To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.

-5a - 6 < \( \frac{a}{6} \)
6 x (-5a - 6) < a
(6 x -5a) + (6 x -6) < a
-30a - 36 < a
-30a - 36 - a < 0
-30a - a < 36
-31a < 36
a < \( \frac{36}{-31} \)
a < -1\(\frac{5}{31}\)

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 3)(y - 5)
(y x y) + (y x -5) + (3 x y) + (3 x -5)
y² - 5y + 3y - 15
y² - 2y - 15

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

3a + 6a = 9a

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).