# Tutor profile: Vincent W.

## Questions

### Subject: Pre-Algebra

Find the prime factors of 168

First, we identify whether 168 is even or odd. Since it is even, the smallest prime number we can divide by is 2. 168 / 2 = 84 Second, we again divide by 2 since 84 is still even. 84 / 2 = 42 Third, we again divide by 2 since 42 is still even. 42 / 2 = 21 Fourth, since 21 is not divisible by 2, we divide by 3, the next biggest prime number. 21 / 3 = 7 Fifth, since 7 is a prime number, 168 is now fully factored. Sixth, we list the divisors to write the factors of 168. 2 × 2 × 2 × 3 × 7

### Subject: Basic Math

Matt's car has a fuel efficiency of 12 1/2 miles per gallon. If Matt's fuel tank is empty and he fills it with 7 1/2 gallons of fuel, how far can Matt drive with the car?

First, convert the mixed numbers into fractions. 12 1/2 = (12 * 2 + 1)/2 = 25/2 miles per gallon 7 1/2 = (7 * 2 + 1)/2 = 15/2 gallons Second, multiply the fuel efficiency by the amount of fuel that was added to the tank. 25/2 miles per gallon * 15/2 gallons = (25 * 15)/2 = 300/2 = 150 miles

### Subject: Algebra

Solve the equation: 4(-2x + 1) - (2x - 5) = -2(3x + 8) + 10

First, expand the equation by multiplying. -8x + 4 - 2x + 5 = -6x - 16 + 10 Second, group like terms on both sides of the equal sign. -10x + 9 = -6x - 6 Third, bring common terms to a common side. -4x = -15 Finally, solve for x. x= 15/4

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