# Tutor profile: Julie A.

## Questions

### Subject: Geometry

If the diameter of a circle is 8, what are the circumference and area?

The formula to calculate circumference of a circle is C = 2(pi)r. We will approximate pi by 3.14. The radius, r, is 1/2 of the diameter. So for this problem, r = 8/2 = 4. Then, C = 2(pi)(4). C = 2(3.14)(4) = 25.12 The formula for area of a circle is A = (pi)r^2. For this problem, A = 3.14(4)^2 = 50.24

### Subject: Pre-Algebra

Solve for x: 2x = 8

To solve for x, we need to isolate x on one side of the equal sign. In this case, divide the terms on both sides of the equal sign by 2. The final answer is x = 4

### Subject: Algebra

Solve for x: 2x -3(4-x) + 6 = 4x + 7

In order to solve for x, we need to isolate x on one side of the equal sign. The first step is to distribute -3 in order to remove the parentheses. 1. 2x - 12 + 3x + 6 = 4x + 7 The second step is to combine like terms on both sides of the equal sign. 2. 5x - 6 = 4x + 7 The third step is to subtract 4x from both sides of the equation. 3. x - 6 = 7 The last step is to add 6 to both sides of the equation. 4. x = 13

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