# Tutor profile: Danielle L.

## Questions

### Subject: Pre-Algebra

Simplify by using the correct order of operations: 24 / 8 - 4^2

First, let's review our order of operations: PEDMAS 1. Parentheses 2. Exponents 3. Multiply & Divide 4. Add & Subtract So first, do we have any parentheses? No Do we have any exponents? Yes! 4^2 = 16, so we can put 16 in the place of 4^2 in our expression We now have: 24 / 8 - 16 Do we have any multiplication or division? Yes! 24/8 = 3, so now we put 3 where we previously had 24/8 We now have 3 - 16 Do we have any addition or subtraction? Yes we do! 3 - 16 = -13! Our answer is -13

### Subject: Basic Math

Roger ran 12 laps every day for 8 days. How many laps did he run in all?

We have 2 options on how to get to the correct answer, the first being adding up 12 for each of the 8 days he ran: 12+12+12+12+12+12+12+12 = 96 OR a way more efficient way of using our multiplication skills: 12 x 8 = 96 Multiplication is a way more simple way to get to the same result of adding the same number multiple times.

### Subject: Algebra

The three angles of a triangle are x + 20, 2x + 50 and 3x - 10. What is the value of x?

First thing we need to do to solve for x is to create our expression (making it sound fancy, I promise you can do this!). We know that all of the angles within a triangle add up to 180, so we need to add up each of our angles to equal 180. (x+20) + (2x+50) + (3x-10) = 180 Now we simply, we combine our like-terms (our numbers with x's and our solo-numbers) That would look something like this... x+2x+3x = 6x and 20+50-10 = 60 So now we have: 6x + 60 = 180 Combine even more like-terms by subtracting 60 from both sides: 6x = 120 Now to solve for x, we divide both sides by 6: x = 20 You've found x! X is 20!

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