Algebraic Expressions & the Distributive Property

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What is an algebraic expression?

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An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 4x + 5 is an algebraic expression.

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

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What is a coefficient in an algebraic expression?

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A coefficient is a numerical factor that multiplies a variable. For example, in 5x, 5 is the coefficient.

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What is a constant in an algebraic expression?

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A constant is a fixed value that does not change. For example, in the expression 3x + 7, the number 7 is a constant.

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Identify like terms in the expression: 2x + 3x + 4y - 5y.

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The like terms are 2x and 3x, and -5y and 4y.

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What does it mean to simplify an expression?

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To simplify an expression means to combine like terms and reduce it to its simplest form.

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What are unlike terms?

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Unlike terms are terms that have different variable parts. For example, 3x and 4y are unlike terms.

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