Algebraic Expressions

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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 the expression 2x, 2 is the coefficient.

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What is a variable in an algebraic expression?

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A variable is a symbol, often a letter, that represents an unknown value in an algebraic expression. For example, in the expression x + 5, x is the variable.

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What is a constant in an algebraic expression?

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A constant is a fixed value that does not change. For example, in the expression 4x + 3, 3 is the constant.

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What is an algebraic expression?

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An algebraic expression is a mathematical phrase that includes numbers, variables, and operations. For example, 2x + 3 is an algebraic expression.

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What is a numeric expression?

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A numeric expression is a mathematical phrase that includes only numbers and operations, without any variables. For example, 100 - 12^2 + 5 is a numeric expression.

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

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An algebraic expression contains variables, while a numeric expression contains only numbers.

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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 term in an algebraic expression?

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A term is a single mathematical expression that can be a number, a variable, or a combination of both, separated by addition or subtraction. For example, in 3x + 4y - 5, there are three terms: 3x, 4y, and -5.

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What is the degree of an algebraic expression?

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The degree of an algebraic expression is the highest power of the variable in the expression. For example, in 4x^3 + 2x^2 - x, the degree is 3.

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What is an equation?

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An equation is a mathematical statement that asserts the equality of two expressions, typically containing an equal sign. For example, 2x + 3 = 7 is an equation.