write 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 +, -, *, /). For example, 3x + 5 is an algebraic expression.

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What does the term 'variable' mean in algebra?

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A variable is a symbol (usually a letter) that represents an unknown number. For example, in the expression 2x + 3, 'x' is the variable.

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What is the difference between a numerical expression and an algebraic expression?

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A numerical expression contains only numbers and operations (like 3 + 5), while an algebraic expression includes at least one variable (like 2x + 3).

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How do you translate the phrase 'the sum of a number and 5' into an algebraic expression?

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The algebraic expression is x + 5, where x represents 'a number'.

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What does 'the product of a number and 4' mean in algebraic terms?

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It translates to the algebraic expression 4x, where x is the number.

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How would you express '8 less than a number' in algebraic form?

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The algebraic expression is x - 8, where x is the number.

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What is meant by '37 more than 8 times a number'?

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This phrase translates to the algebraic expression 8x + 37, where x is the number.

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How do you write 'the difference of a number and 10' as an algebraic expression?

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The algebraic expression is x - 10, where x is the number.

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What does 'twice a number' mean in algebra?

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It means 2x, where x is the number.

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How do you express 'the quotient of a number and 5' in algebraic terms?

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The algebraic expression is x / 5, where x is the number.