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Tutor profile: Vincent W.

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Vincent W.
Engineer & IT Consultant with a Passion for Teaching
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Questions

Subject: Pre-Algebra

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Question:

Find the prime factors of 168

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Vincent W.
Answer:

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

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Question:

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?

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Vincent W.
Answer:

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

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Question:

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

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Vincent W.
Answer:

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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