# Tutor profile: Tonya I.

## Questions

### Subject: Geometry

What is the total sum of the interior angles of a hexagon?

The formula for the total sum of interior angles of a polygon is Sum= 180(n-2), where n is the number of sides the polygon has. In this case a hexagon has 6 sides. So by substitution, Sum= 180(6-2) Sum= 180(4) Sum = 720 So the sum of the interior angles of a hexagon is 720 degrees.

### Subject: Pre-Algebra

Solve : 5x = 30

In order to solve this equation, you must “undo” the operation performed in order to reveal what x is on the left side. In this equation the 5 is multiplying with the x. We want to reverse that, so we need to divide by 5. But an equation is a relationship that shows equality- so the maintain the “equalness” what ever we do to the left side we must also do on the right side of the equation. 5x=30 5x/5 = 30/5 By simplifying we get x=6

### Subject: Algebra

Simplify the following expression: 5x - 6xy + 11y - 3x - 9xy

In algebra, adding and subtracting is “snobby”, meaning that like terms ONLY add with other like terms. For example, an “x” would never think of adding with a “y”! It’s almost like sorting laundry into piles, only the piles have the same variable attached. So in this example 5x will only combine with -3x, and -6xy will only combine with -9xy. The 11y has no other like term with a y in it so it remains the same. So by rearranging: So (5x -3x) + (-6xy-9xy) + 11xy The result is : 2x - 15xy + 11xy

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