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.

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:

6c² - 3c²
(6 - 3)c²
3c²

The factors of a number are all positive integers that divide evenly into the number. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.

To fill a 8 gallon tank exactly halfway you'll need 4 gallons of fuel. Each fuel can holds 1 gallons so:

cans = \( \frac{4 \text{ gallons}}{1 \text{ gallons}} \) = 4

First, solve for \( \left|y + 5\right| \):

\( \left|y + 5\right| \) - 2 = 4
\( \left|y + 5\right| \) = 4 + 2
\( \left|y + 5\right| \) = 6

The value inside the absolute value brackets can be either positive or negative so (y + 5) must equal + 6 or -6 for \( \left|y + 5\right| \) to equal 6:

So, y = -11 or y = 1.