Evaluate 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, 3x + 5 is an algebraic expression.

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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 then perform the operations according to the order of operations (PEMDAS/BODMAS).

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What does it mean to substitute in an expression?

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Substituting in an expression means replacing a variable with a specific value. For example, if x = 2, then in the expression 3x + 1, you would replace x with 2 to get 3(2) + 1.

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What is the order of operations?

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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). This is often remembered by the acronym PEMDAS.

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4

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Evaluate 6a - 3d when a = 1 and d = 2.

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0

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12

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Evaluate 4y if y = 3.

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12

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Evaluate 3x + 8 if x = 2.

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14

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What is a variable in algebra?

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A variable is a symbol (often a letter) that represents an unknown value in an expression or equation. For example, in the expression 2x + 3, x is a variable.