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 operation symbols (like +, -, *, /). For example, 2x + 3 is an algebraic expression.

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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. For example, to evaluate 2x + 3 for x = 4, substitute 4 for x to get 2(4) + 3 = 11.

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What is a variable in algebra?

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A variable is a symbol (usually a letter) that represents an unknown number. For example, in the expression 3x + 2, x is the variable.

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What is a coefficient?

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A coefficient is a number that is multiplied by a variable in an algebraic expression. For example, in 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. For example, in the expression 2x + 3, the number 3 is a constant.

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How do you combine like terms?

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To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power. For example, in 3x + 4x, combine to get 7x.

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What is the order of operations in mathematics?

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The order of operations is a set of rules that determines the sequence in which calculations are performed. The order is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

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The value is 56.

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The value is 27.

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The result is 0.