Math: c81b6c57

ID: c81b6c57

(SAT Suite Question Bank > Find Questions > Assessment: SAT + Test: Math + Domain: Advanced Math)

Comment: Stick to the only part that matters.

Method 1: Because the p coefficient is attached to the x-term, not x^2, we can just focus on what would produce x-terms in isolation. Still, be careful with the quantity (p + 4). If p is a number, then -16x should be distributed into both terms, since there is no way to meaningfully add p and 4.

3(px) - 16x(p + 4) = -155x

3px - 16px - 64x = -155x

-13p - 64 = -155

-13p = -91

p = 7

The correct answer is (B).

Method 2: It might be best to use the calculator by plugging in the answer choices and testing for equivalence, but it is also okay to graph two equations and use a slider for p to find where the graphs overlap.

You want the red parabola to move down to the green one. Fortunately, two of the answer choices fall within the default parameters for p: -3 makes the red parabola shift up, while 7 makes it disappear entirely behind the green one. Job done.

The correct answer is (B).

Method 3: You can lean directly on the answer choices and substitute each value, one by one, to test for equivalence.

A. 3(2x^2 + (-3)x + 8) - 16x((-3) + 4) --> 6x^2 - 9x + 24 + 48x - 64x --> 

6x^2 -25x + 24 ≠ 6x^2 - 155x + 24 X

B. 3(2x^2 + (7)x + 8) - 16x((7) + 4) --> 6x^2 + 21x + 24 - 112x - 64x -->

6x^2 - 155x + 24 = 6x^2 - 155x + 24 √ There is no need to go further. The correct answer is (B).