Evaluate algebraic expressions correctly using substitution and order of operations.
Substitute into a two-variable expression
Problem
Evaluate the expression \(2a~+~b\) when \(a~=~3\) and \(b~=~5\).
Big Picture
What this problem is really about
Keep a small variable-to-value map so the two assignments are not swapped or reused. Substitute three only for a and five only for b, while retaining the coefficient attached to a. Then follow order of operations by evaluating the product before adding the separate b-value.
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