To reduce to a simpler form by cancellation of common factors, regrouping of terms in the same variable

Numbers or quantities that are the same

Only one value for the variable would make the equation true. When solving the equation, you are left with a variable equal to a constant

Two integers whose product is one

Two integers whose sum is zero

a property indicating a special way in which multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as a(b + c) = ab + ac

Any value for the variable would make the equation true. When solving the equation, both sides are equal.

What comes out of a function, also called y-value, range, and dependent variable

What is put into a function, also called x-value, domain, and independent variable

No value for the variable would make the equation. When solving the equation, you are left with unequal constants.