 5, then x - 2 = 5 - 2

Multiplication Property: If a = b, then a • c = b • c. For example, if x = 5, then x • 2 = 5 • 2

Division Property: If a = b, then a ÷ c = b ÷ c. For example, if x = 5, then x ÷ 2 = 5 ÷2

Transitive Property: If A = B and B = C, then A = C. For example, let's say x=2 and y=2, then x=y

Substitution Property: If we have two quantities, A and B, and we know that A is equal to B, then we can substitute A with B or B with A in any equation. For example, if x = 5 and we have the equation 2x + 3 = 2(5) + 3, we can use the substitution property to replace x with 5, resulting in 2(5) + 3 = 10 + 3.

Reflexive Property: When you can show that a number or variable is equal to itself. For example, if we have the equation "x = x", we can apply the reflexive property to state that x is equal to x.

Symmetric Property: If we have two numbers, a and b, and we know that a = b, then we can use the symmetric property of equality to say that b = a. For example, if x = 5, then we can say that 5 = x.