Question

which expression is equivalent to 5(h + 9)?
○ 45h
○ 14h
○ 5h + 9
○ 5h + 45

Explanation:

Step1: Apply Distributive Property

The distributive property states that \( a(b + c)=ab + ac \). For \( 5(h + 9) \), we multiply 5 by each term inside the parentheses. So, \( 5\times h+5\times9 \).

Step2: Simplify Each Term

Calculating each product: \( 5\times h = 5h \) and \( 5\times9 = 45 \). Combining these, we get \( 5h + 45 \).

Answer:

\( 5h + 45 \) (the option with \( 5h + 45 \))