Identifying Parts of 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 6y, 6 is the coefficient.

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How do you identify the number of terms in an algebraic expression?

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Count the number of separate parts in the expression that are added or subtracted. For example, in 2y + x + 4, there are 3 terms.

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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. In the expression 3x + 2y + 7, 7 is the constant.

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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 and multiplication) that represents a value. For example, 3x + 2 is an algebraic expression.

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How many terms are in the expression 3x + 2y + z?

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There are 3 terms in the expression 3x + 2y + z.

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What is a variable in an algebraic expression?

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A variable is a symbol (usually a letter) that represents an unknown value. For example, in the expression 5x, x is the variable.

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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. For example, 2x + 3x simplifies to 5x.

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What are like terms in algebra?

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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 difference between an expression and an equation?

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An expression is a combination of numbers and variables without an equality sign, while an equation states that two expressions are equal, using an equality sign.

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How do you identify 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, the degree is 3.