# Tutor profile: Nicole Y.

## Questions

### Subject: Pre-Algebra

Timmy's salary is $26,000 per year(52 weeks). How much money does Timmy make weekly?

First, we know that that Timmy makes $26,000 for a whole year, which is a total of 52 weeks. That means that (a number) times 52 = 26,000. We need to break it down to find out how much he earns for just 1 week. What is that number multiplied times 52 that gives us 26,000. We could use division (the opposite of multiplication) to find out Timmy's weekly salary. it would look like this 26,000/52 = 500 Answer: Timmy would make $500 weekly. We could check that by multiplying 500 * 52 to make sure we get 26,000.

### Subject: Basic Math

A student finds the slope of the line between the points (4,3) and (-2,-2). She writes -2-4/-2-3. What mistake did she make? Correctly solve the problem.

*To find the slope between the 2 points, we would use the slope formula y2-y1/x2-x1. *If you label the points first, we may see where the mistake happened: (4 , 3) and (-2 , -2) (x1, y1) (x2, y2) *Next, we can substitute our x - and y-values in the slope formula: -2-3/-2-4. *Mistake: We can now see the student's mistake. She substituted the x-values in the numerator and the y-values in the denominator. It should be the y-values in the numerator(top) and the x-values in the denominator(bottom). *The last step is to correctly find the slope. *Subtract -2-3 to get -5. Subtract -2-4 to get -6. *Correct answer: -5/-6 or 5/6, since a negative divided by a negative is positive.

### Subject: Algebra

Given the function, f(x) = -2x^2 - 7x + 11, find f(2).

The input for this function is 2 which means we will need to find the output of this function when x = 2. First, substitute 2 in place of x everywhere in the equation: f(2) = -2(2)^2 - 7(2) + 11 Second, use the order of operations to simplify (exponents first): f(2) = -2(4) - 7(2) +11 Third, multiply: f(2) = -8 - 14 + 11 Fourth, subtract: f(2) = -22 + 11 Last, add: f(2) = -11. When x = 2, the output is -11. It's just that simple. :)

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