Evaluating Algebraic Expressions

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What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. It does not have an equality sign.

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What are coefficients in an algebraic expression?

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Coefficients are the numerical factors that multiply the variables in an algebraic expression. For example, in 8a + b + 9, the coefficients are 8 (for a) and 1 (for b).

Front

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 arithmetic operations according to the order of operations.

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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. It is often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

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What does it mean to simplify an algebraic expression?

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Simplifying an algebraic expression means to combine like terms and reduce the expression to its simplest form.

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What is a variable in an algebraic expression?

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A variable is a symbol, usually a letter, that represents an unknown value in an algebraic expression.

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How do you find the value of an expression when given specific values for its variables?

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Substitute the given values for the variables into the expression and then perform the calculations to find the value.

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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 and includes an equality sign.

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What is the result of evaluating the expression 6a + 2(c - b) when a = 2, b = 1, c = 9?

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The result is 28.

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What is the result of evaluating the expression 2x + 5(y - 1) when x = 8 and y = 5?

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The result is 36.