# Tutor profile: Caitlyn S.

## Questions

### Subject: Pre-Algebra

Simplify the equation: -(5x-2)+5

The first step in this equation is distributing the negative outside of the parenthesis. This negative will go to each term inside the parenthesis turning a positive 5x to -5x and since two negatives make a positive, the 2 will be +2. This makes the equation inside our parenthesis (-5x+2). Then we have to add like terms. Find similar variables and constants. The only like terms in this equation are the constants 2 and 5, which have a sum of 7. Our simplified equation will then be -5x+7

### Subject: Basic Math

18/3=? (Eighteen divided by three equals ?)

In order to solve 18 divided by 3, we have to recognize which number is the dividend and which number is the divisor. The dividend is the number that is being divided and the divisor is the number you will divide by. In this case 18 is the dividend and 3 is the divisor. The question, rephrased is asking, how many groups of three can we create with 18. A simple way to do this is to draw three circles and put one mark at a time in each circle counting until you get to 18. By doing this, you will see that the answer is 9.

### Subject: Algebra

Simplify the following equation: 5x+2+4y-6x+9=?

In order to simplify the equation, you must first start by identifying like terms. This would mean that we are finding all the x-variables, y-variables, and constants (or numbers with no letter next to them). Starting with the x-variable we see 5x and -6x (the subtraction symbol will make it negative). We can solve that by saying 5x-6x= -x. From there I see that there is only one y-variable, so we can leave that alone at 4y. Lastly there are two constants, 2 and 9, which can be added together to give a sum of 11. This would simplify that equation to -x+4y+11.

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