To evaluate the expression [tex]\(18 \div 9 + 2 \cdot 6\)[/tex], we should follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
1. Division: We start by evaluating the division part of the expression.
[tex]\[
18 \div 9 = 2
\][/tex]
2. Multiplication: Next, we evaluate the multiplication part of the expression.
[tex]\[
2 \cdot 6 = 12
\][/tex]
3. Addition: Finally, we add the results of the previous two steps.
[tex]\[
2 + 12 = 14
\][/tex]
Thus, the evaluated result of the expression [tex]\(18 \div 9 + 2 \cdot 6\)[/tex] is [tex]\(14\)[/tex].
