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)(2ab) - (5a²)(7b)
(6 x 2)(a x a x b) - (5 x 7)(a² x b)
(12)(a¹⁺¹ x b) - (35)(a²b)
12a²b - 35a²b
-23a²b

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.

-y + 7 < -9 + 5y
-y < -9 + 5y - 7
-y - 5y < -9 - 7
-6y < -16
y < \( \frac{-16}{-6} \)
y < 2\(\frac{2}{3}\)

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 4 x 4 = \( \frac{16}{2} \) = 8

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.

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.