sat suite question viewer

Advanced Math / Nonlinear equations in one variable and systems of equations in two variables Difficulty: Medium

p = 20 + 16 n

The given equation relates the numbers p and n , where n is not equal to 0 and p>20. Which equation correctly expresses n in terms of p ?

Back question 55 of 148 Next

Explanation

Choice D is correct. To express n in terms of p , the given equation must be solved for n . Subtracting 9 from both sides of the given equation yields p-9=14n. Since n is not equal to 0 , multiplying both sides of this equation by n yields p-9n=14. It's given that p>9, which means p - 9 is not equal to 0 . Therefore, dividing both sides of p-9n=14 by p-9 yields p-9np-9=14p-9, or n=14p-9.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.