Algebraic Expressions and Properties

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Algebraic Expression

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A mathematical phrase that contains at least one variable, and may include numbers and operation symbols, but no equal sign.

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Evaluate

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To find the value of an algebraic expression by substituting a given number for each variable and performing the operations.

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Simplify

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To combine like terms and perform operations to make an expression less complex.

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Substitute (Substitution)

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To replace a variable in an expression with a specific numerical value.

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Variable

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A symbol, usually a letter, used to represent an unknown quantity or a value that can change.

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Associative Property

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The property that states that the way in which numbers are grouped in a sum or product does not change the result.

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Associative Property of Addition

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(a+b)+c=a+(b+c)

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Associative Property of Multiplication

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(a⋅b)⋅c=a⋅(b⋅c)

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Coefficient

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The numerical factor of a term that contains a variable. In the term 5x, the coefficient is 5.

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Combine Like Terms

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To simplify an algebraic expression by adding or subtracting terms that have the same variables raised to the same powers.