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 does it mean to evaluate an algebraic expression?

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To evaluate an algebraic expression means to substitute the values of the variables and perform the operations to find a numerical result.

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What is a variable in algebra?

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A variable is a symbol, often a letter, that represents an unknown number or value. For example, in the expression 2x + 3, 'x' is a variable.

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How do you simplify an algebraic expression?

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To simplify an algebraic expression, combine like terms and perform any operations to make the expression as concise as possible.

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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 4x, 4 is the coefficient.

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What does it mean to combine like terms?

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Combining like terms means to add or subtract 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 two or more terms inside a parenthesis.

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How do you write an expression for 'seven less than a number l'?

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The expression is l - 7.

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What is the expression for 'three times a number n, increased by 9'?

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The expression is 3n + 9.

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What is the expression for 'the product of 4 and a number decreased by 7'?

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The expression is 4(n - 7).