Evaluating Algebraic Expressions
Learning to find the value of an expression by substituting given values.
Core concept
Careful substitution is essential — the variable must be replaced by its given value everywhere it appears in the expression, and the correct order of operations must still be followed after substitution, especially with expressions involving multiple operations or exponents. This skill of evaluation is fundamental to algebra, since it connects the abstract idea of a variable representing 'any number' to a specific, calculable numerical answer for a particular case.
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• Evaluating an expression means substituting a given value for the variable, then calculating.
• Example: if x=3, then 2x+1 = 2(3)+1 = 7.
• BODMAS order must still be followed after substitution.
• Evaluation connects the abstract idea of a variable to a specific numerical answer.