Equivalent Expressions

An equivalent expression is a mathematical expression that has the same value as another expression for all values of the variable(s) involved.

To simplify an expression means to combine like terms and perform operations to make the expression as concise as possible.

The distributive property states that a(b + c) = ab + ac, meaning you multiply a number by each term inside the parentheses.

A mathematical expression is a combination of numbers, variables, and operators (like +, -, *, /) without an equal sign.

A mathematical equation is a statement that two expressions are equal, containing an equal sign (=).

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Factoring is the process of breaking down an expression into simpler components (factors) that, when multiplied together, give the original expression.

The greatest common factor is the largest factor that two or more numbers share.

Using the distributive property: -3(2x - 4) = -6x + 12.

Combining like terms gives you 6x - 2.