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 + 8)(y - 2)
(y x y) + (y x -2) + (8 x y) + (8 x -2)
y² - 2y + 8y - 16
y² + 6y - 16

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r²h and the surface area is 2(π r²) + 2π rh.

The formula for area is πr². Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr²
a = π(4²)
a = 16π

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.

-8b + 8 < -4 + 5b
-8b < -4 + 5b - 8
-8b - 5b < -4 - 8
-13b < -12
b < \( \frac{-12}{-13} \)
b < \(\frac{12}{13}\)

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 equal sign and the answer on the other.

a + 8 = 2 - 5a
a = 2 - 5a - 8
a + 5a = 2 - 8
6a = -6
a = \( \frac{-6}{6} \)
a = -1