Question

writing about creating equivalent expressions
explain how to write an equivalent expression using the distributive property.
2(11 + y)

Explanation:

Step1: Recall distributive property

The distributive property states that \(a(b + c)=ab+ac\), where \(a\), \(b\), and \(c\) are real numbers.

Step2: Apply distributive property to \(2(11 + y)\)

Here, \(a = 2\), \(b=11\), and \(c = y\). So we multiply 2 with each term inside the parentheses:
\(2\times11+2\times y\)

Step3: Calculate the product

\(2\times11 = 22\) and \(2\times y=2y\). So the equivalent expression is \(22 + 2y\).

Answer:

The equivalent expression of \(2(11 + y)\) using the distributive property is \(22 + 2y\).