# Tutor profile: Mason E.

## Questions

### Subject: Geometry

How do I solve a^2 + 4^2 = 5^2?

First we need to evaluate the 2 exponents. When something is squared or to the second power it means to multiple the number by itself. In this case we need to do 4*4 and 5*5. This will give us a new equation of a^2 + 16 = 25. Our next step will be to get the variable which is "a" by itself. We will need to subtract 16 from both sides of the equation. This will give us an equation of a^2 = 9. Our last step is to get a by itself. If something is to the second power the opposite of that is to take the square root on both sides. When finding the square root you need to know what number by itself equals 9. In this case the square root of 9 is 3. This gives us a solution of a=3.

### Subject: Basic Math

How do I solve x+1=7?

When you are solving an equation you are trying to find the value of the missing variable, which in this case is the "x". We must get the variable by itself by using the opposite of the operations we see in the equation. In this case we see a +1 which means we need to subtract 1 from 7. This leaves us x=6. We can check our answer by putting 6 back into the equation. This gives us 6+1=7 which is true so we solved it correctly!

### Subject: Algebra

How do I solve the equation 2x+4=8?

The goal is to get the variable which is x by itself. The way that you must do this is by using inverse operations. When we are solving equations we use the opposite order of PEMDAS. In the equation you shared we would need to first move the 4 to the other side of the equal sign by subtracting it from 8 because subtraction is the opposite of addition. Once you complete that operation you should now have 2x=4. The last step we need to do is to move the 2 to the other side of the equal sign so the variable is by itself. We need to divide 4 by 2 because division is the opposite of multiplication. This would give us a solution of x=2. We can check our answer by placing the 2 back in the original equation. 2(2) + 4 = 8. We see this makes a true statement so we solved the problem correctly!

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