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.

-3b - 1 < \( \frac{b}{-4} \)
-4 x (-3b - 1) < b
(-4 x -3b) + (-4 x -1) < b
12b + 4 < b
12b + 4 - b < 0
12b - b < -4
11b < -4
b < \( \frac{-4}{11} \)
b < -\(\frac{4}{11}\)

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.

6z - 8 > 8 + z
6z > 8 + z + 8
6z - z > 8 + 8
5z > 16
z > \( \frac{16}{5} \)
z > 3\(\frac{1}{5}\)

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(9a)(8ab) + (7a²)(6b)
(9 x 8)(a x a x b) + (7 x 6)(a² x b)
(72)(a¹⁺¹ x b) + (42)(a²b)
72a²b + 42a²b
114a²b

The volume of a cylinder is πr²h:

v = πr²h
v = π(8² x 8)
v = 512π

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 57° - 33° = 90°

So, d° = 33° + 90° = 123°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 57° = 123°