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, 2x + 3 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 4x, 4 is the coefficient.

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What are variables in algebra?

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Variables are symbols (often letters) that represent unknown values in mathematical expressions or equations. For example, x and y are variables.

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Evaluate the expression when x = 2 and y = 5: 2 + (12 - 5x) ⋅ 2y

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22

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Evaluate when a = 15: 2(a - 5) + 2

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22

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Evaluate the expression when x = 3: 2x² - 5

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13

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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, variables, and operations without an equality sign, while an equation states that two expressions are equal.

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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 given numbers.

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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 3x² + 2x + 1, the degree is 2.

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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 3x + 5, the number 5 is a constant.