Question #d0a7871e - SAT Suite Question Bank

ID: d0a7871e

Modded SAT Question Bank by Abdullah Mallik

$y equals, x plus 1, and, y equals, x squared plus x$

If $the ordered pair x comma y$ is a solution to the system of equations above, which of the following could be the value of x ?

–1
0
2
3

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Correct Answer: A

Rationale

Choice A is correct. It is given that y = x + 1 and y = x² + x. Setting the values for y equal to each other yields x + 1 = x² + x. Subtracting x from each side of this equation yields x² = 1. Therefore, x can equal 1 or –1. Of these, only –1 is given as a choice.

Choice B is incorrect. If x = 0, then x + 1 = 1, but x² + x = 0² + 0 = 0 ≠︀ 1. Choice C is incorrect. If x = 2, then x + 1 = 3, but x² + x = 2² + 2 = 6 ≠︀ 3. Choice D is incorrect. If x = 3, then x + 1 = 4, but x² + x = 3² + 3 = 12 ≠︀ 4.

Question Difficulty: Medium