Bruce has 𝑏 dollars in his savings
account, and then he deposited eleven dollars. Seven months later, his balance has
doubled. Write an equivalent expression to
his new balance of two times 𝑏 plus eleven dollars.
In order to write an equivalent
expression, we can simplify what we have. Essentially, when the two is
outside of these parentheses, we’re multiplying; it’s called the distributive
property. So we will take two times 𝑏 and
add it to two times eleven.
To help visualize, we can use
arrows. So the two multiplies to the 𝑏 and
the two also multiplies to the eleven, and we add those together, so two times 𝑏 is
two 𝑏 and two times eleven is twenty-two. Therefore, the equivalent
expression to his new balance would be two 𝑏 plus twenty-two.