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)(2ab) + (4a²)(3b)
(7 x 2)(a x a x b) + (4 x 3)(a² x b)
(14)(a¹⁺¹ x b) + (12)(a²b)
14a²b + 12a²b
26a²b

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.

4a⁶ + 5a⁶ = 9a⁶

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.

8b + 9y = -5b - 5y + 6
8b = -5b - 5y + 6 - 9y
8b + 5b = -5y + 6 - 9y
13b = -14y + 6
b = \( \frac{-14y + 6}{13} \)
b = \( \frac{-14y}{13} \) + \( \frac{6}{13} \)
b = -1\(\frac{1}{13}\)y + \(\frac{6}{13}\)

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 w° = 26, the value of c° is 26.

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.