Question

How can you use properties of operations to decide whether or not expressions are equivalent?

Answer 1

You can use properties of operations to decide whether or not expressions are equivalent because (look below)

Step-by-step explanation:

Use properties of operations on the more complicated side, if it is still not EXACTLY and OBVIOUSLY equivalent, use properties of operations on the other side. If the results are OBVIOUSLY the same (e.g. 10 = 10)<-- very obvious, then the expressions are equivalent. Vice Versa.

Answer 2

Properties of operations can be used to decide whether or not expressions are equivalent by examining the order of operations, distributive property, and associative property. For example, if two expressions are written in different forms, but they evaluate to the same number, then they are equivalent. Additionally, if one expression can be simplified or rearranged to match the other expression, then they are also equivalent.