1. Roger is a wildlife researcher who has been hired to study and track the

Question

population of bears in a national park. In Year 1 of the study, Roger determines
that the park is home to x bears. In Year 2, the population has increased to
x+10 bears, and in Year 3, the population has increased to 2(x+10) bears.
a. Use the Distributive Property to rewrite the bear population in Year 3
without needing to use parentheses.

Answer 1

To rewrite the bear population in Year 3 without parentheses using the Distributive Property, we start with the expression provided for Year 3:

\[ 2(x + 10) \]

Applying the Distributive Property, we multiply 2 by both terms inside the parentheses:

\[ 2(x) + 2(10) \]

This simplifies to:

\[ 2x + 20 \]

So, the bear population in Year 3 can be rewritten as:

\[ 2x + 20 \]