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.

8z + 8 = \( \frac{z}{-6} \)
-6 x (8z + 8) = z
(-6 x 8z) + (-6 x 8) = z
-48z - 48 = z
-48z - 48 - z = 0
-48z - z = 48
-49z = 48
z = \( \frac{48}{-49} \)
z = -\(\frac{48}{49}\)

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.

4c - 9 > \( \frac{c}{-5} \)
-5 x (4c - 9) > c
(-5 x 4c) + (-5 x -9) > c
-20c + 45 > c
-20c + 45 - c > 0
-20c - c > -45
-21c > -45
c > \( \frac{-45}{-21} \)
c > 2\(\frac{1}{7}\)

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.

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.

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a² - a² = 3a² but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.