Parts of an 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 the expression 4x, 4 is the coefficient.

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The coefficients are 2 and 3.

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What is a variable in mathematics?

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A variable is a symbol used to represent an unknown value, often denoted by letters such as x, y, or z.

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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 5x + 3, the number 3 is a constant.

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There are 2 variables: y and x.

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What is the difference between a term and a coefficient?

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A term is a single mathematical expression that can be a number, variable, or the product of numbers and variables. A coefficient is the numerical part of a term that contains a variable.

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What is an algebraic expression?

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An algebraic expression is a combination of numbers, variables, and operations (like addition, subtraction, multiplication, and division) without an equality sign.

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There are 3 terms: 4x, 5y, and -2.

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What does it mean for a term to be 'like'?

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Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

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What is the purpose of simplifying an algebraic expression?

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Simplifying an algebraic expression makes it easier to work with by combining like terms and reducing it to its simplest form.