Would you please work # 12 in section 3 of test 6?

I’m not sure you are answering questions about Practice Test 6 yet. If so, would you please work # 12 in section 3 of that test?

Sure I am—I just haven’t been tracking those answers yet. I’ll get that set up soon.

This one is a straight up plug in question. Say x = 2:

$\begin{align*}&\dfrac{4x^2+6x}{4x+2}\\=&\dfrac{4(2)^2+6(2)}{4(2)+2}\\=&\dfrac{16+12}{8+2}\\=&\dfrac{28}{10}\\=&2.8\end{align*}$

Which answer choice simplifies to 2.8?

Obviously not A, B, or C (C is 2 minus something positive, so it can’t be 2.8).

Confirm D:

$\begin{align*}&2+1-\dfrac{2}{4(2)+2}\\=&3-\dfrac{2}{10}\\=&3-0.2\\=&2.8\end{align*}$

You could also do the long division…but why? 🙂

t6s3-12

That tells you that the quotient is x + 1 with a remainder of 2, just like choice D says.

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