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 is a coefficient in an algebraic expression?

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A coefficient is a numerical factor that multiplies a variable in an algebraic expression. For example, in 7xy², 7 is the coefficient.

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What does it mean to simplify an algebraic expression?

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To simplify an algebraic expression means to combine like terms and reduce it to its simplest form.

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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 value in an algebraic expression or equation.

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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.

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How do you evaluate an algebraic expression?

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To evaluate an algebraic expression, substitute the values of the variables into the expression and perform the operations.

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What is the algebraic expression for '4 times a number increased by 7'?

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The expression is 4x + 7.

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What is the algebraic expression for '8 less than the quotient of a number and 2'?

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The expression is (x/2) - 8.

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What is the algebraic expression that describes the sequence 1, 1/2, 1/3, 1/4, 1/5...?

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The expression is 1/x.

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What is the algebraic expression that describes the sequence 12, 24, 36, 48...?

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The expression is 12x.