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:

-9x³ - 3x³
(-9 - 3)x³
-12x³

You have 7 out of the total of 150 raffle tickets sold so you have a (\( \frac{7}{150} \)) x 100 = \( \frac{7 \times 100}{150} \) = \( \frac{700}{150} \) = 5% chance to win the raffle.

First, solve for \( \left|x - 6\right| \):

\( \left|x - 6\right| \) + 9 = 0
\( \left|x - 6\right| \) = 0 - 9
\( \left|x - 6\right| \) = -9

The value inside the absolute value brackets can be either positive or negative so (x - 6) must equal - 9 or --9 for \( \left|x - 6\right| \) to equal -9:

So, x = 15 or x = -3.

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form \({a \over b}\) where a is the numerator and b is the denominator. An improper fraction (\({5 \over 3} \)) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number (\(1 {2 \over 3} \)) which has a whole number part and a fractional part.

Betty scored 74% on the test meaning she earned 74% of the possible points on the test. There were 180 possible points on the test so she earned 180 x 0.74 = 134 points. Each question is worth 2 points so she got \( \frac{134}{2} \) = 67 questions right.