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Adina N.
Passionate, Experienced College-Aged Tutor
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English
TutorMe
Question:

Is the following sentence grammatically correct? Why or why not? "The boy loved to eat dinner with his family, after he finished he would start his homework."

Adina N.
Answer:

The sentence has TWO grammar errors. The first error is a comma splice - there should be a ";" (semi-colon) between "family" and "after" because they are two independent clauses. Secondly, there should be a comma after "finished", because it signifies the end of the prepositional phrase.

ACT
TutorMe
Question:

If x = 4 and y = 2, how much larger is the value of 3x^2 – 6y than the value of 6x – y^2 ?

Adina N.
Answer:

The answer is 20! If we plug in the given values, we can see that the first expression yields 3(4^2)-6(2) and the second expression gives us 6(4)-(2^2). After simplifying, we can see that the first expression is 36 (3*16 = 48, 48-12 = 36). The second expression gives us 20 (24-4=20). But that's not all! We must figure out how much larger the first is than the second, so we must subtract 36 - 20 to get our answer, which is 16.

Algebra
TutorMe
Question:

Solve for x: 5(-4x - 2) - (x + 3) = -4(4x + 5) + 12

Adina N.
Answer:

The answer is x = -1! We know this because if multiply to coefficients for the appropriate terms on either side, we get -20x-10-x-3=-16x-20+12. After simplifying and combining like terms, we get the equation -21x-13=-16x-8. Combining like terms on either side of the equation, we get -5x=5, and we can simplify that to get x=-1!

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