SAT Math Multiple Choice Practice Question 510: Answer and Explanation

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Question: 510

9. In the xy-plane, which of the following is a point of intersection between the graphs of y = x + 2 and y = x2 + x - 2 ?

A. (0, -2)
B. (0, 2)
C. (1, 0)
D. (2, 4)
E. (3, 5)

Correct Answer: D

Explanation:

D Test the answer choices. The first number in each pair represents x, and the second number represents y. The ordered pair should work in both functions. Try C in the first equation: Does 0 = (1) + 2? No. So, C is not the answer. Try D in the first equation: Does 4 = (2) + 2? Yes. So, try D in the second equation: Does 4 = (2)2 + 2 – 2? Yes. Because D works in both equations, it is the correct answer.

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