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 constant term in an algebraic expression?

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A constant term is a term that does not contain any variables. For example, in the expression 14 - 8x + 7y, the constant term is 14.

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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. For example, in the term 4x, 4 is the coefficient.

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How do you identify the coefficients in an expression?

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To identify the coefficients, look for the numerical factors in front of the variables. For example, in the expression 12 - 8x + 4y, the coefficients are -8 and 4.

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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 multiplied together. For example, in 5x + 3y - 7, there are three terms: 5x, 3y, and -7.

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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 3x^2 + 2x + 1, the degree is 2.

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What does it mean for an expression to be simplified?

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An expression is simplified when it is reduced to its simplest form, with no like terms remaining. For example, 3x + 2x simplifies to 5x.

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What is a polynomial?

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A polynomial is an algebraic expression that consists of one or more terms, where each term is a product of a constant and a non-negative integer power of a variable. For example, 4x^3 + 2x^2 - x + 7 is a polynomial.

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What is a monomial?

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A monomial is an algebraic expression that contains only one term. For example, 5x^2 is a monomial.

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What is a binomial?

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A binomial is an algebraic expression that contains exactly two terms. For example, 3x + 4 is a binomial.