The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

First, solve for \( \left|b + 2\right| \):

\( \left|b + 2\right| \) + 8 = 2
\( \left|b + 2\right| \) = 2 - 8
\( \left|b + 2\right| \) = -6

The value inside the absolute value brackets can be either positive or negative so (b + 2) must equal - 6 or --6 for \( \left|b + 2\right| \) to equal -6:

So, b = 4 or b = -8.

A ratio of 2:1 means that there are 2 home fans for every one visiting fan. So, of every 3 fans, 2 are home fans and \( \frac{2}{3} \) of every fan in the stadium is a home fan:

33,000 fans x \( \frac{2}{3} \) = \( \frac{66000}{3} \) = 22,000 fans.

By buying two shirts, Damon will save $28 x \( \frac{50}{100} \) = \( \frac{$28 x 50}{100} \) = \( \frac{$1400}{100} \) = $14.00 on the second shirt.

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.