# Tutor profile: Thomas O.

## Questions

### Subject: Pre-Algebra

Multiple the following terms: (4x^5) * (-5x^-2)

To start we can multiple the 4 and -5. 4*5 gives us 20 and the one negative sign makes this a negative answer, so -20. Now we can multiple the x's. When multiplying exponents of the same base you add them together. So here it is 5+(-2). This gives us 3. Combining our two answers gives us -20x^3.

### Subject: Basic Math

John has ten apples and Jessica wants to buy all ten apples for forty dollars. How much is Jessica paying per apple?

The phrase "per apple" shows us this is a division problem. So to find out how much Jessica is paying per apple we need to divide the number of dollars by the number of apples. So 40 divided by 10. (40/10). 10 goes into 40 evenly so the answer is $4 per apple.

### Subject: Algebra

Given the following series of equations solve for x and y. 3x + 2y = 8 x + y = 3

First solve the bottom equation for x. So x=3-y Then substitute this solution into the top equation. So 3*(3 - y) + 2y = 8 Now solve for y. So 9 - 3y + 2y = 8 / 9 - y = 8 / y = 1 Now substitute that answer into the bottom equation. So x + 1 = 3 / x=2 Answer. X=2, Y=1

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