Question

which expression is equivalent to 5(w+4) when w=9?
5(9)
9(5)
5(9)+4
5(9)+20

Explanation:

Step1: Apply Distributive Property

The distributive property states that \(a(b + c)=ab+ac\). For the expression \(5(w + 4)\), applying the distributive property gives \(5\times w+5\times4\), which simplifies to \(5w + 20\).

Step2: Substitute \(w = 9\)

Now, substitute \(w = 9\) into the expanded expression \(5w+20\). So we have \(5\times9+20\), which is the same as \(5(9)+20\).

Answer:

\(5(9)+20\) (the last option)