# Tutor profile: Kelly B.

## Questions

### Subject: Pre-Algebra

2x=8 Solve for x.

The only way to solve for X is to get X alone on the opposite side of the equal sign. 2x is the same thing as 2 times X. They are the product of multiplication. In order to solve for X, we have to undo the number from it to get X alone, and the only way to undo multiplication is to divide. However, what we do to one side of the equation is what we have to do to the other. This is so that we don't change the equation. Therefore if we divide X by 2, we have to divide 8 by 2 as well. Perform this operation, and you should get, x=4 We are now left with X alone on one side of the equation, with the problem solved. Answer: x=4.

### Subject: Basic Math

Kelly and Aj were in an an argument. Kelly can run one lap around a track in 3 minutes. Yesterday she told Aj that she can run 4 laps in 8 minutes. Aj said, "That's impossible! There's no way you can do that." Keeping in mind that it takes Kelly 3 minutes to run 1 lap, is it possible for Kelly to run 4 laps in 9 minutes? Or is she lying?

To answer this question, we need to find key words in the problem to know what numbers we will be working with. So, lets isolate what we know. -Kelly is capable of running 1 lap in 3 minutes. -She is telling Aj that she can run 4 laps in 8 minutes. We know for a fact that 1 lap takes 3 minutes. So, with that being said, we have to mathematically solve how long it would take Kelly to run 4 laps. So instead of one lap, she is running 4. Let's, write this out. Lap 1= 3 minutes Lap 2=3 minutes Lap 3= 3 minutes Lap 4= 3 minutes The best way to solve this problem is with using multiplication. If 1 lap = 3 minutes, and we are solving for the time it takes to run 4 laps, we could write out 3 minutes x 4 laps = 12 minutes. Therefore, to answer the question of the problem, we can conclude that Kelly is lying. It would have to take her 12 minutes to run four laps, not 9 minutes.

### Subject: Algebra

2x+4=8 Solve for the variable X.

1.) The first step is to get X all by itself on one side of the equal sign. 2.) The only way to do that is to subtract 4 from that side of the equation. 3.) However, if we change one side of the equation we have to change the other side to make sure that we are not taking anything out of the equation. 4.) Therefore, we would have to subtract 4 from the other side of the equation as well. In other words, we have to subtract 4 from 8 too. 5.) We are now left with 2x=4. We have isolated X, and now we are left to solve for X. 6.) To solve for X we have to find a way to get X by itself without changing the entire equation. 7.) Imagine that between the number 2 and the variable X that there is a hidden multiplication sign. Meaning that 2 times X = 2x. 8.) The only way to get X by itself now is to divide it by 2 since the number and variable are multiplied together. 9.) But once again, what we have to do to one side of the equation is also what we have to do to the other. 10.) Therefore, we have to divide what's left of the entire equation (2x=4), by 2. 11.) We now have our equation narrowed down to x=2. You have now isolated X to be alone, and solved for X. The answer is x=2.

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