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 reduce it to its simplest form by combining like terms and performing operations.

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What is a linear expression?

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A linear expression is an algebraic expression in which the highest exponent of the variable is 1. For example, 2x + 3 is a linear expression.

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What is the additive inverse of a number?

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The additive inverse of a number is the value that, when added to the original number, results in zero. For example, the additive inverse of 5 is -5.

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How do you combine like terms?

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To combine like terms, you add or subtract the coefficients of terms that have the same variable raised to the same power. For example, 3x + 2x = 5x.

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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 parenthesis.

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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. For example, in 4x, 4 is the coefficient.

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What does it mean for two expressions to be equivalent?

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Two expressions are equivalent if they have the same value for all values of the variable(s) involved.

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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 + 5, the number 5 is a constant.

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How do you find the value of an expression for a given variable?

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To find the value of an expression for a given variable, substitute the value of the variable into the expression and perform the operations.