To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

-2b + 5 = \( \frac{b}{7} \)
7 x (-2b + 5) = b
(7 x -2b) + (7 x 5) = b
-14b + 35 = b
-14b + 35 - b = 0
-14b - b = -35
-15b = -35
b = \( \frac{-35}{-15} \)
b = 2\(\frac{1}{3}\)

A trapezoid is a quadrilateral with one set of parallel sides.

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and 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°).

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.

(5a)(9ab) - (6a²)(4b)
(5 x 9)(a x a x b) - (6 x 4)(a² x b)
(45)(a¹⁺¹ x b) - (24)(a²b)
45a²b - 24a²b
21a²b

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.