Question

identifying an equivalent expression
which expression is equivalent to 5(2n + 1)?
2n + 1
2n + 5
10n + 1
10n + 5

Explanation:

Step1: Apply distributive property

The distributive property states that \(a(b + c)=ab+ac\). For the expression \(5(2n + 1)\), we distribute the 5 to both terms inside the parentheses. So, \(5\times2n+5\times1\).

Step2: Simplify the products

Calculate \(5\times2n = 10n\) and \(5\times1=5\). Combining these results, we get \(10n + 5\).

Answer:

\(10n + 5\) (the last option among the given choices)