Writing 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 (like +, -, *, /). It does not have an equality sign.

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What does it mean to 'translate' a phrase into an algebraic expression?

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Translating a phrase into an algebraic expression means converting a verbal statement into a mathematical form using variables and numbers.

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What is the variable in an algebraic expression?

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A variable is a symbol (often a letter) that represents an unknown number in an algebraic expression.

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How do you represent 'a number' in algebra?

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In algebra, 'a number' is often represented by a variable, such as n, x, or m.

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What does 'added to' indicate in algebraic expressions?

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'Added to' indicates addition. For example, 'a number added to 19' translates to 'n + 19'.

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What does 'less than' indicate in algebraic expressions?

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'Less than' indicates subtraction. For example, '8 less than a number' translates to 'n - 8'.

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How do you express 'the product of 4 and a number'?

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The product of 4 and a number is expressed as '4n' or '4m', where n or m is the variable representing the number.

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What does 'the difference of' mean in algebra?

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'The difference of' indicates subtraction. For example, 'the difference of a number and six' translates to 'n - 6'.

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How do you express 'five times a number'?

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'Five times a number' is expressed as '5n', where n is the variable representing the number.

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What does 'increased by' indicate in algebraic expressions?

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'Increased by' indicates addition. For example, 'five times a number increased by 9' translates to '5n + 9'.