Simplifying Algebraic Expressions_B

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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 2x + 4 + x - 5x, the constant is 4.

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How do you simplify an algebraic expression?

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To simplify an algebraic expression, combine like terms by adding or subtracting their coefficients.

Front

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 -3x, -3 is the coefficient.

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What are variables in an algebraic expression?

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Variables are symbols that represent unknown values. In the expression 2x + 4 + y - 5z, x, y, and z are variables.

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

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Count the number of distinct parts separated by '+' or '-' signs. For example, in 2x + 4 + x - 5x, there are 4 terms.

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What is the difference between a term and a factor in algebra?

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A term is a single mathematical expression, while a factor is a number or variable that is multiplied in a term.

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What does it mean to combine like terms?

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Combining like terms means to add or subtract terms that have the same variable raised to the same power.

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What is the standard form of a polynomial?

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The standard form of a polynomial is written in descending order of the degree of its terms.

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What is the degree of a polynomial?

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The degree of a polynomial is the highest power of the variable in the expression.

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How do you identify the leading coefficient of a polynomial?

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The leading coefficient is the coefficient of the term with the highest degree in the polynomial.