# Tutor profile: Carly W.

## Questions

### Subject: Pre-Algebra

A bag contains x amount of purple marbles. This is 6 more than 2 times the number of red marbles in the bag. Write the algebraic expression for the number of red marbles in the bag.

1. Jot down the given information x = number of purple marbles there is 6 more than 2 times the number of red marbles in the bag 2. combine relationship between purple and white marbles with the given information x - 6 / 2 (x-6) : there are 6 more purple marbles than red / 2 : there are 2 times the number of purple marbles in the bag Answer : (x - 6) /2

### Subject: Basic Math

Two angles of a triangle measure 25 degrees and 75 degrees. What is the measure for the third angle?

Remember: Triangle is 180 degrees in total. 1. set up equation 25 + 75 + x = 180 2. Simplify equation 100 + x = 180 3. Isolate x x = 180 - 100 4. Solve for x x = 80 Answer: The third angle is 80 degrees.

### Subject: Algebra

1/2x - 4 = 1/9 (6-3x) Goal: find x

1. distribute 1/9 1/2x - 4 = 2/3 - 1/3x 2. combine like terms 1/2x + 1/3x = 2/3 + 4 3. simplify x/2 + 1/3x (find common denominator) 3/6x + 2/6x = 5/6x 2/3 + 4 (find common denominator) 2/3 + 12/3 = 14/3 (simplify) -> 5 4. rewrite simplified equation 5/6x = 14/3 5. divide x = (14/3) / (5/6) 6. flip fraction and multiple x = (14/3) * 6/5 10. simplify and answer x= 28/5