Algebraic Expressions

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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. It does not have an equality sign.

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What does the term 'variable' mean in algebra?

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A variable is a symbol, often a letter, that represents one or more numbers.

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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 in an algebraic expression.

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What is the difference between an expression and an equation?

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An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal.

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What does it mean to simplify an algebraic expression?

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

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What are like terms in algebra?

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Like terms are terms that have the same variable raised to the same power.

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What is the distributive property?

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

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How do you evaluate an algebraic expression?

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To evaluate an algebraic expression, substitute the values of the variables into the expression and perform the operations.

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What is a polynomial?

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A polynomial is an algebraic expression that consists of terms with non-negative integer exponents.

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What is a linear expression?

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A linear expression is an algebraic expression of the first degree, meaning it has no exponents greater than one.