Question

Name the algebraic property demonstrated in the example below.
x + 5 = x + 5

A. Reflexive Property

B. Symmetric Property

C. Associative Property of Addition

D. Distributive Property

Answer 1

The symmetric property says that if x = y, then y = x

Basically you can flip the equation and it won't change things

Is that what's going on here?

Answer 2

YEAH i think so.

Answer 3

Well it may look like it happens, there's actually a more better answer (that's more accurate of what is going on)

Answer 4

Is it kind of like this same question?? Name the algebraic property demonstrated in the example below.
3 • (x • y) = (3 • x) • y

A. Distributive Property

B. Transitive Property

C. Associative Property of Multiplication

D. Commutative Property of Multiplication

Answer 5

If I say 2 = 2 (sounds silly, but it's important), then this is definitely true and it's true because any number is equal to itself due to the reflexive property.

Answer 6

The original question is actually the commutative property of addition

Answer 7

It's only commutative if you say

x + 5 = 5 + x

Answer 8

oh i read it wrong

Answer 9

so for the first question what would be the correct answer?

Answer 10

x is a number

5 is a number

so x+5 is a number

When we say

x+5 = x+5

we're basically saying

SOME NUMBER = ITSELF

and we can say this because ???

Answer 11

communitive

Answer 12

no, that property allows to say

x+5 = 5+x

ie, you can add in any order

Answer 13

allows us*

Answer 14

so symmetric property

Answer 15

that is the property that says

if x = y

then y = x

It's close to what we have, but there's actually a more accurate answer