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.

7a x 7b = (7 x 7) (a x b) = 49ab

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

5a - 5x = -a - 8x - 1
5a = -a - 8x - 1 + 5x
5a + a = -8x - 1 + 5x
6a = -3x - 1
a = \( \frac{-3x - 1}{6} \)
a = \( \frac{-3x}{6} \) + \( \frac{-1}{6} \)
a = -\(\frac{1}{2}\)x - \(\frac{1}{6}\)

The volume of a cube is height x length x width:

v = h x l x w
v = 4 x 3 x 3
v = 36

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

5a³ + 7a³ = 12a³

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.