# Tutor profile: Sara N.

## Questions

### Subject: Pre-Algebra

What number is 75% of 200?

When dealing with percentages it is very important to know what "is", "what number", and "of" means. In percent problems "is" means equal. In percent problems "of" means to multiply. In percent problems "what number" just means to add a variable. So looking at our problem we can set up an equation. What number (x) is (=) 75% of (*) 200 When put altogether it looks like x = 75% * 200 Then solve. 75% times 200 equals 150. So x = 150. Check and make sure your answer makes sense. 75% is a little less than 100% 100% is equal to 200 So it would make sense to get 150 as your answer because it is a little less than 200.

### Subject: Basic Math

Mike has 200 dollars in his piggy bank. He received from his birthday a total amount of 250 dollars and added this money to his piggy bank. How much money does he have in his piggy bank after his birthday?

We have to start by asking what the question wants us to answer. They want us to see how much money Mike has in is piggy bank after his birthday. We start with what Mike already has. Then we need to figure out our operation to use. Mike already has 200 dollars. If he "receives" money, that means that he was given the money. The problem also says he "added" to his piggy bank. We must add to solve the problem. We would add the 200 dollars (because that's what he starts with) Then we would add 250 dollars to his already 200 dollars. You would add these two amounts together because for your birthday you would count the total amount of money you have and add it to the amount you already had. This is what we are doing for Mike. Our expression would look like: 200 + 250 Then solve: 200 + 250 = 450. Since it is a word problem we have to put our answers in words. Mike had a total of 450 dollars after his birthday.

### Subject: Algebra

Solve for x (keep in simpilist form) : -5 - ( x + 3 ) = 5x

To solve for "x" you first have to get "rid" of the parentheses around x + 3. Since there is a negative sign in front, you have to apply that negative to every term inside the parentheses. You would then have 5 - x - 3 = 5x Then combine like terms. 5 - 3 = 2 Then you would get: 2 - x = 5x Next, we can move our -x to the other side to be "friends" with its like term. Since it is a negative x we have to do the opposite and add it to the other side making it: 2 = 6x Since the 6x represents multiplication, to undo multiplication you have to divide. You'd divide 2 by 6 to get 1/3 = x

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