Algebraic Expressions Review

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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, 3x + 5 is an algebraic expression.

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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 is a variable in algebra?

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A variable is a symbol, usually a letter, that represents an unknown value in an expression or equation.

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What is a coefficient?

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A coefficient is a numerical factor in a term of an algebraic expression. For example, in 4x, 4 is the coefficient.

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How do you evaluate an expression?

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

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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 each term inside a parentheses.

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What is a like term?

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

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What is the process of combining like terms?

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Combining like terms involves adding or subtracting the coefficients of like terms to simplify an expression.

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What does it mean to factor an expression?

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Factoring an expression means to express it as a product of its factors. For example, x^2 - 9 can be factored as (x - 3)(x + 3).

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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 and variables without an equality sign, while an equation states that two expressions are equal.