The ability to write and simplify expressions means that a person is able to solve math problems. Simplifying mathematical expression means that you are able to write them in most simplest form, in such a way that in the and there are no operations (adding, multiplying, subtracting...) that are not needed. In order to simplify math expressions you must follow the order of operations.
You have the ability to understand and apply the laws of algebra. When you simplify algebraic expressions, you can apply the rules such as the law of exponents, the PEMDAS rule, operations involving fractions and many more. Algebra is the basic form of mathematics.
