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.

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

9b - 4x = -9b - 3x + 5
9b = -9b - 3x + 5 + 4x
9b + 9b = -3x + 5 + 4x
18b = x + 5
b = \( \frac{x + 5}{18} \)
b = \( \frac{x}{18} \) + \( \frac{5}{18} \)
b = \(\frac{1}{18}\)x + \(\frac{5}{18}\)

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.

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 28 as well and sum (Inside, Outside) to equal 11. For this problem, those two numbers are 4 and 7. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² + 11y + 28
y² + (4 + 7)y + (4 x 7)
(y + 4)(y + 7)