what does it mean to evaluate an expression

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To evaluate an expression means to find the value of the expression when the variable is replaced by a given number. In other words, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations. Evaluating expressions is a fundamental concept in mathematics, and it involves finding the value of a mathematical statement that has at least two terms containing numbers or variables, or both, connected by an operator.

To evaluate an expression, we follow these steps:

  • Substitute the given number for the variable in the expression.
  • Simplify the expression using the order of operations.

For example, to evaluate the expression 3x + 2 when x = 4, we substitute 4 for x and simplify the expression using the order of operations: 3(4) + 2 = 14 .