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.

2a x 9b = (2 x 9) (a x b) = 18ab

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

a = l x w
a = a x b
a = 5 x 7
a = 35

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -1. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -2) and (2, 0) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = \(\frac{1}{2}\)x - 1

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 3)(y - 5)
(y x y) + (y x -5) + (-3 x y) + (-3 x -5)
y² - 5y - 3y + 15
y² - 8y + 15

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.

(2a)(3ab) - (9a²)(2b)
(2 x 3)(a x a x b) - (9 x 2)(a² x b)
(6)(a¹⁺¹ x b) - (18)(a²b)
6a²b - 18a²b
-12a²b