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. For example, 3x + 5 is an algebraic expression.

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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. In the expression 2x + 3, the number 3 is a constant.

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What is a variable in an algebraic expression?

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A variable is a symbol, usually a letter, that represents an unknown value. In the expression 4y + 7, 'y' is the variable.

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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 the expression 5x, the number 5 is the coefficient.

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Translate the phrase 'three times a number' into an algebraic expression.

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3n, where n represents the number.

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Translate the phrase 'the sum of a number and seven' into an algebraic expression.

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n + 7, where n represents the number.

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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 is the difference between an equation and an expression?

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

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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 in a parenthesis.

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Translate the phrase 'twice a number decreased by four' into an algebraic expression.

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2n - 4, where n represents the number.