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.

7c - 1 = \( \frac{c}{3} \)
3 x (7c - 1) = c
(3 x 7c) + (3 x -1) = c
21c - 3 = c
21c - 3 - c = 0
21c - c = 3
20c = 3
c = \( \frac{3}{20} \)
c = \(\frac{3}{20}\)

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.

(6a)(7ab) - (3a²)(4b)
(6 x 7)(a x a x b) - (3 x 4)(a² x b)
(42)(a¹⁺¹ x b) - (12)(a²b)
42a²b - 12a²b
30a²b

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

a = l x w
a = a x b
a = 2 x 8
a = 16

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 - 2 < \( \frac{b}{-2} \)
-2 x (3b - 2) < b
(-2 x 3b) + (-2 x -2) < b
-6b + 4 < b
-6b + 4 - b < 0
-6b - b < -4
-7b < -4
b < \( \frac{-4}{-7} \)
b < \(\frac{4}{7}\)

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.