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, 3n + 5 is an algebraic expression.

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What does it mean to 'increase' a number by a certain amount?

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To 'increase' a number means to add a specific value to it. For example, increasing n by 4 means calculating n + 4.

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What does 'four times a number' mean in algebra?

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'Four times a number' means to multiply the number by 4. If the number is represented by n, it is written as 4n.

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How do you express 'decreased by' in algebraic terms?

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'Decreased by' means to subtract a value from a number. For example, 'three decreased by two' is written as 3 - 2.

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What is the meaning of 'less than' in algebra?

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'Less than' indicates subtraction. For example, 'eight less than twice a number' is expressed as 2n - 8.

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How do you represent 'the quotient of a number and another number'?

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The quotient is represented by division. For example, 'the quotient of fourteen and triple a number' is written as 14 / (3n).

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What does it mean to repeat a number as a factor?

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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. For example, n and x are common variables.

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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, using an equality sign.

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What does 'triple a number' mean?

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'Triple a number' means to multiply the number by 3. If the number is n, it is expressed as 3n.