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 (like x or y), and operations (like addition, subtraction, multiplication, and division).

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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 5x, 5 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. In the expression 3x + 4, the number 4 is a constant.

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What does it mean to evaluate an expression?

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To evaluate an expression means to calculate its value by substituting the variables with specific numbers.

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How do you simplify an algebraic expression?

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To simplify an algebraic expression, combine like terms and perform any operations to reduce it to its simplest form.

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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 3x + 4y - 5, there are three terms: 3x, 4y, and -5.

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What is the difference between a variable and a constant?

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A variable is a symbol (like x or y) that represents an unknown value, while a constant is a fixed value that does not change.

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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 4x^3 + 2x^2 + 5, the degree is 3.

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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 variable raised to a non-negative integer power.

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What is a linear expression?

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A linear expression is an algebraic expression of the first degree, meaning it has no variable raised to a power greater than one. For example, 2x + 3 is linear.