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, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{9 + 5 + 11 + 3}{4} \) = \( \frac{28}{4} \) = 7

Diane scored 90% on the test meaning she earned 90% of the possible points on the test. There were 240 possible points on the test so she earned 240 x 0.9 = 216 points. Each question is worth 4 points so she got \( \frac{216}{4} \) = 54 questions right.

There are 2 3-passenger taxis available so that's 2 x 3 = 6 total seats. There are 11 people needing transportation leaving 11 - 6 = 5 who will have to find other transportation.

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

9a² - 2a²
(9 - 2)a²
7a²