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 - 7)
(y x y) + (y x -7) + (-8 x y) + (-8 x -7)
y² - 7y - 8y + 56
y² - 15y + 56

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c²) is equal to the sum of the two perpendicular sides squared (a² + b²): c² = a² + b² or, solved for c, \(c = \sqrt{a + b}\)

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 5 x 1
a = 5

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.

-3y - 7 > -9 - 8y
-3y > -9 - 8y + 7
-3y + 8y > -9 + 7
5y > -2
y > \( \frac{-2}{5} \)
y > -\(\frac{2}{5}\)

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).