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. It does not have an equality sign.

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What does it mean to evaluate an expression?

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To evaluate an expression means to calculate its value by substituting the variables with specific numbers.

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How do you translate a verbal phrase into an algebraic expression?

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To translate a verbal phrase into an algebraic expression, identify keywords that correspond to mathematical operations (e.g., 'sum' for addition, 'difference' for subtraction) and use variables for unknown quantities.

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What is the constant in an algebraic expression?

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A constant is a fixed value that does not change, represented by a number in an algebraic expression.

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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 in an algebraic expression or equation.

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What does 'twice a number' mean in algebraic terms?

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'Twice a number' means to multiply the number by 2, often represented as 2n, where n is the variable.

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How do you express 'half a number' in algebra?

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'Half a number' can be expressed as n/2, where n is the variable representing the number.

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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, variables, and operations without an equality sign, while an equation states that two expressions are equal, using an equality sign.

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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 reduce it to its simplest form.

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What does 'increased by' indicate in an algebraic expression?

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'Increased by' indicates addition. For example, 'a number increased by 5' is represented as n + 5.