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.

The surface area of a cylinder is 2πr² + 2πrh:

sa = 2πr² + 2πrh
sa = 2π(4²) + 2π(4 x 4)
sa = 2π(16) + 2π(16)
sa = (2 x 16)π + (2 x 16)π
sa = 32π + 32π
sa = 64π

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.

-4z - 1 > \( \frac{z}{-4} \)
-4 x (-4z - 1) > z
(-4 x -4z) + (-4 x -1) > z
16z + 4 > z
16z + 4 - z > 0
16z - z > -4
15z > -4
z > \( \frac{-4}{15} \)
z > -\(\frac{4}{15}\)

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).