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 2b = (7 x 2) (a x b) = 14ab

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.

3a³ - 3a³ = 0a³

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.

b - 5x = -6b - 6x - 7
b = -6b - 6x - 7 + 5x
b + 6b = -6x - 7 + 5x
7b = -x - 7
b = \( \frac{-x - 7}{7} \)
b = \( \frac{-x}{7} \) + \( \frac{-7}{7} \)
b = -\(\frac{1}{7}\)x - 1

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.

For parallel lines with a transversal, the following relationships apply:

• angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
• alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
• all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
• same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with a° = 40, the value of c° is 40.