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Simplifying Expressions definitions

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  • Algebraic Expression

    A mathematical phrase combining numbers and variables using operations, separated by plus or minus signs.
  • Term

    A part of an expression separated by plus or minus signs, consisting of numbers, variables, or both.
  • Like Terms

    Parts of an expression with identical variables raised to identical exponents, regardless of coefficient.
  • Unlike Terms

    Parts of an expression with different variables or same variables raised to different exponents.
  • Coefficient

    A numerical factor multiplying a variable or group of variables in a term.
  • Variable

    A symbol representing an unknown value, often used in algebraic expressions.
  • Exponent

    A number indicating how many times a variable is multiplied by itself in a term.
  • Constant

    A term in an expression containing only a number, with no variable attached.
  • Parentheses

    Grouping symbols used to indicate which operations should be performed first in an expression.
  • Distribution

    The process of multiplying a term outside parentheses by each term inside the parentheses.
  • Standard Form

    An arrangement of an expression where all like terms are combined and no parentheses remain.
  • Polynomial

    An expression consisting of one or more terms, each with variables raised to whole number exponents.
  • Monomial

    A single term expression with a coefficient and variables, possibly raised to exponents.
  • Grouping

    The act of writing like terms next to each other to facilitate combining them.
  • Simplification

    The process of reducing an expression by combining like terms and removing parentheses.