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

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.

4a x 5b = (4 x 5) (a x b) = 20ab

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

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.

You need to find the value of a so solve the first equation in terms of x:

a + x = -5
x = -5 - a

then substitute the result (-5 - 1a) into the second equation:

-8a - 1(-5 - a) = 1
-8a + (-1 x -5) + (-1 x -a) = 1
-8a + 5 + a = 1
-8a + a = 1 - 5
-7a = -4
a = \( \frac{-4}{-7} \)
a = \(\frac{4}{7}\)