Algebraic Expressions

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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 operation symbols. For example, 3x + 5 is an algebraic 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 7c, 7 is the coefficient.

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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 + 5, the number 5 is a constant.

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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. For example, in the expression 2x + 3, x is the variable.

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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, which are separated by plus or minus signs. For example, in 5x + 3 - 2y, there are 3 terms.

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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 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 4x + 7, both 4x and 7 are 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 evaluate an algebraic expression?

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To evaluate an algebraic expression, substitute the values of the variables into the expression and perform the operations. For example, to evaluate 2x + 3 when x = 4, substitute 4 for x: 2(4) + 3 = 11.

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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.