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.

-4z + 2 = \( \frac{z}{-4} \)
-4 x (-4z + 2) = z
(-4 x -4z) + (-4 x 2) = z
16z - 8 = z
16z - 8 - z = 0
16z - z = 8
15z = 8
z = \( \frac{8}{15} \)
z = \(\frac{8}{15}\)

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, \(c = \sqrt{a + b}\)

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.

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.

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)(3ab) + (8a²)(2b)
(9 x 3)(a x a x b) + (8 x 2)(a² x b)
(27)(a¹⁺¹ x b) + (16)(a²b)
27a²b + 16a²b
43a²b